Lesniewski's Systems Protothetic

Lesniewski's Systems Protothetic

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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.
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Product details

  • Hardback | 310 pages
  • 160 x 233.7 x 25.4mm | 589.68g
  • Dordrecht, Netherlands
  • English
  • 1998 ed.
  • XVI, 310 p.
  • 0792345045
  • 9780792345046

Table of contents

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.
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