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Topic:
4. Math Theory

Meta-symbolic Language: structure, language, assumptions, and limits.

~ 4 minutes

4. Math Theory.

Quick Hits

10 random key ideas.

1.
Math reveals patterns in reality, but also the boundaries of reason. Reality may be deeper than current math. But we should not pretend an invalid operation is meaningful before it earns that status.
2.
Infinity is a powerful rational idea used to describe patterns, limits, and unending processes, but it is not something we directly observe as a completed physical object.
3.
Zero represents the absence of a quantity, not the existence of metaphysical nothingness.
4.

Article summary: 

Bold redefinitions must pass structural and empirical calibration to endure.
5.
Math itself is rational, but a statement using math can be empirical, rational, or irrational depending on what the full claim is describing.
6.
No. Multiplication is factor scaling. Sure, you can change the definition if you want, but if you do, that’s not the thing we call multiplication.
7.
Math is discovered in the structure of the Material World but invented in the symbolic systems minds use to describe that structure.

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