Frege Dedekind And Peano On The Foundations Of Arithmetic

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Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals

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Author : Donald Gillies
language : en
Publisher: Routledge
Release Date : 2013-01-11

Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals written by Donald Gillies and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Mathematics categories.

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals

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Author : Donald Gillies
language : en
Publisher: Routledge
Release Date : 2013-01-11

Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals written by Donald Gillies and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Mathematics categories.

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

Frege Dedekind And Peano On The Foundations Of Arithmetic

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Author : Donald Gillies
language : en
Publisher:
Release Date : 2011

Frege Dedekind And Peano On The Foundations Of Arithmetic written by Donald Gillies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

Frege Dedekind And Peano On The Foundations Of Arithmetic

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Author : D.A. Gillies
language : es
Publisher:
Release Date : 1982

Frege Dedekind And Peano On The Foundations Of Arithmetic written by D.A. Gillies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Gottlob Frege Foundations Of Arithmetic

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Author : Gottlob Frege
language : en
Publisher: Taylor & Francis
Release Date : 2020-07-24

Gottlob Frege Foundations Of Arithmetic written by Gottlob Frege and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Philosophy categories.

Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.

Frege On Thinking And Its Epistemic Significance

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Author : Pieranna Garavaso
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2014-11-12

Frege On Thinking And Its Epistemic Significance written by Pieranna Garavaso and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Philosophy categories.

Pieranna Garavaso and Nicla Vassallo investigate Gottlob Frege's notion of thinking (das Denken) to provide a new analysis of a largely unexplored area of the philosopher's work. Confronting Frege's deeply seated and widely emphasized anti-psychologism, Frege on Thinking and Its Epistemic Significance claims that the objective human science that Frege proposed can only be possible through a nuanced notion of thinking as neither merely psychological nor merely logical. Focusing on what Frege says about thinking in many passages from his works, Garavaso and Vassallo argue that Frege was engaged with issues that are still alive in contemporary debates, such as the definition of knowledge and the necessary role of language in conceptual thinking and in the expression of thoughts. Frege on Thinking and Its Epistemic Significance is essential not only for those interested in a new and original reading of Frege’s philosophy, but also for anyone engaged in epistemology, logic, psychology, philosophy of language, and the history of analytic philosophy.

Philosophical Approaches To The Foundations Of Logic And Mathematics

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Author : Marcin Trepczyński
language : en
Publisher: BRILL
Release Date : 2021-01-25

Philosophical Approaches To The Foundations Of Logic And Mathematics written by Marcin Trepczyński and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-25 with Philosophy categories.

Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.

Proofs Of The Cantor Bernstein Theorem

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Author : Arie Hinkis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-26

Proofs Of The Cantor Bernstein Theorem written by Arie Hinkis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.

This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schröder, Bernstein, Borel, Zermelo, Poincaré, Russell, Peano, the Königs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos’ celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly anything but superficial, as the present book also offers new theoretical insights into the methodology of the development of mathematics (proof-processing), with implications for the historiography of mathematics.

A Critical Introduction To The Philosophy Of Gottlob Frege

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Author : Guillermo E. Rosado Haddock
language : en
Publisher: Routledge
Release Date : 2016-03-09

A Critical Introduction To The Philosophy Of Gottlob Frege written by Guillermo E. Rosado Haddock and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-09 with Philosophy categories.

Gottlob Frege is one of the greatest logicians ever and also a philosopher of great significance. In this book Rosado Haddock offers a critical presentation of the main topics of Frege's philosophy, including, among others, his philosophy of arithmetic, his sense-referent distinction, his distinction between function and object, and his criticisms of formalism and psychologism. More than just an introduction to Frege's philosophy this book is also a highly critical and mature assessment of it as a whole in which the limitations, confusions and other weaknesses of Frege's thought are closely examined. The author is also a Husserlian scholar and this book contains valuable discussions of Husserl's neglected views and comparisons between the two great philosophers.

Principia Mathematica

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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927

Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.