In-class Tasks Assigned

Problem Set 1: Propositions

1. Write down at least 10 alternative form of conditional statement \(p\rightarrow q\) and give plain English sentence example of each. In all the examples, identify propositions \(p,q\).

2. Differentiate between inclusive disjunction and exclusive disjunction.

3. Write down alternative English phrases (other than \(\textit{if and only if}\)) that represent binconditional statement \( p \leftrightarrow q\).

4. Use Truth Table to show three examples of Tautology, Contradiction and Contingency.

5. Write down the propositional form of the below sentences:

   1. \(\textit{I will go to St. Martin's Island unless I get an alternative offer to be at Sylhet.}\)

   2. \( \textit{If you have CSE173 class then it is Monday, and vice versa}\)