Need Help: How is arithmetic synthetic ?
I am having difficulty in understanding how the statement "7 + 5 = 12 " is a synthetic statement ?
(I don't know whether this view is commonly accepted or whether opinion is divided on this issue.But I would like to know arguments put by those in favor of it.)
I didn't have trouble in understanding that a statement such as "A bald man is a man" is analytic .
But I am having trouble understanding why the statement "7 + 5 = 12" is not analytic.
Can someone explain or provide references where it is explained (it would be helpful if the source is self-contained as I am a beginner).
(it would be great if the explanation is in light of modern philosophy).Thanks in advance!