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(2009) Logicism, intuitionism, and formalism, Dordrecht, Springer.
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
DOI: 10.1007/978-1-4020-8926-8_3
Full citation:
Linnebo, Ø. (2009)., Frege's context principle and reference to natural numbers, in E. Palmgren & K. Segerberg (eds.), Logicism, intuitionism, and formalism, Dordrecht, Springer, pp. 47-68.
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