Sunday, 2nd June 2024

Having been reading The Mystery of the Aleph by Amir Aczel it got me thinking alot about sets and infinity. I'm obviously no mathematician, but I always believe in thought experiments no matter what the level of knowledge. It's all fun.

Take NOTHING (N)
Divide (N) into 2 sets:
(N) - Nothing
and
(N-) - All that which is NOT NOTHING (ie. everything else that it is not)
This then creates the third set
(-)
That which is the MINUS from the (N-) set
Out of NOTHING we have at least 3 sets

The universe would be:
NOTHING - the blank piece of paper

First circle:
ALL - the NOTHING and the NOT NOTHING

Second circle:
NOT NOTHING - all that is not of the NOTHING

1. Take a set which includes all
2. Minus some properties to create a 2nd set
3. This creates 2 sets - ALL (A) and ALL MINUS (A-)
4. There's a 3rd set which is neither set - an empty set (e)
5. A 4th set - EVERYTHING (E)
6. A 5th set - MINUS ALL (-A) which is the set of just the MINUS from the ALL MINUS set
7. So by dividing 1 set into 2 you actually create 3 sets - (A) / (A-) / (-A)

If drawn as circles there would be
1. the empty blank paper
2. The circle and first ring of the (-A) group
3. The second ring would be (A)
4. And the third ring would be (A-)

By dividing the set you have actually cloned the set