  This article solves the Hume's problem of induction using a probabilistic
approach. From the probabilistic perspective, the core task of induction is to
estimate the probability of an event and judge the accuracy of the estimation.
Following this principle, the article provides a method for calculating the
confidence on a given confidence interval, and furthermore, degree of
confirmation. The law of large numbers shows that as the number of experiments
tends to infinity, for any small confidence interval, the confidence approaches
100\% in a probabilistic sense, thus the Hume's problem of induction is solved.
The foundation of this method is the existence of probability, or in other
words, the identity of physical laws. The article points out that it cannot be
guaranteed that all things possess identity, but humans only concern themselves
with things that possess identity, and identity is built on the foundation of
pragmatism. After solving the Hum's problem, a novel demarcation of science are
proposed, providing science with the legitimacy of being referred to as truth.
