Fundamental Mathematics Quiz

Number theory = Topics related to numbers and their properties Algebra = Study of formulas and related structures Geometry = Focus on shapes and spaces Analysis = Study of quantities and their changes

Discovery of properties of abstract objects = Most mathematical activity involves this Use of pure reason to prove properties = Essential in proving properties of abstract objects Succession of applications of deductive rules = Part of a proof in mathematics Established results in mathematics = Include previously proved theorems and axioms

Abstractions from nature = Objects in modern mathematics with certain properties Entities stipulated to have certain properties = Objects in modern mathematics with certain properties Basic properties considered true starting points = Used in abstraction from nature Axioms = Entities stipulated to have certain properties

<p>Entities with certain properties called axioms = Related to modern mathematics Abstract objects in modern mathematics = Represented in modern mathematics Properties of abstract objects = Discovered through mathematical activity Proofs consisting of applications of deductive rules = Part of mathematical activity</p> Signup and view all the answers

<p>Shapes and spaces = Represented in modern mathematics through geometry Quantities and their changes = Represented in modern mathematics through analysis Numbers and their properties = Represented in modern mathematics through number theory Formulas and related structures = Represented in modern mathematics through algebra</p> Signup and view all the answers

<p>Number theory, algebra, geometry, and analysis</p> Signup and view all the answers

<p>The discovery of properties of abstract objects and the use of pure reason to prove them</p> Signup and view all the answers

<p>A succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties</p> Signup and view all the answers

<p>Numbers, formulas, related structures, shapes, spaces, and quantities and their changes</p> Signup and view all the answers

<p>No</p> Signup and view all the answers