Wednesday, February 27, 2013

CHAPTER 4;  Mathematical Reasoning~

  1. Mathematical Reasoning is a field of study regarding the methods and principles used to DIFFERENTIATE  between TRUE statements and  FALSE statements.
  2. A statement is  sentence which is either true or false but NEVER BOTH.
  3. ''ALL'' is a quantifiers implies  EVERY object or case that satisfies certains conditions. ''SOME'' is a quantifiers implies A FEW and not necessarily every object or case that satisfies certain conditions.
  4. Negatiation is a process of changing a true statement to a false statement and nice versa by using the word ''NOT'' or ''NO''.
  5. A truth table is used to evaluate the truth value of a compund sentence.
  6. for two statements p and q, ''if p then q'' statement is an implication, where p is an ANTECEDENT and q is a CONSEQUENT.
  7. An ARGUMENT is a process to make a conclusion based on given statements. the statements are called PREMISES. the premises and a conclusion form an argument.
  8. An INDUCTION is a process to make a generalization conclusion based on specific cases.
  9. A DEDUCTION is a process to make a generalization based on specific statement.
 just watch this video to understand better :)
http://www.youtube.com/watch?v=NXzGjH2x1gQ

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