Induction

inductionMathematical induction is a process of reasoning that generalizes general principles from a series of specific facts. The inductive method in mathematics refers to a thinking method that generalizes general concepts, principles or conclusions from multiple things.

Induction can be divided into complete induction and incomplete induction:

• Complete induction: a method that includes all objects of this type and thus draws a general conclusion about this type of object;
• Incomplete induction: a method of reasoning that discovers the inherent properties of a certain type of thing through observation and research, and constantly repeats opposite examples that have not been encountered, so as to determine that all objects of this type have this property.

Incomplete induction is divided into simple enumeration induction and scientific induction. The conclusion of simple enumeration induction is probabilistic and may be true or false.