keiths
Posts: 2195
Joined: Jan. 2006
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| Quote (Joe G @ April 21 2019,11:47) | set theory basics
| Quote | | Set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions. |
Set Theory
| Quote | | Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. |
Now what, Johnny? |
Joe,
You can't possibly be this are stupid.
A collection is simply a group of things. See definition 2:
| Quote | col·lec·tion
/kəˈlekSH(ə)n/
noun
1. the action or process of collecting someone or something.
2. a group of things or people. |
Suppose I want to discuss the set of all integers between 10 and 10 trillion trillion trillion. I don't need to go out and "collect" each one of those integers. Nor do I need to generate each one by computer. I can simply specify the set informally:
| Quote | | the set of all integers between 10 and 10 trillion trillion trillion. |
Or formally:
| Quote | | {∀x∈ℕ : x > 10 ∧ x < 10^37} |
Edited by keiths on April 21 2019,12:19
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And the set of natural numbers is also the set that starts at 0 and goes to the largest number. -- Joe G
Please stop putting words into my mouth that don't belong there and thoughts into my mind that don't belong there. -- KF
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