Download or read book Frege Synthesized written by L. Haaparanta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: cake, even though it is typically given the pride of place in expositions in Frege's semantics. As a part of this attempted reversal of emphasis, Jaakko Hintikka has also called attention to the role Frege played in convincing almost everyone that verbs for being had to be treated as multiply ambiguous between the "is" of identity, the "is" of predication, the "is" of existence, and the "is" of class-inclusion - a view that had been embraced by few major figures (if any) before Frege, with the exception of John Stuart Mill and Augustus De Morgan. Hintikka has gone on to challenge this ambiguity thesis. At the same time, Frege's role in the genesis of another major twentieth-century philosophical movement, the phenomenological one, has become an important issue. Even the translation of Frege's key term "Bedeutung" as "reference" has become controversial. The interpretation of Frege is thus thrown largely back in the melting pot. In editing this volume, we have not tried to publish the last word on Frege. Even though we may harbor such ambitions ourselves, they are not what has led to the present editorial enterprise. What we have tried to do is to bring together some of the best ongoing work on Frege. Even though the ultimate judgment on our success lies with out readers, we want to register our satisfaction with all the contributions.

Download or read book The Foundations of Frege s Logic written by Pavel Tichy and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Frege on Language Logic and Psychology written by Eva Picardi and published by Oxford University Press. This book was released on 2022-06-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eva Picardi (1948-2017) was one of the most influential Italian analytic philosophers of her generation. She taught for forty years at the University of Bologna, raising three generations of students. This volume presents a selection of Picardi's essays on Frege's philosophy of logic, language, and psychology. Together, these papers provide a close look at the milieu within which Frege operated, and serve to highlight the relevance of his work for contemporary debates, particularly in the philosophy of language. One strand in Picardi's work on Frege concerns understanding and contextualizing Frege's anti-psychologism. Picardi contends that Frege was motivated by semantic considerations, much more so than by adherence to Kantian transcendentalism. Furthermore, Picardi draws on her deep knowledge of German, and the fact that she was a native speaker of Italian, to reconstruct the intricacies of Frege's relationship with other logicians of his time-both in Germany, like Kerry and Sigwart, and in Italy, like Peano and his school. Picardi's work shows how the historical and the theoretical (typically treated as separate in contemporary analytic philosophy, even in competition), complement and enrich one another.

Download or read book Frege s Theory of Sense and Reference written by Wolfgang Carl and published by Cambridge University Press. This book was released on 1994-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a completely new and systematic account of Frege's philosophy by focusing on its cornerstone: the theory of sense and reference.

Download or read book From Frege to G del written by Jean van Heijenoort and published by Harvard University Press. This book was released on 2002-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege’s Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege’s book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim’s theorem, and he and Fraenkel amend Zermelo’s axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter’s famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.

Download or read book Frege an Introduction to His Philosophy written by Gregory Currie and published by Barnes & Noble. This book was released on 1982 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studie over het werk van de Duitse wijsgeer Friedrich Ludwig Gottlob Frege (1848-1925).

Download or read book Importance and Legacy written by Matthias Schirn and published by Walter de Gruyter. This book was released on 2010-12-16 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Sense and Reference written by Gottlob Frege and published by DigiCat. This book was released on 2023-11-19 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the philosophy of language, the difference between sense and reference was a concept of the German philosopher and mathematician Gottlob Frege in 1892. This idea, presented in this work, reflects the two ways he thought a singular term might have meaning.

Download or read book The Rise of Modern Logic from Leibniz to Frege written by Dov M. Gabbay and published by Elsevier. This book was released on 2004-03-08 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Frege on Thinking and Its Epistemic Significance written by Pieranna Garavaso and published by Lexington Books. This book was released on 2014-11-12 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Propositions written by Massimiliano Carrara and published by Rodopi. This book was released on 2006 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special issue of GPS collects 11 papers (and a long introduction), by leading philosophers and young researchers, which tackle more or less from close the topic of propositions by trying to provide the reader with a cross-section of the ongoing debate in this area. The raised issues range over the semantics, the ontology, the epistemology, and the philosophy of mathematics and stimulate the reader to reflect on crucial problems such as the following: are propositions objects? In the positive case, what kind of objects are they? Can they be grasped by cognitive creatures such as we are? When can we say that two people entertain the same proposition? Have propositions any role to play in speech act theory? Even though the notion of proposition has received considerable attention in the past philosophical debate, it is still of great interest, in particular in connection with the attacks which have recently been launched against it in the theory of language. The volume, which is equipped with a long and detailed introduction that supplies the young reader with useful background information on the different stances in the debate, could prove useful also for didactic purposes.

