Abstract

This paper argues that mathematics is imbued with values reflecting its production from human imagination and dialogue. Epistemological, ontological, aesthetic and ethical values are specified, both overt and covert. Within the culture of mathematics, the overt values of truth, beauty, purity, universalism, objectivism, rationalism and utility are identified. In contrast, hidden within mathematics and its culture are the covert values of objectism and ethics, including the specific ethical values of separatism, openness, fairness and democracy. Some of these values emerge from a dialogical view of the nature of mathematics, and certainly from the dialogical nature of culture. It is acknowledged that the choice of certain perspectives, such as absolutism, lead to the appearance of mathematics as largely value-free through hiding value-assumptions behind the initial choice of philosophy. By uncovering the values of mathematics I show that it more closely resembles other components of human culture than is usually recognised.