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Math 166 Lecture Notes L.2
Section L.2 Truth Tables
We will be examining the possibilities for the truth or falseness of logical statements
which combine any number of simple logical statements (propositions) with any of
several logical operations.
When doing so, we will use the basic concepts shown in the table below:
p q ~p p?q p?q p?q p?q * p?q *
T T F T T F T T
T F F F T T F F
F T T F T T T F
F F T F F F T T
* We will not be studying these last two in our course.
In order to examine the possibilities of a compound statement in an organized and
logical manner, we will build "truth tables".
Important note: When we build these tables, we will agree to follow a certain pattern
for the assignments of T and F to the various propositions involved.
If two propositions (p and q, for example) are involved, we will use this order:
p q additional columns will vary
T T
T F
F T
F F
If three propositions (p, q, and r, for exampl...

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