logic, a conjunction is a compound
sentence formed by combining two sentences (or facts) using the
conjunction is true only when BOTH sentences
(or facts) are true.
"Blue is a
7 + 3 = 10."
Since both facts are true, the entire sentence is true.
hour = exactly 55 minutes and one minute =
exactly 60 seconds."
T = F) Since the first fact is false,
the entire sentence is false.
+ 4 = 6 and all dogs meow."
(F and F
Since both facts are false, the entire sentence is false.
often use symbols and tables to represent concepts in logic.
The use of these variables, symbols and tables creates a shorthand
method for discussing logical sentences.
table for conjunction (and):
symbol used for "and" in the table below)
truth table is a pictorial
representation of all of the possible outcomes of the truth
value of a compound sentence. Letters such as
are used to represent the facts (or sentences) within the
For a conjunction (and)
to be true, BOTH facts