Mathematics: Concepts and Subdisciplines

Calculus, trigonometry, statistics, and topology

Linear algebra, calculus, abstract algebra, and topology

Arithmetic, differential equations, combinatorics, and probability

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

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

Validation of hypotheses through controlled experiments

Experimental testing and observation of natural phenomena

Application of statistical methods to real-world problems

A set of observations supporting a hypothesis

A series of experimental trials leading to a conclusion

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

An analysis of statistical data to confirm a theory

<p>They are based on pure reason and do not rely on experimental validation</p> Signup and view all the answers

<p>Statistics and game theory</p> Signup and view all the answers