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RE: Math Versus Mathamagic. How to ready the mind for an education!
This is a really hard post to follow.
First off, math is not proven.
It is based on several assumptions.
Some of which i believe are wrong.
By your beginning statements, ∞ doesn't exist.
Which i agree with.
And if you take away ∞ from math, math it breaks down.
"First off, math is not proven.
It is based on several assumptions.
Some of which i believe are wrong."
The functions require that the integers be proven. Think you have 2 Pens but really having 3 Pens would mean that when the function is performed the sum will not be correct. 2Pens + 2Pens = 4Pens is only true if the integers are proven. If you really have 3Pens + 3Pens the sum will not be 4Pens, but sixPens precisely because the symbols don't reflect reality.
What makes math a representation of reality is verifying and confirming the integers.
What deforms your brain is not doing the repetition of counting making sure that the integers reflect reality. + - x and / require that the integer's reflect reality in order for the function the symbols represent to work. A person has to do the act of verifying and confirming in order for the neural network to build the ability to sense the difference between what the mind can imagine and what actually happens in the real world.
Gun's kill people when a mind cannot separate between that which happened and that which it imagined happened. The neural networks that are needed for a human being to be able to tell the difference between what they imagined and what actually happened are Reading, Writing and Arithmetic correctly practiced on the bases of language.
One can say that the symbols must represent a something or the inherent patterns in the symbols mean nothing.
So, you have 3 small apples, and 1 large apple.
How many apples do you have?
Does 3 apples x 3 apples make any sense when there are only 8 apples in existence?
And since we can never count to infinity, does infinity exist?
And if it doesn't, what happens to calculus?
Further, 1+1=2 is an assumption. It is not proven. It may not be provable.
2+2=4 was proven recently, as long as you assume 1+1=2 and that integers exist.
I can see what you are trying to get at, but reality is not as solid and set as one would like. There isn't a line where reality ends and imagination begins.
Or, in other words, half of our brains are on the other side of that line.