Logic DeMYSTiFied by Tony Boutelle & Stan Gibilisco

Author:Tony Boutelle & Stan Gibilisco
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2011-12-26T16:00:00+00:00

chapter 6

Strategies for Proofs

Let’s revisit the elements that make up a mathematical theory, also called a mathematical system. Then we’ll look at some common techniques that theoreticians use to prove statements true or false in the context of the system. You got a taste of this methodology in Chap. 4. Now we’ll expand on that theme.

CHAPTER OBJECTiVES

In this chapter, you will

• Envision the structure of a theory.

• Formulate definitions and axioms.

• Outline the fundamental principles of euclidean geometry.

• Prove theorems in euclidean geometry.

• Learn to use mathematical induction.

• Compare correlation, causation, and implication.

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