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I would agree. Infinity is an undefined value which is extremely large or extremely small (-infinity)STx said:i dont think you can say 'infinity > inifinity + 1', but that inifinity + 1= infinity
Depends on what angle you look at infinity, and your definition of uniqueness. We have already discussed the concept of aleph null, and it is quite easy to show that 2N0>N0, so perhaps there's your answer. Two sets of infinity with different cardinality. Although what 2N0 is we'll never know.SeDaTeD said:Templar, infinity is an upper bound of any subset of R, but could you show that it is unique? Though that'd depend on some precise definition, of which I'm too lazy to look up.
I usually take infinity as what its name implies: not finite.
I disagreeKaley001 said:Its only purpose in maths is to be a pretty symbol that fills a gap that can't be described in maths, and any equations with infinity in it is meaningless in real life until the infinity is removed.
Aleph nought and aleph one are provably different, I believe. So one must be "bigger"XcarvengerX said:If infinity is not something that is the biggest (or the limit), then what is that something even bigger than this something really big (infinity)?
For 1 to the power of infinity, the answer is still 1.