Mathematics And Plausible Reasoning. Induction ... <ULTIMATE>

might lead one to guess that every even number is the sum of two primes (Goldbach's conjecture).

: Mathematics "in the making"—an experimental science driven by hunches, analogies, and trial and error. Core Concepts of Plausible Reasoning Mathematics and Plausible Reasoning. Induction ...

The first volume of the set focuses on two primary tools for discovery: and Analogy . might lead one to guess that every even

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

: 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