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Small-Scale Question Sunday for June 16, 2024

Do you have a dumb question that you're kind of embarrassed to ask in the main thread? Is there something you're just not sure about?

This is your opportunity to ask questions. No question too simple or too silly.

Culture war topics are accepted, and proposals for a better intro post are appreciated.

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If we have a phrase:

If A, then B.

From this, one can say, A, hence B.

But some might say not B, hence not A.

This says that, if you make a claim, some might choose not to go with the proof you meant, but choose to say that the first phrase must be false.

Now I will stop with the use of short words.

Okay, more clearly.

In general, when you have arguments, there are assumptions. You can make some argument, and reach the conclusion, and so claim that that the conclusion must be true, this being a form of modus ponens ("the putting way"). But people could instead think the conclusions are obviously false, and so conclude that a premise must have been wrong, which is modus tollens ("the overturning way"). This is pretty much always going to be possible in arguments.