Gottlob Frege - Böcker

Denna lilla bok kom ut 1884 och är en populärt hållen programskrift, i vilken Frege skisserar sin uppfattning om talens natur och sin idé om hur aritmetiken kan reduceras till logik. I strid med Kant hävdar Frege att de aritmetiska sanningarna kan visas vara analytiska, inte syntetiska. För att verkligen visa detta måste Frege analysera matematiska begrepp som rent logiska och bevisa matematiska teorem med ren logik. Det skulle dröja innan Frege i senare mera tekniska arbeten försökte genomföra detta s.k. logicistiska program. I Aritmetikens grundvalar beskriver Frege i vanligt språk själva idén om hur de naturliga talen (0, 1, 2, 3 ) kan definieras i helt logiska termer. Rivaliserande uppfattningar om matematikens natur blir livligt diskuterade. Aritmetikens grundvalar är Freges mästerverk: det är hans mest kraftfulla och mest idérika skrift, skriven när han var på höjdpunkten av sin förmåga. Michael Dummet "Aritmetikens grundvalar är underhållande läsning, inte minst genom Freges dräpande om inte alltid helt rättvisa kritik av andra filosofers idéer om talens natur." Dag Westerståhl

This volume contains English translations of Frege's early writings in logic and philosophy and of relevant reviews by other leading logicians. Professor Bynum has contributed a biographical essay, introduction, and extensive bibliography.

Part of the “Longman 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.

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.

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.

A philosophical discussion of the concept of numberIn the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.

A magnificent collection of work by the father of analytical philosophy Gottlob Frege is widely considered one of the most influential minds in the history of philosophy, having spent a lifetime delving into the nuances of language and mathematics. Widely published on logic, analysis, geometry, and arithmetic, which he regarded as the purest form of thought, Frege's analytic approach to philosophy set the stage for the field's eventual linguistic turn. Collected Paper on Mathematics, Logic, and Philosophy is a compilation of his collected works across fields, allowing readers to share in his evolution of thought and catch a glimpse of a legendary mind at work.

This volume contains all of Frege's extant unpublished writings on philosophy and logic other than his correspondence, written at various stages of his career.

The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

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.

Als diese fünf Aufsätze Gottlob Freges 1962 in der Kleinen Vandenhoeck-Reihe erstmals erschienen, war Gottlob Frege noch weithin unbekannt. Damals bedurfte es noch einer ausführlichen Begründung der Bedeutung Freges für die Gegenwartsphilosophie. Heute sind seine Schriften zu Klassikern geworden, die für kühne Thesen mit vorbildlicher Klarheit argumentieren. Der Band enthält die Texte Funktion und Begriff; Über Sinn und Bedeutung; Über Begriff und Gegenstand; Was ist eine Funktion? sowie Über die wissenschaftliche Berechtigung einer Begriffsschrift. Ein ausführliches Vorwort des Herausgebers und Frege-"Entdeckers" Günther Patzig und ein Register erleichtern dem Benutzer den Zugang.