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  • Index of Mathematical Symbols
  • Index of Shapes
  • Index of Graphs
  • Table of Trigonometric Identities
  • Equations of Surfaces in 3-Dimensions
  • Divisibility Rules for 1 to 10
  • Geometric Proof of the Quadratic Formula
  • Proof that sin(x) ≤ x for All Positive Real Numbers
  • The Golden Ratio
  • Irrational Powers of Irrational Numbers
  • Proof that there are Infinitely Many Primes
  • Proof that the Set of Real Numbers is Uncountable
  • A Formula for the Sum of the First n Natural Numbers
  • Proof that Pi is Irrational
  • Proof that e is Irrational
  • Jensen's Inequality
  • The AM-GM Inequality

Propositional Logic

  • Propositional Logic Connectives
  • Formulas in Propositional Logic
  • The Semantics of Propositional Logic
  • Tautologies and Contradictions
  • Logical Equivalence of Formulas
  • The Laws of Propositional Logic
  • The Contrapositive, Converse, and Inverse of an Implication
  • Valid Arguments
  • Modus Ponens
  • Modus Tollens
  • The Law of Syllogism
  • Determining the Validity of an Argument by Rules of Inference
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