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 Originally Posted by OngBonga
The number 1 is very real, assuming the universe is quantised. And any number where the equation x = 1x is true is also very real, since it's basically an extension of the number 1. By "real" I mean exists as a self consistent non-human concept in the universe, not the mathematical concept of "real numbers". The number 1 is not useful, it's fundamental. Without 1, there is only 0. That means a universe that doesn't exist.
All of which is a philosophical argument.
How can you prove that any number is a non-sapient concept?
Many brilliant mathematicians have tried, but there's always a leap of faith at the start.
Something like, axiom 1) there is an empty set
WTF?!?
OK... so moving on.. oh hey! it's all of math!
But it always starts with some nonsensical statement that we just assume to be true. Axioms are exactly that... things we assume to be true w/o any motivation or proof.
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