New Essays On Frege

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This volume collects nine essays that investigate the work of Gottlob Frege. The contributors address Frege’s work in relation to literature and fiction (Dichtung), the humanities (Geisteswissenschaften), and science (Wissenschaft). Overall, the essays consider internal connections between different aspects of Frege’s work while acknowledging the importance of its philosophical context. There are also further common strands between the papers, such as the relation between Frege’s and Wittgenstein’s approaches to philosophical investigations, the relation between Frege and Kant, and the place of Frege’s work in the philosophical landscape more generally. The volume is therefore of direct relevance to several current debates in philosophy in general, in addition to Frege and Wittgenstein research in particular. Even though Frege’s great significance for contemporary philosophy is not disputed, the question of how we are to understand the character and aims of his project is debated. The debate has a starting point in Frege’s specific conception of logic. The volume elucidates this conception as well as the relation between natural language and the Begriffsschrift. It will help philosophers, researchers, and students better understand the nuances of this great thinker. By extension, it will also help readers seeking to understand Wittgenstein’s approach to philosophical difficulties and his struggle to find an apt form of presentation for his philosophical investigations.

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Genre : Mathematics
Author : Gisela Bengtsson
Publisher : Springer
Release : 2018-01-12
File : 186 Pages
ISBN-13 : 9783319711867


Frege On Thinking And Its Epistemic Significance

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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.

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Genre : Philosophy
Author : Pieranna Garavaso
Publisher : Lexington Books
Release : 2014-11-12
File : 140 Pages
ISBN-13 : 9780739178393


Gottlob Frege Frege S Philosophy In Context

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This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.

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Genre : History
Author : Michael Beaney
Publisher : Taylor & Francis
Release : 2005
File : 458 Pages
ISBN-13 : 0415306027


The Rise Of Modern Logic From Leibniz To Frege

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With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

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Genre : Mathematics
Author : Dov M. Gabbay
Publisher : Elsevier
Release : 2004-03-08
File : 781 Pages
ISBN-13 : 9780080532875


Frege A Guide For The Perplexed

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Gottlob Frege (1848-1925) was one of the founders of analytical philosophy and the greatest innovator in logic since Aristotle. He introduced many influential philosophical ideas, such as the distinctions between function and argument, or between sense and reference. However, his thought is not readily accessible to the non- expert. His conception of logic, which was crucial to his grand project, the reduction of arithmetic to logic, is especially difficult to grasp. This book provides a lucid and critical introduction to Frege's logic, as he developed it in his groundbreaking first book Begriffsschrift (Conceptual Notation, 1879). It guides the reader directly to the core of Frege's philosophy, and to some of the most pertinent issues in contemporary philosophy of language, logic, mathematics, and mind. Unlike most other books, this commentary explains Frege's own logical notation, allowing students to study and appreciate those aspects of his work that he valued most but are least understood today.

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Genre : Philosophy
Author : Edward Kanterian
Publisher : A&C Black
Release : 2012-05-31
File : 116 Pages
ISBN-13 : 9781441102928


Frege S Detour

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John Perry offers a rethinking of Frege's seminal contributions to philosophy of language, which had a dominant influence on the subject in the twentieth century. He argues that Frege's famous doctrine of indirect reference led philosophers on a detour, and he advocates a move to a new framework for understanding reference.

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Genre : Philosophy
Author : John Perry
Publisher :
Release : 2019
File : 161 Pages
ISBN-13 : 9780198812821


The Cambridge Companion To Frege

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Gottlob Frege (1848–1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.

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Genre : Philosophy
Author : Tom Ricketts
Publisher : Cambridge University Press
Release : 2010-09-02
File : Pages
ISBN-13 : 9781139825788


Gottlob Frege Foundations Of Arithmetic

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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.

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Genre : Philosophy
Author : Gottlob Frege
Publisher : Taylor & Francis
Release : 2020-07-24
File : 145 Pages
ISBN-13 : 9781000111330


Frege Sense And Reference One Hundred Years Later

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Gottlob Frege's Über Sinn und Bedeutung (`On Sense and Reference'), has come to be seen, in the century since its publication in 1892, as one of the seminal texts of analytic philosophy. It, along with the rest of Frege's writings on logic and mathematics, came to mark out a whole new domain of inquiry. This volume bears witness to the continuing importance and influence of that agenda. It contains original papers written by leading Frege scholars for the conference held in 1992 in Karlovy Vary to celebrate the publication of Frege's essay. The fourteen essays show how the questions Frege discusses in that essay connect intimately with issues much debated in current philosophy of language and philosophy of mind.

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Genre : Philosophy
Author : John Biro
Publisher : Springer Science & Business Media
Release : 2012-12-06
File : 228 Pages
ISBN-13 : 9789401104111


Meaning In Linguistic Interaction

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This book offers a semantic and metasemantic inquiry into the representation of meaning in linguistic interaction. Kasia Jaszczolt's view represents the most radical stance on meaning to be found in the contextualist tradition and thereby the most radical take on the semantics/pragmatics boundary. It allows for the selection of the cognitively plausible object of enquiry without being constrained by such distinctions as what is said/what is implicated or what is linguistic and what is extralinguistic. She argues that this is the only promising stance on meaning. The analysis transcends the traditional distinctions drawn, and traditional questions posed, in post-Gricean pragmatics and philosophy of language. It heavily relies on the dynamic construction of meaning in discourse, using truth conditions as a tool but at the same time conforming to pragmatic compositionality ? whereby aspects of meaning that enter this composition have very different provenance. Meaning in Linguistic Interaction builds on the author's earlier work on Default Semantics and adds new arguments in favour of radical contextualism as well as novel applications, focusing on the role of salience, the flexibility of word meaning, the literal/nonliteral distinction, and the dynamic nature of a character, as well as offering an entirely new perspective on the indexical/nonindexical distinction. It contains a state-of-the-art discussion of the semantics/pragmatics boundary disputes, focusing on varieties of semantic minimalism and contextualism and on the limitations of an indexicalism. Jaszczolt's work is illustrated with examples from a variety of languages and offers some formal representations of meaning in the metalanguage of Default Semantics.

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Genre : Language Arts & Disciplines
Author : Kasia M. Jaszczolt
Publisher : Oxford University Press
Release : 2016-04-29
File : 228 Pages
ISBN-13 : 9780191068980