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Match the following areas of knowledge with their major subdisciplines in modern mathematics:
Match the following areas of knowledge with their major subdisciplines in modern mathematics:
Numbers and formulas = Number theory Shapes and spaces = Geometry Quantities and changes = Analysis Abstract objects and pure reason = Algebra
Match the following mathematical activities with their descriptions:
Match the following mathematical activities with their descriptions:
Discovery of properties of abstract objects = Most mathematical activity Succession of applications of deductive rules = A proof Previously proved theorems, axioms, and basic properties = Established results Abstractions from nature or stipulated entities = Objects in modern mathematics
Match the following concepts in mathematics with their definitions:
Match the following concepts in mathematics with their definitions:
Properties of abstract objects = Discovering characteristics of non-physical entities Deductive rules = Logical steps to derive conclusions from premises Axioms and basic properties = Fundamental assumptions and established truths Abstraction from nature or stipulated entities = Basis of objects in modern mathematics
Match the following components of modern mathematics with their representations:
Match the following components of modern mathematics with their representations:
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Match the following elements of a mathematical proof with their descriptions:
Match the following elements of a mathematical proof with their descriptions:
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