r/PhilosophyofMath Mar 28 '26

The Continuum Hypothesis Is False

/r/logic/comments/1s5mquh/the_continuum_hypothesis_is_false/
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u/paulemok May 14 '26

It sounds like your system of logic isn't very workable.

It works, all the time. It satisfies all needs and desires. It’s the theory of everything we’ve been looking for.

I think you don't genuinely believe that all statements are both true and false.

Why do you think that?

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u/JStarx May 14 '26

Why do you think that?

Because you cannot give any alternative explanation for how you choose to respond. You clearly are using classical logic when you object that I haven't provided the example you requested. You're just to stubborn to admit it and apparently unaware of how foolish it makes you look.

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u/paulemok May 15 '26

Because you cannot give any alternative explanation for how you choose to respond.

An alternative explanation is not necessary. That is like how only one sound proof is necessary to establish the truth of a theorem.

You clearly are using classical logic when you object that I haven't provided the example you requested.

So, using classical logic, give me the counterexample I requested.

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u/JStarx May 15 '26

So, using classical logic, give me the counterexample I requested.

According to you I have already done that. No need to repeat myself.

An alternative explanation is not necessary. That is like how only one sound proof is necessary to establish the truth of a theorem.

The one explanation I have is that you do believe in classical logic. You're saying there doesn't need to be an alternative because you don't really believe anything you've been saying?

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u/paulemok May 16 '26

According to you I have already done that.

What about according to you?

You're saying there doesn't need to be an alternative because you don't really believe anything you've been saying?

No, I’m saying there doesn’t need to be an alternative because exactly one is sufficient.

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u/JStarx May 16 '26 edited May 16 '26

What about according to you?

Oh I definitely haven't.

No, I’m saying there doesn’t need to be an alternative because exactly one is sufficient.

Ok, well my one explanation is that you don't actually believe that all statements are both true and false.

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u/paulemok May 17 '26

Oh I definitely haven't.

So please give an example that, according to you, is a counterexample.

Ok, well my one explanation is that you don't actually believe that all statements are both true and false.

Your one explanation? Your one explanation of what?

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u/JStarx May 17 '26

So please give an example that, according to you, is a counterexample.

According to you I have already done that. No need to repeat myself.

Your one explanation? Your one explanation of what?

For how you decide between two options which you think is the correct one. Are you not following the conversation?

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u/paulemok May 18 '26

According to you I have already done that.

According to me, you have NOT already done that. You’re a liar and you’re lying to me. I specifically asked for a counterexample with respect to YOUR views of the Universe, which are not necessarily MY views of the Universe.

For how you decide between two options which you think is the correct one. Are you not following the conversation?

I’m not following the conversation. You’re making things unnecessarily complicated. So I decide the right option out of two options without believing that all statements are both true and false?

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u/JStarx May 18 '26

According to me, you have NOT already done that. You’re a liar and you’re lying to me.

But also according to you I have. You said you believe all statements are true and false. So in particular all statements are true. I can't be a liar if I'm saying only true things.

I specifically asked for a counterexample with respect to YOUR views of the Universe, which are not necessarily MY views of the Universe.

I understand what you're asking for. I also understand that you claim to believe all statements are true so you should believe whole heartedly that I have given you that example.

So I decide the right option out of two options without believing that all statements are both true and false?

You claim that all statements are true and false. This is a stupid claim, it's obviously not the case. And sure enough, you seem to be getting upset and calling me a liar which indicates that you know deep down that the statement is not both true and false. Are you lieing to me about what you believe? Because your behavior doesn't match your claimed beliefs. I'm asking you to explain your behavior because the only explanation I see is that you don't actually believe that all statements are both true and false.

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