Full Idea
Mathematics contains axioms (definitions) and conclusions from definitions. Its objects do not exist. The truth of its conclusions rests on the accuracy of logical thought.
Gist of Idea
Mathematics is just accurate inferences from definitions, and doesn't involve objects
Source
Friedrich Nietzsche (Unpublished Notebooks 1884-85 [1884], 25[307])
Book Reference
Nietzsche,Friedrich: 'Fragments from 1884-85 (v 15)', ed/tr. Loeb,P.S./Tinsley,D.F. [Stanford 2022], p.78
A Reaction
Not suprising to find Nietzsche defying platonism. This is evidence that he was a systematic philosopher, who knew mathematics could be a challenge to his naturalism.