math 116 notes week 6
math 116 notes week 6 MATH 116
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This 2 page Class Notes was uploaded by Stacey Boateng on Friday March 4, 2016. The Class Notes belongs to MATH 116 at Radford University taught by William Case in Spring 2016. Since its upload, it has received 8 views. For similar materials see Math and Humanity in Mathematics (M) at Radford University.
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Date Created: 03/04/16
Math 116: Logical Statements. Statement: a group of words or symbols that can be classified as true or false Examples: Annapolis is the capitol of Maryland Calculus is a branch of mathematics 1+1=2 Non-statements: go away- command what are you eating? - question Statement or not: Kale is green-statement What is your favorite color? –not Negation: a statement that has opposite meaning of the original statement Examples: Statement: The earth spins on its axis Negation: The earth does not spin on its axis Statement: all lunches are free Negation: not all lunches are free Logical symbols: Connector Symbol and Or If-then negation Convert the following statement into a logical statement in words M: Mike is taking chemistry 101 R: Ryane is taking biology 105 1. MR- Mike is taking chemistry 101 or Ryane is taking biology 105 2. MR- Mike is not taking chemistry 101 and Ryane is not taking biology 105 Convert the following logical word statement into a logical statement in symbols 1. MR- Mike is not taking chemistry 101 or Ryane is taking biology 105 Conditional: P Q P: Hypothesis Q: Conclusion Q P: Converse P Q: Inverse Q P: Contraposition Examples: if it rains it pours Converse: if it pours it rains Inverse: If its bot raining then its not pouring Contraposition: if its not pouring then its not raining
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