Propositional Logic (3)

Rule #3: Hypothetical Syllogism

P -> Q

Q -> R

P -> R

Examples

1. If the light is on -> there is a current flowing through the circuit

2. If there is a current flowing through the circuit -> the temperature of the wire goes up

3. If the light is on -> the temperature of the wire goes up

1. If it is raining -> there are clouds in the sky

2. If there are clouds in the sky -> less light reaches the surface of the earth

3. If it is raining -> less light will reach the surface of the earth

Reflections

This is quite a simple rule - it is very intuitive, and not much needs to be said on it!