On Mon, Sep 16, 2024 at 11:46 PM Alan Grayson <[email protected]> wrote:
> How would you map (0,1) 1-1 onto the real numbers? > > > *F(x)=1/2 + 1/π Arctan(x) . The domain is all the real numbers and the > range is (0.1)* > > > *> This map isn't 1-1. Many x's correspond to the same point in (0,1). AG * > *This is a graph of the Arctan function. Show me many X's, or even one X, that corresponds to the same point in y.* [image: image.png] *>> If a set is infinitely large then there is a proper subset of that set > that can be put into a one to one correspondence with the entire set, in > fact that is the mathematical definition of "infinity".* > > > *> That's circular. AG * > > > *>I deleted the post with the circular comment. Why are you responding to > it? AG* > *I responded to your email. Apparently you thought you knew a way to delete an email that was already on my computer or delete my memory of reading that email. Neither worked. * *> an infinite universe cannot be created. If one exists, it is > eternal. The reason is because the creation would require something > non-physical; infinite spatial expansion instantaneously. So no BB for a > spatially infinite universe.* > *I will now quote somebody named Alan Grayson "You keep doing the same thing; asserting a result without proving it " * John K Clark See what's on my new list at Extropolis <https://groups.google.com/g/extropolis> agd -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv2vYQPnyaTL%2BcPOeWbHShRT8qWcH0w2wMDx-8ErBt_NNg%40mail.gmail.com.
