How To Become A Philosopher; How To Become A Logician; How To Become A Mathematician

How To Become A Philosopher; How To Become A Logician; How To Become A Mathematician PDF Author: Bertrand Russell
Publisher: Pickle Partners Publishing
ISBN: 178912493X
Category : Philosophy
Languages : en
Pages : 113

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Book Description
A brief yet informative book by one of the founders of analytic philosophy in which he introduces the reader to various analytic movements throughout the 20th century—Philosophy, Logicism, and Mathematics—and their application. A prolific writer on many subjects, and a great popularizer of philosophy, author Bertrand Russell is eminently placed to discuss these topics. An invaluable addition to any philosophy library!

How To Become A Philosopher; How To Become A Logician; How To Become A Mathematician

How To Become A Philosopher; How To Become A Logician; How To Become A Mathematician PDF Author: Bertrand Russell
Publisher: Pickle Partners Publishing
ISBN: 178912493X
Category : Philosophy
Languages : en
Pages : 113

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Book Description
A brief yet informative book by one of the founders of analytic philosophy in which he introduces the reader to various analytic movements throughout the 20th century—Philosophy, Logicism, and Mathematics—and their application. A prolific writer on many subjects, and a great popularizer of philosophy, author Bertrand Russell is eminently placed to discuss these topics. An invaluable addition to any philosophy library!

Introduction to Logic

Introduction to Logic PDF Author: Harry J Gensler
Publisher: Routledge
ISBN: 1136994521
Category : Philosophy
Languages : en
Pages : 510

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Book Description
Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.

Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy PDF Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224

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Book Description


Incompleteness

Incompleteness PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299

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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688

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Book Description


How to Become a Philosopher

How to Become a Philosopher PDF Author: Bertrand Russell
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 40

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Book Description


Categories for the Working Philosopher

Categories for the Working Philosopher PDF Author: Elaine M. Landry
Publisher: Oxford University Press
ISBN: 019874899X
Category : Mathematics
Languages : en
Pages : 486

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Book Description
This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.

Gödel's Theorem

Gödel's Theorem PDF Author: Torkel Franzén
Publisher: CRC Press
ISBN: 1439876924
Category : Mathematics
Languages : en
Pages : 182

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Book Description
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

Paul Lorenzen -- Mathematician and Logician

Paul Lorenzen -- Mathematician and Logician PDF Author: Gerhard Heinzmann
Publisher: Springer Nature
ISBN: 3030658244
Category : Mathematics
Languages : en
Pages : 268

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Book Description
This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen’s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen’s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen’s consistency proof and Hilbert’s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics. Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.

The Number Systems: Foundations of Algebra and Analysis

The Number Systems: Foundations of Algebra and Analysis PDF Author: Solomon Feferman
Publisher: American Mathematical Soc.
ISBN: 0821829157
Category : Number theory
Languages : en
Pages : 434

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Book Description
The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers, and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: ``The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles.''