Logical Connectives: Conjunction, Disjunction & Implication
Big Idea: In mathematics, we often need to combine simple statements into more complex ones. Logical connectives are the tools we use to do this — just like how words such as "and," "or," and "if...then" connect ideas in everyday language.
1. What is a Proposition (Statement)?
Before we dive into connectives, we need to understand propositions. A proposition is a declarative sentence that is either true (T) or false (F), but not both.
✅ Propositions:
- "5 is a prime number" → True
- "$3 + 4 = 8$" → False
❌ Not Propositions:
- "What time is it?" (question)
- "$x + 2 = 7$" (depends on $x$, it's an open sentence)