Forrester's paradox

From HandWiki
Short description: Paradox of deontic logic created by James William Forrester


Forrester's paradox, also known as the paradox of gentle murder, is a paradox of deontic logic attributed to James Forrester.[1][2][3] It is a version of the Good Samaritan paradox.

Forrester's argument is that, starting from the statements that

  • It is obligatory (under the law) that Smith not murder Jones.
  • It is obligatory that, if Smith murders Jones, Smith murder Jones gently.

it logically follows that:

  • If Smith murders Jones, it is obligatory, that Smith murder Jones gently.

However, if it were actually the case that Smith murdered Jones, it can then be deduced that:

  • It is obligatory, that Smith murder Jones

which contradicts the first statement, leading to a logical fallacy.[4]

A number of arguments have been advanced that Forrester's paradox is invalid, for example that it is the result of a confusion of scope,[1][5] or a misuse of deduction rules.[6]

References

  1. 1.0 1.1 Sinnott-Armstrong, Walter (1959). "A solution to Forrester's paradox of gentle murder". Journal of Philosophy 56 (2): 162–168. doi:10.5840/jphil195956233. ISSN 0022-362X. http://dx.doi.org/10.5840/jphil195956233. 
  2. Goble, Lou (1991). "Murder Most Gentle: The Paradox Deepens". Philosophical Studies 64 (2): 217–227. doi:10.1007/BF00404830. ISSN 0031-8116. https://www.jstor.org/stable/4320256. 
  3. Meyer, J.-J.Ch. (1987). "A simple solution to the "deepest" paradox in deontic logic". Logique et Analyse 30 (117/118): 81–90. ISSN 0024-5836. https://www.jstor.org/stable/44084186. 
  4. Forrester, James William (1984). "Gentle Murder, or the Adverbial Samaritan". The Journal of Philosophy 81 (4): 193–197. doi:10.2307/2026120. ISSN 0022-362X. https://www.jstor.org/stable/2026120. 
  5. Clark, Romane (1986-08-01). "Murderers are not obliged to murder; another solution to Forrester's paradox". Philosophical Papers 15 (1): 51–57. doi:10.1080/05568648609506248. ISSN 0556-8641. https://doi.org/10.1080/05568648609506248. 
  6. Peterson, Clayton; Marquis, Jean-Pierre (2012-10-01). "A Note on Forrester's Paradox" (in en). Polish Journal of Philosophy 6 (2): 53–70. doi:10.5840/pjphil20126213. https://www.pdcnet.org/pdc/bvdb.nsf/purchase?openform&fp=pjphil&id=pjphil_2012_0006_0002_0053_0070.