Concept

How can an infinite relation be specified extensionally?

Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1

"As an example of the second, consider the relation “isLuckierThan” between N and N. (The “N” means “the natural numbers.”) We specify it extensionally as follows: { (1, 13), (2, 13), (3, 13), …(12, 13), (14, 13), (15, 13), (16, 13), … } Here we’re just saying “every number is luckier than 13 (except for 13 itself, of course).”"

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How can an infinite relation be specified extensionally? | Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk | Bifalgorithm | Bifalgorithm