Frege's Notations

What They Are and How They Mean

By: G. Landini, Michael Beaney (Editor)

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Hardcover | 10 February 2012 | Edition Number 1

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A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories. On this new approach, we can at last read Frege's notations in their original form revealing striking new solutions to many of the outstanding problems of interpreting his philosophy.

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Non-Fiction Philosophy Philosophy & Logic Mathematics Mathematical Foundation Mathematical Logic History of Western Philosophy Western Philosophy

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Published: 1st January 2012

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Series Editor's Foreword	p. ix
Preface	p. xii
Author's Note on the Use of Modern Logical Notations	p. xiv
Introduction	p. 1
Frege's Basic Logics (without Wertverläufe)	p. 15
Quantification theory versus ^CPLogic	p. 15
Sentences are not names	p. 29
Judgeable contents	p. 41
Basic Law IV	p. 45
Begriffsschrift and Grundlagen	p. 49
Grundgesetze	p. 52
Derivations of some theorems in the basic logic of the Grundgesetze	p. 57
The Ancestral	p. 62
The ancestral for objects	p. 63
Proof of induction within ^CPLogic	p. 65
Cardinality as a second-level concept	p. 72
The problem of infinity	p. 81
Wertverläiufe	p. 84
Numbers as objects	p. 86
Grundlagen and Hume's principle	p. 98
Missing IV in the Grundlagen	p. 107
I believe that for 'extension of the concept' we could write simply 'concept'	p. 114
Analysis and Recomposition	p. 119
Free variables and the turnstile	p. 120
Parts of senses and the informativity of logic	p. 130
Oratio Obliqua	p. 144
Russell's paradox of Sinn	p. 150
Engaging Problems	p. 157
Urelements	p. 157
The Ins and Outs of Frege's Way Out	p. 158
The argument for referentiality	p. 168
Whence the Contradiction?	p. 174
Frege's Academy	p. 182
Notes	p. 184
Bibliography	p. 187
Index	p. 191
Table of Contents provided by Ingram. All Rights Reserved.

Frege's Notations

What They Are and How They Mean

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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