1 / 14

2-2 Logic

2-2 Logic. Ms. Andrejko. Real World. Legally Blonde. Vocabulary. Statement- a sentence that is either true or false Truth Value- the truth value of a statement must either be true or false Negation- the statement takes on the opposite meaning and opposite truth value

lydia-gallagher
Download Presentation

2-2 Logic

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2-2 Logic Ms. Andrejko

  2. Real World • Legally Blonde

  3. Vocabulary • Statement-a sentence that is either true or false • Truth Value- the truth value of a statement must either be true or false • Negation- the statement takes on the opposite meaning and opposite truth value • Compound statement- two or more statements joined by the word and or or. • Conjunction- a compound statement using the word and • Disjunction- A compound statement that uses the word or. • Truth table- used to determine truth values of negations and compound statements

  4. Notations AND OR NEGATION

  5. TRUTH TABLES CONJUNCTION NEGATION DISJUNCTION

  6. EXAMPLES - Find the truth value: • We are in room 604 • My name is Ms. Stoffers • Geometry is the 2nd course in the HS math sequence, and it is snowing outside • ~(We have an ocean in Arizona) • A dog is a mammal or a bird is an amphibian TRUE FALSE TRUE & FALSE = FALSE TRUE TRUE or FALSE = TRUE

  7. PRACTICE- Find the truth value: • June has 30 days • There are 14 months in a year • SDOH’s colors are blue and gold and SDOHS’s mascot is a tiger • ~(The Cardinals are the home football team to Detroit) • Phoenix is the capital of Arizona or Arizona State University’s mascot is a wildcat. TRUE FALSE TRUE & FALSE = FALSE TRUE TRUE or FALSE = TRUE

  8. Examples Use the following statements to write a compound statement. Then find it’s truth value: p: 60 seconds = 1 minute q: Congruent supplementary angles each have a measure of 90 r: -12 + 11< -1 1. p∧q Statement: 60 seconds equals 1 minute, and congruent supplementary angles each have a measure of 90 T ∧ T = T Statement: 60 seconds DOES NOT equal 1 minute, and congruent supplementary angles each have a measure of 90 2.~ p∨q F ∨ T = T

  9. Practice Use the following statements to write a compound statement. Then find it’s truth value: p: 60 seonds = 1 minute q: Congruent supplementary angles each have a measure of 90 r: -12 + 11< -1 1. q∨r Statement: Congruent supplementary angles each have a measure of 90 or -12 + 11 < -1 T ∨ F = T Statement: 60 seconds DOES NOT equal 1 minute, or -12 + 11 is not less than -1 2.~ p∨~r F ∨ T = T

  10. In your foldable… Negation Disjunction Conjunction

  11. Example - Complete the Truth Table F F F∨F = F F T F∨T = T T F T∨F = T T T T∨T = T

  12. Example - Complete the Truth Table F F ∧ T = F T F T F∧F = F T T∧ T = T F T T∧F = F T

  13. Example – Construct a truth table ~q ∧ r F F ∧ T = F F F∧F = F T∧ T = T T T T∧F = F

  14. Practice– Construct a truth table ~p∨r F F ∨ T = T F F ∨ F = F T T ∨ T = T T T∨ F = T

More Related