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He does very well at models and evidence. If the theory isn`t there yet what stops us from using the models?
Nothing at all. If it works, then fine. But few people apart from Wolfram is convinced by the evidence.
I think, to an extent, we are taking at cross purposes. So when you say,
Mathematics has no way of modelling this type of system but you can bet that logical deduction will catch up pretty soon.
You mean standard, shall we say Engineering, math? I would hesitate to make the distinction you are making, in part because I think it leads you to misunderstand the point of Conway's Game of Life (and the subsequent implications for cellular automata). When Conway designed it to be resistant to mathematical analysis, he would have been using "math" in the same way I do, which includes "logical deduction".
This intractibility is a core problem and leads to a kind of heads I win, tails you lose situation. As the following,
What happens if the universe is composed of things that don`t work in a logical manner?
Then modelling them using rigid rules on a computer is unlikely to be of any benefit. |
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