Mathematics Fundamentals

Calculus, statistics, trigonometry, and topology

Arithmetic, calculus, algebra, and probability

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

Set theory, differential equations, topology, and logic

Intuitive guessing and trial-and-error

Empirical observation and experimentation

Reliance on historical mathematical principles

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

Experiments and observations

Intuitive leaps and guesswork

A succession of applications of deductive rules to already established results (correct)

Reliance on authority and tradition

<p>Entities stipulated to have certain properties, called axioms</p> Signup and view all the answers

<p>Abstractions from nature or stipulated entities with certain properties</p> Signup and view all the answers