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RAISE and ARISE both mean 'the lift up', but they're different words, and you're not going to win a wordle for 'ARISE' with 'RAISE'.

I'm not sure how you would want to win for getting the right number in the wrong place in a game which provides clues to find the right places by telling you when you have the right numbers in the wrong places.

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Re RAISE and ARISE: they are not pointers to the same place in wordspace in the same way that 1+2+3 and 2+3+1 are in sumspace.

Re your second point: I love wordle. I'd love a game with similar game play that obeyed mathematical principles. It seems that nobody has found the right set of rules yet! That's why I've been trying these once and stopping. I don't find their rules beautiful in the same way that I do wordle's.

We could be extremely, reductively classical about it and say that all of Nerdle's answers point to the same place (⊤, since any answer equivalent to ⊥ is disallowed by the rules), but the real answer is that Nerdle—like Wordle—is simply about finding the right piece of syntax, not finding the right semantics.

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