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https://doi.org/10.1007/978-3-642-47386-9instruction of the list is applicable, producing a result to which exactly one instruction is applicable, until after a finite (but not necessarily bounded) number of steps, the process stops and a decision is announced.HPA533 发表于 2025-3-22 03:13:03
0072-5285 on on which all mathematics is to be based--rather, any conclusions to be drawn about the foundations of mathematics come only by analogy with the model, and are to be regarded in much the same978-1-4757-4491-0978-1-4757-4489-7Series ISSN 0072-5285 Series E-ISSN 2197-5612量被毁坏 发表于 2025-3-22 05:08:34
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Propositional Calculus,odel of the system to be studied, and then conduct what is essentially a pure mathematical investigation of the properties of our model. Since this book is intended for mathematicians, the system we propose to study is not general logic but the logic used in mathematics. By this restriction, we achidowagers-hump 发表于 2025-3-22 20:44:15
Predicate Calculus,en collection of “primitive” statements is enlarged by combining statements. The Propositional Calculus does not analyse the original primitive statements. Our aim now is to construct a more complicated model of mathematical reasoning, which incorporates more of the ordinary features of this reasoni绝缘 发表于 2025-3-22 22:01:53
First-Order Mathematics,onstructed within the first-order predicate calculus will be called a first-order theory. By comparing a first-order theory with the informal theory on which it is modelled, we may gain insight into the influence of our logical system on our mathematics.一窝小鸟 发表于 2025-3-23 04:45:19
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