Re: Mathematical Fiction




<lal_al@xxxxxxxxxxx> wrote in message
news:1138743863.948699.78370@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
>
> Among the many interesting ideas in this book ("Infinity and the
> Mind"), is the proof that the infinity which is the number of integers
> is a smaller infinity than the infinity which is the number of reals.
> There are many different infinities, and not just one infinity.

In fact, given any infinite number X, there are more than X different
infinities. There is also no biggest infinity (though there is a smallest
one: the number of integers.)


.



Relevant Pages

  • Re: Anyone is both God and an insect, depending on what he compares himself to.
    ... received from you is your twisted version of the Spanish Inquisition ... Belief in dreams and the power of the mind to explore new ideas. ... (Being helped by spirits, also an abilitiy to link into the ... You seem confused about infinity, the way I perceive it is that ...
    (sci.physics)
  • Re: Dik T. Winter says: Definition: sum{i in N} i = 0
    ... You have to put that aside and focus your mind on the least upper bound. ... all reals such that all elements of that subset are on the left of the LUB, ... create good math. ... Infinity was always a matter in mathematical history. ...
    (sci.math)
  • Re: Simple Question and the philosophy of infinity
    ... infinity has no meaning outside of your mind. ... concept of infinity has no real-world equivalent. ... I think there is trouble with the word "existence". ... logical trouble, such that bla bla". ...
    (sci.electronics.basics)
  • Re: Jesus [11] Hell: Conditional Immortality
    ... philosophy decided upon when in a better frame of mind. ... With an infinity of time, ... eternity in a completely unchanging state of being exactly neutral in every ...
    (uk.religion.misc)
  • Re: OT: About Intelligent Design
    ... I grasp the idea of infinity just fine. ... >>>What it really comes down to is pattern recognition. ... I opened my mind to 'everything', ... "Be who you are and say what you feel, because those who mind don't matter, ...
    (alt.smokers.cigars)