James Franklin is a professor of mathematics at the University of New South Wales, Sydney, Australia. He writes on the philosophy of mathematics, risk, ethics, the history of ideas and other topics.

Before Pascal and Fermat's discovery of the mathematics of probability in 1654, how did we make reliable predictions? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; scientists weighed reasons for and against scientific theories; and merchants counted shipwrecks to determine insurance rates. Sometimes this type of reasoning avoided numbers entirely, as in the legal standard of "proof beyond a reasonable doubt"; at other times it involved rough numerical estimates, as in gambling odds or the level of risk in chance events.

The Science of Conjecture provides a history of rational methods of dealing with uncertainty. Everyone can take a rough account of risk, Franklin argues, but understanding the principles of probability and using them to improve performance poses serious problems, the solution to which we have only learned over many generations and after much trial and error. This study explores the coming to consciousness of the human understanding of risk.