15 Questions
Which subdiscipline of mathematics deals with the properties of numbers and integers?
Number theory
In modern mathematics, which entities are stipulated to have certain properties?
Abstract objects
Which branch of mathematics involves the study of equations and their solutions?
Algebra
What type of reasoning is primarily used in mathematical proofs?
Deductive reasoning
Which area of knowledge extensively uses mathematics for modeling phenomena?
Natural sciences
What are the fundamental truths of mathematics independent from?
Scientific experimentation
What is the narrower and more technical meaning of the word 'mathematics' in Classical times?
The study of arithmetic and geometry
When did the concept of a proof and its associated mathematical rigour first appear?
Greek mathematics
Which area of mathematics had no practical application before its use in the RSA cryptosystem?
Integer factorization
What did the word 'mathematics' mean in Latin and English until around 1700?
Astrology
What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?
Interaction between mathematical innovations and scientific discoveries
What was primarily divided into geometry and arithmetic until the 16th and 17th centuries?
Mathematics
Where does the word 'mathematics' come from?
Ancient Greek máthēma (μάθημα)
What is the contemporary Mathematics Subject Classification lists more than?
60 first-level areas of mathematics
Who likely constrained the use of the word 'mathematics' to just the study of arithmetic and geometry?
The Pythagoreans
Explore the diverse topics of numbers, formulas, shapes, and quantities in mathematics, along with the major subdisciplines of number theory, algebra, geometry, and analysis. Gain insight into the broad field of modern mathematics and its various representations.
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