section 2 2 logic
Download
Skip this Video
Download Presentation
Section 2-2: Logic

Loading in 2 Seconds...

play fullscreen
1 / 9

Section 2-2: Logic - PowerPoint PPT Presentation


  • 87 Views
  • Uploaded on

Section 2-2: Logic. Statement : Any sentence that is either true or false, but not both. Statements are often represented using a letter such as p or q. Example: p : Detroit is a city in Michigan. Section 2-2: Logic. Truth Value : The truth or falsity of a statement.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Section 2-2: Logic ' - glyn


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
section 2 2 logic
Section 2-2: Logic
  • Statement: Any sentence that is either true or false, but not both.
    • Statements are often represented using a letter such as p or q.
    • Example: p: Detroit is a city in Michigan.
section 2 2 logic1
Section 2-2: Logic
  • Truth Value: The truth or falsity of a statement.
    • Example: p: Detroit is a city in Michigan.
    • The above statement is True.
section 2 2 logic2
Section 2-2: Logic
  • Negation: A statement that has the opposite meaning as well as an opposite truth value.
    • Not p: Detroit is not a city in Michigan.
    • In this case, the above statement has a truth value of False.
    • Not p is shown as ~p.
section 2 2 logic3
Section 2-2: Logic
  • Compound Statement: Two statements that are joined.
    • p: Detroit is a city in Michigan.
    • q: Detroit is the capital of Michigan.
    • p and q: Detroit is a city in Michigan and Detroit is the capital of Michigan.
section 2 2 logic4
Section 2-2: Logic
  • Conjunction: a compound statement formed by joining two or more statements with the word and.
  • Symbols: p ^ q
section 2 2 logic5
Section 2-2: Logic
  • Disjunction: A compound statement formed by joining two or more statements with the word or.
  • Symbols: p V q
section 2 2 logic6
Section 2-2: Logic
  • Example:

p: One foot is 14 inches

q: September has 30 days

r: A plane is defined by three noncollinear points.

p^q ~q^r

r^p ~p ^ r

pVqqVr

section 2 2 logic7
Section 2-2: Logic
  • A convenient method for organizing the truth values of statements is to use a truth table.
section 2 2 logic8
Section 2-2: Logic
  • Homework:

Pages 103-104, #11 – 29 odd

ad