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Uncovering the Mathematical Underpinnings of Indian Philosophical Systems

Description: Explore the profound connection between Indian philosophical systems and the underlying mathematical principles that shape their teachings.
Number of Questions: 15
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Tags: indian philosophy mathematics in philosophy mathematical underpinnings
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Which ancient Indian philosophical system emphasizes the concept of 'neti neti' (not this, not this) to negate all positive assertions and ultimately reach the true nature of reality?

  1. Nyaya

  2. Vaisheshika

  3. Advaita Vedanta

  4. Mimamsa


Correct Option: C
Explanation:

Advaita Vedanta, propounded by Adi Shankara, uses 'neti neti' to negate all positive assertions about Brahman, the ultimate reality, leading to the realization of non-duality.

In the Nyaya-Vaisheshika school of thought, what is the term for the fundamental building blocks of the universe?

  1. Anus

  2. Paramāṇus

  3. Dravyas

  4. Guṇas


Correct Option: B
Explanation:

Paramāṇus, or atoms, are considered the indivisible and indestructible fundamental units of matter in the Nyaya-Vaisheshika philosophy.

Which Indian philosophical system is known for its emphasis on logical reasoning and syllogistic arguments?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: A
Explanation:

Nyaya, one of the six orthodox schools of Indian philosophy, is renowned for its focus on logical reasoning and the use of syllogisms to establish valid conclusions.

In the Sāṃkhya philosophy, what is the term for the three fundamental qualities that govern the material world?

  1. Sattva

  2. Rajas

  3. Tamas

  4. Prakṛti


Correct Option:
Explanation:

Sattva, Rajas, and Tamas are the three fundamental qualities (guṇas) that constitute Prakṛti, the material world, in Sāṃkhya philosophy.

Which Indian philosophical system emphasizes the concept of 'karma' and the cycle of rebirth?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, emphasizes the concept of karma and the cycle of rebirth, highlighting the importance of self-discipline and spiritual practices for liberation.

In the Mimamsa school of thought, what is the primary focus of study?

  1. Vedas

  2. Upanishads

  3. Brahman

  4. Ātman


Correct Option: A
Explanation:

Mimamsa, one of the six orthodox schools of Indian philosophy, primarily focuses on the study and interpretation of the Vedas, the sacred texts of Hinduism.

Which Indian philosophical system emphasizes the concept of 'moksha' or liberation from the cycle of rebirth?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, emphasizes the concept of moksha or liberation from the cycle of rebirth through spiritual practices and self-realization.

In the Advaita Vedanta philosophy, what is the term for the ultimate reality that is non-dual and transcends all distinctions?

  1. Brahman

  2. Ātman

  3. Maya

  4. Īśvara


Correct Option: A
Explanation:

Brahman is the ultimate reality in Advaita Vedanta, representing the non-dual, infinite, and unchanging consciousness that underlies all existence.

Which Indian philosophical system emphasizes the concept of 'ahimsa' or non-violence?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, emphasizes the concept of ahimsa or non-violence as a fundamental ethical principle.

In the Nyaya-Vaisheshika school of thought, what is the term for the logical fallacy that arises from affirming the consequent?

  1. Vyāpti

  2. Hetvābhāsa

  3. Anumāna

  4. Upanaya


Correct Option: B
Explanation:

Hetvābhāsa is a logical fallacy in Nyaya-Vaisheshika that occurs when the consequent of a conditional statement is affirmed, but the antecedent is not necessarily true.

Which Indian philosophical system emphasizes the concept of 'dharma' or righteous conduct?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, emphasizes the concept of dharma or righteous conduct as a fundamental ethical principle.

In the Advaita Vedanta philosophy, what is the term for the illusion or veil that obscures the true nature of reality?

  1. Brahman

  2. Ātman

  3. Maya

  4. Īśvara


Correct Option: C
Explanation:

Maya is the illusion or veil in Advaita Vedanta that obscures the true nature of reality, leading to the perception of duality and multiplicity.

Which Indian philosophical system emphasizes the concept of 'ātman' or the individual self?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, emphasizes the concept of ātman or the individual self, exploring its relationship with the ultimate reality, Brahman.

In the Nyaya-Vaisheshika school of thought, what is the term for the logical fallacy that arises from denying the antecedent?

  1. Vyāpti

  2. Hetvābhāsa

  3. Anumāna

  4. Upanaya


Correct Option: B
Explanation:

Hetvābhāsa is a logical fallacy in Nyaya-Vaisheshika that occurs when the antecedent of a conditional statement is denied, but the consequent is not necessarily false.

Which Indian philosophical system emphasizes the concept of 'ishvara' or the personal god?

  1. Nyaya

  2. Vaisheshika

  3. Sāṃkhya

  4. Yoga


Correct Option: D
Explanation:

Yoga, particularly the Yoga Sūtras of Patañjali, acknowledges the concept of ishvara or the personal god, but emphasizes the importance of self-realization and spiritual practices for liberation.

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