Abstract

There is no strict alignment between induction and fallibility, nor between deduction and certainty. Fallibility in deductive inferences, such as failed mathematical theorems, demonstrates that deduction does not guarantee certainty. Similarly, inductive reasoning, typically seen as weaker and more prone to uncertainty, is not inherently tied to fallibility. In fact, inductive generalizations can sometimes lead to certainty, especially in mathematical contexts. By decoupling induction from fallibility and deduction from certainty, we preserve the distinct nature of each form of reasoning, allowing them to be properly understood without unnecessary constraints.