Reasoning and imagining are seen as very different acts of mind. Imagination connotes the counterfactual and the unruly; reasoning connotes a realistic and rule-bound activity. Good reasoning depends crucially on the vigorous exercise of imagination. Good informal reasoning is as difficult, and as dependent on imagination, as mathematical…

Individual artistic creativity has no place in the development of art, science, or society. If an intellectual has a thorough understanding of intellectual traditions and appreciation of the situation, s/he needs to be no more than reasonable to produce what have been hitherto considered products of genius. (MT)

The creative act arises out of a need to explore human experience, and mathematics is a locus of creative activity. Mathematics should be taught to show the value of imagination and reasoning. (MT)

Presents the first of two articles examining Alfred North Whitehead's notion of the rhythm of the university, discussing the rhythm of teaching and learning, the importance of academic freedom to an imaginative faculty, and the relationship between Whitehead's own pedagogy and his considerable administrative practice. The paper's purpose is to…