- #1
ben21
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Homework Statement
Find the power of set of all choice functions for P([itex]N[/itex]) - {0}.
The Attempt at a Solution
I really don't know how to start with that. Hope you will give some clues.
ben21 said:by "P(N) has N amount of number except zero" are you meaning, that P(N) has [itex]\aleph[/itex] one-element subsets excpet zero?
f(N)? Do you mean one-element subsets by N as argument?
The power of a set of choice functions is the number of elements in the set. It represents the cardinality or size of the set.
The power of a set of choice functions is directly related to the number of elements in the set. The more elements a set has, the greater its power will be.
Yes, the power of a set of choice functions can be infinite if the set is infinite and has an uncountable number of elements. This is often the case in mathematical and scientific contexts.
The power of a set of choice functions is important in decision-making as it represents the number of options or choices available. A larger power indicates a wider range of choices, while a smaller power indicates a more limited set of choices.
The power of a set of choice functions is calculated using the power set formula, which states that the power of a set is equal to 2 raised to the power of the number of elements in the set. For example, if a set has 3 elements, its power will be 2^3 = 8.