农学 发表于 2025-3-25 03:47:06
Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan TheoremIn a weak system for intuitionistic analysis, one may prove, using the Fan Theorem as an additional axiom, that, for every continuous function ø from the unit square U to itself, for every positive rational e, there exists x in U such that |ø(x) − x| < e. Conversely, if this statement is taken as an additional axiom, the Fan Theorem follows.Hemiparesis 发表于 2025-3-25 07:38:19
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Book 2009ber formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert‘s formalist and pr性行为放纵者 发表于 2025-3-26 02:56:40
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0166-6991 s of mathematics in a historical perspective.Analyses the cl.The period in the foundations of mathematics that started in 1879 with the publication of Frege‘s .Begriffsschrift .and ended in 1931 with Gödel‘s .Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. can r伪造者 发表于 2025-3-26 12:09:07
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http://reply.papertrans.cn/59/5882/588168/588168_29.png光亮 发表于 2025-3-26 17:37:27
Protocol Sentences for Lite Logicismtheoretical structure of the science goes far beyond the data. After this view is introduced and compared and contrasted with others, the question just what form the “protocol sentences” or reports of data are to take is examined.