To form new statement with the help of two or more than two statements using ........

Answer

To form a new statement using two or more statements in mathematical reasoning, we utilize logical connectives. Here’s a step-by-step solution:

### Step-by-Step Solution:

1. **Identify the Statements**: Let's denote the statements as S1, S2, S3, etc. For example, let S1 be "It is raining" (p) and S2 be "It is cold" (q).

2. **Choose the Connectives**: Connectives are used to combine these statements. The most common connectives are:
- **Conjunction (AND)**: Symbolized by ∧. The statement "p AND q" is true only if both p and q are true.
- **Disjunction (OR)**: Symbolized by ∨. The statement "p OR q" is true if at least one of p or q is true.
- **Negation (NOT)**: Symbolized by ¬. The statement "NOT p" is true if p is false.

3. **Formulate the New Statement**: Using the chosen connectives, we can create a new statement. For example:
- Using conjunction: "It is raining AND it is cold" can be written as p ∧ q.
- Using disjunction: "It is raining OR it is cold" can be written as p ∨ q.
- Combining more statements: "It is raining AND it is cold AND it is windy" can be written as p ∧ q ∧ r (where r is "It is windy").

4. **Conclusion**: The new statement formed by connecting the original statements using logical connectives is the desired outcome. Therefore, the answer to the question is that we use **connectives** to form new statements.