Nicholas Denyer's criticism of an article on inconsistent arithmetics is correct in some points, but also contains some misinterpretations, ad hominem arguments and sketchy reasoning. The direct argument for accepting the least inconsistent arithmetic M rather than the standard arithmetic is unacceptable, as Denyer correctly points out. However, the indirect argument for M still stands, despite Denyer's criticisms. The indirect argument shows that M avoids some difficulties related to classical theorems such as Church's Theorem, Tarski's Theorem and Godel's Incompleteness Theorems.
Source Citation (MLA 8 th Edition)
Priest, Graham. "On inconsistent arithmetics: a reply to Denyer." Mind, vol. 105, no. 420, 1996, p. 649+. Academic OneFile, Accessed 16 June 2019.
You Are Viewing A Summary PageThe article found is from the Academic OneFile database.
You may need to log in through your institution or contact your library to obtain proper credentials.