>Every transcendental number can only be defined by an infinite calculation (sum or product of infinite series)
>Thus, even in a hypothetical infinite universe, the true value of a transcendental number could never be exactly pinpointed
>Thus, the actual "value" of a transcendental number cannot exist in a real universe in the same way a real universe could never contain anything infinitely old
>The vast majority of real numbers are transcendental
>In fact, if you were to throw a dart at number line between 0 and 1, the probability of landing on a non-transcendental number is basically zero
>Since you are doing this in the real universe, the natural forces acting on the dart and the number line must resolve to a value
>But no transcendental number's value could ever resolve in a finite amount of time and a finite amount of space
>Thus the universe must be strictly quantized so that a non-transcendental number must realize as the outcome of physical phenomena
Does this make sense?
>Thus, even in a hypothetical infinite universe, the true value of a transcendental number could never be exactly pinpointed
>Thus, the actual "value" of a transcendental number cannot exist in a real universe in the same way a real universe could never contain anything infinitely old
>The vast majority of real numbers are transcendental
>In fact, if you were to throw a dart at number line between 0 and 1, the probability of landing on a non-transcendental number is basically zero
>Since you are doing this in the real universe, the natural forces acting on the dart and the number line must resolve to a value
>But no transcendental number's value could ever resolve in a finite amount of time and a finite amount of space
>Thus the universe must be strictly quantized so that a non-transcendental number must realize as the outcome of physical phenomena
Does this make sense?
