[seebs]

Originally Posted by Michali

Yes we do. "Wherever you go, there you are." is analogous. With regard to your f(burningwood)=ash example, "f(burningwood)" is, the most super-general description that could entail that ash is simultaneously true.

Not really.

If f(x)=y. f(x) is simultaneously true with y. If y is "being in the north pole" and f(x) is "buying a jet, flying to the north pole, parachuting down, and kissing the snow"... If f(x) is true, y is simultaneously true.

But again, values aren't "true" or "not-true" in general. They're just values.

Negative, Conway's life is a set of rules applied one state at a time. You used this to argue against me earlier about "end states" in Conway's life.

You didn't understand that, either.

In any event, while Life applies to one state at a time, it is a sequence of states, each handled in turn. No sequence, no Life.

We are only dealing with one instance of one input and one output.

And even then, you're still getting confused.

"lone blue square" is a valid input for Life, even though it can never occur as an output. The function's domain is substantially larger than its range.