Skip to main content Skip to main navigation menu Skip to site footer
  • Register
  • Login
  • Language
    • English
    • Język Polski
  • Menu
  • Home
  • Current
  • Archives
  • Online First Articles
  • About
    • About the Journal
    • Submissions
    • Editorial Team
    • Advisory Board
    • Peer Review Process
    • Logic and Logical Philosophy Committee
    • Open Access Policy
    • Privacy Statement
    • Contact
  • Register
  • Login
  • Language:
  • English
  • Język Polski

Logic and Logical Philosophy

Topological aspects of combinatorial possibility
  • Home
  • /
  • Topological aspects of combinatorial possibility
  1. Home /
  2. Archives /
  3. No. 5 (1997) /
  4. Articles

Topological aspects of combinatorial possibility

Authors

  • Thomas Mormann Universität Müchen

DOI:

https://doi.org/10.12775/LLP.1997.006

Abstract

The aim of this paper is to show that topology has a bearing on combinatorial theories of possibility. The approach developed in this article is “mapping account” considering combinatorial worlds as mappings from individuals to properties. Topological structures are used to define constraints on the mappings thereby characterizing the “really possible” combinations. The mapping approach avoids the well-known incompatibility problems. Moreover, it is compatible with atomistic as well as with non-atomistic ontologies. It helps to elucidate the positions of logical atomism and monism with the aid of topological separation axioms.

References

Armstrong, D. M., A Combinatorial Theory of Possibility, Cambridge, Cambridge University Press, 1989.

Bigelow, J. C., “Real possibilities”, Philosophical Studies 53 (1988), 37–64.

Bradley, R., The Nature of All Being. A Study of Wittgenstein’s Modal Atomism, Oxford, Oxford University Press, 1992.

Davey, B. A., and H. A. Priestley, Introduction to Lattices and Order, Cambridge, Cambridge University Press, 1990.

Gärdenfors, P., “Induction, conceptual spaces, and AI”, Philosophy Of Science 57 (1990), 78–95.

Grosholz, E., “Two episodes in the unification of logic and topology”, The British Journal of Philosophy of Science 36 (1985), 147–57.

Jech, Th., Set Theory, New York, Academic Press, 1978.

Loux, M. J., (ed.), The possible and the actual, Readings in the Metaphysics of Modality, Ithaca, Cornell University Press, 1979.

Lycan, W., “The trouble with possible worlds”, in M. J. Loux (ed.) The Possible and the Actual, 274–316, 1979.

Mac Lane, S., and I. Moerdijk, Sheaves in Geometry and Logic, New York, Springer, 1992.

Mormann, T., “Structural accessibility and similarity of possible worlds”, Journal of Philosophical Logic 21 (1992), 149–172.

Mormann, T., “Natural predicates and topological structures of conceptual spaces”, Synthese 95 (1993), 219–240.

Mormann, T., “Accessibility, kinds, and laws: a structural explication”, Philosophy of Science 61 (1994), 389–406.

Russell, B., The Philosophy of Logical Atomism, edited by D. Pears, Open Court.

Skyrms, B., “Tractarian nominalism”, Philosophical Studies 40 (1981), 199–206.

Skyrms, B., “Logical atoms and combinatorial possibility”, The Journal of Philosophy 95 (1993), 219–232.

Steen, L. A., and J. A. Seebach, Counterexamples in Topology, Springer Verlag, New York, 1978.

Vickers, St., Topology via Logic, Cambridge University Press, Cambrigde, 1989.

Downloads

  • PDF

Published

2003-10-27

How to Cite

1.
MORMANN, Thomas. Topological aspects of combinatorial possibility. Logic and Logical Philosophy. Online. 27 October 2003. Vol. 5, no. 5, pp. 75-92. [Accessed 5 July 2025]. DOI 10.12775/LLP.1997.006.
  • ISO 690
  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver
Download Citation
  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Issue

No. 5 (1997)

Section

Articles

Stats

Number of views and downloads: 704
Number of citations: 0

Crossref
Scopus
Google Scholar
Europe PMC

Search

Search

Browse

  • Browse Author Index
  • Issue archive

User

User

Current Issue

  • Atom logo
  • RSS2 logo
  • RSS1 logo

Information

  • For Readers
  • For Authors
  • For Librarians

Newsletter

Subscribe Unsubscribe

Language

  • English
  • Język Polski
Up

Akademicka Platforma Czasopism

Najlepsze czasopisma naukowe i akademickie w jednym miejscu

apcz.umk.pl

Partners

  • Akademia Ignatianum w Krakowie
  • Akademickie Towarzystwo Andragogiczne
  • Fundacja Copernicus na rzecz Rozwoju Badań Naukowych
  • Instytut Historii im. Tadeusza Manteuffla Polskiej Akademii Nauk
  • Instytut Kultur Śródziemnomorskich i Orientalnych PAN
  • Instytut Tomistyczny
  • Karmelitański Instytut Duchowości w Krakowie
  • Ministerstwo Kultury i Dziedzictwa Narodowego
  • Państwowa Akademia Nauk Stosowanych w Krośnie
  • Państwowa Akademia Nauk Stosowanych we Włocławku
  • Państwowa Wyższa Szkoła Zawodowa im. Stanisława Pigonia w Krośnie
  • Polska Fundacja Przemysłu Kosmicznego
  • Polskie Towarzystwo Ekonomiczne
  • Polskie Towarzystwo Ludoznawcze
  • Towarzystwo Miłośników Torunia
  • Towarzystwo Naukowe w Toruniu
  • Uniwersytet im. Adama Mickiewicza w Poznaniu
  • Uniwersytet Komisji Edukacji Narodowej w Krakowie
  • Uniwersytet Mikołaja Kopernika
  • Uniwersytet w Białymstoku
  • Uniwersytet Warszawski
  • Wojewódzka Biblioteka Publiczna - Książnica Kopernikańska
  • Wyższe Seminarium Duchowne w Pelplinie / Wydawnictwo Diecezjalne „Bernardinum" w Pelplinie

© 2021- Nicolaus Copernicus University Accessibility statement Shop