The Limits of Abstraction

Kit Fine

214 pages, parution le 12/12/2002

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Résumé

Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically, and will be essential reading for all who work on the philosophy of mathematics.

Readership: Scholars and advanced students of philosophy, especially philosophers of mathematics and logic.

Contents

Introduction

Philosophical Introduction

Truth
Definition
Reconceptualization
Foundations
The Identity of Abstracts

The Context Principle

What is the Context Principle?
Completeness
The Caesar Problem
Referential Determinacy
Predicativity
The Possible Predicative Content of Hume's Law

The Analysis of Acceptability

Language and Logic
Models
Preliminary Results
Tenability
Generation
Categoricity
Invariance
Hyperinflation
Internalized Proofs

The General Theory of Abstraction

The System
Semantics
Derivations
Further Work

L'auteur - Kit Fine

New York University

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Kit Fine
Parution	12/12/2002
Nb. de pages	214
Format	14,5 x 22,4
Couverture	Relié
Poids	360g
Intérieur	Noir et Blanc
EAN13	9780199246182
ISBN13	978-0-19-924618-2