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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, statistics, trigonometry, and topology
- Logic, set theory, combinatorics, and abstract algebra
- Linear algebra, calculus, probability, and differential equations
What is the primary method of mathematical activity?
What is the primary method of mathematical activity?
- Intuitive guesswork and trial-and-error
- Experimentation and data collection
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Relying on expert opinions and authority
What do proofs consist of in mathematics?
What do proofs consist of in mathematics?
- A collection of empirical observations and inferences
- A succession of applications of deductive rules to already established results (correct)
- A series of trial-and-error attempts
- A set of arbitrary assumptions without logical reasoning
In what areas is mathematics essential?
In what areas is mathematics essential?
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What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
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What is the meaning of the word 'mathematics' in Ancient Greek?
What is the meaning of the word 'mathematics' in Ancient Greek?
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Who was likely the first to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?
Who was likely the first to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?
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What did the term 'mathematics' commonly mean in Latin and English until around 1700?
What did the term 'mathematics' commonly mean in Latin and English until around 1700?
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Which two main schools of thought in Pythagoreanism were known as?
Which two main schools of thought in Pythagoreanism were known as?
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What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?
What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?
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