Content recarving as subject matter restriction
Palavras-chave:Abstraction principles, Content recarving, Subject matter.
In this article I offer an explicating interpretation of the procedure of content recarving as described by Frege in §64 of the Foundations of Arithmetic. I argue that the procedure of content recarving may be interpreted as an operation that while restricting the subject matter of a sentence, performs a generalization on what the sentence says about its subject matter. The characterization of the recarving operation is given in the setting of Yablo’s theory of subject matter and it is based on the relation of determination between properties. The main advantage of the proposal is its generality, for it is applicable not just to the case of abstraction principles.
DUMMETT, M. Frege, Philosophy of Mathematics. Duckwell, 1991.
FREGE, G. Foundations of Arithmetic. Routledge, 1950.
FREGE, G., GEACH, P. T., and BLACK, M. On Concept and Object. Mind, 60(238):168–180, 1951.
GOODMAN, N. About. Mind, 70:1, 1961.
HALE, B. Grundlagen § 64. Proceedings of the Aristotelian Society, 97(3):243– 261, 1997.
JOHNSON, W. E. Logic, Part 1. Cambridge University Press, 2014.
KÖRNER, S. and SEARLE, J. On Determinables and Resemblance. Aristotelian Society Supplementary Volume, 33(1):125–158, 1959.
LEWIS, D. Statements Partly About Observation Philosophical Papers, 17(1):1–31, 1988.
POTTER, M. and SMILEY, T. Abstraction by Recarving. Proceedings of the Aristotelian Society, 101(3):327–338, 2001.
PRIOR, A. N. Determinables, Determinates and Determinants (ii). Mind, 58(230):178–194, 1949.
RICKETTS, T. and POTTER, M. The Cambridge Companion to Frege. Cambridge University Press, 2010.
RYLE, G. ’About’. Analysis, 1(1):10–12, 1933.
YABLO, S. Mental Causation. Philosophical Review, 101(2):245–280, 1992.
YABLO, S. Carving the Content at its Joints. Canadian Journal of Philosophy, 38. pp.145-177, 2008.
YABLO, S. Aboutness. Princeton University Press, 2014.