More on Logic and Proof

  • Intro

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  • Topics

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    • Building Mathematical Statements
    • Conditional Statements
    • The Quality of Equality
    • Proofs
    • Types of Proofs
  • Examples

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    • Building Mathematical Statements
    • Conditional Statements
    • Detachment and Syllogism
    • The Quality of Equality
    • Proofs
    • Algebraic Proofs
    • Congruence, Equality, and Geometry
    • Proof by Deduction
    • Proof by Induction
    • Induction in Action
    • Proof by Contradiction
  • Exercises

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    • Building Mathematical Statements
    • Conditional Statements
    • Detachment and Syllogism
    • The Quality of Equality
    • Proofs
    • Algebraic Proofs
    • Congruence, Equality, and Geometry
    • Proof by Deduction
    • Proof by Induction
    • Induction in Action
    • Proof by Contradiction
  • Math Shack Problems

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  • Quizzes

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    • Make a (Mathematical) Statement
    • Equality and Congruence for All!
    • Provin' and Groovin'
  • Terms

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  • Handouts

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  • Best of the Web

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  • Table of Contents

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Building Mathematical Statements

Mathematical statements are exactly the same as fashion statements. Except instead of clothes, we have mathematical formulas. Hopefully we won't get chilly walking down the runway. The simplest...

Conditional Statements

We make several kinds of statements every single day. Some of them are simple expressions of fact. You might say, "I'm going to Disneyland today!" or, "My favorite ride is Space Mountain!" or, "...

The Quality of Equality

Understanding equality, or sameness, is a universal theme in all areas of mathematics. When mathematicians say, "2 + 2 = 4," they mean that the two things on either side of the equal sign are liter...

Proofs

When detectives Benson and Stabler search a suspect's apartment, they aren't looking for just anything to give to the prosecutor. They need solid, tangible, and legally obtained evidence. (Although...

Types of Proofs

We've been proving stuff left and right. Now it's time to take a peek at what's going on under the hood. It's like we just learned to drive, and now we're about to get a crash course on how car eng...
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