Philosophy:Validity (logic)
In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.[1] It is not required for a valid argument to have premises that are actually true,[2] but to have premises that, if they were true, would guarantee the truth of the argument's conclusion. Valid arguments must be clearly expressed by means of sentences called well-formed formulas (also called wffs or simply formulas).
The validity of an argument can be tested, proved or disproved, and depends on its logical form.[3]
Arguments

In logic, an argument is a set of statements expressing the premises (whatever consists of empirical evidences and axiomatic truths) and an evidence-based conclusion.
An argument is valid if and only if it would be contradictory for the conclusion to be false if all of the premises are true.[3] Validity does not require the truth of the premises, instead it merely necessitates that conclusion follows from the formers without violating the correctness of the logical form. If also the premises of a valid argument are proven true, this is said to be sound.[3]
The corresponding conditional of a valid argument is a logical truth and the negation of its corresponding conditional is a contradiction. The conclusion is a logical consequence of its premises.
An argument that is not valid is said to be "invalid".
An example of a valid (and sound) argument is given by the following well-known syllogism:
- All men are mortal. (True)
- Socrates is a man. (True)
- Therefore, Socrates is mortal. (True)
What makes this a valid argument is not that it has true premises and a true conclusion, but the logical necessity of the conclusion, given the two premises. The argument would be just as valid were the premises and conclusion false. The following argument is of the same logical form but with false premises and a false conclusion, and it is equally valid:
- All cups are green. (False)
- Socrates is a cup. (False)
- Therefore, Socrates is green. (False)
No matter how the universe might be constructed, it could never be the case that these arguments should turn out to have simultaneously true premises but a false conclusion. The above arguments may be contrasted with the following invalid one:
- All men are immortal. (False)
- Socrates is a man. (True)
- Therefore, Socrates is mortal. (True)
In this case, the conclusion contradicts the deductive logic of the preceding premises, rather than deriving from it. Therefore, the argument is logically 'invalid', even though the conclusion could be considered 'true' in general terms. The premise 'All men are immortal' would likewise be deemed false outside of the framework of classical logic. However, within that system 'true' and 'false' essentially function more like mathematical states such as binary 1s and 0s than the philosophical concepts normally associated with those terms.
A standard view is that whether an argument is valid is a matter of the argument's logical form. Many techniques are employed by logicians to represent an argument's logical form. A simple example, applied to two of the above illustrations, is the following: Let the letters 'P', 'Q', and 'S' stand, respectively, for the set of men, the set of mortals, and Socrates. Using these symbols, the first argument may be abbreviated as:
- All P are Q.
- S is a P.
- Therefore, S is a Q.
Similarly, the third argument becomes:
- No P's are Q.
- S is a P.
- Therefore, S is not a Q.
An argument is termed formally valid if it has structural self-consistency, i.e. if when the operands between premises are all true, the derived conclusion is always also true. In the third example, the initial premises cannot logically result in the conclusion and is therefore categorized as an invalid argument.
Valid formula
A formula of a formal language is a valid formula if and only if it is true under every possible interpretation of the language. In propositional logic, they are tautologies.
Statements
A statement can be called valid, i.e. logical truth, if it is true in all interpretations.
Soundness
Validity of deduction is not affected by the truth of the premise or the truth of the conclusion. The following deduction is perfectly valid:
- All animals live on Mars. (False)
- All humans are animals. (True)
- Therefore, all humans live on Mars. (False)
The problem with the argument is that it is not sound. In order for a deductive argument to be sound, the argument must be valid and all the premises must be true.[3]
Satisfiability
Model theory analyzes formulae with respect to particular classes of interpretation in suitable mathematical structures. On this reading, formula is valid if all such interpretations make it true. An inference is valid if all interpretations that validate the premises validate the conclusion. This is known as semantic validity.[4]
Preservation
In truth-preserving validity, the interpretation under which all variables are assigned a truth value of 'true' produces a truth value of 'true'.
In a false-preserving validity, the interpretation under which all variables are assigned a truth value of 'false' produces a truth value of 'false'.[5]
-
Parameter 1=time required!
