Is mathematics invented or discovered?

I think that’s because you’re concentrating on the word ‘noticing’ rather than the word ‘mind’ when I suggested that “addition/augmentation […] need not concern itself with a ‘noticing mind’”. That something is bigger than it was can be detected by a machine which is ‘aware’ (yikes - it’s next to impossible to use words without intending to imply intelligence) of states (before, after etc) and relations (more than, equal to, etc). Of course addition needs a ‘detecting mechanism’ to ‘see’ that it has happened. But I don’t think that’s as complex as a noticing mind. I suppose you may then argue that somebody has to be there to notice that the detection has taken place though. But that’s a further (undeniably related) event which might just not happen to happen.

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