Functions And Generality Of Logic

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Functions And Generality Of Logic

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Author : Hourya Benis-Sinaceur
language : en
Publisher: Springer
Release Date : 2015-06-24

Functions And Generality Of Logic written by Hourya Benis-Sinaceur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Philosophy categories.

This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms. The first chapter explains how, although he shares Frege’s aim at substituting logical standards of rigor to intuitive imports from spatio-temporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind’s and Frege’s actual ways of doing and thinking. The second chapter reflects on Frege’s notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege’s program in the foundations of mathematics, and includes comparisons of Frege’s, Russell’s and Ramsey’s views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter’s main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem.

Wittgenstein On Logic As The Method Of Philosophy

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Author : Oskari Kuusela
language : en
Publisher: Oxford University Press
Release Date : 2019-01-03

Wittgenstein On Logic As The Method Of Philosophy written by Oskari Kuusela 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 2019-01-03 with Philosophy categories.

In Wittgenstein on Logic as the Method of Philosophy, Oskari Kuusela examines Wittgenstein's early and late philosophies of logic, situating their philosophical significance in early and middle analytic philosophy with particular reference to Frege, Russell, Carnap, and Strawson. He argues that not only the early but also the later Wittgenstein sought to further develop the logical-philosophical approaches of his contemporaries. Throughout his career Wittgenstein's aim was to resolve problems with and address the limitations of Frege's and Russell's accounts of logic and their logical methodologies so as to achieve the philosophical progress that originally motivated the logical-philosophical approach. By re-examining the roots and development of analytic philosophy, Kuusela seeks to open up covered up paths for the further development of analytic philosophy. Offering a novel interpretation of the philosopher, he explains how Wittgenstein extends logical methodology beyond calculus-based logical methods and how his novel account of the status of logic enables one to do justice to the complexity and richness of language use and thought while retaining rigour and ideals of logic such as simplicity and exactness. In addition, this volume outlines the new kind of non-empiricist naturalism developed in Wittgenstein's later work and explaining how his account of logic can be used to dissolve the long-standing methodological dispute between the ideal and ordinary language schools of analytic philosophy. It is of interest to scholars, researchers, and advance students of philosophy interested in engaging with a number of scholarly debates.

Logic By Alexander Bain

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Author : Alexander Bain
language : en
Publisher:
Release Date : 1870

Logic By Alexander Bain written by Alexander Bain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with categories.

Logic Deductive And Inductive

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Author : Alexander Bain
language : en
Publisher:
Release Date : 1889

Logic Deductive And Inductive written by Alexander Bain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1889 with Logic categories.

Logic

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Author : Alexander Bain
language : en
Publisher:
Release Date : 1873

Logic written by Alexander Bain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1873 with Logic categories.

Logic Truth And Meaning

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Author : Mary Geach
language : en
Publisher: Andrews UK Limited
Release Date : 2015-12-21

Logic Truth And Meaning written by Mary Geach and has been published by Andrews UK Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Philosophy categories.

This fourth and final volume of writings by Elizabeth Anscombe reprints her Introduction to Wittgenstein's Tractatus, together with a number of later essays on thought and language in which she explores issues of reason, representation, truth and existence. As with previous volumes this gathers hitherto inaccessible publications and previously unpublished texts. Singly and collectively the four volumes provide for a broader and deeper understanding of the thought of one of the twentieth century's most important anglophone philosophers.

The Functional Interpretation Of Logical Deduction

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Author : Anjolina G. de Oliveira
language : en
Publisher: World Scientific
Release Date : 2012

The Functional Interpretation Of Logical Deduction written by Anjolina G. de Oliveira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.

This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Philosophy Of Logic And Mathematics

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Author : Gabriele M. Mras
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-11-18

Philosophy Of Logic And Mathematics written by Gabriele M. Mras and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-18 with Philosophy categories.

This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

Logic Induction

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Author : Alexander Bain
language : en
Publisher:
Release Date : 1870

Logic Induction written by Alexander Bain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with Logic categories.

Logic

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Author : Alexander BAIN (Professor of Logic in the University of Aberdeen.)
language : en
Publisher:
Release Date : 1870

Logic written by Alexander BAIN (Professor of Logic in the University of Aberdeen.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with categories.