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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and linear algebra
- Logic, probability, topology, and differential equations
- Combinatorics, game theory, cryptography, and optimization
What is the most common mathematical activity?
What is the most common mathematical activity?
- Studying the historical development of mathematical concepts
- Conducting scientific experiments to test mathematical theories
- Creating new mathematical formulas and algorithms
- Discovery of properties of abstract objects using pure reason (correct)
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
- Applied mathematics
- Philosophical reasoning
- Technology and innovation
- Any scientific experimentation (correct)
In modern mathematics, what are entities stipulated to have certain properties called?
In modern mathematics, what are entities stipulated to have certain properties called?
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
In which academic disciplines is mathematics essential?
In which academic disciplines is mathematics essential?
What is the narrower and more technical meaning of the word 'mathematics' in Classical times?
What is the narrower and more technical meaning of the word 'mathematics' in Classical times?
Which mathematical concept had no practical application before its use in the RSA cryptosystem?
Which mathematical concept had no practical application before its use in the RSA cryptosystem?
What did the Pythagoreans constrain the use of the word 'mathematics' to mean?
What did the Pythagoreans constrain the use of the word 'mathematics' to mean?
What led to a correlated increase in the development of mathematical innovations and scientific discoveries?
What led to a correlated increase in the development of mathematical innovations and scientific discoveries?
What did mathematics primarily consist of until the 16th and 17th centuries?
What did mathematics primarily consist of until the 16th and 17th centuries?
What is the Ancient Greek meaning of the word 'mathematics' (máthēma)?
What is the Ancient Greek meaning of the word 'mathematics' (máthēma)?
What did mathematics commonly mean in Latin and English until around 1700?
What did mathematics commonly mean in Latin and English until around 1700?
What did Saint Augustine's warning about 'mathematici' refer to?
What did Saint Augustine's warning about 'mathematici' refer to?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη; Latin: ars mathematica) refer to?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη; Latin: ars mathematica) refer to?
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