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mathematical intuition? positive numbers when multiplied together always equal numbers larger than either of the multiplicands... hardly a rigorous proof, I gr

mathematical intuition? positive numbers when multiplied together always equal numbers larger than either of the multiplicands... hardly a rigorous proof, I grant you, but surely true?

r0uv3n 3y ago
In fact, the opposite of your statement is true: Assuming the axiom of choice, the cardinality of the product X^2 of some infinite set X is always the same as X. See https://math.stackexchange.com/a/2464655 https://math.stackexchange.com/a/2464655 for a quick proof