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Author: Gottlob Frege
Publisher: John Wiley & Sons
ISBN: 0631126945
Category : Mathematics
Languages : en
Pages : 146
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Book Description
A philosophical discussion of the concept of number In 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.
Author: Gottlob Frege
Publisher: John Wiley & Sons
ISBN: 0631126945
Category : Mathematics
Languages : en
Pages : 146
Get Book Here
Book Description
A philosophical discussion of the concept of number In 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.
Author: Gottlob Frege
Publisher: Univ of California Press
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 208
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Book Description
Author: Michael Dummett
Publisher: Harvard University Press
ISBN: 9780674319356
Category : Mathematics
Languages : en
Pages : 364
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Book Description
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.
Author:
Publisher: Elsevier
ISBN: 008052687X
Category : Computers
Languages : en
Pages : 525
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Book Description
Agenda Relevance is the first volume in the authors' omnibus investigation ofthe logic of practical reasoning, under the collective title, A Practical Logicof Cognitive Systems. In this highly original approach, practical reasoning isidentified as reasoning performed with comparatively few cognitive assets,including resources such as information, time and computational capacity. Unlikewhat is proposed in optimization models of human cognition, a practical reasonerlacks perfect information, boundless time and unconstrained access tocomputational complexity. The practical reasoner is therefore obliged to be acognitive economizer and to achieve his cognitive ends with considerableefficiency. Accordingly, the practical reasoner avails himself of variousscarce-resource compensation strategies. He also possesses neurocognitivetraits that abet him in his reasoning tasks. Prominent among these is thepractical agent's striking (though not perfect) adeptness at evading irrelevantinformation and staying on task. On the approach taken here, irrelevancies areimpediments to the attainment of cognitive ends. Thus, in its most basic sense,relevant information is cognitively helpful information. Information can then besaid to be relevant for a practical reasoner to the extent that it advances orcloses some cognitive agenda of his. The book explores this idea with aconceptual detail and nuance not seen the standard semantic, probabilistic andpragmatic approaches to relevance; but wherever possible, the authors seek tointegrate alternative conceptions rather than reject them outright. A furtherattraction of the agenda-relevance approach is the extent to which its principalconceptual findings lend themselves to technically sophisticated re-expressionin formal models that marshal the resources of time and action logics andlabel led deductive systems. Agenda Relevance is necessary reading for researchers in logic, beliefdynamics, computer science, AI, psychology and neuroscience, linguistics,argumentation theory, and legal reasoning and forensic science, and will repaystudy by graduate students and senior undergraduates in these same fields.Key features:• relevance • action and agendas • practical reasoning • belief dynamics • non-classical logics • labelled deductive systems
Author: Michael Beaney
Publisher: Wiley-Blackwell
ISBN: 9780631194453
Category : Philosophy
Languages : en
Pages : 432
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Book Description
This is the first single-volume edition and translation of Frege's philosophical writings to include all of his seminal papers and substantial selections from all three of his major works.
Author: Tom Ricketts
Publisher: Cambridge University Press
ISBN: 113982578X
Category : Philosophy
Languages : en
Pages :
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Book Description
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.
Author: Mark Textor
Publisher: Routledge
ISBN: 1136930558
Category : Philosophy
Languages : en
Pages : 304
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Book Description
Gottlob Frege is considered the father of modern logic and one of the founding figures of analytic philosophy. His writings are difficult and deal with technical, asbtract concepts. The Routledge Philosophy Guidebook to Frege On Sense and Reference helps the student to get to grips with Frege's thought.
Author: John P. Burgess
Publisher: Princeton University Press
ISBN: 9780691122311
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Gottlob Frege's attempt to found mathematics on a grand logical system came to grief when Bertrand Russell discovered a contradiction in it. This book surveys consistent restrictions in both the old and new versions of Frege's system, determining just how much of mathematics can be reconstructed in each.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
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Book Description
Author: Joan Weiner
Publisher: Cornell University Press
ISBN: 1501714953
Category : Philosophy
Languages : en
Pages : 336
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Book Description
Not only can the influence of Gottlob Frege (1848-1925) be found in contemporary work in logic, the philosophy of mathematics, and the philosophy of language, but his projects—and the very terminology he employed in pursuing those projects—are still current in contemporary philosophy. This is undoubtedly why it seems so reasonable to assume that we can read Frege' s writings as if he were one of us, speaking to our philosophical concerns in our language. In Joan Weiner's view, however, Frege's words can be accurately interpreted only if we set that assumption aside. Weiner here offers a challenging new approach to the philosophy of this central figure in analytic philosophy. Weiner finds in Frege's corpus, from Begriffsschrift (1879) on, a unified project of remarkable ambition to which each of the writings in that corpus makes a distinct contribution—a project whose motivation she brings to life through a careful reading of his Foundations of Arithmetic. The Frege that Weiner brings into clear view is very different from the familiar figure. Far from having originated one of the standard positions on the nature of reference, Frege turns out not to have had positive doctrines on anything like what contemporary philosophers mean by "reference." Far from having served as a standard-bearer for those who take the realists' side of contemporary disputes with anti-realists, Frege turns out to have had no stake in either side of the controversy. Through Weiner's lens, Frege emerges as a thinker who has principled reasons for challenging the very assumptions and motivations that animate philosophers to dispute these doctrines. This lucidly written and accessible book will generate controversy among all readers with an interest in epistemology, philosophy of language, history of philosophy, and the philosophy of mathematics.
