Julius Caesar and Basic Law V
Julius Caesar and Basic Law V
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朱利叶斯·凯撒和基本法第五
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Richard G. Heck
中科院分区：
文献类型：
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作者：
Richard G. Heck
s 是一一对应的——作为基数概念的解释，因此也是算术最基本的原理。但臭名昭著的《第五基本法》也出现了类似的问题。本文调查了弗雷格对凯撒问题的多次讨论，在他的职业生涯中多次回顾了这一问题。我认为《基本法》与《基本法五》之间的关键区别归根结底是辩证性的，而不是实质性的。 1．弗雷格的大部分哲学和数学著作都致力于证明，只要给出适当的定义，所有算术定理都可以仅从逻辑定律来证明。在他的《算术原理》中，
s are in one-one correspondence –as an explanation of the notion of cardinal number and, therefore, as the most fundamentalprinciple of arithmetic. But similar problems arise with respect to the infamous Basic Law V.The present paper investigates Frege’s many discussions of the Caesar problem, to which hereturns at several points throughout his career. I suggest that the crucial difference between HPand Basic Law V is, in the end, dialectical, not substantive.1. OpeningMuch of Frege’s philosophical and mathematical work is devoted to an attemptto show that, given appropriate definitions, all theorems of arithmetic can beproven from logical laws alone. In his Grundgesetze der Arithmetik,