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Do you agree with Georg Cantor that an infinite set of numbers
Posted on 2/14/16 at 7:52 pm
Posted on 2/14/16 at 7:52 pm
can have a greater number of elements than another infinite set?
Personally, I think his theorem is bullshite with zero practical value. Mr. Cantor confused a semantic construction with a logical one; "one to one correspondence" has no logical resolution except with finite sets.
Personally, I think his theorem is bullshite with zero practical value. Mr. Cantor confused a semantic construction with a logical one; "one to one correspondence" has no logical resolution except with finite sets.
Posted on 2/14/16 at 7:54 pm to Rex
There are more even numbers than odd numbers.
Posted on 2/14/16 at 7:54 pm to Rex
Of course I do. What are you, retarded?
Posted on 2/14/16 at 7:54 pm to Rex
Despite what every ten year old in the world believes, there is only infinity. There is no infinity plus one.
Posted on 2/14/16 at 8:02 pm to Jim Rockford
quote:
Despite what every ten year old in the world believes, there is only infinity. There is no infinity plus one.
Which is why Cantor fails. There are no infinite collections of things in actuality, so the notion of an infinite set is not actually descriptive and "one to one correspondence" is a false premise upon which to base his argument because it has no real basis.
This post was edited on 2/14/16 at 8:03 pm
Posted on 2/14/16 at 8:04 pm to Rex
You don't think there are more real numbers than integers?
Posted on 2/14/16 at 8:09 pm to The Easter Bunny
quote:
You don't think there are more real numbers than integers?
Correct.
Numbers do not exist except as notions.
Posted on 2/14/16 at 8:14 pm to Rex
There are more numbers between 1 and 2 than there are real numbers between 1 and infinity.
These are two infinite sets with different number of elements.
EDIT - Apparently Tigerdroppings can't handle the infinity sign.
These are two infinite sets with different number of elements.
EDIT - Apparently Tigerdroppings can't handle the infinity sign.
This post was edited on 2/14/16 at 8:15 pm
Posted on 2/14/16 at 8:16 pm to StringedInstruments
sum of all natural numbers from 1 to infinity is equal to -1/12
Posted on 2/14/16 at 9:07 pm to Rex
I don't think this Cantor dude knows what infinity means
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