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Another view: Anything near the limit of what we "see" now is really the result of our interpretation using a lot of manipulation and...

You need to be clear on what you mean by "infinitizing operation". The OP talked about "a new infinite number of dots, ad infinitum."...

It's my understanding that people looking for dark matter look at the velocity of orbiting objects rather than trying to figure out the...

:mad: I looked them up so y'all don't have to: random number generator. number that estimates a player's skill level based on their...

This is no problem for computers since Game Theory Optimal strategies (which can be stochastic, depending on the game) will beat any...

The cardinality of the power set of a set is strictly greater than the cardinality of the set. The power set exists by axiom of ZFC, and...

I disagree. Allowing the process to go on infinitely long can increase the size. Cantor's diagonal proof shows that the reals...

My knowledge about infinities is infinitesimally small, but there is a chance answer depends on what kind of infinity you started with...

A related question: In general, how well does AI handle games where a winning strategy must include some random behavior to keep the...

It is well known that any human no longer has a chance in traditional chess, go, or poker. Recently champ Shin-Jinseo was able to...

You cannot combine both. I already showed that. That would not work. Your new custom exception is (as I showed) logically incompatible...

Then you end up with your own personal, probably inconsistent, mathematics.

Well, I don't know what you are trying to get at. There are an infinite variety of rules that can be thought up. The ones we use have...

I don't think you paid enough attention to @Dale's post #8. In your first post, you propose that ##0/0 = 1## and also that ##0^2/0 =...

Division is not defined arbitrarily. We start with two operations, addition and multiplication, that have very specific, desirable...