In mathematics, the well-ordering principle states that every non-empty subset of nonnegative integers contains a least element. In other words, the set of ... |
The well-ordering principle is a property of the positive integers which is equivalent to the statement of the principle of mathematical induction. |
30 мар. 2020 г. · A set T of real numbers is said to be well-ordered if every nonempty subset of T has a smallest element. |
Every nonempty set of nonnegative integers has a smallest element. This statement is known as The Well Ordering Principle. Do you believe it? Seems sort of ... |
4 мая 2023 г. · The well-ordering principle states that every non-empty set of positive integers has a least element. This means that given any set of positive ... |
A set X is well-ordered by a strict total order if every non-empty subset of X has a least element under the ordering. |
Well-ordering principle: Every nonempty subset T of N has a least element. That is, there is an m ∈ T such that m ≤ n for all n ∈ T. |
7 июл. 2021 г. · A set of real numbers (which could be decimal numbers) is said to be well-ordered if every nonempty subset in it has a smallest element. |
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