Le¿niewski's Systems Protothetic

1998
ISBN: 978-94-010-6419-4
Verlag: Springer Netherlands

Buch, Englisch, Band 54, 310 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 505 g

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.

Stachniak, Z.

Srzednicki, Jan J.T.

Fachgebiete

• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

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.