Mathematical Subdisciplines Quiz

Algebra, calculus, topology, and logic

Geometry, probability, algebra, and statistics

Number theory, algebra, geometry, and analysis (correct)

Arithmetic, calculus, trigonometry, and statistics

Memorization of formulas and the application of algorithms

Observation of natural phenomena and the formulation of hypotheses

Discovery of properties of abstract objects and the use of pure reason to prove them (correct)

Experimentation with physical objects to derive mathematical principles

Quantities derived solely from empirical observations

Abstractions from nature or stipulated entities with certain properties called axioms (correct)

Physical representations of geometric shapes

Randomly chosen elements from a given set

<p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

<p>Previously proved theorems, axioms, and basic properties considered true</p> Signup and view all the answers