Frege’s Notations

What They Are and How They Mean

Author: Gregory Landini,Michael Beaney

Publisher: Springer

ISBN: 0230360157

Category: Philosophy

Page: 194

View: 2598

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A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories. On this new approach, we can at last read Frege's notations in their original form revealing striking new solutions to many of the outstanding problems of interpreting his philosophy.
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The Philosophy of Logical Atomism

A Centenary Reappraisal

Author: Landon D. C. Elkind,Gregory Landini

Publisher: Palgrave Macmillan

ISBN: 9783319943633

Category: Philosophy

Page: 343

View: 7182

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This book offers a comprehensive critical survey of issues of historical interpretation and evaluation in Bertrand Russell's 1918 logical atomism lectures and logical atomism itself. These lectures record the culmination of Russell's thought in response to discussions with Wittgenstein on the nature of judgement and philosophy of logic and with Moore and other philosophical realists about epistemology and ontological atomism, and to Whitehead and Russell’s novel extension of revolutionary nineteenth-century work in mathematics and logic. Russell's logical atomism lectures have had a lasting impact on analytic philosophy and on Russell's contemporaries including Carnap, Ramsey, Stebbing, and Wittgenstein. Comprised of 14 original essays, this book will demonstrate how the direct and indirect influence of these lectures thus runs deep and wide.
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The Palgrave Centenary Companion to Principia Mathematica

Author: Bernard Linsky

Publisher: Springer

ISBN: 1137344636

Category: Philosophy

Page: 458

View: 8222

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To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.
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Alfred Tarski: Philosophy of Language and Logic

Author: Douglas Patterson,Michael Beaney

Publisher: Springer

ISBN: 0230367224

Category: Mathematics

Page: 262

View: 9623

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This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.
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Space and Time

A Priori and A Posteriori Studies

Author: Vincenzo Fano,Francesco Orilia,Giovanni Macchia

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110369141

Category: Philosophy

Page: 285

View: 8292

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This collection focuses on the ontology of space and time. It is centred on the idea that the issues typically encountered in this area must be tackled from a multifarious perspective, paying attention to both a priori and a posteriori considerations. Several experts in this area contribute to this volume: G. Landini discusses how Russell’s conception of time features in his general philosophical perspective;D. Dieks proposes a middle course between substantivalist and relationist accounts of space-time;P. Graziani argues that it is necessary to provide an account of the “synthetic procedures” implicit in the recourse to diagrams in Euclid’s Elements, while E. Mares comes to the conclusion that in Euclid’s Elements we should treat the parallel postulate as empirical and the postulate that space is continuous as a priori. M. Arsenijević/M. Adžić present an important formal result concerning two theories of the infinite two-dimensional continua, which sheds new light on the current dispute between gunkologists and pointilists; F. Orilia discusses two problems for presentism, one regarding the duration of the present and the other related to Zeno’s paradoxes. A. Iacona delves deep into logical matters by focusing on the so-called T×W modal frames in order to deal with the deteterminism-indeterminism controversy. D. Mancuso outlines a non-standard temporal model compatible with time travel, andV. Fano/G. Macchia discuss time travels in the light of an important foundational principle of modern cosmology, Weyl’s Principle.
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Language, Meaning, Interpretation

Author: Guttorm Fløistad

Publisher: Springer Science & Business Media

ISBN: 140202195X

Category: Language Arts & Disciplines

Page: 240

View: 4963

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Philosophy of logic and language, and of meaning and communication are central to this volume. The discussion of these issues involves analytical approaches, including semantics and semiotics, philosophy of science, mathematical logic, phenomenology, hermeneutics and some aspects of philosophical anthropology and aesthetics. Philosophy of the Absolute also belongs to this broad repertoire of philosophical problems and disciplines. A number of problems and viewpoints derive from the metaphysical system; any relativistic view on ethical values, for instance, makes sense in relation to some absolute. Metaphysical system building may have come to an end, but after all it belongs to philosophy to remind us of our past.
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Russell's Unknown Logicism

A Study in the History and Philosophy of Mathematics

Author: S. Gandon

Publisher: Springer

ISBN: 1137024658

Category: Mathematics

Page: 263

View: 3477

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In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.
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The Cambridge Companion to Frege

Author: Tom Ricketts,Michael Potter

Publisher: Cambridge University Press

ISBN: 113982578X

Category: Philosophy

Page: N.A

View: 1452

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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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