Mathematics: The Language of Patterns and Structures

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

Observation of natural phenomena and formulation of theories

Experimental testing and validation of hypotheses

Application of statistical methods to analyze data

Axioms (correct)

Postulates

Conjectures

Hypotheses

Arithmetic, calculus, trigonometry, and statistics

Set theory, combinatorics, linear algebra, and calculus

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

Logic, probability, topology, and differential equations

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<p>Natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers