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The Arché Papers on the Mathematics of Abstraction
This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Gottlob Frege's original logicist project was, in effect, refuted by...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | The Arché Papers on the Mathematics of Abstraction / edited by Roy T. Cook. |
| Publié : |
Dordrecht :
Springer Netherlands
, 2007 Springer e-books |
| Collection : | The Western Ontario series in philosophy of science (Online) |
| Titre de l'ensemble : | The Western Ontario Series in Philosophy of Science vol. 71 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Contenu : | The Philosophy and Mathematics of Hume s Principle. Is Hume s Principle Analytic?. Is Hume s Principle Analytic?. Frege, Neo-Logicism and Applied Mathematics. Finitude and Hume s Principle. On Finite Hume. Could Nothing Matter?. On the Philosophical Interest of Frege Arithmetic. The Logic of Abstraction. Neo-Logicist Logic is not Epistemically Innocent. Aristotelian Logic, Axioms, and Abstraction. Frege s Unofficial Arithmetic. Abstraction and the Continuum. Reals by Abstraction. The State of the Economy: Neo-Logicism and Inflation. Frege Meets Dedekind: A Neo-Logicist Treatment of Real Analysis. Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege s Constraint. Basic Law V and Set Theory. New V, ZF, and Abstraction. Well- and Non-Well-Founded Fregean Extensions. Abstraction & Set Theory. Prolegomenon to Any Future Neo-Logicist Set Theory: Abstraction and Indefinite Extensibility. Neo-Fregeanism: An Embarrassment of Riches. Iteration one More Time |
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| Documents associés : | Autre format:
The Arché papers on the mathematics of abstraction |