Logical Statements and Connectives A logical statement is a statement that is either true or false. A connective is a word that joins two or more st...
Logical Statements and Connectives
A logical statement is a statement that is either true or false. A connective is a word that joins two or more statements together.
The connectives are:
and (and) : The statement is true if both statements are true.
or (or) : The statement is true if either statement is true.
implies (implies) : The statement is true if the first statement is true and the second statement is false.
Examples:
Statement: If it is raining, then the ground is wet.
Connective: and
Statement: Either it is raining or the ground is wet, but not both.
Statement: If I am reading this book, then I am a smart person.
Connective: implies
Truth Table:
| Statement | True | False |
|---|---|---|
| And | True | False |
| Or | True | False |
| Implies | False | True |
These truth tables help us to understand how logical statements and connectives work. By understanding these concepts, we can use them to solve mathematical problems and make inferences