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Abstract

This chapter is devoted to the alternative set theory, founded by Petr Vopčnka, which is the main theoretical frame of AML. This theory is not commonly known and, therefore, we attempt to explain it in greater detail. Of course, our explanation is motivated by the needs of AML and, thus, we present an extract which by no means covers the whole of AST. We concentrate mainly on the philosophical aspects which, in our opinion, justify AST serving as a basis for the modeling of natural language semantics. On the other hand, we also present the mathematics including some of the proofs of the theorems used later to enable the reader to get acquainted with the theory more closely.

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© 1992 Springer Science+Business Media New York

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Novák, V. (1992). The Alternative Set Theory. In: The Alternative Mathematical Model of Linguistic Semantics and Pragmatics. International Federation for Systems Research International Series on Systems Science and Engineering, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2317-2_2

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  • DOI: https://doi.org/10.1007/978-1-4899-2317-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2319-6

  • Online ISBN: 978-1-4899-2317-2

  • eBook Packages: Springer Book Archive

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