Recursive and non recursive formulas in finitism
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概要
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This report shows that the diagonalization in the set of all finite length unary functions (formulas) produces a non-finite length function (formula) under a strict finitism. This fact gives a chance to review several established theories such as the first incompleteness theorem, the diagonal theorem, a typical proof of the halting problem of a Turing machine, and so on. A finitism without the concept of infinity does not cover the Godel's world.
- 一般社団法人電子情報通信学会の論文
- 2012-06-14
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- Recursive and non recursive formulas in finitism
- Recursive and non recursive formulas in finitism