in die operative Logik und Mathematik Zweite Auflage Springer-Verlag Berlin Heidelberg New York 1969 Paul Lorenzen o. Prof. der Philosophie an der Universitat Erlangen Geschaftsfilhrende Herausgeber: Prof. Dr. B. Eckmann Eidgenossische Technische Hochschule Zurich Prof. Dr. B. L. van cler Waerclen Mathematisches Institut der Universitat ZUrich ISBN 978-3-642-86519-0 ISBN 978-3-642-86518-3 (eBook) DOl 10.1007/978-3-642-86518-3 Aile Rechte vorbehalten. Kein Teil dieses Buches darf ohne schriftliche Genehmigung des Springer-Verlages ubersetzt oder in irgendeiner Form vervielfaltigt werden © by Springer-Verlag Berlin· Heidelberg 1955 und (...) 1969 Softcover reprint of the hardcover 2nd edition 1969 Library of Congress Catalog Card Number 73-76724 Titel-Nr. 5061 Vorwort zur zweiten Auflage. Fiir die Neuauflage ist der Text nur unwesentlich geandert worden. Es ist - neben der Korrektur einiger Ungenauigkeiten - vor allem die Terminologie und Symbolik an meine spateren Arbeiten angeglichen. Obwohl ich - verstandlicherweise - jetzt die Ansatze der spateren Arbeiten fiir "sachgemaBer" halte, z. B. eine Logik der Dialoge statt einer Logik der Kalkiile, die Verwendung indefiniter Quantoren statt einer expliziten Konstruktion von Sprachschichten, enthalt diese Neu­ auflage den Inhalt der 1. Auflage unverandert. Der Leser kann also einen Vergleich mit meinen spateren Arbeiten (vgl. Literaturverzeichnis) seIber durchfiihren. Mein Dank gilt wiederum dem Verlag fiir seine entgegenkommende Mitarbeit bei der Vorbereitung dieser Neuauflage. Erlangen, den 1. November I968. PAUL LORENZEN. Vorwort zur ersten Auflage. (shrink)

The words ‘logic’ and ‘grammar’ are understood by all of us to refer to quite intricate doctrines, investigations, etc., which are presented in books which have been written in the past and which continue to be written in the present time.

Bd. 1. Spezielle Wissenschaftstheorie.--Bd. 2. Allgemeine Wissenschaftstheorie.

ONE Methodical Thinking Motto: When we teach men how to think, instead of what to think, then we also reduce misunderstanding. ...

“Logic and Agon” is the text of a lecture given in Rome in 1958 by the German philosopher and mathematician Paul Lorenzen. In this inaugural text are laid the foundations of the dialogic logic, which represents an alternative approach to the question of meaning and logical truth, based on a dynamic formalism. Through the enrichment of the standard approach to logic with original tools, it allows a philosophical explanation of the foundations of the concept of formal validity. Clément Lion (...) proposes an unpublished French translation of this text as well as a presentation, in which he tries to show that the initial ambition of Paul Lorenzen was not so much to propose a new logical formalism as to question in principle any enterprise based on the use of such a formalism. (shrink)

"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. (shrink)

Presents for the first time in English, this 1967 text which came to be known as the 'bible' of a new movement in German philosophy of language, the 'Erlanger School.' This school of linguistic philosophy's treatment of language is rooted in the tradition of transcendentalism, and bases its system on Kant and his Continental successors. For the Erlanger School, 'language is not just a fact we discover...but a human cultural accomplishment whose construction reason can and should be controlled.' An influential (...) work which will be a valuable resource for students of philosophy, particularly philosophy of language and transcendentalism. (shrink)