My position, FWIW, is that all of science is socially mediated (as a consequence of being a human activity), mathematics no less than any other science. Whether a mathematical proposition will be assessed as true by mathematicians is a property ultimately based on physics—currently the physics of our brains.
Hmm, “justified” generally has a social component, so I doubt that this definition is useful.
So this WP page doesn’t exist? ;)
My position, FWIW, is that all of science is socially mediated (as a consequence of being a human activity), mathematics no less than any other science. Whether a mathematical proposition will be assessed as true by mathematicians is a property ultimately based on physics—currently the physics of our brains.