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证明论的数学意义。

The mathematical significance of proof theory.

作者信息

Macintyre Angus

机构信息

Queen Mary, University of London, London, UK.

出版信息

Philos Trans A Math Phys Eng Sci. 2005 Oct 15;363(1835):2419-35. doi: 10.1098/rsta.2005.1656.

Abstract

Returning to old ideas of Kreisel, I discuss how the mathematics of proof theory, often combined with tricks of the trade, can occasionally be useful in extracting hidden information from informal proofs in various areas of mathematics.

摘要

回到克赖泽尔的旧观点,我将讨论证明论的数学,通常与行业技巧相结合,如何偶尔有助于从数学各领域的非正式证明中提取隐藏信息。

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