lecture notes9

C x12 d xyz proposi1onallogic constructingpropositions

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Unformatted text preview: apositive,
inverse,
converse
   Biconditional
   Truth
Tables
 Proposi1ons
   A
proposition
is
a
declarative
sentence
that
is
either
true
or
 false.
   Examples
of
propositions:
 a)  b)  c)  d)  e)  The
Moon
is
made
of
green
cheese.
 Trenton
is
the
capital
of
New
Jersey.
 Toronto
is
the
capital
of
Canada.
 1
+
0
=
1 0
+
0
=
2   Examples
that
are
not
propositions.
 a)  Sit
down!
 b)  What
time
is
it?
 c)  x
+
1
=
2
 d)  x
+
y
=
z
 Proposi1onal
Logic
   Constructing
Propositions
   Propositional
Variables:
p,
q,
r,
s,
…
   The
proposition
that
is
always
true
is
denoted
by
T
and
 the
proposition
that
is
always
false
is
denoted
by
F.
   Compound
Propositions;
constructed
from
logical
 connectives
and
other
propositions
   Negation
¬
 Co...
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This document was uploaded on 03/06/2014 for the course MATH 320 at CSU Northridge.

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