Wtf, this is the same woman that shot her dog for being “untrainable” and “less than useless” before shooting their goat for being “disgusting, musky, rancid”, “nasty and mean”, and that “loved to chase” her children.

That’s fair - I guess that’s why I said “it seems” as I can’t confidently state something whose unknowns I don’t fully understand.

But yeah theoretically there might be a way to compress the final output into a physically possible form. Still considering the magnitude of the numbers we’re talking about - this would still be a mind boggling undertaking.

I guess my point was more around elmo confidently stating that chess is solvable and using the actual complexity of the task as a way to highlight how being that confident in such a statement is absurd.

Then again maybe I fell in a similar trap so thanks for pointing it out!

I just want to focus on this extremely ridiculous quote as if one understands how unfathomably silly it is - it becomes impossible to take anything elmo says seriously (not that you should need more proof)

What elmo is trying to talk about is called game-tree complexity - the number of possible games based on the number of possible moves.

For checkers this is 10^54 - massive but obviously computable (took 18 years and finished in 2007)

For chess this is 10^120 - called the Shannon number is unimaginably large - like if we counted it in Planck times (smallest unit of time) - checkers’ number would convert to about 300 years - chess on the other hand comes out to around 10^58 universe ages

What’s more - there’s about 10^80 atoms in the universe - so it’s physically impossible to store that many game states in a usable manner to compute a full solution of chess.

Even giving him the biggest benefit of the doubt and turning the whole observable universe into a black hole (the most information dense object imaginable) the Bekenstein bound still dictates you only have 10^96 bits to work with - so it’s seems totally impossible to store a full solution of chess in our universe.

Overall this proves the point of this post - elmo literally does not believe he lives in the real world and any proof otherwise will get rejected by his solipsistic brain.