Download or read book Foundations of Mathematics and other Logical Essays written by Frank Plumpton Ramsey and published by Routledge. This book was released on 2013-10-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
Download or read book The Foundations of Mathematics and Other Logical Essays written by Frank Plumpton Ramsey and published by . This book was released on 1965 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of works by Frank Plumpton Ramsey (1903-1930), who made seminal contributions to philosophy, mathematics and economics. Whilst he was acknowledged as a genius by his contemporaries, some of his most important ideas were not appreciated until decades later; now better appreciated, they continue to bear an influence upon contemporary philosophy. His historic significance was to usher in a new phase of analytic philosophy, which initially built upon the logical atomist doctrines of Bertrand Russell and Ludwig Wittgenstein, raising their ideas to a new level of sophistication, but ultimately he became their successor rather than remain a mere acolyte.
Download or read book The Foundations of Mathematics and Other Logical Essays written by Frank Plumpton Ramsey and published by . This book was released on 1931 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Frank Ramsey written by Cheryl Misak and published by Oxford University Press. This book was released on 2020-02-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: When he died in 1930 aged 26, Frank Ramsey had already invented one branch of mathematics and two branches of economics, laying the foundations for decision theory and game theory. Keynes deferred to him; he was the only philosopher whom Wittgenstein treated as an equal. Had he lived he might have been recognized as the most brilliant thinker of the century. This amiable shambling bear of a man was an ardent socialist, a believer in free love, and an intimate of the Bloomsbury set. For the first time Cheryl Misak tells the full story of his extraordinary life.
Download or read book Essays on the Foundations of Mathematics and Logic written by Giandomenico Sica and published by Polimetrica s.a.s.. This book was released on 2005 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kurt G del and the Foundations of Mathematics written by Matthias Baaz and published by Cambridge University Press. This book was released on 2011-06-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
Download or read book 18 Unconventional Essays on the Nature of Mathematics written by Reuben Hersh and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
Download or read book Foundations written by Frank Plumpton Ramsey and published by Taylor & Francis. This book was released on 1978-01-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tractatus in Context written by James C. Klagge and published by Routledge. This book was released on 2021-10-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Wittgenstein’s brief Tractatus Logico-Philosophicus (1922) is one of the most important philosophical works of the twentieth century, yet it offers little orientation for the reader. The first-time reader is left wondering what it could be about, and the scholar is left with little guidance for interpretation. In Tractatus in Context, James C. Klagge presents the vital background necessary for appreciating Wittgenstein’s gnomic masterpiece. Tractatus in Context contains the early reactions to the Tractatus, including the initial reviews written in 1922-1924. And while we can’t talk with Wittgenstein, we can do the next best thing—hear what he had to say about the Tractatus. Klagge thus presents what Wittgenstein thought about germane issues leading up to his writing the book, in discussions and correspondence with others about his ideas, and what he had to say about the Tractatus after it was written—in letters, lectures and conversations. It offers, you might say, Wittgenstein’s own commentary on the book. Key Features: Illuminates what is at stake in the Tractatus, by providing the views of others that engaged Wittgenstein as he was writing it. Includes Wittgenstein’s earlier thoughts on ideas in the book as recorded in his notebooks, letters, and conversations as well as his later, retrospective comments on those ideas. Draws on new or little-known sources, such as Wittgenstein’s coded notebooks, Hermine’s notes, Frege’s letters, Hänsel’s diary, Ramsey’s notes, and Skinner’s dictations. Draws connections between the background context and specific passages in the Tractatus, using a proposition-by-proposition commentary.
Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Download or read book The Logics of Preference written by N.J. Moutafakis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: With characteristic incisiveness Georg Henrik von Wright identifies pro haireticIogic (i. e. the logic of preference) as the core of a general theory of value concepts. Essentially, this nucleus involves the logical study of acts from the point of view of their preferability. 1 (italics added) Though the term prohairesis is found in Plato, as well as in Aristotle's treatment of the relations of preference, it is von Wright who introduces this word into contemporary analytical philoso phy, and succinctly specifies the philosophical dimensions it encompasses. The above emphasis upon the philosophical study of the formalization of preferences is a matter of utmost importance for understanding the type of in quiry this investigation attempts to initiate. Over the past one hundred years the literature on general theories of subjective utility has become massive, where one considers the work done in psychometrics, econometrics, statistical theories, probability theories, etc., etc. Histories in these areas are strong in tracing various evolutions in the development of the concept of preference in decision-making. However, what has not been investigated with sustained at tention are the fundamentally philosophical inquiries into the formalization of preference-relations.
Download or read book F P Ramsey Philosophical Papers written by F. P. Ramsey and published by Cambridge University Press. This book was released on 1990-07-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compilation of all previously published writings on philosophy and the foundations of mathematics from the greatest of the generation of Cambridge scholars that included G.E. Moore, Bertrand Russell, Ludwig Wittgenstein and Maynard Keynes.
Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-17 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.
Download or read book Forms of Thought written by E. J. Lowe and published by Cambridge University Press. This book was released on 2013-04-11 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lowe investigates the forms of thought, showing how this study is crucial to understanding the powers of the intellect.
Download or read book The Four Category Ontology written by E. J. Lowe and published by Oxford University Press. This book was released on 2006 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: E. J. Lowe sets out and defends his theory of what there is. His four-category ontology is a metaphysical system that recognizes two fundamental categorial distinctions which cut across each other to generate four fundamental ontological categories. The distinctions are between the particular and the universal and between the substantial and the non-substantial. The four categories thus generated are substantial particulars, non-substantial particulars, substantial universals andnon-substantial universals. Non-substantial universals include properties and relations, conceived as universals. Non-substantial particulars include property-instances and relation-instances, otherwise known as non-relational and relational tropes or modes. Substantial particulars include propertiedindividuals, the paradigm examples of which are persisting, concrete objects. Substantial universals are otherwise known as substantial kinds and include as paradigm examples natural kinds of persisting objects.This ontology has a lengthy pedigree, many commentators attributing it to Aristotle on the basis of certain passages in his apparently early work, the Categories. At various times during the history of Western philosophy, it has been revived or rediscovered, but it has never found universal favour, perhaps on account of its apparent lack of parsimony as well as its commitment to universals. In pursuit of ontological economy, metaphysicians have generally preferred to recognize fewerthan four fundamental ontological categories. However, Occam's razor stipulates only that we should not multiply entities beyond necessity; Lowe argues that the four-category ontology has an explanatory power unrivalled by more parsimonious systems, and that this counts decisively in its favour. He shows thatit provides a powerful explanatory framework for a unified account of causation, dispositions, natural laws, natural necessity and many other related matters, such as the semantics of counterfactual conditionals and the character of the truthmaking relation. As such, it constitutes a thoroughgoing metaphysical foundation for natural science.
Download or read book Handbook on the History of Economic Analysis Volume I written by Gilbert Faccarello and published by Edward Elgar Publishing. This book was released on 2016-07-27 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I contains original biographical profiles of many of the most important and influential economists from the seventeenth century to the present day. These inform the reader about their lives, works and impact on the further development of the discipline. The emphasis is on their lasting contributions to our understanding of the complex system known as the economy. The entries also shed light on the means and ways in which the functioning of this system can be improved and its dysfunction reduced.
Download or read book Logic Language and Mathematics written by Alexander Miller and published by Oxford University Press, USA. This book was released on 2020-03-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crispin Wright is widely recognised as one of the most important and influential analytic philosophers of the twentieth and twenty-first centuries. This volume is a collective exploration of the major themes of his work in philosophy of language, philosophical logic, and philosophy of mathematics. It comprises specially written chapters by a group of internationally renowned thinkers, as well as four substantial responses from Wright. In these thematically organized replies, Wright summarizes his life's work and responds to the contributory essays collected in this book. In bringing together such scholarship, the present volume testifies to both the enormous interest in Wright's thought and the continued relevance of Wright's seminal contributions in analytic philosophy for present-day debates;
