Mathematics Quiz

They consist of a succession of applications of inductive rules to already established results

They include previously proved theorems, axioms, and some basic properties that are considered true starting points of the theory (correct)

They involve the use of pure reason to prove properties of concrete objects

They are based on the discovery of properties of abstract objects

Geometry

Algebra

Number theory

Calculus (correct)

Entities that are stipulated to have certain properties, called axioms, only

Abstractions from nature only

Both abstractions from nature and entities that are stipulated to have certain properties, called axioms (correct)

None of the above