bacteria 发表于 2025-3-26 20:59:47
The Two Sides of Modern Axiomatics: Dedekind and Peano, Hilbert and Bourbakiructure of a theory, and 2. the conceptual-mathematical side, often linked to the establishment of new interconnections in mathematics, or ‘deeper’ ways of grounding some results. We explore this question, first by offering some classic examples in papers due to Hilbert and Bourbaki (and Hausdorff),语源学 发表于 2025-3-27 02:10:57
Notes for a Seminar in Axiomatic Reasoninguided by the passions and expertise of our students-my co-teachers (Amartya Sen and Eric Maskin) and I were able to shape our seminar course on .. I want to thank Giovanni Sommaruga for inviting me to include these notes in this volume, suggesting that I edit them slightly so that they offer a “manyJejune 发表于 2025-3-27 06:08:24
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s, physicists and computer scientists with an interest in fo.In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert‘s axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics,Suggestions 发表于 2025-3-28 00:45:30
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https://doi.org/10.1007/978-981-10-0719-4ctual intuition is no longer needed for providing the objects of mathematical theories and the requirement of truth is replaced by the requirement of ..This approach has immediate consequence of an ontological nature, i.e. regarding the . of mathematical entities (Is consistency a sufficient condition for existence in mathematics?).合法 发表于 2025-3-28 13:12:01
The Semantic Function of the Axiomatic Methodctual intuition is no longer needed for providing the objects of mathematical theories and the requirement of truth is replaced by the requirement of ..This approach has immediate consequence of an ontological nature, i.e. regarding the . of mathematical entities (Is consistency a sufficient condition for existence in mathematics?).