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Questions and Answers

What are the major subdisciplines of modern mathematics?

Logic, topology, calculus, and probability

Set theory, differential equations, combinatorics, and linear algebra

Arithmetic, calculus, statistics, and trigonometry

Number theory, algebra, geometry, and analysis (correct)

What is the primary method of mathematical proof?

Trial and error with subsequent refinement

Empirical observation and experimentation

Succession of applications of deductive rules to established results (correct)

Intuitive leaps and creative insights

What do most mathematical activities involve?

Manipulation of concrete physical entities

Discovery of properties of abstract objects (correct)

Exploration of historical mathematical problems

Application of statistical methods to real-world data

What do mathematical objects consist of in modern mathematics?

Abstractions from nature or stipulated entities with certain properties Signup and view all the answers

What is the nature of mathematical activity in most cases?

Discovery of properties of abstract objects and use of pure reason to prove them Signup and view all the answers

What type of intelligence is general knowledge strongly associated with?

Crystallized intelligence Signup and view all the answers

What type of memory ability is thought to support general knowledge?

Long-term semantic memory ability Signup and view all the answers

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Questions and Answers

What are the major subdisciplines of modern mathematics?

What is the primary method of mathematical proof?

What do most mathematical activities involve?

What do mathematical objects consist of in modern mathematics?

What is the nature of mathematical activity in most cases?

What type of intelligence is general knowledge strongly associated with?

What type of memory ability is thought to support general knowledge?

What has been found to predict general knowledge scores even after accounting for age and personality traits?

What does general knowledge support for textual understanding?

What type of learning does general knowledge exclude?

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