Yes, ∧ is indeed a logic symbol.
In logic, the symbol ∧ represents the logical connective called conjunction, often read as "and". It combines two propositions, and the resulting expression is true only if both propositions are true.
For example:
- P: The sun is shining.
- Q: The sky is blue.
Then, P ∧ Q means "The sun is shining and the sky is blue." This statement is only true if both "The sun is shining" is true AND "The sky is blue" is true. If either or both are false, the entire statement P ∧ Q is false.
Here's a truth table illustrating the behavior of the conjunction operator ∧:
| P | Q | P ∧ Q |
|---|---|---|
| True | True | True |
| True | False | False |
| False | True | False |
| False | False | False |
Therefore, ∧ is a fundamental symbol used to represent the "and" operation in logic.
