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Alternative Set Theory

AST

  • Reference work entry
Book cover Encyclopedia of Optimization

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Article Outline

Keywords

Classes, Sets and Semisets

Infinity

Axiomatic System of AST

Rational and Real Numbers

Infinitesimal Calculus

Topology

  Basic Definitions

Motion

Utility Theory

Conclusion

See also

References

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References

  1. Mlček J (1979) Valuation of structures. Comment Math Univ Carolinae 20:681–695

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  2. Mlček J (1985) Some automorphisms of natural numbers in AST. Comment Math Univ Carolinae 26:467–475

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  3. Sochor A (1992) Metamathematics of AST. From the logical point of view 1:61–75

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  4. Sochor A, Pudlák P (1984) Models of AST. J Symbolic Logic 49:570–585

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  5. Sochor A, Vopěnka P (1979) Endomorfic universes and their standard extensions. Comm Math Univ Carolinae 20:605–629

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  6. Sochor A, Vopěnka P (1981) Ultrafilters of sets. Comment Math Univ Carolinae 22:698–699

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  7. Trlifajová K, Vopěnka P (1985) Utility theory in AST. Comment Math Univ Carolinae 26:699–711

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  8. Čuda K (1986) The consistency of measurability of projective semisets. Comment Math Univ Carolinae 27:103–121

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  9. Čuda K, Sochor A, Vopěnka P, Zlatoš P (1989) Guide to AST. Proc. First Symp. Mathematics in AST, Assoc. Slovak Mathematicians and Physicists, Bratislava

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  10. Vopénka P (1979) Mathematics in AST. Teubner, Leipzig

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  11. Vopénka P (1989) Introduction to mathematics in AST. Alfa Bratislava, Bratislava

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  12. Vopénka P (1996) Calculus infinitesimalis-pars prima. Práh Praha, Praha

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Author information

Authors and Affiliations

  1. Charles University, Prague, Czech Republic

    Petr Vopěnka & Kateřina Trlifajová

Authors
  1. Petr Vopěnka
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  2. Kateřina Trlifajová
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Vopěnka, P., Trlifajová, K. (2008). Alternative Set Theory . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_12

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