quote:
All things that are collectively agreed to exist within objective reality (as defined above in this post) are testable and verifiable through the scientific method.
I think putting 'collectively agreed' in your statement makes it meaningless. Who is to do the agreeing here?
If everyone on earth collectively agreed that God exists, then your statement would imply that God would be testable and verifiable through the scientific method. This is not true.
Suppose there are some genuine solipsists out there. In that case, there is nothing that is collectively agreed to exist within objective reality.
Leaving aside the collectively agreed piece, I agree with Cavediver that there is
some kind of objective reality to mathematical concepts. If two different species invented the concepts of integer and prime number, then the same integers would be prime numbers for both of them. I can see no way in which that could not be true.
Many properties of mathematical objects are NOT verifiable by the scientific method. For example, the existence of an inifinity of prime numbers can be proved but not observed.
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