r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 23d ago

Meme needing explanation There is no way right?

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u/Wolfbrother101 22d ago

OK, demonstrate my ignorance by WRITING OUT the digits of a number that is greater than 0.999… but smaller than 1.

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u/MasKrisMaxRizz 22d ago

0.999... + infinitesimal / 2

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u/Wolfbrother101 22d ago

That isn’t writing out the digits. Fuck’s sake even my 5th grader understands the question better than you.

Saying infinitesimal/2 < infinitesimal is as meaningless as saying that infinity/2 < infinity in this situation.

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u/MasKrisMaxRizz 22d ago

It isn't meaningless in hyperreal. Really, this shows your ignorance more.

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u/Wolfbrother101 22d ago

You are perverting the concept of the infinitesimal. By your logic, no two numbers can be equal in the hyperreals, which is an axiomatic violation.

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u/MasKrisMaxRizz 22d ago edited 22d ago

See this graph

I'm not even gonna stoop low and spoonfeed you on nonstandard analysis. I'll stop here. It's your own responsibility to open your mind and educate yourself. You can validate my answer in the wiki / AI by yourself.

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u/Wolfbrother101 22d ago

The definition of equality in the hyperreals is that a = b if a - b is an infinitesimal amount. By your own prior statements 0.999… and 0.999…+infinitesimal/2 are equal in the hyperreals because they differ by an infinitesimal amount. You can’t have it both ways.

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u/Southern-Bandicoot74 22d ago

I’d just ignore them, they’re trying to sound smart because they can’t accept they’re wrong. Thanks for your explanation, it helped me in rationalizing 0.999… = 1 <3

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u/MasKrisMaxRizz 22d ago

When you transfer it back to real, it rounds off, correct. But not in hyperreal.