A set is a group of things, ex: {dog, food}

A subset is a set that has only things also in the super set, examples: {dog}, {food}, {dog, food}

A power set is the set of all subsets, ex: {(dog), (food), (dog, food)}.

It follows that the number of things of things in a subset is less than or equal to its parent set, which is in turn less than the number in its power set.

...prepare for mindlblowing...

Suppose there is a set of all things called the universe, then any set must be a subset of the universe. But this implies that the power set is a subset of the universe, which is a logical contradiction since the power set is larger than the universe. Thus, the universe doesn't exist.

A subset is a set that has only things also in the super set, examples: {dog}, {food}, {dog, food}

A power set is the set of all subsets, ex: {(dog), (food), (dog, food)}.

It follows that the number of things of things in a subset is less than or equal to its parent set, which is in turn less than the number in its power set.

...prepare for mindlblowing...

Suppose there is a set of all things called the universe, then any set must be a subset of the universe. But this implies that the power set is a subset of the universe, which is a logical contradiction since the power set is larger than the universe. Thus, the universe doesn't exist.

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