Banner Portal
LOGIC, PARTIAL ORDERS AND TOPOLOGY
PDF (Português (Brasil))

Palabras clave

Kripke structures. Partial orders. Topological ultrafilters. Generalized ultraproducts

Cómo citar

MARIANO, Hugo; MIRAGLIA, Francisco. LOGIC, PARTIAL ORDERS AND TOPOLOGY. Manuscrito: Revista Internacional de Filosofía, Campinas, SP, v. 28, n. 2, p. 449–545, 2016. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8643895. Acesso em: 16 ago. 2024.

Resumen

We give a version of L´os’ ultraproduct result for forcing in Kripke structures in a first-order language with equality and discuss ultrafilters in a topology naturally associated to a partial order. The presentation also includes background material so as to make the exposition accessible to those whose main interest is Computer Science, Artificial Intelligence and/or Philosophy.
PDF (Português (Brasil))

Citas

BALBES, R., DWINGER, Ph. Distributive Lattices. Columbia, Missouri:

University of Missouri Press, 1974.

BRUNNER, A. O M´etodo das Constantes para Feixes sobre uma Algebra de Heyting Completa. PhD thesis. São Paulo: University of São Paulo, May 2000.

BELL, J., SLOMSON, A. Models and Ultraproducts: an Introduction.

Amsterdam: North Holland Publ. Co, 1971.

BUSHAW, D. Elements of General Topology. New York: John Wiley and Sons, 1963.

CHANG, C.C., KEISLER, H.J. Model Theory. Amsterdam: North Holland Publ. Co., 1990 (third edition).

ELLERMAN, D.P. “Sheaves of Structures and Generalized Ultraproducts”’.

Annals of Pure and Applied Logic, 7, pp. 165-195, 1974.

ENGELKING, R. General Topology. Sigma Series in Pure Mathematics,

(revised and completed edition). Berlin: Helderman Verlag, 1989.

FEFERMAN, S., VAUGHT, R. “First Order Properties of Products of Algebraic Systems”. Fund. Math., 47, pp. 57-103, 1959.

FITTING, M.C. Intuitionistic Logic, Model Theory and Forcing. Amsterdam:

North-Holland Publ. Co., 1969.

FOURMAN, M., SCOTT, D.S. “Sheaves and Logic”. In: M. Fourman, C.J. Mulvey, D.S. Scott, Applications of Sheaves (eds.). Lecture Notes in Mathematics, 753. Berlin: Springer Verlag, pp. 302-401, 1979.

HODGES, W. Model Theory. Encyclopedia Of Mathematics and its Applications, 42. Cambridge: Cambridge University Press, 1993. Repr.

in 1997.

KELLEY, J.L. General Topology. New York: Van Nostrand Reinhold Publ. Co., 1955.

KLEENE, S.C. Mathematical Logic. New York: John Wiley and Sons, Inc., 1967.

KLEENE, S.C. Introduction to Metamathematics. Amsterdam: orthHolland and Noordhoff, 1952.

KLEENE, S.C., VESLEY, R.E. The Foundations of Intuitionistic Mathematics. Amsterdam: North-Holland Publ. Co., 1965.

KUNEN, K. Set Theory: An Introduction to Independence Proofs. Amsterdam: North Holland Publ. Co., 1980. Studies in Logic Series, vol.

LEVY, A. Basic Set Theory. Berlin: Springer-Verlag, 1990.

MIRAGLIA, F. “The Downward Lowenheim-Skolem Theorem for structures in Ω-sets”. Contemporary Math., 69, AMS, 1988.

MIRAGLIA, F. An Introduction to Partially Ordered Structures and

Sheaves. Milan: Polimetrica Scientific Editors, 2006.

MIRAGLIA, F. Teoria dos Conjuntos: um m´ınimo. São Paulo: EDUSP, 1990.

PRAWITZ, D. Natural Deduction. Stockholm: Almqvist and Wiksell, 1965.

RASIOWA, H., SIKORSKI, R. The Mathematics of Metamathematics.

Polish Academy of Science Publications, vol. 41, second edition, Warsaw, 1968.

Descargas

Los datos de descargas todavía no están disponibles.