Here is a simple example of a sentence that appears to be false because both of its inputs are true:

Say “I have a dog or a cat,” in front of your home and after that, open the door and both a dog and a cat appears.

Also think of a mugger. “Give me your money or I’ll shoot you.” This means that if you give the money, the mugger will not shoot you. Even though it is true that if the mugger actually shoots you, he will probably take the money, the sentence doesn’t motivate you to give the money unless you interpret it as an exclusive or.

]]>For example, 21^2+20^2=29^2. For 21^2, the next twin primes are 461 and 463 (20 and 22 away) so add 21. Do the same for the other sides and you get (21^2+21)+(20^2+20)=(29^2+41), or 462+420=882.

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