On Hume’s influence on the developmentand application of mathematics
The paper studies Hume’s influence on the application and development of the probability theory in the context of the induction problem. It shows Hume’s direct influence on Price who published Bayes’s texts, as well as his indirect influence on Bayes and Laplace. The author describes the factors which contributed to the understanding of Hume’s criticism of the probability theory by mathematicians and to the solution of the induction problem for equally probable events. Hume’s influence on the probability theory is considered as a model which determines the role and place of philosophical ideas in scientific research.