{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture-03 - Lecture 3 Translating from spoken language to...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 3: Translating from spoken language to formal notation 1. Translating five statement operators 2. Translating compound statements 3. Translating arguments Five Statement Operators: Negation Negation is expressed in a number of ways in English The cat is on the mat. The cat is not on the mat. The cat is n’t on the mat. It is false that the cat is on the mat. Five Statement Operators: Negation The cat is on the mat. = C The cat is not on the mat. The cat is n’t on the mat. It is false that the cat is on the mat. ~ C Five Statement Operators: Conjunction Roses are red. = R Violets are blue. = V Roses are red and violets are blue. Roses are red but violets are blue. Both roses are red and violets are blue. R ! V Five Statement Operators: Conjunction Roses are red. = R Apples are red. = A Roses are red and apples are red. Roses and apples are red. Both roses and apples are red. R ! A Five Statement Operators: Conjunction Apples are sweet. = S Apples are red. = A Apples are sweet and apples are red. Apples are sweet and red. Apples are both sweet and red. S ! A
Image of page 1

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

View Full Document Right Arrow Icon
Five Statement Operators: Conjunction Components of a conjunction are conjuncts . S ! A Five Statement Operators: Disjunction Dallas will win the Superbowl. Buffalo will win the Superbowl. Dallas will win the Superbowl or Buffalo will win the Superbowl. Either Dallas will win the Superbowl or Buffalo will win the Superbowl. Five Statement Operators: Disjunction Either Dallas will win the Superbowl or Buffalo will win the Superbowl. Either Dallas or Buffalo will win the Superbowl. Dallas will win the Superbowl unless Buffalo wins the Superbowl. Five Statement Operators: Disjunction Dallas will win the Superbowl. = D Buffalo will win the Superbowl. = B Dallas will win the Superbowl or Buffalo will win the Superbowl. D v B Five Statement Operators: Disjunction Components of a disjunction are called disjuncts . D v B Five Statement Operators: Conditional You earn exactly 900 points. = N You get a some form of A. = A If you earn exactly 900 points, then you will get some form of A. N A Statement following ‘if’ is antecedent, statement following ‘then’ is consequent. (Does not apply to ‘ only if’.)
Image of page 2
Five Statement Operators: Conditional If you earn exactly 900 points, you will get some form of A. N A Statement following ‘if’ is antecedent, statement following where the ‘then’ would be is consequent.
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ 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