Solving the Problem of Induction

TL;DR

This paper addresses Hume's problem of induction by proposing a probabilistic method that demonstrates how confidence in inductive reasoning approaches certainty with infinite data, thus providing a solution.

Contribution

It introduces a probabilistic approach to solve Hume's problem of induction, including methods for calculating confidence and confirmation degrees, grounded in the existence of probability.

Findings

Confidence approaches 100% as experiments increase infinitely

Provides a method for calculating confidence on intervals

Proposes a new demarcation of science based on probabilistic truth

Abstract

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.