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Discrete Mathematics Lecture

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Genie Rose Santos
Genie Rose Santos

The document discusses key concepts in discrete mathematics and logic. It defines propositions as basic building blocks represented by letters, and connectives as operators used to combine propositions like conjunction, disjunction, negation, and conditional statements. It provides truth tables showing the truth values of propositions under different connectives and examples of applying these logic rules.

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DISCRETE MATHEMATICS
LOGIC
All Mathematicians wear sandals Anyone who wears sandals is an algebraist Therefore, all mathematicians are algebraist
LOGIC ,[object Object],[object Object],[object Object]
Propositions ,[object Object],[object Object],[object Object],[object Object]
Connectives ,[object Object]
Kinds Of Connectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Kinds Of Connectives ,[object Object],[object Object],[object Object]
Truth Table Of A Proposition ,[object Object]
CONJUCTION p q T T T T F F F T F F F F
DISJUNCTION p q T T T T F T F T T F F F
NEGATION p -p q -q T F T F
IF-THEN STATEMENTS ,[object Object],[object Object]
IF-THEN STATEMENTS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
IF-THEN STATEMENT ,[object Object],[object Object],premise conclusion
IF-THEN STATEMENT ,[object Object],[object Object],p q
IF-THEN STATEMENTS ,[object Object]
If
If ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
CONDITIONAL STATEMENT p q p  q T T T T F F F T T F F T
BICONDITIONAL STATEMENT ,[object Object],[object Object]
BICONDITIONAL STATEMENT p q T T T T F F F T F F F T
Example: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CONJUNCTION ,[object Object],[object Object],[object Object]
DISJUNCTION ,[object Object],[object Object],[object Object]
NEGATION ,[object Object],[object Object],[object Object],[object Object]
CONDITIONAL STATEMENT ,[object Object],[object Object],[object Object],[object Object]
BI CONDITIONAL STATEMENT ,[object Object],[object Object],[object Object]

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Discrete Mathematics Lecture