The Nature of Number in Frege's Analystical Philosophy

Journal of Philosophical Investigations at University of Tabriz 7 (13):69-101 (2013)
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Abstract

Here, based on "what is a number ascribed to?”, I tried to consider Frege’s viewpoint on the nature of number. The epistemological approach, especially abstractionism, was refused by Frege. Because, this view followed by the question of “how the number are given to us?” and by this approach, according to him, we could not concern the qualifications of the being number. Instead, he, in a linguistic turn, to explain the nature of the number introduces two factors: concept and equinumerosity. The basis of the first is Principle Context, and the other is what that now called “Hume’s principle”. Here I focused on explaining the concept of number in accordance to those principles.

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