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| Author | : Alfred Jules Ayer |
| Publisher | : Courier Corporation |
| Total Pages | : 175 |
| Release | : 2012-04-18 |
| Genre | : Philosophy |
| ISBN | : 0486113094 |
Download Language, Truth and Logic Book in PDF, ePub and Kindle
"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.
| Author | : Jaakko Hintikka |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 339 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 9401720452 |
Download Language, Truth and Logic in Mathematics Book in PDF, ePub and Kindle
One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics. On the one hand, some philosophers (and some mathematicians) take the nature and the results of mathematicians' activities as given, and go on to ask what philosophical morals one might perhaps find in their story. On the other hand, some philosophers, logicians and mathematicians have tried or are trying to subject the very concepts which mathematicians are using in their work to critical scrutiny. In practice this usually means scrutinizing the logical and linguistic tools mathematicians wield. Such scrutiny can scarcely help relying on philosophical ideas and principles. In other words it can scarcely help being literally a study of language, truth and logic in mathematics, albeit not necessarily in the spirit of AJ. Ayer. As its title indicates, the essays included in the present volume represent the latter approach. In most of them one of the fundamental concepts in the foundations of mathematics and logic is subjected to a scrutiny from a largely novel point of view. Typically, it turns out that the concept in question is in need of a revision or reconsideration or at least can be given a new twist. The results of such a re-examination are not primarily critical, however, but typically open up new constructive possibilities. The consequences of such deconstructions and reconstructions are often quite sweeping, and are explored in the same paper or in others.
| Author | : Harold G. Dales |
| Publisher | : Oxford University Press |
| Total Pages | : 396 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9780198514763 |
Download Truth in Mathematics Book in PDF, ePub and Kindle
The nature of truth in mathematics has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth century and in particular the work by G]odel and the development of the notion of independence in mathematics have led to new and complex views on this question. Collecting the work of a number of outstanding mathematicians and philosophers, including Yurii Manin, Vaughan Jones, and Per Martin-L]of, this volume provides an overview of the forefront of current thinking and a valuable introduction for researchers in the area.
| Author | : David Mills Daniel |
| Publisher | : SCM Press |
| Total Pages | : 153 |
| Release | : 2013-01-03 |
| Genre | : Religion |
| ISBN | : 0334048303 |
Download Briefly: Ayer's Language Truth and Logic Book in PDF, ePub and Kindle
Part of the "SCM Briefly" series, which summarizes books by philosophers and theologians, this book provides a summary of Language, Truth and Logic. It also includes line by line analysis, short quotes, and a glossary of terms to help students with definitions of philosophical terms.
| Author | : J. van Benthem |
| Publisher | : Elsevier |
| Total Pages | : 1274 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : 044481714X |
Download Handbook of Logic and Language Book in PDF, ePub and Kindle
This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.
| Author | : Thomas Bonk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 210 |
| Release | : 2003-09-30 |
| Genre | : Philosophy |
| ISBN | : 9781402012068 |
Download Language, Truth and Knowledge Book in PDF, ePub and Kindle
This collection will prove a valuable resource for our understanding of the historic Carnap and the living philosophical issues with which he grappled. It arose out of a symposium on Carnap's work (Vienna, 2001). With essays by Graham H. Bird, Jaakko Hintikka, Ilkka Niiniluoto, Jan Wolenski, this volume will interest graduate students of the philosophy of language and logic, as well as professional philosophers, historians of analytic philosophy, and philosophically inclined logicians.
| Author | : Mark Balaguer |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 234 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9780195143980 |
Download Platonism and Anti-Platonism in Mathematics Book in PDF, ePub and Kindle
In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)
| Author | : Alfred North Whitehead |
| Publisher | : |
| Total Pages | : 688 |
| Release | : 1910 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : |
Download Principia Mathematica Book in PDF, ePub and Kindle
| Author | : Jan Woleński |
| Publisher | : Springer Nature |
| Total Pages | : 392 |
| Release | : 2020-01-01 |
| Genre | : Philosophy |
| ISBN | : 3030245365 |
Download Semantics and Truth Book in PDF, ePub and Kindle
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
| Author | : Jared Warren |
| Publisher | : Oxford University Press |
| Total Pages | : 336 |
| Release | : 2020-07-20 |
| Genre | : Mathematics |
| ISBN | : 0190086165 |
Download Shadows of Syntax Book in PDF, ePub and Kindle
What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax.
