Lecture Notes 1 - Logic...

Info icon This preview shows pages 1–3. Sign up to view the full content.

Logic 1 of 1 08/26/2003 03:33 PM prev | slides | next Logic 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:33 PM Logic prev | slides | next Propositions A proposition is a statement that is either true or false, but not both. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:33 PM Logic prev | slides | next Propositions: Example The following statements are propositions: 2 + 2 = 4 I am an American my hair is blue The following statements are not propositions: 6 + 8 Simon says "sit down" Do you want to go to the store? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Propositions We usually use lowercase letters for propositions: p, q, r, ... Let p be a proposition. The negation of p is written p (or p’ ) and is read "not p ." 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Truth Tables A truth table is a useful tool with which to analyse propositions. It works by listing all possible truth values of a set of propositions. All possible truth values of the proposition p are listed in the truth table p p t f f t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Conjunctions Let p and q be propositions. The proposition " p and q ", denoted p q , is true when p and q are both true, otherwise it is false.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.
  • Fall '09
  • Dr.JonathanSenning
  • Math, Logic, Logical connective, exclusive or, prev | slides

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern