Mathematical Logic and Methods of Proofs 4-3
4.3.1 Simple Propositions
The following propositions are simple propositions:
1. The sun rises in the east.
2. Einstein was a genius.
3. Newton was a great mathematician.
4. Roses are red.
5. The value of p is 3.14159265
6. The value of e is 2.71828
4.3.2 Compound Proposition
A compound proposition is formed by two or more simple propositions by using logical
connectives And, Or and Not.
1. Let p: It is raining.
q: It is very cloudy.
The compound statement of the two simple propositions is p and q: It is raining and it is
very cloudy.
2. Let p: 25 = 5
2
q: 3.15 > p
The compound statement is p and q: 25 = 5
2
and 3.15 > p
3. Let p: Ram is playing.
q: Ram is listening to music.
The compound statement ...