The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability

These interlinking essays are connected by a core theme: the necessary

structures in reality that allow certain knowledge of absolute truths. Franklin’s

Aristotelian realist philosophy of mathematics shows how mathematical

truths are directly about physical reality, and at the same time certainly and

provably true. Ranging from mathematics to evidence evaluation to ethics, his

philosophy of probability sees the recreation of evidence to hypothesis, such as

in science and law, as purely logical, hence necessary. Here is an up-to-date

introduction to Franklin’s overall perspective.

James Franklin is Honorary Professor in the School of Mathematics and Statistics at the University of New South Wales, Sydney, Australia.

Jeremiah Joven Joaquin is Professor of Philosophy at the De La Salle University, Manila, Philippines.