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The Mathematical (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠that "about" things which we already know and do not get from them but bring with us — as no three chairs, apples or cats can tell us what "three" is.

The Mathematical (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠the basic stance in which we take things as already given to us, and as they must and ought to be given — the presupposition behind all knowledge of things.

The Mathematical (n.) is, ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠in the sense of learning what one already knows, the fundamental presupposition of 'academic' work. Plato's words over the academy are nothing but a hard condition and clear circumscription of work.

The Mathematical (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠that 'about' things which we really already know (i.e.) the body as bodily, the plant-like of the plant, the animal-like of the animal, the thingness of the thing. We do not first get something out of things, but, in a certain way, we bring it already within us.

The Mathematical (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠the idea that, for example, in grasping the number three (as in the recognition of their being 3 chairs over there) as such, we only expressly recognize something which, in some way, we already have. This recognition is genuine learning.