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Proofs by contradictions are still expressed in valid math. Invalid math is when you start giving answers like “1.3(4æ87+^%<[{“, that is completely disregarding
by gklitz 2y ago
Proofs by contradictions are still expressed in valid math. Invalid math is when you start giving answers like “1.3(4æ87+^%<[{“, that is completely disregarding syntactical and consistency rules of the language you are using to express yourself in.
- ajuc 2y agoI guess there's several levels of invalid, I was thinking of "3/0" or "sqrt(-1)" level of invalid. Maybe it was a bad analogy. Still - going from one to another valid expression is often faster if you can go through invalid expressions.
- gklitz 2y ago> going from one to another valid expression is often faster if you can go through invalid expressions. I still don’t think you really comprehend what an invalid expression is in this case. Ñ¥æd huiåp xiip ææææOP. It won’t make anything “faster” to “go through” these, as expressed extremely cleanly and fast in the last statement expressed in invalid English. Invalid expressions doesn’t mean “this mathematical expression expresses an inconsistency” like 3/0, it means “this expression isn’t a mathematical expression because it doesn’t follow the basic rules for the language” like “$/(!!@?3.3.3”