Re: Replacement of Cardinality (infinite middle)

On 8/11/2024 2:39 PM, Ross Finlayson wrote:

On 08/11/2024 11:30 AM, Jim Burns wrote:

Do you think that would aggravate him as much as that
the Continuum Hypothesis being broken both ways
put him in the madhouse?

The Continuum Hypothesis is not broken.
Getting an answer not.wanted or
not.getting an answer wanted
does not break anything.
Acceptance of
getting an answer not.wanted or
not.getting an answer wanted
is fealty to truth.
The opposite is the opposite,
which is broken, and which breaks.
Continuum Hypothesis CH.
There is no set whose cardinality is strictly between
that of the integers and the real numbers.
1940.
Kurt Gödel shows ZFC cannot prove CH false.
1963.
Paul Cohen shows ZFC cannot prove CH true.
1878.
Georg Cantor proposes CH.
Cantor believed the continuum hypothesis to be true
and tried for many years to prove it, in vain.
His inability to prove the continuum hypothesis
caused him considerable anxiety.
1918.
Cantor dies.

Do you think that would aggravate him as much as that
the Continuum Hypothesis being broken both ways
put him in the madhouse?

Time does not work in the way in which you suggest.
Gödel's and Cohen's work did not
put Cantor in the madhouse.