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What are the major subdisciplines of modern mathematics according to the text?
What are the major subdisciplines of modern mathematics according to the text?
- Calculus, statistics, and trigonometry
- Number theory, algebra, geometry, and analysis (correct)
- Differential equations, linear algebra, and topology
- Logic, probability, and combinatorics
What are the fundamental truths of mathematics independent from, according to the text?
What are the fundamental truths of mathematics independent from, according to the text?
- Mathematical modeling
- Scientific experimentation (correct)
- Abstract thinking
- Logical reasoning
What does most mathematical activity involve, according to the text?
What does most mathematical activity involve, according to the text?
- Applying statistical analysis to solve problems
- Using pure reason to prove properties of abstract objects (correct)
- Developing new mathematical notations
- Conducting experiments to gather data
What does a proof in mathematics consist of, according to the text?
What does a proof in mathematics consist of, according to the text?
What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
In which fields is mathematics essential, according to the text?
In which fields is mathematics essential, according to the text?
What is the word 'mathematics' derived from?
What is the word 'mathematics' derived from?
What did the Pythagoreans initially use the term 'mathēmatikoi' to refer to?
What did the Pythagoreans initially use the term 'mathēmatikoi' to refer to?
What was the common meaning of the term 'mathematics' in Latin and English until around 1700?
What was the common meaning of the term 'mathematics' in Latin and English until around 1700?
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 was primarily divided into geometry and arithmetic until the 16th and 17th centuries?
What was primarily divided into geometry and arithmetic until the 16th and 17th centuries?
What appeared in Greek mathematics, notably in Euclid's Elements, as the concept of a proof and its associated mathematical rigour?
What appeared in Greek mathematics, notably in Euclid's Elements, as the concept of a proof and its associated mathematical rigour?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
What did Saint Augustine's warning about mathematici mistranslate as?
What did Saint Augustine's warning about mathematici mistranslate as?
What was primarily developed independently from any application and often later found practical applications?
What was primarily developed independently from any application and often later found practical applications?
'The mathematical art' is known as what in Latin?
'The mathematical art' is known as what in Latin?
What is the primary focus of mathematics, according to the text?
What is the primary focus of mathematics, according to the text?
Which of the following fields is NOT mentioned as essential areas where mathematics is extensively used?
Which of the following fields is NOT mentioned as essential areas where mathematics is extensively used?
What is the term used in modern mathematics for entities stipulated to have certain properties?
What is the term used in modern mathematics for entities stipulated to have certain properties?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
What does a proof in mathematics consist of, according to the text?
What does a proof in mathematics consist of, according to the text?
What are the major subdisciplines of modern mathematics according to the text?
What are the major subdisciplines of modern mathematics according to the text?
What does the word 'mathematics' come from?
What does the word 'mathematics' come from?
What did the Pythagoreans initially use the term 'mathēmatikoi' to refer to?
What did the Pythagoreans initially use the term 'mathēmatikoi' to refer to?
What did mathematics primarily involve until the 16th and 17th centuries?
What did mathematics primarily involve until the 16th and 17th centuries?
What led to the systematization of the axiomatic method at the end of the 19th century?
What led to the systematization of the axiomatic method at the end of the 19th century?
What did Saint Augustine's warning about mathematici mistranslate as?
What did Saint Augustine's warning about mathematici mistranslate as?
What appeared in Greek mathematics, notably in Euclid's Elements, as the concept of a proof and its associated mathematical rigour?
What appeared in Greek mathematics, notably in Euclid's Elements, as the concept of a proof and its associated mathematical rigour?
What are the major subdisciplines of modern mathematics according to the text?
What are the major subdisciplines of modern mathematics according to the text?
'The mathematical art' is known as what in Latin?
'The mathematical art' is known as what in Latin?
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?
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