16 Questions
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
The discovery of properties of abstract objects and the use of pure reason to prove them
What are the fundamental truths of mathematics independent from?
Any scientific experimentation
What do mathematicians have no general consensus about?
A common definition for their academic discipline
What kind of objects does mathematical activity involve?
Abstract objects and entities with stipulated properties
In which fields is mathematics essential?
Natural sciences, engineering, medicine, finance, computer science, and social sciences
What is the word for the study of arithmetic and geometry?
Mathēmatikḗ tékhnē
Who is known for constraining the use of the word 'mathematics' to the study of arithmetic and geometry?
Pythagoras
Which area of mathematics goes back to Euclid in 300 BC and had no practical application before its use in the RSA cryptosystem?
Integer factorization
What is the word that comes from Ancient Greek máthēma, meaning 'that which is learnt'?
Mathēmatikós
At the end of the 19th century, what led to the systematization of the axiomatic method?
Foundational crisis of mathematics
What does the word 'mathematics' mean in Ancient Greek máthēma (μάθημα)?
'That which is learnt'
What was the narrower and more technical meaning of the word 'mathematics' even in Classical times?
'Mathematical study'
'Mathēmatikḗ tékhnē' meant 'the mathematical art' in which language?
Latin
'Mathēmatikoi' at the time meant 'learners' rather than 'mathematicians' in which school of thought?
'That which is learnt'
'Ars mathematica' is the Latin term for which phrase?
'The mathematical art'
Explore the diverse topics of numbers, formulas, shapes, and spaces in the area of mathematical knowledge. Delve into subdisciplines such as number theory, algebra, geometry, and analysis that shape modern mathematics.
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