If 'some women are writers' is true, which of the following codes are CORRECT A. 'All women are writers' false B. 'All women are writers' is true C. 'No women are writers' is false D. 'Some women are not writers' is undetermined Choose the correct answer from the options given below:

If 'some women are writers' is true, which of the following codes are CORRECT A. 'All women are writers' false B. 'All women are writers' is true C. 'No women are writers' is false D. 'Some women are not writers' is undetermined Choose the correct answer from the options given below: Correct Answer C and D only

The square of opposition is a diagram used in categorical logic to depict the logical relationship that exists between particular propositions based on their form.

Key Points 

Diagram of Aristotelian Square of Opposition. 

The four corners of this diagram represent the four basic forms of propositions. 

 Propositions From   Title  Example
A All S is P Universal affirmatives All women are writers. 
E No S are P Universal negative No women are writers.
I Some S are P Particular affirmatives Some women are writers. 
O Some S are not P Particular Negative Some women are not writers.

Now applying the rule of the Square of Opposition.

Types of Square of Opposition  Rules
Contradictory

A and O, E, and I propositions are contradictory. 
If One is True the other will be false definitely.

If One is False the other will be True definitely. 

For Example, Some women are writers(I) is True then, No women are writers (E) must be False 

Contrary

A and E propositions are contrary. 

It's always Between Universal. 

Both statements cannot be true at the same time but both can be False. 

If One is True the other will be False definitely. 

If One is False the other will be  Doubtful. 

Sub-contrary

I and O propositions are subcontrary.

It is always between Particulars. 

It is the opposite of the Contrary. 

Both Statements can't be False at the same time but both can be True. 

If One is False the other will be true definitely. 

If One is True the other will be Doubtful

For Example, Some women are writers Is True then, Some women are not writers is Doubtful. 

Subalternation

A and I, E and O propositions are Subalternation. ​

Between Universal and Particulars.

If Universal is True Particular will be False definitely. 

If Universal is False Particular will be True Doubtful. 

If Particular is False Universal will be False definitely. 

If Particular is True Universal will be Doubtful.  

Thus, "No women are writers" is false, and "Some women are not writers" is undetermined are correct. 

Related Questions

A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given fouralternatives. Just as space permeates everything in the universe, love permeates every part, every aspect of creation. If there is one answer to the question, “How and why doesthis world exist?” the answer, in one word, is Love. Rather, the answer is Pure Love, since the word love has lost its meaning. Your very existence is an expression of pure unconditional love of the Source (you may call it Consciousness, Creator, God, Divine Self). This is the truth of your being.True love transcends both love and hatred. It is unconditional, unquestioning, boundless, unchanging love. It is overflowing love of the Source for the Source throughall of creation. True love is way beyond the personalized love that two or more individuals assert on one another. Personalized love, though apparently selfless, is rooted in desiresand conditional satisfaction. We have been brought up in a society that judges love based on conditions. We have been made to believe that we can receive love only when we fit into peoplesexpectations. If we are not good enough, we will be deprived of love. These beliefs have influenced the collective psyche of families, groups, communities, and societies since generations to such an extent that love has been reduced tofear of denial. We need to shift from the paradigm of false conditional love to the essence of pure unconditional love . The experience of true love comes with surrender of the false I, in letting go of the feeling of separateness. Without this sacrifice, it is not possible to attain divinelove. When this separate I is discarded, you embrace everything in oneness and catch a glimpse of pure love. True love can be experienced only through giving, not by demanding. People who exist in your life are not here to love you. They are here to remind you that you arethe Source of Love. By knowing that you are the Source of love, you can love yourself, instead of waiting to receive love from the world. Ask yourself, “Why do I need an agent to love myself?” Waiting for the world to love you, is like hiring an agent to love yourself! It is time for you to honor yourself as the Source of love. You have undertaken this human journey to realize and express the boundless love that you truly are. According to the passage, which of the following statement is not TRUE?
A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given fouralternatives. Just as space permeates everything in the universe, love permeates every part, every aspect of creation. If there is one answer to the question, “How and why doesthis world exist?” the answer, in one word, is Love. Rather, the answer is Pure Love, since the word love has lost its meaning. Your very existence is an expression of pure unconditional love of the Source (you may call it Consciousness, Creator, God, Divine Self). This is the truth of your being.True love transcends both love and hatred. It is unconditional, unquestioning, boundless, unchanging love. It is overflowing love of the Source for the Source throughall of creation. True love is way beyond the personalized love that two or more individuals assert on one another. Personalized love, though apparently selfless, is rooted in desiresand conditional satisfaction. We have been brought up in a society that judges love based on conditions. We have been made to believe that we can receive love only when we fit into peoplesexpectations. If we are not good enough, we will be deprived of love. These beliefs have influenced the collective psyche of families, groups, communities, and societies since generations to such an extent that love has been reduced tofear of denial. We need to shift from the paradigm of false conditional love to the essence of pure unconditional love . The experience of true love comes with surrender of the false I, in letting go of the feeling of separateness. Without this sacrifice, it is not possible to attain divinelove. When this separate I is discarded, you embrace everything in oneness and catch a glimpse of pure love. True love can be experienced only through giving, not by demanding. People who exist in your life are not here to love you. They are here to remind you that you arethe Source of Love. By knowing that you are the Source of love, you can love yourself, instead of waiting to receive love from the world. Ask yourself, “Why do I need an agent to love myself?” Waiting for the world to love you, is like hiring an agent to love yourself! It is time for you to honor yourself as the Source of love. You have undertaken this human journey to realize and express the boundless love that you truly are. Which of the following statement(s) is/are TRUE about pure love?