Srzednicki / Stachniak Lesniewski’s Systems Protothetic

1998
ISBN: 978-94-011-5736-0
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 54, 310 Seiten, eBook

Reihe: Nijhoff International Philosophy Series

Between the two world wars, Stanislaw Lesniewski (1886-1939), created the famous and important system of foundations of mathematics that comprises three deductive theories: Protothetic, Ontology, and Mereology.
His research started in 1914 with studies on the general theory of sets (later named `Mereology'). Ontology followed between 1919 and 1921, and was the next step towards an integrated system. In order to combine these two systematically he constructed Protothetic - the system of `first principles'. Together they amount to what Z. Jordan called `... most thorough, original, and philosophically significant attempt to provide a logically secure foundation for the whole of mathematics'.
The volume collects many of the most significant commentaries on, and contributions to, Protothetic. A Protothetic Bibliography is included.

Zielgruppe

Research

Autoren/Hrsg.

Srzednicki, Jan J.T.

Stachniak, Z.

Inhaltsverzeichnis

Editor's Foreword. I. Nominalism in Poland; P.M. Simons. II. A Survey of Lesniewski's Logic; F.V. Rickey. III. On the Primitive Term of Logistic; A. Tarski. IV. An Investigation of Protothetic; B. Sobocinski. V. St. Lesniewski's Protothetics; J. Slupecki. VI. On the Single Axioms of Protothetic; B. Sobocinski. VII. Axiomatic Inscriptional Syntax. Part II: The Syntax of Protothetic; F.V. Rickey. VIII. Investigations in Protothetic; A. Le Blanc. Protothetic Bibliography.