Philosophy of mathematics

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Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathematical objects are purely abstract entities or are in some way concrete, and in what the relationship such objects have with physical reality consists.^[1]

Major themes that are dealt with in philosophy of mathematics include:

• Reality: The question is whether mathematics is a pure product of human mind or whether it has some reality by itself.
• Logic and rigor
• Relationship with physical reality
• Relationship with science
• Relationship with applications
• Mathematical truth
• Nature as human activity (science, art, game, or all together)