Leon Chwistek, The Principles of the Pure Type Theory (1922), translated by Adam Trybus with an Introductory Note by Bernard Linsky
History and Philosophy of Logic 33 (4):329-352 (2012)
| Abstract | ?The Principles of the Pure Type Theory? is a translation of Leon Chwistek's 1922 paper ?Zasady czystej teorii typów?. It summarizes Chwistek's results from a series of studies of the logic of Whitehead and Russell's Principia Mathematica which were published between 1912 and 1924. Chwistek's main argument involves a criticism of the axiom of reducibility. Moreover, ?The Principles of the Pure Type Theory? is a source for Chwistek's views on an issue in Whitehead and Russell's ?no-class theory of classes? involving the notion of ?scope? | |||||||||
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Bernard Linsky (2004). Leon Chwistek on the No-Classes Theory inPrincipia Mathematica. History and Philosophy of Logic 25 (1):53-71.
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Karol Cirobak (forthcoming). Leon Chwistek: in memoriam (1884-1944). Estetyka I Krytyka (5):168-173.
Karol Chrobak (2011). Leon Chwistek o relacyjności i dynamice pojęcia rzeczywistości. Studia Philosophica Wratislaviensia:111-122.
Leon Chwistek (1969). Sur l'Axiome de Zermelo Et Son Rôle Dans Les Mathématiques Contemporaines. Studia Logica 24 (1).
Gregory Landini (1987). Russell's Substitutional Theory of Classes and Relations. History and Philosophy of Logic 8 (2):171-200.
Bart Jacobs (1989). The Inconsistency of Higher Order Extensions of Martin-Löf's Type Theory. Journal of Philosophical Logic 18 (4):399 - 422.
I. Grattan-Guinness (1984). Notes on the Fate of Logicism Fromprincipia Mathematicato Gödel's Incompletability Theorem. History and Philosophy of Logic 5 (1):67-78.
Twan Laan & Rob Nederpelt (1996). A Modern Elaboration of the Ramified Theory of Types. Studia Logica 57 (2-3):243 - 278.
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