Lesniewski's Systems Protothetic

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.

List of contents

I.Nominalism in Poland.- II. A Survey of Le?niewski's Logic.- III. On the Primitive Term of Logistic.- IV. An Investigation of Protothetic.- V. St. Le?niewski's Protothetics.- VI. On the Single Axioms of Protothetic.- VII. Axiomatic Inscriptional Syntax.Part II: The Syntax of Protothetic.- VIII. Investigations in Protothetic.- Protothetic Bibliography.- Author Index.

Summary

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. In order to combine these two systematically he constructed Protothetic - the system of `first principles'.

Product details

• Assisted by: Ja J T Srzednicki (Editor), Jan J T Srzednicki (Editor), J. Srzednicki (Editor), Jan J. T. Srzednicki (Editor), Jan T. J. Srzednicki (Editor), Stachniak (Editor), Stachniak (Editor), Z. Stachniak (Editor), Zbigniew Stachniak (Editor)
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 26.06.2009
• EAN: 9780792345046
• ISBN: 978-0-7923-4504-6
• No. of pages: 310
• Weight: 644 g
• Illustrations: XVI, 310 p.
• Series: Nijhoff International Philosophy Series; Nijhoff International Philosophy Series
• Subjects: Humanities, art, music > Philosophy > General, dictionaries; Non-fiction book > Philosophy, religion > Philosophy: general, reference works