Gottlob Frege Basic Laws Of Arithmetic
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Gottlob Frege Basic Laws Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher:
Release Date : 2013-10
Gottlob Frege Basic Laws Of Arithmetic written by Gottlob Frege and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10 with Mathematics categories.
This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
The Basic Laws Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher: Univ of California Press
Release Date : 1967
The Basic Laws Of Arithmetic written by Gottlob Frege and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Logic, Symbolic and mathematical categories.
Essays On Frege S Basic Laws Of Arithmetic
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Author : Philip A. Ebert
language : en
Publisher: Oxford University Press
Release Date : 2019-09-11
Essays On Frege S Basic Laws Of Arithmetic written by Philip A. Ebert and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-11 with Philosophy categories.
The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.
The Basic Laws Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher: Univ of California Press
Release Date : 2023-11-15
The Basic Laws Of Arithmetic written by Gottlob Frege and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Mathematics categories.
Basic Laws of Arithmetic: Exposition of the System by Gottlob Frege is a seminal work that aims to establish arithmetic and mathematical analysis as logical systems derived from pure logic. Published in 1893, it represents a cornerstone in the history of mathematical and philosophical thought. Frege’s primary objective was to substantiate logicism, the view that truths of arithmetic are not irreducibly mathematical, synthetic a priori, or empirical, but are instead expressions of logical truths. The book lays out three core tasks: defining logical propositions and rules of inference, and deriving arithmetic's fundamental truths from these logical principles. While Frege’s meticulous approach to these tasks helped establish mathematical logic as a discipline, his work ultimately failed to achieve its purpose, as the set theory underpinning his system proved inconsistent, a flaw brought to his attention by Bertrand Russell. Despite its failure as Frege envisioned it, the work remains profoundly influential. Frege’s exploration of logical truth and inference pioneered formal logic, including propositional calculus, quantification theory, and set theory. His philosophy of language, embedded within the system’s semantics, offers a deep and nuanced understanding of meaning that continues to resonate within analytical philosophy. Moreover, Frege’s precise and rigorous standards of reasoning surpass many subsequent works, including the more widely adopted Principia Mathematica. Although his logicism is untenable in its original form, Frege’s ideas remain a vital resource for understanding the intersection of logic, mathematics, and language, making his Grundgesetze a crucial study for philosophers, logicians, and historians. This translation of key sections emphasizes its ongoing relevance to modern philosophical inquiries into meaning and language. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.
Frege
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Author : Michael Dummett
language : en
Publisher: Harvard University Press
Release Date : 1991
Frege written by Michael Dummett and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incorrectly argued or as untenable in the light of technical developments. Gottlob Frege (1848-1925) was a logician, mathematician, and philosopher whose work had enormous impact on Bertrand Russell and later on the young Ludwig Wittgenstein, making Frege one of the central influences on twentieth-century Anglo-American philosophy; he is considered the founder of analytic philosophy. His philosophy of mathematics contains deep insights and remains a useful and necessary point of departure for anyone seriously studying or working in the field.
Essays On Frege S Basic Laws Of Arithmetic
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Author : Philip A. Ebert
language : en
Publisher:
Release Date : 2019
Essays On Frege S Basic Laws Of Arithmetic written by Philip A. Ebert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.
This is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Laws of Arithmetic, and demonstrate the technical and philosophical richness of this great work.
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.
A Companion To Analytic Philosophy
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Author : A. P. Martinich
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15
A Companion To Analytic Philosophy written by A. P. Martinich and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Philosophy categories.
A Companion to Analytic Philosophy is a comprehensive guide to many significant analytic philosophers and concepts of the last hundred years. Provides a comprehensive guide to many of the most significant analytic philosophers of the last one hundred years. Offers clear and extensive analysis of profound concepts such as truth, goodness, knowledge, and beauty. Written by some of the most distinguished philosophers alive, some of whom have entries in the book devoted to them.
Gottlob Frege Basic Laws Of Arithmetic
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Author :
language : en
Publisher: OUP Oxford
Release Date : 2013-10
Gottlob Frege Basic Laws Of Arithmetic written by and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10 with Mathematics categories.
This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
Frege Explained
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Author : Joan Weiner
language : en
Publisher: Open Court
Release Date : 2011-04-15
Frege Explained written by Joan Weiner and has been published by Open Court this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-15 with Philosophy categories.
What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925). Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing how his thinking evolved through successive books and articles.