reason s nearest kin philosophies of arithmetic from kant to carnap

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Reason S Nearest Kin

Author : Michael Potter
ISBN : 9780198250418
Genre : Mathematics
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How do we account for the truth of arithmetic? And if it does not depend for its truth on the way the world is, what constrains the world to conform to arithmetic? Reason's Nearest Kin is a critical examination of the astonishing progress made towards answering these questions from the late nineteenth to the mid-twentieth century. In the space of fifty years Frege, Dedekind, Russell, Wittgenstein, Ramsey, Hilbert, and Carnap developed accounts of the content of arithmeticthat were brilliantly original both technically and philosophically. Michael Potter's innovative study presents them all as finding that content in various aspects of the complex linkage between experience, language, thought, and the world. Potter's reading places them all in Kant's shadow since it was hisattempt to ground arithmetic in the spatio-temporal structure of reality that they were reacting against; but it places us in Gödel's shadow since his incompleteness theorems supply us with a measure of the richness of the content they were trying to explain. This stimulating reassessment of some of the classic texts in the philosophy of mathematics reveals many unexpected connections and illuminating comparisons, and offers a wealth of ideas for future work in the subject.

The Oxford Handbook Of Philosophy Of Mathematics And Logic

Author : Stewart Shapiro
ISBN : 9780198033998
Genre : Mathematics
File Size : 68. 80 MB
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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

Origins Of Analytic Philosophy

Author : Delbert Reed
ISBN : 9781441138224
Genre : Philosophy
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Formen Der Anschauung

Author : Pirmin Stekeler-Weithofer
ISBN : UCSC:32106019653770
Genre : Philosophy
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What are pure geometric forms? In what sense are there an infinite number of points on a line? What is the relationship between empirically correct statements about real bodily figures (or movements)and the ideal truths of a pure mathematical geometry (also in space-time)? Starting from Kant and Wittgenstein, the book demonstrates how our dealings with figures and symbols is to be understood beyond the technical mastery of forms of calculation and proof.

Kant Studien

Author : Hans Vaihinger
ISBN : UOM:39015081713946
Genre : Philosophy
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1904-26 (includes lists of members)

Mathematical Reviews

Author :
ISBN : UOM:39015056616694
Genre : Mathematics
File Size : 83. 8 MB
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Philosophy Of Mathematics

Author : David Bostock
ISBN : 1405189916
Genre : Mathematics
File Size : 35. 61 MB
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Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author’s personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals

Subject Guide To Books In Print

Author :
ISBN : STANFORD:36105025888533
Genre : American literature
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Organon F

Author :
ISBN : UOM:39015066101349
Genre : Philosophy
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La Filosofia Della Matematica Del Novecento

Author : Carlo Cellucci
ISBN : STANFORD:36105121429299
Genre : Mathematics
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