Mathematical Proof/Appendix/Answer Key/Mathematical Proof/Introduction/Notation

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These are the answers to the exercises in section 1.2, Notation

  1. Use set theory notation
    1. P\cap L, where P is the set of all people and L is the set of all things with two legs.
    2. M-G, where M is the set of all mythological creatures and G is the set of all things that are Greek.
    3. A\cap B - C, where A is the set of all pies, B is the set of all things with pudding in them, and C is the set of all things with cream on the top.
  2. Venn Diagrams
  3. Negated statements
    1. \exists x\in A : \forall y\in B, \lnot P(x,y).
    2. There is a quick, brown fox that does not jump over any lazy dog.