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bonanova

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  1. Putting it another way, the more certain the man is [on Friday night, should he live that long] that he cannot be hanged on Saturday [the last possible day for the hanging] the more surprised he is when it happens. It's possible because of the prisoner's unwavering belief in the truth of the judge's statements. As with other semantic paradoxes, the assumption that what is being asserted is true comes into play. If the prisoner didn't believe what the judge said was true, he might [expectantly] dread a Saturday hanging, thereby precluding it! The moral: Never believe a judge. It m
  2. It's the fact that one statement can be a contradiction. [1] "I am lying." Spreading that over two statements does not change the nature of the paradox: [2] "I am telling the truth." [3] "The previous statement is a lie." Here, one can simply eliminate statement [2], which carries no information, and change [3] into [4] "This statement is a lie." which is equivalent to statement [1]. To my mind the paradox arises from an explicit assertion of something's falseness using a vehicle [declarative sentence] which implicitly asserts its truth.
  3. Destiny and free will become paradoxical if and only if [1] they both determine the outcome of events. [2] they apply to the same event at the same time. Clearly, two independent forces cannot each have their way in the same matter [e.g. going to the doctor] at the same time [today, at 10:00, the time of my appointment.] Either [if Destiny has its way] I become simply an observer, capable only of telling someone after the fact that I did [or didn't] keep my appointment or I choose to keep my appointment and am forced [lamely] into the supposition that [my then unknown] Destiny must
  4. What underlies paradoxes of this type is the syntactical rule that a declarative sentence is by its nature an assertion of some particular truth. To use a presumed assertion of truth to deny that same truth is paradoxical: One cannot convey usable knowledge by asserting a denial. Nor can one meaningfully deny a truth: the coin has two paradoxical sides: [1] "I am asserting a falsehood." or "I am lying." [2] "I am not asserting something that is true." or "I am not telling the truth." Putting it another way, it's physically possible to speak the words, "I am lying." But when
  5. B starts with 3 liters. Filling C [takes 1 liter] leaves 2 [not 4] liters in B.
  6. Each weighing has three outcomes: Left side is [lighter than] [equal to] [heavier than] Right side. Three weighings can thus discern among [3]x[3]x[3]= 27 cases. We have only 24 cases: one of 12 balls is heavier or lighter than the rest. So we can solve the problem, so long as ... [1] The first weighing reduces the cases to no more than 9. [2] The second weighing reduces the cases to no more than 3. [3] The third weighing then distinguishes among 3 or fewer cases. First weighing: Set aside four balls. Why? Because, if the first weighing balances, we have 8 [fewer than 9] cases:
  7. The puzzle asks: Who am I to Barbara - NOT who is Barbara to me. Hence the correct answer is ... Daughter. Unless of course I am a male. Then the correct answer is not in the choices listed, it's Son-in-Law.
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