Re: The set of necessary FISONs

On 01.03.2025 19:31, joes wrote:

Am Sat, 01 Mar 2025 19:09:25 +0100 schrieb WM:

On 01.03.2025 17:25, Richard Damon wrote:

On 3/1/25 9:31 AM, WM wrote:

On 28.02.2025 20:45, Richard Damon wrote:

On 2/28/25 11:44 AM, WM wrote:

 

Processes using defined individuals like FISONs cannot surpass a
finite set. FISONs are finite. Their number will never be greater than
finite.
{1}
{2, 1}
{3, 2, 1}
...

  > Nope, the axion of Induction (which needs the axiom of infinity) says
  > that the process DOES complete.
It is in error.

You can't argue with induction if you don't believe in it.

I know that induction is a correct method to prove properties of elements of infinite sets. But this infinity is potential only. The property is only proved for the elements. There is no completion.

 

Since F(0) exists, and the existance of F(n) says that F(n+1) exist,
the axion of induction says that F(m) exist for ALL m a member of the
Natural Numbers, and thus the set of FISION is infinite,

Not actually infinite.

Not finite.

Right!
Regards, WM