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Logic Conditional

c. Logic Conditional. Note: The only false conditional is the one when the simple statements are not alphabetical. A conditional, or if…then…, is true when the sentences are in alphabetical order. When we have “if T then F”, we have a false statement. The symbol for a conditional is :.

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Logic Conditional

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  1. c

  2. LogicConditional

  3. Note: The only false conditional is the one when the simple statements are not alphabetical. A conditional, or if…then…, is true when the sentences are in alphabetical order. When we have “if T then F”, we have a false statement. The symbol for a conditional is : Connectives: Conjunction – AND - Disjunction – OR - Conditional – If…then… - All possible outcomes for a conditional : F F

  4. The “if” part of a conditional is called the hypothesis. The “then” part is called the conclusion. Sometimes the sentence will be switched and the “if” will be in the middle. This is called a hidden conditional! The same rule as above still applies. 3. a. A polygon is a square. 3. b. It has four right angles. 4. a. It is noon. 4. b. It is time for lunch. 6. a. You are not interrupted. 6. b. Finish more quickly. 7. a. If the length of one side is s. 7. b. The perimeter of a square is 4s.

  5. A conditional, or if…then…, is true when the sentences are in alphabetical order. When we have “if T then F”, we have a false statement.

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  7. 1. (a1) If 8 is divisible by 4, then 8 is divisible by 2. 1. (a2) If 6 is divisible by 4, then 6 is divisible by 2. 1. (a3) If 7 is divisible by 4, then 7 is divisible by 2. 1. (b) No, because if a number is divisible by 4, then that same number is divisible by 2 because 4 is divisible by 2. 2. When the truth values are the same.

  8. 32. If July is a warm month, then I work in my garden. 36. If July is a warm month and I like flowers, then I am busy every day.

  9. Homework • Page 10-11 #11,13,15,18,20,22,24,26,28,30,33,38,47,49

  10. 33. If I am busy every day, then I do not work in my garden. 38. If July is not a warm month, then I am busy every day and I like flowers.

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