Gottlob Frege · Mathematics

What Is a Number?

In <em>Die Grundlagen der Arithmetik</em> (1884) Frege asked a question no one had answered rigorously - what <em>is</em> a number? - and argued that a statement of number is an assertion about a <em>concept</em>, that numbers are objective logical objects, and that arithmetic is reducible to logic. This is <em>logicism</em>.

What you'll be able to recall

You learned that Frege attacked both the view that numbers are physical heaps and the view that they are subjective ideas, argued that a statement of number is an assertion about a concept, defined 0 and successor logically, and founded logicism (arithmetic is derivable from logic). Explain these moves in your own wor…

Leads to Immanuel Kant.

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