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Questions and Answers
What defines a set in terms of its elements?
What defines a set in terms of its elements?
- Each element must be unique. (correct)
- Elements are always ordered.
- Elements can be repeated any number of times.
- A set can contain duplicate elements.
What is an extensional definition of a set?
What is an extensional definition of a set?
- A definition based on conditions that elements must satisfy.
- A method involving sets of other sets.
- A description of the properties shared by the elements.
- A list of specific elements that belong to the set. (correct)
What would be an example of an intensional definition of a set?
What would be an example of an intensional definition of a set?
- U = {x | x is a prime number} (correct)
- W = {5, 10, 15, 20}
- T = {2, 4, 6, 8}
- V = {3, 6, 9, 12}
Which of the following statements is true regarding the characteristic function of a set?
Which of the following statements is true regarding the characteristic function of a set?
In which context is the concept of intensional definition most applicable?
In which context is the concept of intensional definition most applicable?
Flashcards
Unique Elements in a Set
Unique Elements in a Set
Each element in a set must be distinct; no element can appear more than once.
Extensional Definition
Extensional Definition
A set defined by explicitly listing all its elements.
Intensional Definition
Intensional Definition
Describes a set based on a characteristic property shared by all its members.
Characteristic Function
Characteristic Function
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Intensional Definition Use
Intensional Definition Use
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