Mathematics: Fundamentals Quiz

Discovery of properties of abstract objects = Most mathematical activity Use of pure reason to prove properties = Proving properties with pure reason Succession of applications of deductive rules = Components of a proof Established results in a proof = Previously proved theorems and axioms

Number theory = Topics of numbers and related structures Algebra = Formulas and quantities and their changes Geometry = Shapes and the spaces in which they are contained Analysis = Quantities and their changes

Natural sciences = Uses mathematics for modeling phenomena Engineering = Relies on mathematics for its principles Medicine = Utilizes mathematics in various applications Social sciences = Depends on mathematics for analysis and modeling

<p>Statistics = Developed in close correlation with its applications Game theory = Closely related to its applications Applied mathematics = Grouped together with correlated applications Fundamental truths independent from scientific experimentation = General nature of mathematics</p> Signup and view all the answers

<p>Abstractions from nature or stipulated entities with certain properties = Objects in modern mathematics Axioms, previously proved theorems, and basic properties considered true starting points = Results included in a proof Entities stipulated to have certain properties = Modern mathematical entities Abstract objects consisting of abstractions from nature or stipulated entities = Nature-based or stipulated objects in modern mathematics</p> Signup and view all the answers

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