Mathematics Fundamentals Quiz

Arithmetic, calculus, algebra, and probability

Calculus, trigonometry, statistics, and topology

Geometry, statistics, number theory, and logic

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

Application of empirical evidence to derive mathematical principles

Reliance on intuition without the need for rigorous proof

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

Utilization of trial and error to formulate mathematical theories

An iterative process with no fixed rules

A combination of deductive reasoning and inductive reasoning

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

A series of experimental trials leading to a probable conclusion

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