[13] Maxwell's work has been devoted to tackling two fundamental interlinked problems:- Problem 1: How can we understand our human world, embedded as it is within the physical universe, in such a way that justice is done both to the richness, meaning and value of human life on the one hand, and to what modern science tells us about the physical universe on the other hand?
Problem 2: What ought to be the overall aims and methods of science, and of academic inquiry more generally, granted that the basic task is to help humanity achieve what is of value – a more civilised world – by cooperatively rational means (it being assumed that knowledge and understanding can be of value in themselves and form a part of civilised life)?
In connection with Problem 1, Maxwell has put forward a version of the double-aspect theory, according to which experiential and physical features of things both exist.
[14] In connection with Problem 2, Maxwell argues that the problematic aims of science, and of academic inquiry more generally, need much more honest and critical attention than they have received so far.
[16] His work is discussed by twelve scholars in Science and the Pursuit of Wisdom, edited by Leemon McHenry.