Mathematics Mastery

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

Experimental testing of mathematical theories

Development of mathematical software and tools

Application of mathematical formulas to real-world problems

Arithmetic, topology, calculus, and algebra

Calculus, trigonometry, statistics, and probability

Logic, set theory, differential equations, and combinatorics

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

Entities derived solely from experimental data

Concretes from nature or entities stipulated to have uncertain properties

Abstractions from nature or entities stipulated to have certain properties (correct)

Physical entities with measurable properties

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

<p>Certain properties, called axioms</p> Signup and view all the answers