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COS101 discussion questions

Posted by becked 
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COS101 discussion questions
January 27, 2010 03:37PM
Module content related questions will be posted each week from 27 Jan. to 31 March during this semester on the myUnisa and Osprey web forums. These questions require insight and were chosen because students usually have difficulty in understanding these concepts. You can discuss the questions with other students and expand your discussions on these concepts. We as lecturers will not necessarily play an active part in the discussions. You will not receive solutions to these questions in a tutorial letter.

Now for this week's question:

Give examples of propositions (sentences) that can be presented by the propositional variables p, q and r, then write down the compound proposition (¬q ^ p) --> (r v q) in terms of the sentences.
avatar Re: COS101 discussion questions
February 20, 2010 09:42PM
i dont see alot of people participating... why?
avatar Re: COS101 discussion questions
February 20, 2010 10:07PM
If Pierre is older than 30(p) AND NOT dressed like a gentleman(q) THEN neither he needs to bring orange juice(r) NOR dress like a gentleman(q)

p = Age
q = Clothes
r = Drinks

See truth table attachment for only one row of propositional values result in FALSE. (is the 3rd row correct, or 4th) ?

Re: COS101 discussion questions
March 12, 2010 11:44AM
Refer to the above example:

State it as follows: Let p = Pierre is older than 30,
q = Pierre is dressed like a gentleman and
r = Pierre brings orange juice.
then the sentence 'If Pierre is older than 30 AND NOT dressed like a gentleman THEN neither he needs to bring orange juice NOR dress like a gentleman.'
can be written as
(p-->(¬q))-->((¬r)^(¬q))

(¬q ^ p) --> (r v q) ito the given sentences:
'If Pierre is NOT dressed like a gentleman AND he is older than 30, THEN he brings orange juice OR is dressed like a gentleman.

Refer to E&C p 27: (r or q) can be described as (either r or q). NOT(either r or q) is the same as saying (neither r nor q) which is the same as saying (not r and not q), i.e. (¬r)^(¬q) which is depicted in the first example. However in the requested example (¬q ^ p) --> (r v q), r v q only means r or q (i.e. either r or q). We prefer to only use r OR q - see tut 102.
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