Every area of human cognition is affected by philosophy. Mathematics certainly merits its own philosophic treatment.
A simple yet important example is treatment of integers vs. real numbers.
In reality, integers map to the counting of discrete entities. Reals map to measurement of the attributes of entities. 'Entity' and 'Attribute' are already in the philosophic realm because they're fundamental concepts. These are important and valid distinctions.
Far more can be said about these kind of philosophic classifications, and better understanding of them will lead to a better grasp of the connections between mathematics and the real world.
A simple yet important example is treatment of integers vs. real numbers.
In reality, integers map to the counting of discrete entities. Reals map to measurement of the attributes of entities. 'Entity' and 'Attribute' are already in the philosophic realm because they're fundamental concepts. These are important and valid distinctions.
Far more can be said about these kind of philosophic classifications, and better understanding of them will lead to a better grasp of the connections between mathematics and the real world.