[Subfallen]

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So, by your own definitions, pure mathematics is only SUBJECTIVELY MEANINGFUL. This is extremely important, please take note of what I am saying. In other words (edit: by your definitions), statements involving pure mathematics are not objectively falsifiable.

You cannot OBSERVE statements arising in pure mathematics. Math is still "actually meaningful".

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No, math is a priori only subjectively meaningful. As Einstein said, "As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do not refer to reality."

If you thought you were trapping me here, you're just adorable.

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Your eyeball is not some magic "actual meaning" granting entity.

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Actually, yes, the senses and their interface with consciousness are the necessary and sufficient standard for falsifiability and thus actual meaning.