From Antinomies of Formal Logic (1921)* by Leon Chwistek
When Bertrand Russell published his theory of logical types,1 it might have appeared that the difficulties which had since ancient times been inherent in the foundations of logic were finally resolved. Nevertheless some additional assumptions of Russell's theory, known collectively as the principle of reducibility, could have at once inspired a certain distrust in view of their utterly arbitrary character. (Etc.) Henri Poincaré, the first critic of the theory of types, spoke against the axiom of reducibility, making the objection that Russell introduced a synthetic a priori statement into the axioms of logic.2 A few years later I drew attention to some paradoxical consequences which follow from the acceptance of the axiom of reducibility.3 (Etc.)
From Geschichte der Logik, 1931 by Heinrich Scholz
[..] Poland has lately become the main country and Warsaw the main bastion of research in symbolic logic by virtue of the work of Jan Łukasiewicz. We can only refer to the pertinent treatises . . . in the Fundamenta Mathematicae of which volume 16 appeared in Warszawa during 1930. They all are geared to undergirding the foundations of mathematics. Also Leon Chwistek: The Theory of Constructive Types, Principles of Logic and Mathematics (Cracow, University Press, 1925) must at least be alluded to.
From A NON-ARISTOTELIAN SYSTEM (etc), 1931 by Alfred Korzybski
" Here we find the main importance of the semantic fact established by Skarzenski,** that the 'logical' freedom from contradiction becomes a semantic problem of one-value. "
From The Nature of Mathematics, 1933 by Max Black
A critical survey of Principia Mathematica and allied views on the nature of mathematics, with supplementary accounts of the Formalist and Intuitionist doctrines. The contributions of Chwistek, Ramsey, Wittgenstein, Weyl, and others to logistic theory are described and considered . . (etc).
From SCIENCE AND SANITY, 1933 by Alfred Korzybski
" The term 'semantic' is derived from the Greek Semantikos, 'significant', from Semainein 'to signify', 'to mean', and was introduced into literature by Michel Bréal in his Essai de Sémantique. The term has been variously used in a more or less general or restricted sense by different writers. Of late, this term has been used by the Polish School of Mathematicians, and particularly L. Chwistek (See Supplement III), A. F. Bentley, and has been given a medical application by Henry Head in the study of different forms of Aphasias. 'Aphasia', from the Greek aphasia, 'speechlessness', is used to describe disorders incomprehension or expression of written and spoken language (etc). (pp. 19-20)
100. CHWISTEK, L. Wielosc Rzeczywistosci, Kraków.
From Mathematical Logic in Poland, etc. 1944 by Zbigniew Jordan
While I am writing these words Chwistek's tall and bulky figure still floats before my eyes. He was full of fun, eager to discuss for hours as well as enjoy life, and he knew perfectly how to do it. . . . he possessed some qualities lending themselves to legend. The younger of us used to refer to him as 'this Renaissance man', (etc). He did not shun the limelight, nor avoid a fight whenever his pugnacious spirits saw an opportunity for it. Numberless anecdotes were told about him. When he was a young man, says one of them, he was asked by his mother what he would like to do. He replied that he was anxious to become a painter. But his mother thought that besides being a painter he must have a profession to secure his living. Chwistek was reported to have agreed with his mother's opinion and to be anxious to act in accordance with her wishes. Consequently he matriculated to read mathematics.
Author Chwistek, Leon, 1884-1944. Title Zagadnienia kultury duchowej w Polsce. Publisher Warszawa, Gebethner i Wolff, 1933. Description 206 p.
Page created 7 April 2004
Last updated 27 August 2004
W. Paul Tabaka