Question

No m are p. Some m are not s. Some s are not p. Which of the following statements is true?

1) All m are p.
2) All m are s.
3) Some p are s.
4) Some p are not s.

Answer 1

Based on the logical analysis of the given statements, none of the options provided (All m are p, All m are s, Some p are s, Some p are not s) can be confirmed as true without additional information.

Step-by-step explanation:

The original statements given are:

• No m are p.
• Some m are not s.
• Some s are not p.

Based on these statements, the following analysis can be made for the options provided:

1. All m are p. - This is false because it directly contradicts the first statement.
2. All m are s. - This cannot be concluded from the information given, so it is not necessarily true.
3. Some p are s. - From the given statements, we cannot confirm or deny this, so it cannot be concluded as true.
4. Some p are not s. - While some s are not p is given, this does not ensure the inverse is true, so it cannot be accepted without additional information.

Considering the rules of logic, none of the given statements can be confirmed as true based solely on the initial information provided.