Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium

Book

Philosophy of Logic and Mathematics

Proceedings of the 41st International Ludwig Wittgenstein Symposium

Edited by: Gabriele M. Mras , Paul Weingartner and Bernhard Ritter

Languages: English, German

Published/Copyright: 2020

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This book is in the series

Volume 27 | Publications of the Austrian Ludwig Wittgenstein Society – New Series

About this book

This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism.

The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

Author / Editor information

Gabriele Mras, WU Vienna, Austria; Bernhard Ritter, AAU Klagenfurt, Austria; Paul Weingartner, University Salzburg, Austria.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Preface Gabriele M. Mras, Paul Weingartner and Bernhard Ritter Publicly Available Download PDF	IX
Part I: Philosophy of Logic
Link’s Revenge: A Case Study in Natural Language Mereology Eric Snyder and Stewart Shapiro Requires Authentication Unlicensed Licensed	3
Universal Translatability: An Optimality- Based Justification of (Classical) Logic Gerhard Schurz Requires Authentication Unlicensed Licensed	37
Invariance and Necessity Gila Sher Requires Authentication Unlicensed Licensed	55
Translations Between Logics: A Survey Itala M. Loffredo D’Ottaviano and Hércules de Araújo Feitosa Requires Authentication Unlicensed Licensed	71
On the Relation of Logic to Metalogic Jan Woleński Requires Authentication Unlicensed Licensed	91
Free Logic and the Quantified Argument Calculus Edi Pavlović and Norbert Gratzl Requires Authentication Unlicensed Licensed	105
Dependencies Between Quantifiers Vs. Dependencies Between Variables Gabriel Sandu Requires Authentication Unlicensed Licensed	117
Three Types and Traditions of Logic: Syllogistic, Calculus and Predicate Logic Wolfgang Kienzler Requires Authentication Unlicensed Licensed	133
Truth, Paradox, and the Procedural Conception of Fregean Sense Günther Eder Requires Authentication Unlicensed Licensed	153
Wittgenstein and Frege on Assertion Christoph C. Pfisterer Requires Authentication Unlicensed Licensed	169
Assertions and Their Justification: Demonstration and Self-Evidence Maria van der Schaar Requires Authentication Unlicensed Licensed	183
Surprises in Logic: When Dynamic Formality Meets Interactive Compositionality Elena Dragalina-Chernaya Requires Authentication Unlicensed Licensed	197
Part II: Philosophy of Mathematics
Neologicist Foundations: Inconsistent Abstraction Principles and Part-Whole Paolo Mancosu and Benjamin Siskind Requires Authentication Unlicensed Licensed	215
What Hilbert and Bernays Meant by “Finitism” William Tait Requires Authentication Unlicensed Licensed	249
Wittgenstein and Turing Juliet Floyd Requires Authentication Unlicensed Licensed	263
Remarks on Two Papers of Paul Bernays Charles Parsons Requires Authentication Unlicensed Licensed	297
The Significance of the Curry-Howard Isomorphism Richard Zach Requires Authentication Unlicensed Licensed	313
Reductions of Mathematics: Foundation or Horizon? Felix Mühlhölzer Requires Authentication Unlicensed Licensed	327
What Are the Axioms for Numbers and Who Invented Them? Jan von Plato Requires Authentication Unlicensed Licensed	343
Part III: Wittgenstein
Following a Rule: Waismann’s Variation Mathieu Marion and Mitsuhiro Okada Requires Authentication Unlicensed Licensed	359
Propositions in Wittgenstein and Ramsey Michael Potter Requires Authentication Unlicensed Licensed	375
An Unexpected Feature of Classical Propositional Logic in the Tractatus Jean-Yves Béziau Requires Authentication Unlicensed Licensed	385
Ontology in Tractatus Logico-Philosophicus: A Topological Approach Janusz Kaczmarek Requires Authentication Unlicensed Licensed	397
Adding 4.0241 to TLP Franz Berto Requires Authentication Unlicensed Licensed	415
Understanding Wittgenstein’s Wood Sellers Štefan Riegelnik Requires Authentication Unlicensed Licensed	429
On the Infinite, In-Potentia: Discovery of the Hidden Revision of Philosophical Investigations and Its Relation to TS 209 Through the Eyes of Wittgensteinian Mathematics Susan Edwards-McKie Requires Authentication Unlicensed Licensed	441
Incomplete Pictures and Specific Forms: Wittgenstein Around 1930 Richard Heinrich Requires Authentication Unlicensed Licensed	457
„Man kann die Menschen nicht zum Guten führen“ – Zur Logik des moralischen Urteils bei Wittgenstein und Hegel Oliver Feldmann Requires Authentication Unlicensed Licensed	473
Der Status mathematischer und religiöser Sätze bei Wittgenstein Esther Ramharter Requires Authentication Unlicensed Licensed	485
Gutes Sehen Richard Raatzsch Requires Authentication Unlicensed Licensed	499
Wittgenstein’s Conjecture Timm Lampert Requires Authentication Unlicensed Licensed	515
Index of Names Requires Authentication Unlicensed Licensed	535
Index of Subjects Requires Authentication Unlicensed Licensed	539

Publishing information

Pages and Images/Illustrations in book

eBook published on:

November 18, 2019

eBook ISBN:

9783110657883

Hardcover published on:

November 18, 2019

Hardcover ISBN:

9783110654301

Paperback published on:

September 20, 2021

Paperback ISBN:

9783110763478

Pages and Images/Illustrations in book

Front matter:

12

Main content:

547

https://doi.org/10.1515/9783110657883

eBook ISBN: 9783110657883

Hardcover ISBN: 9783110654301

Paperback ISBN: 9783110763478

Keywords for this book

Ludwig Wittgenstein; Philosophy of logic and mathematics; alternative logics; structural complexity of propositions

Audience(s) for this book

Scholars, institutes, libraries

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Genthiner Straße 13
10785 Berlin
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Philosophy of Logic and Mathematics

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data