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The Origin Of The Logic Of Symbolic Mathematics


The Origin Of The Logic Of Symbolic Mathematics
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The Origin Of The Logic Of Symbolic Mathematics


The Origin Of The Logic Of Symbolic Mathematics
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Author : Burt C. Hopkins
language : en
Publisher: Indiana University Press
Release Date : 2011-09-07

The Origin Of The Logic Of Symbolic Mathematics written by Burt C. Hopkins and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-07 with Philosophy categories.


Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.



Greek Mathematical Thought And The Origin Of Algebra


Greek Mathematical Thought And The Origin Of Algebra
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Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22

Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.


Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.



Principia Mathematica


Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927

Principia Mathematica written by Alfred North Whitehead 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 1927 with Mathematics categories.


The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.



Philosophical And Mathematical Logic


Philosophical And Mathematical Logic
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Author : Harrie de Swart
language : en
Publisher: Springer
Release Date : 2018-11-28

Philosophical And Mathematical Logic written by Harrie de Swart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-28 with Philosophy categories.


This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo



The New Yearbook For Phenomenology And Phenomenological Philosophy


The New Yearbook For Phenomenology And Phenomenological Philosophy
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Author : Burt Hopkins
language : en
Publisher: Routledge
Release Date : 2015-03-18

The New Yearbook For Phenomenology And Phenomenological Philosophy written by Burt Hopkins and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-18 with Philosophy categories.


The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.



Husserl S Phenomenology Of Natural Language


Husserl S Phenomenology Of Natural Language
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Author : Horst Ruthrof
language : en
Publisher: Bloomsbury Publishing
Release Date : 2021-07-29

Husserl S Phenomenology Of Natural Language written by Horst Ruthrof and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-29 with Philosophy categories.


Horst Ruthrof revisits Husserl's phenomenology of language and highlights his late writings as essential to understanding the full range of his ideas. Focusing on the idea of language as imaginable as well as the role of a speech community in constituting it, Ruthrof provides a powerful re-assessment of his methodological phenomenology. From the Logical Investigations to untranslated portions of his Nachlass, Ruthrof charts all the developments and amendments in his theorizations. Ruthrof argues that it is the intersubjective character to linguistic meaning that is so emblematic of Husserl's position. Bringing his study up to the present day, Ruthrof discusses mental time travel, the evolution of language, and protosyntax in the context of Husserl's late writings, progressing a comprehensive new phenomenological ontology of language with wide-ranging implications for philosophy, linguistics, and cultural studies.



Artificial Intelligence And Symbolic Computation


Artificial Intelligence And Symbolic Computation
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Author : John A. Campbell
language : en
Publisher: Springer
Release Date : 2003-06-29

Artificial Intelligence And Symbolic Computation written by John A. Campbell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-29 with Computers categories.


This book constitutes the thoroughly refereed post-proceedings of the International Conference on Artificial Intelligence and Symbolic Computation, AISC 2000, held in Madrid, Spain in July 2000. The 17 revised full papers presented together with three invited papers were carefully reviewed and revised for inclusion in the book. Among the topics addressed are automated theorem proving, logical reasoning, mathematical modeling of multi-agent systems, expert systems and machine learning, computational mathematics, engineering, and industrial applications.



Paradoxes Of The Infinite Routledge Revivals


Paradoxes Of The Infinite Routledge Revivals
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Author : Bernard Bolzano
language : en
Publisher: Routledge
Release Date : 2014-03-18

Paradoxes Of The Infinite Routledge Revivals written by Bernard Bolzano and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Philosophy categories.


Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.



Historical Dictionary Of Husserl S Philosophy


Historical Dictionary Of Husserl S Philosophy
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Author : John J. Drummond
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2022-03-14

Historical Dictionary Of Husserl S Philosophy written by John J. Drummond and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-14 with Philosophy categories.


Edmund Husserl is generally regarded as the founding figure of the philosophical movement of “phenomenology,” by which he understands a descriptive science of the essential structures of experiences and of their objects precisely as these are experienced. Phenomenology has had a decisive influence on philosophy in the 20th century, especially in Europe. The movement known as “continental philosophy,” whether practiced in Europe or elsewhere, has its roots in phenomenology and in the post-Hegelian philosophies of Søren Kierkegaard, Friedrich Nietzsche, and Karl Marx. Historical Dictionary of Husserl's Philosophy, Second Edition contains a chronology, an introduction, and an extensive bibliography. The dictionary section has more than 600 cross-referenced entries on his key concepts and major writings as well as entries on his most important predecessors, contemporaries, and successors. This book is an excellent resource for students, researchers, and anyone wanting to know more about Edmund Husserl.



Il Tempo E Il Continuo


Il Tempo E Il Continuo
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Author : Cord Friebe
language : en
Publisher: Philosophy Kitchen. Rivista di filosofia contemporanea
Release Date : 2020-09-15

Il Tempo E Il Continuo written by Cord Friebe and has been published by Philosophy Kitchen. Rivista di filosofia contemporanea this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Philosophy categories.


Nonostante lo sviluppo di una definizione matematica e rigorosa del continuo attraverso i lavori di Cantor e lo sviluppo teoria degli insiemi a fine ‘800, la continuità del tempo rimane un problema per la filosofia contemporanea. Questo vale soprattutto per quelle teorie che accentuano la natura dinamica del tempo e del cambiamento, come la teoria A del tempo e in particolare il presentismo. Come è possibile pensare il tempo come continuo e perciò come esteso, se esso è, in quanto dinamico, in eterno divenire? Come possiamo concepire la continuità del tempo in contrapposizione alla continuità dello spazio? Attraverso un analisi di diverse concezioni del continuo nella storia della filosofia così, il presente volume intende esplorare diverse risposte a tali domande.