novelty
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289
mathematics frequently explores concepts that are merely theoretical possibilities and dont exist in the real world
289
Honey your argument is only plausible on the surface
If we r not supposed to b able to imagine something, then why do we even talk about its theoretical existence?
Theory is formed in the human mind the mind is the very ground of theory
so if the mind cant hold it for whom does that theory even exist?
"u r not supposed" to is more of a rationalization than a reason
289
a definition itself is a form of existence it takes place in the human mind, and its a human act
The fact that a perfect circle cannot be imagined is not a flaw in the circle its a limitation of our imagination
And this limitation does not prove that the perfect circle doesnt exist
Existence is not limited to what can b imagined
And u know what?
If the perfect circle didnt exist, you wouldnt even be able to recognize the imperfection of a circle drawn on paper
Imperfection is the very condition that allows us to recognize perfection
So what conclusion do we draw?
Perfection does not exist as a fixed form but it exists in imperfection , not as a thing, but as a measure
289
and by perfection i meant a circle which every point on its circumference must be a theoretical point with no dimensions
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If u are saying that a perfect circle only exists in an abstract mathematical space, then I have a question for u
Where is that abstract mathematical space?
It is in the human brain
and the human brain is itself a physical reality
Subjective reality is not less than objective reality it is just another kind of real
And here is your second mistake
u say a perfect circle doesnt exist
U are defining perfection as a fixed state
But perfection can also be defined as a process 💞
289
circles we see or draw are always flawed versions of the ideal which we can only conceive of in our minds
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it is a purely theoretical construct that exists within geometry, where there are no physical imperfections
