## Quiz 2

I am going to try the projection of the quiz again but in B217.

The second 2.5% quiz will be 15.05 pm (SHARP), Monday 27 February in B217. The quiz will be projected on the screen, and you will write your answers on a sheet I hand out at the start of class.

The quiz will be bases on sections 2.1, 2.2, and 2.3. You will need to know what a proposition is, you will need to understand the basic logical connectives $\neg,\vee,\wedge$ (but not the material implication nor biconditional). You will also need to be able to complete and construct truth tables.

## Week 3

Well, Week 3 was a disaster with the cyber attack.

## Week 4

We continued talking about logic. We had some extra tutorial time on Wednesday, and we will probably have this on Tuesdays in future.

This is what we have done thus far in logic:

• You should know that a proposition is a statement that can be assigned a truth value: either true (T) or false (F).
• Given a proposition $p$ you can form a proposition $\neg p$, the negation, which is true whenever $p$ is NOT true.
• Given propositions $p,q$ you can form the proposition $p\vee q$, the disjunction. This is a proposition that is true when either $p$ OR $q$ (or both) are true.
• Given propositions $p,q$ you can form the proposition $p\wedge q$, the conjunction. This is a proposition that is true when both $p$ AND $q$ are true.
• A truth table for a compound proposition, a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$, gives all the $2^n$ possible truth assignments of $p_1,p_2\dots,p_n$, and the corresponding truth value of the compound proposition.
• Given propositions $p,q$ you can form the proposition $p\to q$, the material implication. Said “if $p$ then $q$”, or $p$ implies $q$, it is false only if $p$ is true and $q$ is false.
• Given propositions $p,q$ you can form the proposition $p\leftrightarrow q$, the biconditional. Said “$p$ if and only if $q$“. It is true when the truth values of $p$ and $q$ are EQUAL.
• Given a compound proposition $p$, a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$, we say that $p$ is a tautology if it is true for all truth values of $p_1,\dots,p_n$.Given a compound proposition $p$, a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$, we say that $p$ is a contradiction if it is false for all truth values of $p_1,\dots,p_n$.

## Week 5

We will continue our work on logic.

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## Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

70% Terminal Exam

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