If the statement, 'Some plants are not carnivorous' is given as false, then which of the following could be immediately inferred from it?

A. 'Some plants are carnivorous' is true

B. 'Some plants are carnivorous' is false

C. 'No plants are carnivorous' is false

D. 'All plants are carnivorous' is true

Choose the correct answer from the options given below:

Question

Question

This question was previously asked in

UGC NET Paper 1: Held on 30 Sep 2022 Shift 1

Answer 1

The square of opposition is a diagram used in categorical logic to depict the logical relationship.

Key Points
F1 A.A. Madhu 19.05.20 D1

Relationships between Propositions:

Types	Characteristics
Contradictory	A and O, E, and I proposition are contradictory. The truth of an assertion of the form All S are P implies the falsity of the corresponding proposition of the type. Some S are not P.
Contrary	A and E propositions are contrary. Propositions are contrary when they cannot both be true.
Sub-contrary	I and E propositions are sub-contrary. Propositions are sub-contrary when it is impossible for both to be false.
Sub-alternation	A and I, E and O propositions are Sub-alternation. The sub-alternation relation exists between a proposition and the equivalent I proposition. the falsity of an I or O assertion implies, respectively, the falsity of the corresponding A or E proposition.

Now, "Some plants are No Carnivorous" is given as false, A is True (Sub-alternation). E is False (Contradictory) and I is (Sub-contrary) True.
So, "Some plants are carnivorous" is true, "No plants are carnivorous" is false, and "All plants are carnivorous' is true" is true.

Therefore, the correct answer from the options are A, C and D only.