Download or read book Guide to Deep Learning Basics written by Sandro Skansi and published by Springer Nature. This book was released on 2020-01-23 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This stimulating text/reference presents a philosophical exploration of the conceptual foundations of deep learning, presenting enlightening perspectives that encompass such diverse disciplines as computer science, mathematics, logic, psychology, and cognitive science. The text also highlights select topics from the fascinating history of this exciting field, including the pioneering work of Rudolf Carnap, Warren McCulloch, Walter Pitts, Bulcsú László, and Geoffrey Hinton. Topics and features: Provides a brief history of mathematical logic, and discusses the critical role of philosophy, psychology, and neuroscience in the history of AI Presents a philosophical case for the use of fuzzy logic approaches in AI Investigates the similarities and differences between the Word2vec word embedding algorithm, and the ideas of Wittgenstein and Firth on linguistics Examines how developments in machine learning provide insights into the philosophical challenge of justifying inductive inferences Debates, with reference to philosophical anthropology, whether an advanced general artificial intelligence might be considered as a living being Investigates the issue of computational complexity through deep-learning strategies for understanding AI-complete problems and developing strong AI Explores philosophical questions at the intersection of AI and transhumanism This inspirational volume will rekindle a passion for deep learning in those already experienced in coding and studying this discipline, and provide a philosophical big-picture perspective for those new to the field.

Download or read book Language and Scientific Research written by Wenceslao J. Gonzalez and published by Springer Nature. This book was released on 2021-04-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the role of language in scientific research and develops the semantics of science from different angles. The philosophical investigation of the volume is divided into four parts, which covers both basic science and applied science: I) The Problem of Reference and Potentialities of the Language in Science; II) Language and Change in Scientific Research: Evolution and Historicity; III) Scientific Language in the Context of Truth and Fiction; and IV) Language in Mathematics and in Empirical Sciences. Language plays a key role in science: our access to the theoretical, practical or evaluative dimensions of scientific activity begins with the mastery of language, continues with a deepening in the use of language and reaches the level of contribution when it creates new terms or changes them in sense and reference. This reveals the compatibility between objectivity in semantic contents and historicity in the progress of science. This volume is a valuable enrichment to students, academics and other professionals interested in science in all its forms, who seek to deepen the role that language plays in its structure and dynamics.

Download or read book The Sense of Reference written by Gilead Bar-Elli and published by Walter de Gruyter. This book was released on 2013-02-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Foundations of Frege s Logic written by Pavel Tichý and published by De Gruyter. This book was released on 1988-01-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Chapters from G del s Unfinished Book on Foundational Research in Mathematics written by Jan von Plato and published by Springer Nature. This book was released on 2022-05-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.

Download or read book The Selected Writings of Eva Picardi written by Eva Picardi and published by Bloomsbury Publishing. This book was released on 2020-07-09 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eva Picardi has been one of the most influential Italian analytic philosophers of her generation. She taught for forty years at the University of Bologna, raising three generations of students. This collection of selected writings honors her work, confirming Picardi's status as one of the most important Frege scholars of her generation and a leading authority on the philosophy of Donald Davidson. Bringing together Picardi's contributions to the history of analytic philosophy, it includes her papers on major 20th-century figures such as Wittgenstein, Quine, Davidson, Rorty, and Brandom. She examines their work in comparison with the philosopher Michael Dummett's, illuminating contrasts between American Neo-pragmatism and Continental philosophy. By considering key contributions made by Gadamer and Adorno and contrasting them with Davidson and Rorty's proposals, Picardi is able to bridge the Analytic and Continental divide. Featuring an introduction by Annalisa Coliva and new translations of previously unpublished papers, this collection emphasizes the significance of Picardi's work for a new generation of readers.