Logic (LESSON) - Truth Table, Negation, Conjunction, Dis junction,
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Here are the definitions of conditional and biconditional propositions: Conditional proposition: A proposition of the form "If p, then q" which is symbolized as p → q. It is only false when p is true and q is false. It is true in all other cases. Biconditional proposition: A proposition that links two statements such that the truth or falsity of one depends on the truth or falsity of the other. It is symbolized as p ↔ q and reads as "p if and only if q". It is true when p and q are either both true or both false, and false otherwise.
Logic (LESSON) - Truth Table, Negation, Conjunction, Dis junction,
- 1. GOOD DAY
- 3. KINDLY ARRANGEYOUR CHAIR PLEASE PICK PIECESOFTRASH OR PAPER UNDERNEATH YOUR CHAIR OBSERVE PROPER SEATING ARRANGEMENT PLEASE MAINTAINORDERLINESS INSIDETHE ROOM.
- 4. RECAL L
- 5. Each group will be given a slip of paper. Determine whether each of the following statements is a proposition or not. And determine if they are simple or compound proposition. If it is a proposition, give its truth value.
- 6. P: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the logic exam. s: Welcome to the Philippines! t: 3 + 2 =5 u: f(x) = 𝒙 𝒙+𝟏 is a rational function. v: What is the domain of the function? p1: It is not the case that 𝟐 is a rational number. p2: Either logic is fun and interesting, or it is boring. P3: If you are a Grade 11 student, then you are a Filipino. P4: If you are more than 60 years old, then you are entitled to a Senior Citizen’s card, and if you are entitled to a Senior Citizen’s card, then you are more than 60 years old. PROPOSITION PROPOSITION PROPOSITION PROPOSITION PROPOSITION PROPOSITION PROPOSITION PROPOSITION NOT A PROPOSITION NOT A PROPOSITION NOT A PROPOSITION
- 7. p,r,t and u – simple proposition P1,p2,p3 and p4 simple compound proposition (not,and,or, if- then)
- 9. CONSTRUCT ME !!! (truth table)
- 10. Given the proposition p and q. (2), there will be 4 rows. 22= 4. EXAMPLE p q T T T F F T F F
- 11. Suppose p, q and r are propositions. There will be 8 rows. 23=8. p q r T T T T T F T F T T F F F T T F T F F F T F F F
- 13. RUBRICS CRITERIA 5 3 1 CONTENT Completely Answered 2-3 Missing answer 4 OR MORE SPEED FIRST TO FINISH 2ND AND 3rd LAST PRESENTATI ON Clearly illustrated Fairly illustrated illustrated
- 14. Negation of Proposition. Ex ~T = F (negation of True is False), ~F = T (negation of False is True) p q r ~p ~q ~r T T T F F F T T F T F T T F F F T T F T F F F T F F F
- 15. p q r ~p ~q ~r T T T F F F T T F F F T T F T F T F T F F F T T F T T T F F F T F T F T F F T T T F F F F T T T ANSWE R
- 17. RUBRICS CRITERIA 5 3 1 CONTENT Completely Answered 2-3 Missing answer 4 OR MORE SPEED FIRST TO FINISH 2ND AND 3rd LAST PRESENTATI ON Clearly illustrated Fairly illustrated illustrated
- 18. Conjunction of proposition. Ex. p^q (read as p and q). This is only true if both conjuncts are true. p q r p^q p^r q^r T T T T T T T T F F T F T T F F F T T F T F F F T F F F
- 19. p q r p^q p^r q^r T T T T T T T T F T F F T F T F T F T F F F F F F T T F F T F T F F F F F F T F F F F F F F F F ANSWER
- 21. Disjunctions denoted by p v q. (read as p or q), is true only is p and q are false. p q r p v q p v r q v r T T T F F F T T F T F T T F F F T T F T F F F T F F F
- 22. ANSWER p q r p v q p v r q v r T T T F F F T T F F F F T F T F F F T F F F F T F T T F F F F T F F T T F F T T F F F F F T T T
- 23. How do we express a given proposition into its negation? Can it be possible that the given ~p can be true? How? How Conjunction differ to disjunction? Can we express a negation of conjunction and disjunction?
- 24. The negation of proposition is denoted by ~p. The conjunction of proposition is denoted by p ^ q, where if both proposition is true then the truth value is true. The disjunction of proposition is denoted by p v q, where if both proposition is false then the truth value is true. Remember:
- 26. r v ( ~p) (~q) ^ r ~p ~r ^ ( ~p) ~r ^ ( p)
- 27. A.Directions: Given the propositions write its English expression or its logical symbol or vice versa. p: Cristina ride a jeepney. q: Howey eats breakfast r: Daniel is in love with Kath B. Complete the Truth table by filling the empty numbered box on your answer sheets. SEATWORK:
- 28. ANWER KEY 1. Daniel Padilla is not in love with Kathryn Bernardo. 2. Either Daniel Padilla is in love with Kathryn Bernardo or Howey did not eat breakfast. 3. Cristina ride a jeep and Howey eats breakfast. 4. Either Daniel Padilla is inlove with Kath or Cristina did not ride a jeepney. 5. Both Cristina did not ride a jeepney and Howey eats breakfast. 6. r v ( ~p) 7. (~q) ^ r 8. ~p
- 29. p q r ~p p ^ r q v r T T T F T F T T F F T F T F T F T F T F F F F T F T T T F F F T F T F F F F T T F F F F F T T T B. ANSWER KEY
- 30. REFLECTION: LOGIC is the beginning of wisdom, not the end.
- 31. Assignment: Define conditional and biconditional proposition. Ref: General Mathematics book (LM) Pages 296-298 (notebook)