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Function and Concept

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"On Function and Concept" (Über Funktion und Begriff) is an article by Gottlob Frege, published in 1891. The article involves a clarification of his earlier distinction between concepts and objects.

In general, a concept is a one-place function, whose value is a truth value:

  • -1 and 1 follow the concept x2 = 1, but 0 and 2 do not.


The conceptual range (Begriffsumfang) follows the truth value of the function:

  • x2 = 1 and (x + 1)2 = 2(x + 1) have the same conceptual range.
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