Knowing the answer I then opened a new tab to try something [that I won't detail to minimize spoilers for today's puzzle] and got linked to
> >Number ordering and 'commutativity'
>
> We get it. 1+2 and 2+1 are effectively the same in maths because of a principle called ‘commutativity’. In the same way, 34 = 43.
>
> However in Nerdle, the only perfectly correct answer is the one we're looking for, in the order we have it. So if our answer contains 1+2, we won’t accept 2+1.
>
> We've spent hours playing with alternative commutative-friendly rules that would allow both 1+2 and 2+1. But so far, every variant we’ve tried is simply not as fun to play.
>
> If you feel the commutativity challenge costs you an extra attempt at a Nerdle challenge unfairly, you can always delete one line from your game emojis before you share them. We won’t tell anyone, promise.
The same issue afflicts mathle http://mathlegame.com/ and I think poses a fundamental issue with this game. In spelling there is a definite order. With commutative mathematical operations, not so. WRODLE!=WORDLE but 1+2+3==2+3+1. They might LOOK like different sentences, but they are not. They are the same. Sure, the glyphs are in different orders, but no aspect of the Platonic sum can distinguish them. They are one.
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.
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.
gkmkkgkg
ggkgkggg (emojis didn't render right in HN)
gggggggg
Knowing the answer I then opened a new tab to try something [that I won't detail to minimize spoilers for today's puzzle] and got linked to
> >Number ordering and 'commutativity'
>
> We get it. 1+2 and 2+1 are effectively the same in maths because of a principle called ‘commutativity’. In the same way, 34 = 43.
>
> However in Nerdle, the only perfectly correct answer is the one we're looking for, in the order we have it. So if our answer contains 1+2, we won’t accept 2+1.
>
> We've spent hours playing with alternative commutative-friendly rules that would allow both 1+2 and 2+1. But so far, every variant we’ve tried is simply not as fun to play.
>
> If you feel the commutativity challenge costs you an extra attempt at a Nerdle challenge unfairly, you can always delete one line from your game emojis before you share them. We won’t tell anyone, promise.
The same issue afflicts mathle http://mathlegame.com/ and I think poses a fundamental issue with this game. In spelling there is a definite order. With commutative mathematical operations, not so. WRODLE!=WORDLE but 1+2+3==2+3+1. They might LOOK like different sentences, but they are not. They are the same. Sure, the glyphs are in different orders, but no aspect of the Platonic sum can distinguish them. They are one.