: Unlike "mathematical induction" (a formal proof technique), Pólya’s induction is the process of observing patterns in specific cases to guess a general rule. For example, observing that

: The rigorous, finished science of Euclid, where everything is proven step-by-step.

The first volume of the set focuses on two primary tools for discovery: and Analogy .

: Volume II shifts to the "logic of plausibility," exploring what makes a guess more or less believable based on new evidence. Quotes on the "Practical Art" of Reasoning An introduction to mechanized reasoning - ScienceDirect

: This involves looking at a similar, simpler problem to gain insight into a complex one. If you can't solve a problem in 3D, try solving its 2D version first.