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Since the bulk of human knowledge is recorded in books, one of the first steps in the education of the child is to teach him to read. Told that each separate letter, or group of letters, printed in his primer or reader represents a spoken word, the child, being gifted with reason, expects to find an invariable re…
The problem is that the laws of addition and multiplication you are using hold for natural numbers, but infinity is not a natural number, so these laws do not apply. If they did, you could use a similar argument that multiplying anything by infinity, no matter how small, gives infinity, thus ∞×0=∞. More sophisticated…
The point of a good argument isn’t for one person to simply win over the other. It’s ideally for both to come away with cognitive gains. Even if the goal of an argument is to reach a decision, the goal isn’t to win, the goal is to define the parameters for a good decision and then make the best possible decision with…