Strict Finitism
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Strict Finitism
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Author : Charles F. Kielkopf
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-05-24
Strict Finitism written by Charles F. Kielkopf and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Language Arts & Disciplines categories.
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Strict Finitism And The Logic Of Mathematical Applications
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Author : Feng Ye
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-06
Strict Finitism And The Logic Of Mathematical Applications written by Feng Ye and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-06 with Science categories.
This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity. Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.
Wittgenstein Finitism And The Foundations Of Mathematics
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Author : Mathieu Marion
language : en
Publisher: OUP Oxford
Release Date : 1998-12-17
Wittgenstein Finitism And The Foundations Of Mathematics written by Mathieu Marion and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-17 with Philosophy categories.
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
The Moving Spotlight
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Author : Ross P. Cameron
language : en
Publisher: OUP Oxford
Release Date : 2015-08-20
The Moving Spotlight written by Ross P. Cameron and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-20 with Philosophy categories.
Ross P. Cameron argues that the flow of time is a genuine feature of reality. He suggests that the best version of the A-Theory is a version of the Moving Spotlight view, according to which past and future beings are real, but there is nonetheless an objectively privileged present. Cameron argues that the Moving Spotlight theory should be viewed as having more in common with Presentism (the view that reality is limited to the present) than with the B-Theory (the view that time is just another dimension like space through which things are spread out). The Moving Spotlight view, on this picture, agrees with Presentism that everything is the way it is now, it simply thinks that non-present beings are amongst the things that are now some way. Cameron argues that the Moving Spotlight theory provides the best account of truthmakers for claims about what was or will be the case, and he defends the view against a number of objections, including McTaggart's argument that the A-Theory is inconsistent, and the charge that if the A-Theory is true but presentism false then we could not know that we are present. The Moving Spotlight defends an account of the open future--that what will happen is, as yet, undetermined--Land argues that this is a better account than that available to the Growing Block theory.
Studies In No Self Physicalism
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Author : Feng Ye
language : en
Publisher: Springer Nature
Release Date : 2022-12-12
Studies In No Self Physicalism written by Feng Ye and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-12 with Philosophy categories.
This book demonstrates how a radical version of physicalism (‘No-Self Physicalism’) can offer an internally coherent and comprehensive philosophical worldview. It first argues that a coherent physicalist should explicitly treat a cognitive subject merely as a physical thing and should not vaguely assume an amorphous or even soul-like subject or self. This approach forces the physicalist to re-examine traditional core philosophical notions such as truth, analyticity, modality, apriority because our traditional understandings of them appear to be predicated on a cognitive subject that is not literally just a physical thing. In turn, working on the assumption that a cognitive subject is itself completely physical, namely a neural network-based robot programmed by evolution (hence the term ‘No-Self’), the book proposes physicalistic theories on conceptual representation, truth, analyticity, modality, the nature of mathematics, epistemic justification, knowledge, apriority and intuition, as well as a physicalistic ontology. These are meant to show that this No-Self Physicalism, perhaps the most minimalistic and radical version of physicalism proposed to date, can accommodate many aspects that have traditionally interested philosophers. Given its refreshingly radical approach and painstakingly developed content, the book is of interest to anyone who is seeking a coherent philosophical worldview in this age of science.
Introduction To Logic
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Author : Jess Drake
language : en
Publisher: Scientific e-Resources
Release Date : 2018-05-30
Introduction To Logic written by Jess Drake and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with categories.
Logic originally meaning "e;the word"e; or "e;what is spoken"e; is generally held to consist of the systematic study of the form of arguments. A valid argument is one where there is a specific relation of logical support between the assumptions of the argument and its conclusion. There is no universal agreement as to the exact scope and subject matter of logic, but it has traditionally included the classification of arguments, the systematic exposition of the 'logical form' common to all valid arguments, the study of inference, including fallacies, and the study of semantics, including paradoxes. Historically, logic has been studied in philosophy and mathematics and recently logic has been studied in computer science, linguistics, psychology, and other fields. The book is about the logic and talks about various aspects of it such as general character of the enquiry, argument from analogy, mathematical reasoning, etc. This book will prove to be very useful for the people interested in logic as well as the students of logic.
