The Logical Must
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The Logical Must
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Author : Penelope Maddy
language : en
Publisher: Oxford University Press
Release Date : 2014-08-01
The Logical Must written by Penelope Maddy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Philosophy categories.
The Logical Must is an examination of Ludwig Wittgenstein's philosophy of logic, early and late, undertaken from an austere naturalistic perspective Penelope Maddy has called "Second Philosophy." The Second Philosopher is a humble but tireless inquirer who begins her investigation of the world with ordinary perceptual beliefs, moves from there to empirical generalizations, then to deliberate experimentation, and eventually to theory formation and confirmation. She takes this same approach to logical truth, locating its ground in simple worldly structures and our knowledge of it in our basic cognitive machinery, tuned by evolutionary pressures to detect those structures where they occur. In his early work Tractatus Logico-Philosophicus, Wittgenstein also links the logical structure of representation with the structure of the world, but he includes one key unnaturalistic assumption: that the sense of our representations must be given prior to-independently of-facts about how the world is. When that assumption is removed, the general outlines of the resulting position come surprisingly close to the Second Philosopher's roughly empirical account. In his later discussions of logic in Philosophical Investigations and Remarks on the Foundations of Mathematics, Wittgenstein also rejects this earlier assumption in favor of a picture that arises in the wake of the famous rule-following considerations. Here Wittgenstein and the Second Philosopher operate in even closer harmony-locating the ground of our logical practices in our interests, our natural inclinations and abilities, and very general features of the world-until the Second Philosopher moves to fill in the account with her empirical investigations of the world and cognition. At this point, Wittgenstein balks, but as a matter of personal animosity rather than philosophical principle.
The Logical Alien
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Author : Sofia Miguens
language : en
Publisher: Harvard University Press
Release Date : 2020-01-14
The Logical Alien written by Sofia Miguens and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Philosophy categories.
Is our logical form of thought merely one among many, or must it be the form of thought as such? From Kant to Wittgenstein, philosophers have wrestled with variants of this question. This volume brings together nine distinguished thinkers on the subject, including James Conant, author of the seminal paper “The Search for Logically Alien Thought.”
The Logical Writings Of Karl Popper
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Author : David Binder
language : en
Publisher: Springer Nature
Release Date : 2022-08-07
The Logical Writings Of Karl Popper written by David Binder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-07 with Philosophy categories.
This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.
The Logical Foundations Of Cognition
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Author : John Macnamara
language : en
Publisher: Oxford University Press
Release Date : 1994-10-13
The Logical Foundations Of Cognition written by John Macnamara and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-13 with Psychology categories.
This volume examines the role of logic in cognitive psychology in light of recent developments, such as Gonzalo Reyes's new semantic theory. Chapters reveal the prospects of applying these new theories to cognitive psychology, cognitive science, linguistics, the philosophy of language and logic.
The Logical Foundations Of Bradley S Metaphysics
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Author : James Allard
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-22
The Logical Foundations Of Bradley S Metaphysics written by James Allard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-22 with Philosophy categories.
This book is a major contribution to the study of the philosopher F. H. Bradley, the most influential member of the nineteenth-century school of British Idealists. It offers a sustained interpretation of Bradley's Principles of Logic, explaining the problem of how it is possible for inferences to be both valid and yet have conclusions that contain new information. The author then describes how this solution provides a basis for Bradley's metaphysical view that reality is one interconnected experience and how this gives rise to a new problem of truth.
The Logic Of Entailment And Its History
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Author : Edwin Mares
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-31
The Logic Of Entailment And Its History written by Edwin Mares and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-31 with Mathematics categories.
What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
Introduction To Logic And Logical Discourse
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Author : Satya Sundar Sethy
language : en
Publisher: Springer Nature
Release Date : 2021-06-12
Introduction To Logic And Logical Discourse written by Satya Sundar Sethy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-12 with Philosophy categories.
This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.
The Logical Legacy Of Nikolai Vasiliev And Modern Logic
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Author : Vladimir Markin
language : en
Publisher: Springer
Release Date : 2017-11-21
The Logical Legacy Of Nikolai Vasiliev And Modern Logic written by Vladimir Markin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Philosophy categories.
This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systems of paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.
Logical Thinking In The Pyramidal Schema Of Concepts The Logical And Mathematical Elements
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Author : Lutz Geldsetzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-30
Logical Thinking In The Pyramidal Schema Of Concepts The Logical And Mathematical Elements written by Lutz Geldsetzer 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 2012-11-30 with Philosophy categories.
This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.
Logic And The Imperial Stoa
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Author : Jonathan Barnes
language : en
Publisher: BRILL
Release Date : 1997
Logic And The Imperial Stoa written by Jonathan Barnes and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Philosophy categories.
An account of the role and the nature of logic in imperial stoic philosophy which challenges the prevailing orthodoxy and presents a novel interpretation of this crucial period of ancient philosophy.