Trope sheaves. A topological ontology of tropes

Thomas Mormann



In this paper I want to show that topology has a bearing on the theory of tropes. More precisely, I propose a topological ontology of tropes. This is to be understood as follows: trope ontology is a „one-category”-ontology countenancing only one kind of basic entities, to wit, tropes. 1 Hence, individuals, properties, relations, etc. are to be constructed from tropes.

Full Text:



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

D. M. Armstrong, 1989a, Universals. An Opinionated Introduction, Boulder, West-view Press.

J. Bacon, 1987, „Four Modal Modellings”, Journal of Philosophical Logic 17, 91–114.

J. Bacon, 1989, „A Single Primitive Trope Relation”, Journal of Philosophical Logic 18, 141–157.

M. C. LaBossiere, 1994, „Substances and Substrata”, Australasian Journal of Philosophy 72, 360–370.

K. Campbell, 1981, „The Metaphysics of Abstract Particulars”, Midwest Studies in Philosophy VI, 477–488.

R. Carnap, 1923, „Die Quasizerlegung, Ein Verfahren zur Ordnung nichthomogener Mengen mit den Mitteln der Beziehungslehre”, Unpublished Manuscript, RC-081-04-01, University of Pittsburgh.

K. Campbell, 1990, Abstract Particulars, Oxford: Blackwell.

Fuhrmann, 1991, „Tropes and Laws”, Philosophical Studies 69, 57–82.

D. Lewis, 1986, Counterfactuals, Oxford, Basil Blackwell.

S. MacLane, I. Moerdijk, 1992, Sheaves in Geometry and Logic. A First Introduction to Topos Theory, New York: Springer.

T. Mormann, 1994, „A Representational Reconstruction of Carnap’s Quasianalysis”, PSA 1994, vol. 1, 96–104.

L. B. Puntel, 1993, „The Context Principle, Universals, and Primary States of Affairs”, American Philosophical Quarterly 30, 123–135.

F. P. Ramsey, 1990, „Universals”, [in:] Philosophical Papers, ed. by D. H. Mellors, Cambridge: Cambridge University Press, 8–30.

P. Simons, 1994, „Particulars in a Particular Clothing: Three Trope Theories of Substance”, Philosophy and Phenomenological Research 54, 553–575.

B. R. Tennison, 1975, Sheaf Theory, Cambridge, Cambridge University Press.

J. van Cleve, 1994, „Predication without Universals? A Fling with Ostrich Nominalism”, Philosophy and Phenomenological Research 54, 577–590.

ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

Partnerzy platformy czasopism