Statements  Logic
Statements
Lessons
Notes:
Notes:
A statement (closed sentence) is a sentence that is either true or false, but not both. We can denote each statement as a letter. For example,
$p$: 1 cm is exactly equal to 10 mm
If we can determine the truth or falsity of a statement, then it has a truth value.
An open sentence is a sentence that has a variable. The truth value depends on that variable.
The Domain (or replacement set) is a list of elements that can be used to replace the variable.
The truth set is the list of elements from the domain that makes the open sentence true.

Intro Lesson
Statements Overview:

1.
Truth value of a Statement
Determine the truth value of each statement:

2.
Variables of Open Sentences
Determine the variable of each open sentence:

3.
Use the domain {triangle, rectangle, square, parallelogram, pentagon, hexagon} to find the truth set for each open sentence:

4.
Open sentence, statement, or neither?
Are the following sentences an open sentence or a closed sentence (statement), or neither? If it is an open sentence, find the variable. If it is a statement, then find the truth value.