Einf Hrung In Die Operative Logik Und Mathematik
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Einf Hrung In Die Operative Logik Und Mathematik
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Author : Paul Lorenzen
language : de
Publisher: Springer-Verlag
Release Date : 2013-04-17
Einf Hrung In Die Operative Logik Und Mathematik written by Paul Lorenzen and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Einf Hrung In Die Operative Logik Und Mathematik
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Author :
language : de
Publisher:
Release Date : 1959
Einf Hrung In Die Operative Logik Und Mathematik written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Die Grundlehren Der Mathematischen Wissenschaften In Einzeldarstellungen Mit Besonderer Ber Cksichtigung Der Anwendungsgebiete
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Author : Paul Lorenzen
language : en
Publisher:
Release Date : 1955
Die Grundlehren Der Mathematischen Wissenschaften In Einzeldarstellungen Mit Besonderer Ber Cksichtigung Der Anwendungsgebiete written by Paul Lorenzen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.
Paul Lorenzen Mathematician And Logician
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Author : Gerhard Heinzmann
language : en
Publisher: Springer Nature
Release Date : 2021-08-17
Paul Lorenzen Mathematician And Logician written by Gerhard Heinzmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-17 with Mathematics categories.
This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen’s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen’s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen’s consistency proof and Hilbert’s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics. Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.
Logic Language And Method
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Author : Kuno Lorenz
language : en
Publisher: Walter de Gruyter
Release Date : 2010
Logic Language And Method written by Kuno Lorenz and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Language Arts & Disciplines categories.
Papers from more than three decades reflect the development of thinkingover the dialogical framework that shapes verbal expression of comprehending experience and that has to be exhibited in responsible argumentations. With dialogical reconstructions of experience owing to the methodical constructivism of the "Erlangen School" it is possible to uncover the origin of many conceptual oppositions in traditional philosophical talk, like natural vs. artificial/cultural, subjective vs. objective, etc., and to solve philosophical riddles connected with them.
Formal Logic
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Author : P. Lorenzen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Formal Logic written by P. Lorenzen 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 2013-03-09 with Philosophy categories.
"Logic", one of the central words in Western intellectual history, compre hends in its meaning such diverse things as the Aristotelian syllogistic, the scholastic art of disputation, the transcendental logic of the Kantian critique, the dialectical logic of Hegel, and the mathematical logic of the Principia Mathematica of Whitehead and Russell. The term "Formal Logic", following Kant is generally used to distinguish formal logical reasonings, precisely as formal, from the remaining universal truths based on reason. (Cf. SCHOLZ, 1931). A text-book example of a formal-logical inference which from "Some men are philosophers" and "All philosophers are wise" concludes that "Some men are wise" is called formal, because the validity of this inference depends only on the form ofthe given sentences -in particular it does not depend on the truth or falsity of these sentences. (On the dependence of logic on natural language, English, for example, compare Section 1 and 8). The form of a sentence like "Some men are philosophers", is that which remains preserved when the given predicates, here "men" and "philosophers" are replaced by arbitrary ones. The form itself can thus be represented by replacing the given predicates by variables. Variables are signs devoid of meaning, which may serve merely to indicate the place where meaningful constants (here the predicates) are to be inserted. As variables we shall use - as did Aristotle - letters, say P, Q and R, as variables for predicates.
Einf Hrung In Die Operative Logik Und Mathernatik
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Author : Paul Lorenzen
language : de
Publisher:
Release Date : 1969
Einf Hrung In Die Operative Logik Und Mathernatik written by Paul Lorenzen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Introduction To Mathematical Logic
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Author : Hans Hermes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Introduction To Mathematical Logic written by Hans Hermes 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 2013-06-29 with Mathematics categories.
This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for mathematics students who are already acquainted with some of the fundamental concepts of mathematics, such as that of a group. It should help the reader to see for himself the advantages of a formalisation. The step from the everyday language to a formalised language, which usually creates difficulties, is dis cussed and practised thoroughly. The analysis of the way in which basic mathematical structures are approached in mathematics leads in a natural way to the semantic notion of consequence. One of the substantial achievements of modern logic has been to show that the notion of consequence can be replaced by a provably equivalent notion of derivability which is defined by means of a calculus. Today we know of many calculi which have this property.
Markov Processes Structure And Asymptotic Behavior
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Author : Murray Rosenblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Markov Processes Structure And Asymptotic Behavior written by Murray Rosenblatt 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 2012-12-06 with Mathematics categories.
This book is concerned with a set of related problems in probability theory that are considered in the context of Markov processes. Some of these are natural to consider, especially for Markov processes. Other problems have a broader range of validity but are convenient to pose for Markov processes. The book can be used as the basis for an interesting course on Markov processes or stationary processes. For the most part these questions are considered for discrete parameter processes, although they are also of obvious interest for continuous time parameter processes. This allows one to avoid the delicate measure theoretic questions that might arise in the continuous parameter case. There is an attempt to motivate the material in terms of applications. Many of the topics concern general questions of structure and representation of processes that have not previously been presented in book form. A set of notes comment on the many problems that are still left open and related material in the literature. It is also hoped that the book will be useful as a reference to the reader who would like an introduction to these topics as well as to the reader interested in extending and completing results of this type.
The Realism Antirealism Debate In The Age Of Alternative Logics
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-22
The Realism Antirealism Debate In The Age Of Alternative Logics written by Shahid Rahman 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 2011-09-22 with Philosophy categories.
The relation between logic and knowledge has been at the heart of a lively debate since the 1960s. On the one hand, the epistemic approaches based their formal arguments in the mathematics of Brouwer and intuitionistic logic. Following Michael Dummett, they started to call themselves `antirealists'. Others persisted with the formal background of the Frege-Tarski tradition, where Cantorian set theory is linked via model theory to classical logic. Jaakko Hintikka tried to unify both traditions by means of what is now known as `explicit epistemic logic'. Under this view, epistemic contents are introduced into the object language as operators yielding propositions from propositions, rather than as metalogical constraints on the notion of inference. The Realism-Antirealism debate has thus had three players: classical logicians, intuitionists and explicit epistemic logicians. The editors of the present volume believe that in the age of Alternative Logics, where manifold developments in logic happen at a breathtaking pace, this debate should be revisited. Contributors to this volume happily took on this challenge and responded with new approaches to the debate from both the explicit and the implicit epistemic point of view.