Notes on the geometry of logic and philosophy
DOI:
https://doi.org/10.12775/LLP.2002.014Abstract
The paper is concerned with topological and geometrical characteristics of ultrafilter space which is widely employed in mathematical logic. Some philosophical applications (modal realism, theory of truth) are offered together with visulisations that reveal the beauty of logical constructions.References
Arkhangel’skii, A.V. , and L.S. Pontryagin, General Topology I, Encyclopaedia of Mathematical Sciences, vol. 17, Springer-Verlag 1990.
McKinsey, J.C.C., and A. Tarski, “The algebra of topology”, Annals of Mathematics 45 (1944), 141–191.
Poizat, B., A Course in Model Theory. An Introduction to Contemporary Mathematical Logic, Universitext, Springer-Verlag 2000.
Rasiowa, H., R. Sikorski, The Mathematics of Metamathematics, PWN, Warszawa 1970.
Rieger, L., Algebraic Methods of Mathematical Logic, Academia, Prague 1967.
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2004-01-19
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WOLSKI, Marcin. Notes on the geometry of logic and philosophy. Logic and Logical Philosophy. Online. 19 January 2004. Vol. 10, no. 10, p. 223–232. [Accessed 21 September 2024]. DOI 10.12775/LLP.2002.014.
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