Abstract. In this paper I offer a conceptually tighter, quasi-Fregean solution to the
concept horse paradox based on the idea that the unterfallen relation is
asymmetrical. The solution is conceptually tighter in the sense that it retains the
Fregean principle of separating sharply between concepts and objects, it retains
Frege’s conclusion that the sentence ‘the concept horse is not a concept’ is true,
but does not violate our intuitions on the matter. The solution is only ‘quasi’-
Fregean in the sense that it rejects Frege’s claims about the ontological import of
natural language and his analysis thereof.
Keywords: concept, object, unterfallen, history of analytic philosophy.
Davidson, D. (1974). Thought and Talk. Reprinted in Inquiries into Truth and Interpretation (1984), Oxford University Press.
Fine, K. (2007). Semantic Relationism. Blackwell Publishing.
Fisk, M. (1968). A Paradox in Frege’s Semantics. In E.D. Klemke
(ed.), Essays on Frege, University of Illinois Press.
Frege, G. (1960). Translation from the Philosophical Writings of Gottlob
Frege. Edited by Peter Geach and Max Black, Basil Blackwell.
Frege, G. (1953). The Foundations of Arithmetic. Translated by J.L.
Austin, Basil Blackwell;
Frege, G. (1967). Concept Script. Translated by Stefan Bauer-Mengelberg,
in Jean Van Heijenoort, ed., From Frege to Gödel: A Source Book
in Mathematical Logic, 1879-1931, Harvard University Press.
Parsons, T. (1986). Why Frege should not have said ‘The concept
horse is not a concept’. History of Philosophy Quarterly,
3 (4):449– 465.
Slater, H. (2000). Concept and Object in Frege. Online version at
Wright, C. (1983). Frege’s Conception of Numbers as Objects. Aberdeen
Wells, R.S. (1951). Frege’s Ontology. Review of Metaphysics