The Construction of Logical Space

The Construction of Logical Space
Title The Construction of Logical Space PDF eBook
Author Agustín Rayo
Publisher
Pages 241
Release 2013-06-27
Genre Mathematics
ISBN 0199662622

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Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.

The Logical Must

The Logical Must
Title The Logical Must PDF eBook
Author Penelope Maddy
Publisher Oxford University Press, USA
Pages 147
Release 2014
Genre Philosophy
ISBN 0199391750

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"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--

A Logical Theory of Causality

A Logical Theory of Causality
Title A Logical Theory of Causality PDF eBook
Author Alexander Bochman
Publisher MIT Press
Pages 367
Release 2021-08-17
Genre Computers
ISBN 0262362244

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A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference. In this book, Alexander Bochman presents a general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference, basing it on a supposition that causal reasoning is not a competitor of logical reasoning but its complement for situations lacking logically sufficient data or knowledge. Bochman also explores the relationship of this theory with the popular structural equation approach to causality proposed by Judea Pearl and explores several applications ranging from artificial intelligence to legal theory, including abduction, counterfactuals, actual and proximate causality, dynamic causal models, and reasoning about action and change in artificial intelligence. As logical preparation, before introducing causal concepts, Bochman describes an alternative, situation-based semantics for classical logic that provides a better understanding of what can be captured by purely logical means. He then presents another prerequisite, outlining those parts of a general theory of nonmonotonic reasoning that are relevant to his own theory. These two components provide a logical background for the main, two-tier formalism of the causal calculus that serves as the formal basis of his theory. He presents the main causal formalism of the book as a natural generalization of classical logic that allows for causal reasoning. This provides a formal background for subsequent chapters. Finally, Bochman presents a generalization of causal reasoning to dynamic domains.

It's Logical

It's Logical
Title It's Logical PDF eBook
Author Kaustubh Dhargalkar
Publisher
Pages 0
Release 2020
Genre Business planning
ISBN 9789354791550

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The book aims at exploring how business model innovation can be achieved logically by focusing on the user.

a new law of thought and its logical bearings

a new law of thought and its logical bearings
Title a new law of thought and its logical bearings PDF eBook
Author
Publisher CUP Archive
Pages 96
Release
Genre
ISBN

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Proof and Falsity

Proof and Falsity
Title Proof and Falsity PDF eBook
Author Nils Kürbis
Publisher Cambridge University Press
Pages 317
Release 2019-05-09
Genre Philosophy
ISBN 1108481302

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Provides an original analysis of negation - a central concept of logic - and how to define its meaning in proof-theoretic semantics.

Simply Logical

Simply Logical
Title Simply Logical PDF eBook
Author Peter Flach
Publisher Wiley
Pages 256
Release 1994-04-07
Genre Computers
ISBN 9780471942153

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An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts.