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.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 24 mm
Gewicht
ISBN-13
978-0-7923-4504-6 (9780792345046)
DOI
10.1007/978-94-011-5736-0
Schweitzer Klassifikation
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.