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Originally Posted by aastrotech
Mathematical logic. The simplest definition that describes the case is the preferred one. "Primes are any number that can be divided evenly only by itself and one". This satisfies the "simple case" requirement defining primes and includes one.
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The simplest definition is the preferred one, is not mathematical logic though. It's often known as Occam's Razor, which I've argued is not even a scientific principle, because of its subjectiveness. Others disagree, but I doubt they'd call it a mathematical logic principle.
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A complication added "any non sequential number that can be divided evenly only by itself and one". prohibits 1 2 and 3 from being prime. But there is no mathematical logic for the "non sequential" complication (except to illogicly prohibit 1 2 and 3 from being prime.
There is no mathematical logic to the complications of definition by adding , "whole, distinct, natural numbers" or other complications to the simple definition that defines the case of primes (except to illogicly prohibit one from being prime).
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You do have to include that in the definition, though, right? Else what do you do with 3.5 / .5 = 7?