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Indian Mathematical Controversies

Description: This quiz covers various controversies and debates that have arisen in the field of Indian mathematics throughout history.
Number of Questions: 15
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Tags: indian mathematics controversies history of mathematics
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Which Indian mathematician's work on the concept of zero was initially met with skepticism and resistance?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata's introduction of the concept of zero as a number and its use in calculations faced initial resistance from some mathematicians who were accustomed to traditional methods.

What was the main point of contention in the debate surrounding the Kerala School of Astronomy and Mathematics?

  1. The validity of using trigonometric functions

  2. The accuracy of their astronomical calculations

  3. The priority of their discoveries compared to Western mathematicians

  4. The role of mathematics in religious rituals


Correct Option: C
Explanation:

The debate centered around whether the Kerala School independently developed certain mathematical concepts or if they were influenced by Western sources.

Which Indian mathematician's work on calculus predated that of Isaac Newton and Gottfried Wilhelm Leibniz?

  1. Madhava of Sangamagrama

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Aryabhata


Correct Option: A
Explanation:

Madhava's contributions to calculus, including the concept of the derivative and the development of infinite series, were significant and predated the work of Newton and Leibniz.

What was the controversy surrounding Srinivasa Ramanujan's work on modular forms?

  1. His results were initially rejected by Western mathematicians due to their unconventional approach.

  2. He was accused of plagiarism and stealing ideas from other mathematicians.

  3. His work was deemed too abstract and impractical to have any real-world applications.

  4. His notebooks contained errors and inconsistencies that led to质疑 his findings.


Correct Option: A
Explanation:

Ramanujan's innovative and unconventional approach to modular forms initially faced skepticism and resistance from some Western mathematicians who were accustomed to more traditional methods.

What was the main point of contention in the debate surrounding the ancient Indian text, the Sulba Sutras?

  1. The accuracy of their geometric constructions

  2. The originality of their mathematical content

  3. The influence of Greek mathematics on their development

  4. The role of mathematics in religious rituals


Correct Option: B
Explanation:

The debate centered around whether the Sulba Sutras contained original mathematical ideas or if they were merely adaptations of Babylonian or Egyptian mathematics.

Which Indian mathematician's work on astronomy and mathematics was initially criticized for its reliance on Tantric and mystical beliefs?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Varahamihira


Correct Option: D
Explanation:

Varahamihira's work, which incorporated Tantric and mystical elements, faced criticism from some mathematicians who favored a more rational and scientific approach.

What was the main point of contention in the debate surrounding the ancient Indian text, the Lilavati?

  1. The accuracy of its mathematical calculations

  2. The originality of its mathematical content

  3. The role of mathematics in religious rituals

  4. The appropriateness of using recreational mathematics in a mathematical text


Correct Option: D
Explanation:

The debate centered around whether it was appropriate to include recreational mathematics, such as puzzles and games, in a serious mathematical text.

Which Indian mathematician's work on number theory and Diophantine equations was initially met with skepticism and resistance?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Brahmagupta's work on number theory and Diophantine equations faced initial skepticism and resistance from some mathematicians who were accustomed to traditional methods.

What was the controversy surrounding the ancient Indian text, the Bakhshali Manuscript?

  1. Its authenticity and age

  2. The originality of its mathematical content

  3. The influence of Greek mathematics on its development

  4. The role of mathematics in religious rituals


Correct Option: A
Explanation:

The debate centered around the authenticity and age of the manuscript, with some scholars questioning its genuineness and antiquity.

Which Indian mathematician's work on trigonometry was initially met with skepticism and resistance?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata's work on trigonometry, including the development of trigonometric tables and formulas, faced initial skepticism and resistance from some mathematicians who were accustomed to traditional methods.

What was the main point of contention in the debate surrounding the ancient Indian text, the Surya Siddhanta?

  1. The accuracy of its astronomical calculations

  2. The originality of its mathematical content

  3. The influence of Greek mathematics on its development

  4. The role of mathematics in religious rituals


Correct Option: A
Explanation:

The debate centered around the accuracy of the astronomical calculations and predictions contained in the Surya Siddhanta.

Which Indian mathematician's work on algebra and indeterminate equations was initially met with skepticism and resistance?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Brahmagupta's work on algebra and indeterminate equations faced initial skepticism and resistance from some mathematicians who were accustomed to traditional methods.

What was the controversy surrounding the ancient Indian text, the Ganita Sara Sangraha?

  1. Its authenticity and age

  2. The originality of its mathematical content

  3. The influence of Greek mathematics on its development

  4. The role of mathematics in religious rituals


Correct Option: B
Explanation:

The debate centered around the originality of the mathematical content in the Ganita Sara Sangraha, with some scholars questioning whether it was a genuine work or a compilation of ideas from other sources.

Which Indian mathematician's work on combinatorics and probability was initially met with skepticism and resistance?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Bhaskara II's work on combinatorics and probability faced initial skepticism and resistance from some mathematicians who were accustomed to traditional methods.

What was the main point of contention in the debate surrounding the ancient Indian text, the Aryabhatiya?

  1. The accuracy of its astronomical calculations

  2. The originality of its mathematical content

  3. The influence of Greek mathematics on its development

  4. The role of mathematics in religious rituals


Correct Option: B
Explanation:

The debate centered around the originality of the mathematical content in the Aryabhatiya, with some scholars questioning whether it was a genuine work or a compilation of ideas from other sources.

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