First published in 1937. Routledge is an imprint of Taylor & Francis, an informa company.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

In this compact volume the author gives a sprightly introduction to modern symbolic logic, at no time side-stepping philosophical problems concerning the nature of formal logic. The first chapter is a brief comparison of traditional syllogistic logic and modern "logistic"; the next three chapters deal with the nature of logic as illustrated through various elementary logical systems: logic as ontology, logic as theory of language, logic as methodology of deductive sciences. Hasenjaeger then examines richer systems—many-sorted, those with definite descriptors, etc.—and (...) then the paradoxes. A chapter follows concerning logic developed in a combinatory style and its connections with the idea of a generative theory of formal structures—structures as calculi of concepts. The last chapter discusses formal logic as a branch of probability theory and inductive logic. This well-presented book would serve well in a study of the philosophy of mathematics and logic.—P. J. M. (shrink)

This paper presents the history of the first German lectureship for mathematical logic based on a ministerial commission, to which the Göttingen mathematician Ernst Zermelo was appointed in 1907. The lectureship is shown as imbedded in the intellectual history of mathematical logic which was at that time determined by the discussion of the set theoretical and logical paradoxes. Although Zermelo's early set theoretic papers can be regarded, and were in fact regarded in the Göttingen mathematicians' application for the lectureship, as (...) contributions to mathematical logic, the close connection between set theory and logic was at that time not evident. It is shown, however, that such “internal” motives were not the only reasons for proposing the lectureship, since the application was also highly influenced by personal and institutional factors and the attempt to find a paid position for Zermelo at the University of Göttingen. In addition, Zermelo's lectureship is presented in the context of the history of academic teaching in mathematical and symbolic logic with an overview of German lecture courses in this topic in the period between 1830 and 1915. The results are correlated with the reception of George Boole's algebra of logic and other symbolic logical systems in Germany at that time. Zermelo's lectureship is regarded as the first step towards an institutionalization of mathematical logic as a subdiscipline of mathematics. This step is interpreted by critically applying the results of Hubert Laitko's and Martin Guntau's considerations on the genesis of scientific disciplines. (shrink)

Keine ausführliche Beschreibung für "Die Konzeption einer Metaphysik im Denken von Heinrich Scholz" verfügbar.