Truth Values
In logic, we assign a truth value to every statement. Classical logic is bivalent: every statement is either true (1) or false (0).
- 1 = true
- 0 = false
This notation shows that the truth value of a statement p is always an element of the set {0,1}.
Examples
- "10 is divisible by 2" → truth value 1.
- "15 is a prime number" → truth value 0.
- "The sky is blue" → truth value 1.
Everyday Application
The concept of truth values is also the foundation of computer science. Computer operation is built on 0 and 1 logic: every instruction, data, and condition can be traced back to truth values.
Summary
Every logical statement has a truth value, which in classical logic is either 0 (false) or 1 (true). This is the basis of thinking in mathematics and computer science.
Practice Exercise
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