essence-existence   4

Alon Amit's answer to Why is there no formal definition for a set in math? How can we make any statement about sets (and therefore all of math) if we don’t even know what it is? - Quora
In the realm of mathematics, an object is what it does (I keep quoting Tim Gowers with this phrase, and I will likely do so many more times). The only thing that matters about points, lines, real numbers, sets, functions, groups and tempered distributions is the properties and features and rules they obey. What they “are” is of no concern.

I've seen this idea in a lot of different places
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4 days ago by nhaliday
Blind men and an elephant - Wikipedia
A group of blind men heard that a strange animal, called an elephant, had been brought to the town, but none of them were aware of its shape and form. Out of curiosity, they said: "We must inspect and know it by touch, of which we are capable". So, they sought it out, and when they found it they groped about it. In the case of the first person, whose hand landed on the trunk, said "This being is like a thick snake". For another one whose hand reached its ear, it seemed like a kind of fan. As for another person, whose hand was upon its leg, said, the elephant is a pillar like a tree-trunk. The blind man who placed his hand upon its side said, "elephant is a wall". Another who felt its tail, described it as a rope. The last felt its tusk, stating the elephant is that which is hard, smooth and like a spear.
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august 2017 by nhaliday

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