16 Questions
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What is the most common activity in mathematics?
Discovery of properties of abstract objects and use of pure reason to prove them
What do mathematical proofs consist of?
A succession of applications of deductive rules to already established results
What are the fundamental truths of mathematics independent from?
Any scientific experimentation
In which fields is mathematics essential?
Natural sciences, engineering, medicine, finance, computer science, and social sciences
What are the entities in modern mathematics stipulated to have?
Certain properties called axioms
What was the problem of integer factorization used for before its application in the RSA cryptosystem?
It had no practical application.
In Ancient Greek, what does the word 'mathematics' (máthēma) mean?
That which is learned, study, and science.
During which centuries were algebra and infinitesimal calculus introduced as new fields in mathematics?
16th and 17th centuries
What did the word 'mathematics' commonly mean in Latin, and in English until around 1700?
Astrology
What did mathēmatikḗ tékhnē (μαθηματικὴ τέχνη) mean in Ancient Greek?
The mathematical art
What did mathēmatikós (μαθηματικός) mean in Ancient Greek?
'Related to learning' or 'studious'
What did mathēmatikoi (μαθηματικοί) mean in Ancient Greek?
'Learners'
When was the foundational crisis of mathematics that led to the systematization of the axiomatic method?
19th century
'Mathematics' in Latin gradually changed to its present meaning from about which century to which century?
1400 to 1600
'Mathematics' in English gradually changed to its present meaning from about which century to which century?
-1500 to -1300
Explore the fundamental topics and subdisciplines of mathematics, including numbers, formulas, shapes, and quantitative changes. Delve into the diverse areas of study such as number theory, algebra, geometry, and analysis that form the foundation of modern mathematics.
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