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The Theory of Semisets
Amsterdam, Netherlands and London, England: North Holland (1972)
Abstract
Publikace se zabývá teorií polomnožin, což je nová matematická teorie, která rozšiřuje teorii množin o nové imaginární množiny, tzv. polomnožiny. Toto rozšíření je podobného druhu jako čísla komplexní rozšiřují čísla reálná. Vknize je tato teorie podrobně rozbírána a navíc jsou zde obsaženy všechny nejzávažnější výsledky axiomatické teorie množin, ke kterým se během studia dospělo.Other Versions
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Review: Petr Vopenka, Petr Hajek, The Theory of Semisets. [REVIEW]Azriel Levy - 1984 - Journal of Symbolic Logic 49 (4):1422-1423.
Contributions to the Theory of Semisets IV.Petr Štêpánek - 1974 - Mathematical Logic Quarterly 20 (23-24):373-384.
Contributions to the Theory of Semisets II. The theory of semisets and end‐extensions in a syntactic setting.Josef Mlček & Antonín Sochor - 1972 - Mathematical Logic Quarterly 18 (25‐30):407-417.
Contributions to the Theory of Semisets I. Relations of the theory of semisets to the Zermelo‐Fraenkel set theory.Petr Hájek - 1972 - Mathematical Logic Quarterly 18 (16‐18):241-248.
Contributions to the Theory of Semisets IV.Petr Štêpánek - 1974 - Mathematical Logic Quarterly 20 (23‐24):373-384.
Contributions to the theory of semisets: III absolute sets, absolute equivalence and iterations of class‐mappings in the theory of semisets.Karel Čuda - 1973 - Mathematical Logic Quarterly 19 (26‐29):399-406.
Vopěnka Petr and Hájek Petr. The theory of semisets. Studies in logic and the foundations of mathematics, vol. 70. North-Holland Publishing Company, Amsterdam and London, and Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, 1972, 332 pp. [REVIEW]Azriel Levy - 1984 - Journal of Symbolic Logic 49 (4):1422-1423.
Contributions to the theory of semisets V: On the axiom of general collapse.Petr Vopênka & Antonín Sochor - 1975 - Mathematical Logic Quarterly 21 (1):289-302.
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Citations of this work
Sets, classes and extensions: A singularity approach to Russell's paradox.K. Simmons - 2000 - Philosophical Studies 100 (2):109-149.
Infinity and continuum in the alternative set theory.Kateřina Trlifajová - 2021 - European Journal for Philosophy of Science 12 (1):1-23.
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