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If the proposition "No Scientists are Philosophers" is true, what can be inferred about the truth or falsity of the proposition "All Philosophers are Scientists"?

If the proposition "No Scientists are Philosophers" is true, what can be inferred about the truth or falsity of the proposition "All Philosophers are Scientists"? Correct Answer False

The correct answer is False.

Key Points

  • All Philosophers are Scientists is a false proposition.
  • The below diagram shows that Philosophers (X) and Scientists (Y) represent their own regions separately.

Important Points

  • The above statement is based on the Contraposition proposition.
  • It involves:
    • The transfer of the position of the subject term with the complement of the predicate term.
    • The transfer of the position of the predicate term with the complement of the subject term.
  • This proposition is logically equivalent to the proposition.
  • Example: ​If it is cold, then I get a fever.​
    • Converse: If I get a fever, then it is cold.
    • Contrapositive: If I don't get a fever, then it is not cold.

Related Questions

If "No scientists are philosophers" is true, what may be inferred about the truth and falsity of the proposition?
1. No non-philosophers are scientists
2. No-non scientists are non-philosophers
3. No philosopher are non scientists
Out of these statements
Which of the following statements are correct? A. A proposition and E proposition are contradictories B. A proposition and O proposition are contradictories C. E proposition and O proposition are contradictories D. I proposition and O proposition are contraries E. I proposition and O proposition are subcontraies Choose the correct answer from the options given below:
Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
According to Gandhiji, truth complies to which of the following?
Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
According to the passage, which of the following statement is not true?
Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
What are the twin cardinal principles of Gandhis thought?
Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
According to Gandhiji, what is the most powerful force in existence?
Which of the following statements are correct with regard to the 'truth and validity' in logical reasoning. Select the correct code from the below: (a) Truth and falsity are attributes of individual propositions. (b) Validity and invalidity are attributes of individual propositions. (c) Truth and falsity are attributes of arguments. (d) Validity and invalidity are attributes of arguments. Code:
Leibniz gives
1. truth of reason
2. truth of fact
3. truth of falsity
4. truth of logic
Select the correct answer:
Choose the conclusion which logically follows from the given statement(S) Statement: All scientist working in America are talented. Some Indian scientists are working in America. Conclusions: 1. None of Indian scientists is talented. 2. Some talented Indian scientists have migrated to America. 3. All talented scientists are Indians. 4. Some Indian scientists are talented. The conclusion(s) correctly drawn is/are
Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements. Statements: All scientists working in Japan are talented. Some Chinese scientists are working in Japan. Conclusions: I. No Chinese scientist is talented. II. Some talented Chinese scientists are working in Japan. III. All talented scientists are Japanese. IV. Some Chinese scientists are talented.