The Infinite in Mathematics

Name: The Infinite in Mathematics
Author: Felix Kaufmann

1978

by Felix Kaufmann

Knowledge EconomicsMathematical EconomicsPositivismPhenomenologyEdmund HusserlLegal TheoryEpistemologyMethodologyImmanuel KantCarl Menger

Table of Contents · 37 segments

Front Matter, Series Information, Title Page, Catalog Data, and Copyrightessay

Table of Contentsessay

Introduction by Ernest Nagelessay

Editor’s Note by Brian McGuinnessessay

The Infinite in Mathematics and Its Elimination: Title and Prefaceessay

Analytic Table of Contentsessay

Introduction to The Infinite in Mathematics and Its Eliminationchapter

Introduction: Symbolism, the Actual Infinite, and Introductory Notesessay

Basic Facts of Cognitionchapter

Notes on Negation, Logical Constants, Identity, and Husserlfootnotes

Symbolism and Axiomaticschapter

Notes to Symbolism and Axiomaticsfootnotes

Natural Number and Setchapter

Notes to Natural Number and Setfootnotes

Negative Numbers, Fractions and Irrational Numberschapter

Notes to Negative Numbers, Fractions and Irrational Numbersfootnotes

Set Theorychapter

Notes to Set Theoryfootnotes

The Problem of Complete Decidability of Arithmetical Questionschapter

Notes to Complete Decidabilityfootnotes

The Antinomieschapter

Notes to The Antinomiesfootnotes

Remarks on the Controversy about the Foundations of Logic and Mathematicsessay

Natural Numbers, Peano Axioms, Set Ambiguity, and the Elimination of Non-Denumerabilitytheoretical

Notes to the Discussion of Natural Numbers, Sets, and the Infinitefootnotes

Questions of Logical Principle in the Investigation of the Foundations of Mathematics: Introductionessay

Introduction (Conclusion) and I. Logic and Languagetheoretical

II. Logical Sentences and Principles of Logic: Their Sensetheoretical

III. Logic and Mathematicstheoretical

Notes to the Introductionfootnotes

Notes to Section Ifootnotes

Notes to Section IIfootnotes

Notes to Section IIIfootnotes

Bibliography of the Published Writings of Felix Kaufmannbibliography

Bibliography of Works Cited in the Present Volumebibliography

Index of Namesbibliography

Vienna Circle Collectionbibliography