Abstract
This paper is compiled from articles of members of the Prague seminar on set theory. The first section is P.Vopěnka’s lecture at the occasion of Bolzano’s commemoration, Topological Symposium 1981, Prague; the second one was published in [So 1] and the third section is a part of the appendix of [v’]. For the last section we selected from many papers a series of mathematical results reached in the alternative set theory and the articles in question are cited in that section.
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References
Bolzano, B.: 1851,‘Paradoxien des Unendlichen’, Leipzig.
Čuda, K.: 1980, ‘An elimination of infinitely small quantities and infinitely large numbers’, CMUC 21, 433–445.
Čuda, K. and P. Vopěnka: 1979,‘Real and imaginary classes in the alternative set theory’, CMUC 20, 639–653.
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Pudlák,P. and A. Sochor: ‘Models of the alternative set theory’,to appear.
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Sochor, A.: 1982, ‘Metamathematics of the alternative set theoryII’, CMUC 23, 55–79.
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Sochor, A.: 1979, ‘Some remarks to the connection between the alternative set theory and nonstandard methods’, Proceedings of Frege-Conference, Jena, 458–467.
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Sochor, A. and P. Vopěnka: 1981, ‘The axiom of reflection’, CMUC 22, 87–111.
Sochor, A. and P. Vopěnka: 1981, ‘Ultrafilters of sets’, CMUC 22, 689–699.
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Vopěnka, P.: ‘Mathematics in the alternative set theory’, Russian translation, to appear.
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© 1984 D. Reidel Publishing Company
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Sochor, A. (1984). The Alternative Set Theory and its Approach to Cantor’s Set Theory. In: Skala, H.J., Termini, S., Trillas, E. (eds) Aspects of Vagueness. Theory and Decision Library, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6309-2_10
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