trulyharmless :
Your reframe, while technically logically equivalent, shifts which cards need to be checked so it will probably confuse people further. In the original question the requirement is if the card is even it must be red, it says nothing about if it is red it must be even. For both to be required you would need to say it is red if and only if it is even (or even if and only if it is red, they're equivalent). So in the original question you never have to check red because it doesn't matter if it's even or odd, but you DO have to check blue because if it is even it has failed the requirement. You also have to check 8 because if it isn't red it has also failed the requirement. You don't have to check 3 because the requirement says nothing about what color odd cards need to be. For the reframed question however, you put the 16 year old, which must be checked, in the 3 card position, which didn't originally need to be checked, and the beer, which must be checked, on the red card, which didn't originally need to be checked. I can support this by pointing out that if it was intended to mean all even cards are red AND all red cards are even, you'd have to check all the cards. Because if 3 is red, 8 is blue, blue is even, OR red is odd, it fails. Which I guess would still be a valid test (though not properly worded for first order logic), but would no longer be logically equivalent to your reframed version.
2026-07-23 09:34:15