Principia Mathematica

Principia Mathematica
Author: Alfred North Whitehead
Publisher:
Total Pages: 688
Release: 1910
Genre: Logic, Symbolic and mathematical
ISBN:

The Principles of Logic (1883 Version)

The Principles of Logic (1883 Version)
Author: Francis Herbert Bradley
Publisher: Cambridge Scholars Publishing
Total Pages: 0
Release: 2002
Genre: Logic, Modern
ISBN: 9781904303015

The book is a new edition of the 1883 version of Francis Herbert Bradleys Principles of Logic. Though annotations in the main text are minimal, a new introduction by William Moss places the work in context describing its early reception as well as its present-day importance. There can be no doubt that this text is pivotal for our understanding of the thought of the leading British idealist, and therefore of late nineteenth century philosophy in general. The author sketches in great detail his views in a large number of areas within logic, from the nature of universals and inference, to the laws and foundations of probabilities. The account makes use and criticism of the works on logic and related fields of his contemporaries, such as Sigwart, Lotze, Bain, and Venn. In his introduction, William Moss asks a few thought-provoking questions on Bradley's position and image in the tradition of analytic philosophy, focusing on whether indeed the traditionally held view that Bradley comes at the close of a period which is now very much behind us and of little use for philosophical activity today, is justified.

The Logic of Gilles Deleuze

The Logic of Gilles Deleuze
Author: Corry Shores
Publisher: Bloomsbury Publishing
Total Pages: 313
Release: 2020-10-15
Genre: Philosophy
ISBN: 1350062278

French philosopher Gilles Deleuze wrote two 'logic' books: Francis Bacon: The Logic of Sensation and The Logic of Sense. However, in neither of these books nor in any other works does Deleuze articulate in a formal way the features of the logic he employs. He certainly does not use classical logic. And the best options for the non-classical logic that he may be implementing are: fuzzy, intuitionist, and many-valued. These are applicable to his concepts of heterogeneous composition and becoming, affirmative synthetic disjunction, and powers of the false. In The Logic of Gilles Deleuze: Basic Principles, Corry Shores examines the applicability of three non-classical logics to Deleuze's philosophy, by building from the philosophical and logical writings of Graham Priest, the world's leading proponent of dialetheism. Through so doing, Shores argues that Deleuze's logic is best understood as a dialetheic, paraconsistent, many-valued logic.

Reflective Equilibrium and the Principles of Logical Analysis

Reflective Equilibrium and the Principles of Logical Analysis
Author: Jaroslav Peregrin
Publisher: Routledge
Total Pages: 193
Release: 2017-02-10
Genre: Philosophy
ISBN: 1315453916

This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.

Mathematical Principles of Fuzzy Logic

Mathematical Principles of Fuzzy Logic
Author: Vilém Novák
Publisher: Springer Science & Business Media
Total Pages: 327
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461552176

Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Socratic Logic 3e Pbk

Socratic Logic 3e Pbk
Author: Peter Kreeft
Publisher: St Augustine PressInc
Total Pages: 399
Release: 2010-01-12
Genre: Philosophy
ISBN: 9781587318078

Symbolic logic may be superior to classical Aristotelian logic for the sciences, but not for the humanities. This text is designed for do-it-yourselfers as well as classrooms.

Introduction to Logic and Logical Discourse

Introduction to Logic and Logical Discourse
Author: Satya Sundar Sethy
Publisher: Springer Nature
Total Pages: 283
Release: 2021-06-12
Genre: Philosophy
ISBN: 9811626898

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.