15 Questions
What are the major subdisciplines of modern mathematics, as represented in the text?
Number theory, algebra, geometry, and analysis
What does mathematical activity primarily involve according to the text?
Discovery of properties of abstract objects and use of pure reason to prove them
What do mathematicians not have a general consensus about according to the text?
A common definition for their academic discipline
What do the fundamental truths of mathematics according to the text?
They are independent from any scientific experimentation
What do proofs in mathematics consist of according to the text?
A succession of applications of deductive rules to already established results
In which fields is mathematics essential according to the text?
Natural sciences, engineering, medicine, finance, computer science, and social sciences
What is the word 'mathematics' derived from?
Ancient Greek
Which mathematical concept first appeared in Greek mathematics?
Proof
In what century were algebra and infinitesimal calculus introduced as new fields?
16th and 17th centuries
What led to a correlated increase in the development of mathematical innovations and scientific discoveries?
Interaction between mathematical innovations and scientific discoveries
Which term was used to mean 'learners' in Pythagoreanism, rather than 'mathematicians' in the modern sense?
Mathēmatikós
What did the term 'mathematics' commonly mean in Latin and English until around 1700?
Astrology
What did Saint Augustine's warning about mathematici mean?
'Astrologers'
What does mathēmatikós (μαθηματικός) mean?
All of the above'
What did mathēmatikḗ tékhnē (μαθηματικὴ τέχνη; Latin: ars mathematica) mean?
'Mathematical art'
Test your knowledge of numbers, formulas, shapes, and mathematical structures with this quiz. Explore the major subdisciplines of number theory, algebra, geometry, and analysis.
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