Rosser's trick is a method for proving a variant of Gödel's incompleteness theorems not relying on the assumption that the theory being considered is ω- ... Background · The Rosser sentence · Rosser's theorem

The main difficulty of the first incompleteness theorem of Gödel is the complicated condition of ω-consistency. Rosser found a trick that avoids this ...

21 февр. 2018 г. · Rosser's theorem claims that even for contradiction-free proof systems, there are always sentences that can neither be proven nor disproven.

21 июл. 2011 г. · Rosser's Theorem: a strengthening of Gödel's Theorem from 1936 that's much less well-known among the nerd public than it ought to be.

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. Tarski's undefinability theorem · Halting problem · Cantor's diagonal argument

29 авг. 2012 г. · Gödel-Rosser Theorem: If PA is consistent then ψ is indecidible, therefore PA is incomplete. Rosser sentence - Mathematics Stack Exchange Is Rosser's trick necessary? - Math Stack Exchange How does Rosser's Theorem actually show that a system is ... Computability viewpoint of Godel/Rosser's incompleteness ... Другие результаты с сайта math.stackexchange.com

Rosser [1936] subsequently showed that PA can be proved incomplete under the still weaker metamathematical assumption that PA is simply consistent!

26 июл. 2016 г. · Gödel–Rosser's Incompleteness Theorem is generalized by showing n+1-incompleteness of any n+1-definable extension.

2 нояб. 2015 г. · Godel's First Incompleteness Theorem is generalized to definable theories, which are not necessarily recursively enumerable, ...

9 июн. 2015 г. · Godel's First Incompleteness Theorem is generalized to definable theories, which are not necessarily recursively enumerable, by using a couple of syntactic- ...