دانلود کتاب اشیاء، ساختارها و منطق – مطالعات FilMat در فلسفه ریاضیات

A very important controversy raging within present-day philosophy of mathematics is the so-called ‘realism/anti-realism dispute.’ In such a dispute the realist, who holds that mathematics is about discovering and describing properties of entities which exist independently of our knowledge, is opposed by the anti-realist who does not share his conviction. Within the analytical tradition, the realism/anti-realism dispute about mathematics is considered to be metaphysical, because the belief in the existence (or non-existence) of mathematical reality is an essential component of our thought about the world.1 To this, we must add that if a belief X is an essential component of our thought about the world then X is one of the preconditions of experience, not an empirical hypothesis, that is, a belief the correctness of which can be empirically controlled.