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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, statistics, trigonometry, and logic
- Differential equations, topology, probability, and combinatorics
- Linear algebra, discrete mathematics, set theory, and logic
- Number theory, algebra, geometry, and analysis (correct)
What is the most common activity in mathematics?
What is the most common activity in mathematics?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical methods to analyze data
- Experimentation and testing of mathematical theories
- Measurement and quantification of natural phenomena
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experiments and observations leading to a conclusion
- A succession of applications of deductive rules to already established results (correct)
- A collection of mathematical formulas and equations
- An analysis of statistical data to support a hypothesis
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
In which fields is mathematics essential?
In which fields is mathematics essential?
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
What was the problem of integer factorization used for before its application in the RSA cryptosystem?
What was the problem of integer factorization used for before its application in the RSA cryptosystem?
In Ancient Greek, what does the word 'mathematics' (máthēma) mean?
In Ancient Greek, what does the word 'mathematics' (máthēma) mean?
During which centuries were algebra and infinitesimal calculus introduced as new fields in mathematics?
During which centuries were algebra and infinitesimal calculus introduced as new fields in mathematics?
What did the word 'mathematics' commonly mean in Latin, and in English until around 1700?
What did the word 'mathematics' commonly mean in Latin, and in English until around 1700?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη) mean in Ancient Greek?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη) mean in Ancient Greek?
What did mathēmatikós (μαθηματικός) mean in Ancient Greek?
What did mathēmatikós (μαθηματικός) mean in Ancient Greek?
What did mathēmatikoi (μαθηματικοί) mean in Ancient Greek?
What did mathēmatikoi (μαθηματικοί) mean in Ancient Greek?
When was the foundational crisis of mathematics that led to the systematization of the axiomatic method?
When was the foundational crisis of mathematics that led to the systematization of the axiomatic method?
'Mathematics' in Latin gradually changed to its present meaning from about which century to which century?
'Mathematics' in Latin gradually changed to its present meaning from about which century to which century?
'Mathematics' in English gradually changed to its present meaning from about which century to which century?
'Mathematics' in English gradually changed to its present meaning from about which century to which century?
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