15 Questions
Which subdiscipline of mathematics is concerned with the properties of abstract objects?
Number theory
In modern mathematics, which entities are stipulated to have certain properties?
Abstractions from nature
What does a proof in mathematics consist of?
A succession of deductive rules
What are the fundamental truths of mathematics independent from?
Any scientific experimentation
Which academic discipline is essential in the natural sciences, engineering, and finance?
Mathematics
Which major subdiscipline of mathematics deals with the study of shapes and the spaces in which they are contained?
Geometry
Which ancient Greek mathematician is known for introducing the concept of a proof and its associated mathematical rigor?
Euclid
Which mathematical problem, dating back to 300 BC, had no practical application until its use in the RSA cryptosystem?
Integer factorization
What does the word 'mathematics' mean in Ancient Greek?
That which is learnt
What did the term 'mathematics' commonly mean in Latin and English until around 1700?
Astrology
Which of the following areas of mathematics is often grouped under applied mathematics?
Statistics
Which Pythagorean school of thought was known as the mathēmatikoi?
Learners
Who likely constrained the use of the word 'mathematics' to just the study of arithmetic and geometry?
Pythagoras
Which area of mathematics had a foundational crisis at the end of the 19th century, leading to systematization of the axiomatic method?
Algebra
What did the word 'mathēma (μάθημα)' mean in Ancient Greek?
That which is learnt
Explore the fundamental topics and major subdisciplines of modern mathematics, including number theory, algebra, geometry, and analysis. Dive into the diverse areas of knowledge encompassing numbers, formulas, shapes, spaces, and quantities.
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