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AND |
In logic,
two statements can be combined to form a compound statement
using the word "and". |
Logic
is the study of reasoning, and
it deals with statements that are either
true or
false. When
attempting to determine the truth value of a compound statement,
first determine the truth value (true
or false) of each of the components of
the statement.
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The
compound statement using "and"
is true only when
both statements (or facts) are
true. |
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A square
has 4 sides. (true) |
|
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A
triangle has 3 sides. (true) |
|
A
square has 4 sides and a
triangle has 3 sides. (true)
(T +
T) =
True |
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The
compound statement using "and"
is false when one
or both statements (or facts) are
false. |
|
|
A square
has 3 sides. (false) |
|
|
A
triangle has 3 sides. (true) |
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A
square has 3 sides and a
triangle has 3 sides. (false)
(F +
T) =
False |
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Examples:
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1. A
cat is an animal (true)
and 2 + 2 = 4 (true).
(T + T
= T)
Since
both facts are
true, the entire sentence is
true. |
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