(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.