1 / 3

Quiz 6

Quiz 6. 1.5 Methods of Proof. Quiz 5: Th. May 26 3.30-3.45 pm. 1) Give 2 rules of inference (no names, just the equations) and the tautologies on which they are based. 2) Formulate the following arguments symbolically and determine whether

zarifa
Télécharger la présentation

Quiz 6

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. Quiz 6 1.5 Methods of Proof.

  2. Quiz 5: Th. May 26 3.30-3.45 pm 1) Give 2 rules of inference (no names, just the equations) and the tautologies on which they are based. 2) Formulate the following arguments symbolically and determine whether each one is valid: (p=“I study hard”, q=“I get A’s”, r=“I get rich”) a) If I study hard then I get A’s. I did not study hard. Therefore: I will not get A’s. b) If I study hard then I get A’s If I don’t get rich then I don’t get A’s Therefore: I get rich c) If I study hard then I get A’s or I get rich I don’t get A’s and I don’t get rich Therefore: I don’t study hard.

  3. Answers Quiz 5 1) Give 2 rules of inference (no names, just the equations) and the tautologies on which they are based. book page 58 table 1. 2) Formulate the following arguments symbolically and determine whether each one is valid: (p=“I study hard”, q=“I get A’s”, r=“I get rich”) a) If I study hard then I get A’s. pq I did not study hard. NOT p Therefore: I will not get A’s. NOT q (invalid). b) If I study hard then I get A’s pq If I don’t get rich then I don’t get A’s NOT r  NOT q  qr Therefore: I get rich r (this is wrong because we don’t know if p=T, we may only conclude pr). c) If I study hard then I get A’s or I get rich p (q OR r)  (NOT q) AND (NOT r)  NOT p I don’t get A’s and I don’t get rich (NOT q) AND (NOT r) Therefore: I don’t study hard. NOT p (yes this is correct).

More Related