Wittgenstein S Philosophy Of Mathematics
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Author : Pasquale Frascolla
language : en
Publisher: Routledge
Release Date : 2006-12-05
Wittgenstein S Philosophy Of Mathematics written by Pasquale Frascolla and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-05 with Philosophy categories.
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Dummett
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Author : Karen Green
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-02
Dummett written by Karen Green and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
Michael Dummett stands out among his generation as the only British philosopher of language to rival in stature the Americans, Davidson and Quine. In conjunction with them he has been responsible for much of the framework within which questions concerning meaning and understanding are raised and answered in the late twentieth-century Anglo-American tradition. Dummett's output has been prolific and highly influential, but not always as accessible as it deserves to be. This book sets out to rectify this situation. Karen Green offers the first comprehensive introduction to Dummett's philosophy of language, providing an overview and summary of his most important arguments. She argues that Dummett should not be understood as a determined advocate of anti-realism, but that his greatest contribution to the philosophy of language is to have set out the strengths and weaknesses of the three most influential positions within contemporary theory of meaning - realism, as epitomised by Frege, the holism to be found in Wittgenstein, Quine and Davidson and the constructivism which can be extracted from Brouwer. It demonstrates that analytic philosophy as Dummett practices it, is by no means an outmoded approach to thinking about language, but that it is relevant both to cognitive science and to phenomenology.
Michael Dummett
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Author : Bernhard Weiss
language : en
Publisher: Routledge
Release Date : 2014-12-18
Michael Dummett written by Bernhard Weiss and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Philosophy categories.
Michael Dummett's approach to the metaphysical issue of realism through the philosophy of language, his challenge to realism, and his philosophy of language itself are central topics in contemporary analytic philosophy and have influenced the work of other major figures such as Quine, Putnam, and Davidson. This book offers an accessible and systematic presentation of the main elements of Dummett's philosophy. This book's overarching theme is Dummett's discussion of realism: his characterization of realism, his attack on realism, and his invention and exploration of the anti-realist position. This book begins by examining Dummett's views on language. Only against that setting can one fully appreciate his conception of the realism issue. With this in place, Weiss returns to Dummett's views on the nature of meaning and understanding to unfold his challenge to realism. Weiss devotes the remainder of this book to examining the anti-realist position. He discusses anti-realist theories of meaning and then investigates anti-realism's revisionary consequences. Finally, he engages with Dummett's discussion of two difficult challenges for the anti-realist: the past and mathematics.
Piero Sraffa The Man And The Scholar
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Author : Heinz D. Kurz
language : en
Publisher: Routledge
Release Date : 2013-09-13
Piero Sraffa The Man And The Scholar written by Heinz D. Kurz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-13 with Business & Economics categories.
Previously published as special issues of The European Journal of the History of Economic Thought and The Review of Political Economy, this volume contains the papers devoted to the life and work of Piero Sraffa. Sraffa was a leading intellectual of the twentieth century. He was brought to Cambridge by John Maynard Keynes and had an important impact on the philosopher Ludwig Wittgenstein. He received the golden medal Söderström of the Swedish Academy of Sciences for his edition of David Ricardo's Works and Correspondence and he is the author of Production of Commodities by Means of Commodities, one of the most often cited book in economics. Using hitherto unpublished material from Sraffa's literary heritage kept at Trinity College, Cambridge, the papers throw new light on the intellectual development of the young Sraffa and correct several of the received views on him and his contribution. Themes covered concern his: objectivism rediscovery and reformulation of the classical theory of value and distribution criticism of Alfred Marshall's analysis relationship with his Cambridge colleagues and friends biography around the time when he left Italy for the UK friendship with Wittgenstein and his impact on the latter's thinking.