Editing 2217: 53 Cards
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A common defense employed by pseudoscientists, when challenged on their ideas, is to issue a counter-challenge and demand people prove them wrong, as Cueball does in this comic. This is a fallacious line of argument, since the fact that Ponytail cannot prove Cueball wrong does not mean that he is right. Nonetheless, this aggressive defense often works to discourage argument, since it takes far less effort to make a claim than to refute it. | A common defense employed by pseudoscientists, when challenged on their ideas, is to issue a counter-challenge and demand people prove them wrong, as Cueball does in this comic. This is a fallacious line of argument, since the fact that Ponytail cannot prove Cueball wrong does not mean that he is right. Nonetheless, this aggressive defense often works to discourage argument, since it takes far less effort to make a claim than to refute it. | ||
| β | Possibly, Cueball's plan involves usage of the {{w|Banach-Tarski paradox}}, a mathematical theorem which describes a method of "dismantling" a solid sphere, rearranging the component pieces, and reassembling them into two solid spheres identical to the original. This is only possible in a mathematical ideal case, because the "component pieces" are actually | + | Possibly, Cueball's plan involves usage of the {{w|Banach-Tarski paradox}}, a mathematical theorem which describes a method of "dismantling" a solid sphere, rearranging the component pieces, and reassembling them into two solid spheres identical to the original. This is only possible in a mathematical ideal case, because the "component pieces" are actually collections of infinitely many disjoint points; such a procedure cannot be performed in physical reality. Cueball's operations of shuffling and rearranging are analogous to the operations used in the Banach-Tarski operation, which involves only moving and rotating the component pieces without changing their shape. The Banach-Tarski paradox was also referenced in [[804: Pumpkin Carving]]. |
In the title text, Ponytail responds to Cueball's challenge with snark, claiming that the most obvious error is the fact that the formula's result is "53". The implication is that his math results in the wrong ''answer'', which is proof that the calculations must contain errors. This, of course, starts with the assumption that Cueball's claimed result is impossible, rather than attempting to find the flaws in his specific method. Because most people would conclude, by basic physical reasoning, that merely shuffling and rearranging a deck of cards cannot increase the number of cards in the deck, that feels like a safe assumption. By analogy, increasing the amount of energy in a system only by moving and transferring energy should be equally impossible, on its face. | In the title text, Ponytail responds to Cueball's challenge with snark, claiming that the most obvious error is the fact that the formula's result is "53". The implication is that his math results in the wrong ''answer'', which is proof that the calculations must contain errors. This, of course, starts with the assumption that Cueball's claimed result is impossible, rather than attempting to find the flaws in his specific method. Because most people would conclude, by basic physical reasoning, that merely shuffling and rearranging a deck of cards cannot increase the number of cards in the deck, that feels like a safe assumption. By analogy, increasing the amount of energy in a system only by moving and transferring energy should be equally impossible, on its face. | ||
