Why do we assume the square root of two is irrational because it's proven to be not rational?

Why do we assume the square root of two is irrational because it's proven to be not rational?

Because irrational by definition is "not rational"?

Well, false by definition is "not true", but there are statements that are neither true or false.

For example:

>This statement is false

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Numbers that exist can't be both irrational and rational simultaneously. If we appended such a criterion to your stupid word game we would conclude that your string "this statement is false" isn't actually a statement.

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it clearly is a statement

No statement exists. A statement must be true and not false or false and not true. The string 'this statement is false' is therefore not a statement.

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This is an interesting point, but the definition of irrational is essentially that it isn’t rational. That it can’t be expressed in simplest terms as a fraction (to oversimplify). At least my not-super-rigorous understanding

I don't even know where to start explaining. My reccomendation is to go to YouTube and listen to people explain it i guess. I can't devote enough time to you.

Why are you posting pics of you and your cousin? And why does your cousin keep his hat when sleeping?