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What are the major subdisciplines of modern mathematics, representing topics like numbers, formulas, shapes, and quantities?
What are the major subdisciplines of modern mathematics, representing topics like numbers, formulas, shapes, and quantities?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve, in terms of the discovery of properties and their proof?
What does most mathematical activity involve, in terms of the discovery of properties and their proof?
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
Proofs consist of a succession of applications of deductive rules to already established results.
In which fields is mathematics essential, despite its fundamental truths being independent from scientific experimentation?
In which fields is mathematics essential, despite its fundamental truths being independent from scientific experimentation?
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Which areas of mathematics are often grouped under applied mathematics and developed in close correlation with their applications?
Which areas of mathematics are often grouped under applied mathematics and developed in close correlation with their applications?
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