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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
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