Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

On 20.10.2024 14:20, Alan Mackenzie wrote:
 > WM <wolfgang.mueckenheim@tha.de> wrote:
  >> Say mapping or multiplying, it is a process. But that is not important.
 >> Important is only that in the image there are numbers which have not
 >> been mapped because 2n > n.
 >
 > That "because" attempts to connect two unrelated statements there are no
 > "numbers which have not been mapped".  If you think there are, give an
 > example.
 They can be proven by mathematics: Density reduced, fixed number, interval enlarged.
 >> If this is not accepted, then not all natural numbers of the image have
 >> been in the original set.
 >
 > <Sigh>.  The sets are infinite.
 Infinite does not mean inaccessible to logic.
 Regards, WM