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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, topology, and algebra
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and probability
- Logic, differential equations, combinatorics, and cryptography
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to real-world problems
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Memorization of formulas and algorithms
- Experimental testing and observation
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- An iterative process of trial and error
- A collection of opinions and conjectures
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and observations
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
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What is the role of axioms in modern mathematics?
What is the role of axioms in modern mathematics?
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What is the sum of the interior angles of a simple (and planar) quadrilateral ABCD?
What is the sum of the interior angles of a simple (and planar) quadrilateral ABCD?
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What is a quadrilateral with vertices A, B, C, and D sometimes denoted as?
What is a quadrilateral with vertices A, B, C, and D sometimes denoted as?
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What does the word 'quadrilateral' derive from?
What does the word 'quadrilateral' derive from?
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What are the two types of simple quadrilaterals?
What are the two types of simple quadrilaterals?
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What is the special case related to the sum of interior angles of a simple (and planar) quadrilateral?
What is the special case related to the sum of interior angles of a simple (and planar) quadrilateral?
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