Thanks MathGrrl

Patrick may, aka MathGrrl, links to what is infinity? At the end we read:
It looks like I am not so wrong after all.
And Neil Rickert says:
Neil, when you can actually count the number of elements in each set then that ain't being intuitive. That is being able to do basic math. What logical contradictions are you talking about? Please list them. Thanks.
Patrick may, aka MathGrrl, links to what is infinity? At the end we read:
If you continue to study this subject you will find discussions about infinite sets, and the idea of different sizes of infinity.
That subject has special names like Alephnull (how many Natural Numbers), Alephone and so on, which are used to measure the sizes of sets.
For example, there are infinitely many whole numbers {0,1,2,3,4,...},
But there are more real numbers (such as 12.308 or 1.1111115) because there are infinitely many possible variations after the decimal place as well.
It looks like I am not so wrong after all.
And Neil Rickert says:
People have obviously tried looking at cardinality in accordance with simple intuition. That works with finite sets. But, when tried with infinite sets, it quickly leads to logical contradiction. The way we actually handle cardinality might look unintuitive to you, but it avoids those logic contradictions.
Neil, when you can actually count the number of elements in each set then that ain't being intuitive. That is being able to do basic math. What logical contradictions are you talking about? Please list them. Thanks.
5 Comments:
At 2:01 AM, Unknown said…
Joe,
After you've taken a course in Set Theory then you can ask people to explain the contradictions. It's your job to understand the work that's already been done, not ours to explain volumes of material.
All countably infinite sets have the same cardinality. All countably infinite sets can be put into a onetoone correspondence. That's what defines that 'size' of infinity.
At 7:07 AM, Joe G said…
I have taken set theory. And there aren't any contradictions.
So fuck you and you false accusations and bullshit nonresponses.
At 7:15 AM, Joe G said…
If someone is making a claim wrt contradictions it is up to them to support the claim.
Or they should shut up.
At 2:24 AM, Unknown said…
If you've taken Set Theory then explain the equivalence of Zorn's Lemma and the Well Ordering Principle. And the Axiom of Choice.
Let me get this straight: you can say whatever uneducated thing you want and it's up to people who say you're wrong to prove that you're wrong?
HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
You want to do mathematics then take at least 4 years of course first. The lecturers are paid to teach and correct mistakes. I'm not. You go pout and posture as much as you like. It doesn't make you right. But your use of profanity does make you sound juvenile and a bully.
At 7:07 AM, Joe G said…
No one has proven me wrong you asshole. No one can.
Just because you can act like a little asswipe doesn't mean I am wrong.
And littleminded fools such as yourself don't even get to say that I am wrong.
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