CHAPTER 4; Mathematical Reasoning~
- Mathematical Reasoning is a field of study regarding the methods and principles used to DIFFERENTIATE between TRUE statements and FALSE statements.
- A statement is sentence which is either true or false but NEVER BOTH.
- ''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.
- Negatiation is a process of changing a true statement to a false statement and nice versa by using the word ''NOT'' or ''NO''.
- A truth table is used to evaluate the truth value of a compund sentence.
- for two statements p and q, ''if p then q'' statement is an implication, where p is an ANTECEDENT and q is a CONSEQUENT.
- 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.
- An INDUCTION is a process to make a generalization conclusion based on specific cases.
- 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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