I am aware of your inability to separate the mechanism of the human brain from mathematics.
I am aware of your inability to link between the human brain and mathematics, exactly because you are focused only on the subjective aspects of its functions.
Since the human brain has subjective AND objective aspects it enables to deduce the needed generalizations (by recognize the difference between subjectivity and objectivity) in order to do maths, only if verbal_symbolic
AND visual_spatial skills complement each other during deduction.
Your verbal_symbolic-only reasoning actually closed under the subjectivity of partial brain skills and as a result you can't define the complementarity of Ethical reasoning (in terms of evolutionary scale)
AND Logical_reasoning.
Without the the understanding and practice of this complementarity in one's brain, his\her probability to survive as a complex phenomenon is reduced, because Ethical
AND Logical reasoning are not synchronized during further manipulations of Nature's forces.
Furthermore, Entropy and its essential importance for further development of complex creatures like us, is not understood if the mathematician is not a factor of the mathematical science.
One of the signatures of this misunderstanding is the ignorance of the mathematical community along the last 4000 years, about the irreducibility of collection of members into NOthing (that has no predecessor) or the their non-extensibility into YEShting (that has no successor), which is exactly the property of a non-entropic realm (which is not known by the current mathematical science, as long as lower mathematical spaces can fully cover higher mathematical spaces (according to this reasoning we are at full entropy state, which is simply nonsense)).