Frege, Dedekind, and Peano on the Foundations of Arithmetic
作者： Donald Gillies
DOI:
关键词: Principle of compositionality 、 Philosophy 、 Peano axioms 、 Set-theoretic definition of natural numbers 、 Impredicativity 、 Logicism 、 Dedekind cut 、 Axiom 、 Arithmetic 、 Set theory
摘要: 1. Kant's Theory of Mathematics 2. Frege's Criticisms Kant 3. Mill's 4. Mill 5. The Concept a Statement Number is an Assertion About 6. Platonism 7. Logicism 8. Dedekind and Set 9. Dedekind's Development Arithmetic 10. Peano's Axioms. General Comparison Frege, Peano 11. Begriffsschrift 12. Grundgesetze, Russell's Paradox
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