If the "Some rectangles are not squares" is given as true, then according to the square of opposition which of the following statements can by immediately inferred to be false?

The correct option is: All rectangles are squares.

To understand why this is the correct answer, we can analyze the relationship between the statements using the traditional Square of Opposition in categorical logic. The square of opposition defines the relationships between four types of categorical propositions:
1. A proposition (Universal Affirmative): "All S are P" (e.g., "All rectangles are squares")
2. E proposition (Universal Negative): "No S are P" (e.g., "No rectangles are squares")
3. I proposition (Particular Affirmative): "Some S are P" (e.g., "Some rectangles are squares")
4. O proposition (Particular Negative): "Some S are not P" (e.g., "Some rectangles are not squares")

The question states that the O proposition ("Some rectangles are not squares") is true.

According to the Square of Opposition, the relationship between diagonally opposite corners is contradictory. The two pairs of contradictory propositions are:
- A and O
- E and I

By definition, contradictory propositions must have opposite truth values. This means that if one proposition is true, its contradictory partner must be false, and vice versa. They cannot both be true and they cannot both be false at the same time.

Since the proposition O ("Some rectangles are not squares") is given as true, its contradictory counterpart, which is the A proposition ("All rectangles are squares"), must immediately be inferred to be false.