Disjunction
Another way to combine two Propositions using the connective "or".
The proposition or is true if or is true.
p: Harry likes pepporoni pizza for lunch
q: Harry likes mushroom pizza for lunch
Their disjunction is given by:
: Harry likes pepperoni pizza for lunch or Harry likes mushroom pizza for lunch.
This sentence, however, is often written as:
: Harry likes pepperoni or mushroom pizza for lunch.
Note that either could be try and the disjunction would still be true. It's not an exclusive or.
T | T | T |
T | F | T |
F | T | T |
F | F | F |