Preservation properties Logical connective sentences True and false preserving: Proposition
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%"
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Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
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Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
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Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
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Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
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collapsedexpandedautocollapse
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In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
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- Windows Firewall [2001]
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- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Logical disjunction (OR, )
True preserving only:
Tautology ( )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
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Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
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In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
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- Windows Firewall [2001]
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Discontinued- Exchange Online Protection [2007]
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Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
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- Windows Live OneCare [2006]
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Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Biconditional (XNOR, )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
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|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Implication ( )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Converse implication ( )
False preserving only:
Contradiction ( )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Exclusive disjunction (XOR, )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Nonimplication ( )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Converse nonimplication ( )
Non-preserving:
Negation ( )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}} Alternative denial (NAND, )
Slovene pronunciation: [{{{1}}}]Thai pronunciation: [{{{1}}}]Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2000), Cohomology of Number Fields, Grundlehren der Mathematischen Wissenschaften, 323, Berlin: Springer-Verlag, ISBN 978-3-540-66671-4Template:ScribuntoPersian pronunciation: [{{{1}}}]{| class="wikitable" width="100%" Date/Time (UTC) Configuration Serial number Launch site Outcome Payload Separation orbit Operator Function Remarks Parameter 1=time required!
This page may be too long to read and navigate comfortably.Hawaiian pronunciation: [{{{1}}}]German pronunciation: [{{{1}}}]Dutch pronunciation: [{{{1}}}]Belarusian pronunciation: [{{{1}}}]Catalan pronunciation: [{{{1}}}]{{{1}}}Mongolian pronunciation: [{{{1}}}]Javanese pronunciation: [{{{1}}}]
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested Template transclusions
Transclusion maintenance Check completeness of transclusions
Not doneLatin pronunciation: [{{{1}}}]
Vietnamese pronunciation: [{{{1}}}]Piedmontese pronunciation: [{{{1}}}]Slovak pronunciation: [{{{1}}}]text-align: auto;Expression error: Unrecognized punctuation character "{"./Expression error: Unrecognized punctuation character "{". (age Expression error: Unrecognized punctuation character "{".–Expression error: Unrecognized punctuation character "{".)Occitan pronunciation: [{{{1}}}]data-sort-value="" style="background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center; " class="table-na" | VariesHejazi pronunciation: [{{{1}}}]Spanish pronunciation: [{{{1}}}]Portuguese pronunciation: [{{{1}}}]Irish pronunciation: [{{{1}}}]Mayan pronunciation: [{{{1}}}]Nahuatl pronunciation: [{{{1}}}]Kyrgyz pronunciation: [{{{1}}}]Scottish Gaelic pronunciation: [{{{1}}}]Ukrainian pronunciation: [{{{1}}}]Burmese pronunciation: [{{{1}}}]Hindi pronunciation: [{{{1}}}]-4500 —–-4000 —–-3500 —–-3000 —–-2500 —–-2000 —–-1500 —–-1000 —–-500 —–0 —
Done
To doRussian pronunciation: [{{{1}}}]Greek pronunciation: [{{{1}}}]
Danish pronunciation: [{{{1}}}]Northern Sami pronunciation: [{{{1}}}]Mandarin pronunciation: [{{{ipa}}}]Cantonese pronunciation: [{{{1}}}]Entry from Validity (logic) from TCI Europe, retrieved on {{{Date}}}Chambers, Robert; Thomson, Thomas Napier (1857). "[[s:A biographical dictionary of eminent Scotsmen/|]]". A Biographical Dictionary of Eminent Scotsmen. Glasgow: Blackie and Son.{{{1}}}Polish pronunciation: [{{{1}}}]Malagasy pronunciation: [{{{1}}}]Japanese pronunciation: [{{{1}}}]Armenian pronunciation: [{{{1}}}]Czech pronunciation: [{{{1}}}]∶Manx pronunciation: [{{{1}}}]http://www.iucnredlist.org/apps/redlist/details/full/{{{1}}}/0 Alemannic German pronunciation: [{{{1}}}]Tagalog pronunciation: [{{{1}}}]Egyptian Arabic pronunciation: [{{{1}}}]French pronunciation: [{{{1}}}]Error: Invalid time.
