Titlebook: Mathematical Knowledge, Objects and Applications; Essays in Memory of Carl Posy,Yemima Ben-Menahem Book 2023 The Editor(s) (if applicable)

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Calculus

Logic Discovered and Logic Imposed (A Purim Story)versa). The details of the cases showcase how “turning our whole investigation around” has proven its practical utility in the growth and development of logic in the last century. Further, it suggests that Wittgenstein might have intended something at once humbler and, for logic, more important than

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Platonism and the Proto-ontology of Mathematics: Learning from the Axiom of Choiceno less unified and no less finitary that Hilbert’s. This intuitionistic standpoint is sufficiently detailed that it itself provides a benchmark for comparing all the rival positions; and it is sufficiently robust that it dissolves the Benacerrafian dichotomy. However, the intuitionistic refutation

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Ordinals vs. Cardinals in ? and Beyondl-behaved interaction in the finite domain. This regular connection in the finite domain between ordinality and cardinality, however, is grasped automatically by the cognitive system as a statistical pattern rather than being stated explicitly, mathematically. Philosophically, this case study thus s

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