Phenomenological Reviews

Series | Book | Chapter

182094

Frege's context principle and reference to natural numbers

Øystein Linnebo

pp. 47-68

Abstract

Frege proposed that his Context Principle—which says that a word has meaning only in the context of a proposition—can be used to explain reference, both in general and to mathematical objects in particular. I develop a version of this proposal and outline answers to some important challenges that the resulting account of reference faces. Then I show how this account can be applied to arithmetic to yield an explanation of our reference to the natural numbers and of their metaphysical status.

Publication details

Published in:

Palmgren Erik, Segerberg Krister (2009) Logicism, intuitionism, and formalism: what has become of them?. Dordrecht, Springer.

Pages: 47-68

DOI: 10.1007/978-1-4020-8926-8_3

Full citation:

Linnebo Øystein (2009) „Frege's context principle and reference to natural numbers“, In: E. Palmgren & K. Segerberg (eds.), Logicism, intuitionism, and formalism, Dordrecht, Springer, 47–68.