This template does not display in the mobile view of Wikipedia; it is desktop only. See Template:Navbox visibility for a brief explanation. This is a navigational template created using {{navbox}}. It can be transcluded on pages by placing
{{Validity (logic)}}below the standard article appendices.Initial visibility
This template's initial visibility currently defaults to
autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute), it is hidden apart from its title bar; if not, it is fully visible.To change this template's initial visibility, the
|state=parameter may be used:{{Validity (logic)|state=collapsed}}will show the template collapsed, i.e. hidden apart from its title bar.{{Validity (logic)|state=expanded}}will show the template expanded, i.e. fully visible.
Templates using the classes
class=navbox({{navbox}}) orclass=nomobile({{sidebar}}) are not displayed in article space on the mobile web site of English Wikipedia. Mobile page views accounted for 60% to 70% of all page views from 2020 through 2025. Briefly, these templates are not included in articles because 1) they are not well designed for mobile, and 2) they significantly increase page sizes—bad for mobile downloads—in a way that is not useful for the mobile use case. You can review/watch phab:T124168 for further discussion.TemplateData
A navigational box that can be placed at the bottom of articles.
Template parameters
Parameter Description Type Status State stateThe initial visibility of the navbox
- Suggested values
collapsedexpandedautocollapse
String suggested
In progressPalomares, M. L. D. and Pauly, D., eds. (2011). "{{{1}}} {{{2}}}" in SeaLifeBase. April 2011 version.Turkish pronunciation: [{{{1}}}]Finnish pronunciation: [{{{1}}}]Froese, Rainer and Pauly, Daniel, eds. (2006). "{{{1}}} {{{2}}}" in FishBase. April 2006 version.
...
—
—
—
—
—
—
- Windows Firewall [2001]
- Baseline Security Analyzer [2004]
- Malicious Software Removal Tool [2005]
- Windows Defender [2006]
- Microsoft SmartScreen [2006]
- Microsoft Security Essentials [2009]
- Microsoft Safety Scanner [2011]
Discontinued- Exchange Online Protection [2007]
- System Center Data Protection Manager [2007]
- Identity Manager [2010]
Related topics- MSAV [1993]
- Threat Management Gateway [1997]
- OneCare Safety Scanner [2006]
- Unified Access Gateway [2007]
- Windows Live OneCare [2006]
- RootkitRevealer [2006]
- Enhanced Mitigation Experience Toolkit [2009]
Lao pronunciation: [{{{1}}}]Tibetan pronunciation: [{{{1}}}]Khmer pronunciation: [{{{1}}}]data-sort-value="" style="vertical-align:middle; text-align:center" class="table-na" | —{{{1}}}Welsh pronunciation: [{{{1}}}]
Partially doneAthabaskan pronunciation: [{{{1}}}]Māori pronunciation: [{{{1}}}]IPA: [{{{1}}}]Bulgarian pronunciation: [{{{1}}}]Korean pronunciation: [{{{1}}}]Icelandic pronunciation: [{{{1}}}]Sanskrit pronunciation: [{{{1}}}]Bengali pronunciation: [{{{1}}}]Indonesian pronunciation: [{{{1}}}]Serbo-Croatian pronunciation: [{{{1}}}]CROSBI {{{1}}}Joint denial (NOR, )
See also
References
- ↑ Validity and Soundness – Internet Encyclopedia of Philosophy
- ↑ Jc Beall and Greg Restall, "Logical Consequence", The Stanford Encyclopedia of Philosophy (Fall 2014 Edition).
- ↑ 3.0 3.1 3.2 3.3 Gensler, Harry J. (January 6, 2017). Introduction to logic (Third ed.). New York: Routledge. ISBN 978-1-138-91058-4. OCLC 957680480.
- ↑ L. T. F. Gamut, Logic, Language, and Meaning: Introduction to Logic, University of Chicago Press, 1991, p. 115.
- ↑ Robert Cogan, Critical Thinking: Step by Step, University Press of America, 1998, p. 48.
Further reading
- Barwise, Jon; Etchemendy, John. Language, Proof and Logic (1999): 42.
- Beer, Francis A. "Validities: A Political Science Perspective", Social Epistemology 7, 1 (1993): 85-105.
Original source: https://en.wikipedia.org/wiki/Validity (logic). Read more
