The problem of induction, famously articulated by David Hume, questions the logical justification for inferring future events from past experiences. We observe that the sun has risen every day in the past, and we confidently predict it will rise tomorrow. However, Hume argues that this prediction is not based on logical necessity or any demonstrable proof, but rather on custom and habit. There is no logical contradiction in imagining the sun not rising tomorrow, just as there is no logical contradiction in the past events we have observed not repeating. The inference relies on the assumption that the future will resemble the past, an assumption that itself cannot be proven by past experience without circularity. This problem has profound implications for science, philosophy, and everyday reasoning, as much of our knowledge and decision-making is based on inductive inferences.