For example, in a plane, the sum of internal angles of right triangle is 180 degrees, the sum of internal angles of acute triangle is 180 degrees, and the sum of internal angles of obtuse triangle is 180 degrees. Right triangle, acute triangle and obtuse triangle are all triangles. Therefore, the sum of the internal angles of all triangles on the plane is 180 degrees.

Based on the individual knowledge that the sum of internal angles of right triangle, acute triangle and obtuse triangle is 180 degrees respectively, this example deduces the general conclusion that the sum of internal angles of all triangles is 180 degrees, which belongs to inductive reasoning.

classify

Traditionally, inductive reasoning is divided into complete inductive reasoning and incomplete inductive reasoning according to the different scope of the object under investigation. Complete inductive reasoning examines all the objects of a certain kind of things, while incomplete inductive reasoning only examines some objects of a certain kind of things. Furthermore, according to whether the premise reveals the causal relationship between the object and its attributes, incomplete inductive reasoning can be divided into simple enumeration inductive reasoning and scientific inductive reasoning.

Modern inductive logic mainly studies probabilistic reasoning and statistical reasoning. The premise of inductive reasoning is the necessary condition of its conclusion. Secondly, the premise of inductive reasoning is true, but the conclusion is not necessarily true and may be false.

Expand knowledge:

Mathematical induction is a method that is often used to prove that propositions are established in the range of natural numbers. There are two steps: first, prove that the proposition holds when n= 1; Then suppose that the proposition holds when n=k, and prove that the proposition also holds when n=k+ 1 It can be inferred that this proposition holds for any natural number n.

Induction is helpful for us to discover new knowledge and establish theory, but we should also pay attention to its possible errors or incompleteness. Because the conclusion is not necessarily correct, only the credibility is high. If we observe a counterexample or find a deeper reason, we may need to modify or abandon the original conclusion.