(April 9, 2019 at 8:25 am)Acrobat Wrote:(April 9, 2019 at 8:21 am)Sal Wrote: 1+1 = 2 is internally true. We know what the numbers mean and what they correlate to. Is 1+1 = 2 Objectively true? Hard for me to say, because all of mathematics is a priori and abstract, as I understand it. And to say something to be objectively true, then it has to be true without subjective "interference".
I think most people agree that there exists an external world to ourselves, otherwise we'll simply regress to solipsism, which I find to be useless because it has no real explanatory power.
Are axioms objectively true? If so, which ones?
I have an apple, someone gives me another apple, which leaves me with two apples in total (1+1=2). To me this as objectively true as it gets. If you think otherwise, I would like to hear what you think is objectively true if this isn't? And what makes the two apples in my hand, any less objectively true than your example.
You’re conflating abstract mathematical systems with applied mathematics again.
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