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Which major subdiscipline of mathematics is concerned with the properties of abstract objects and the use of pure reason to prove them?
Which major subdiscipline of mathematics is concerned with the properties of abstract objects and the use of pure reason to prove them?
In which areas is mathematics essential according to the given text?
In which areas is mathematics essential according to the given text?
What kind of rules are applied to already established results in mathematics?
What kind of rules are applied to already established results in mathematics?
Which area of mathematics is often grouped under applied mathematics due to its correlation with real-world applications?
Which area of mathematics is often grouped under applied mathematics due to its correlation with real-world applications?
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What are the fundamental truths of mathematics independent from according to the given text?
What are the fundamental truths of mathematics independent from according to the given text?
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