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Infinite Sets facts

While investigating facts about Infinite Sets Examples and Infinite Sets In Math, I found out little known, but curios details like:

Infinite sets are not all created equal, however. There are actually many different sizes or levels of infinity; some infinite sets are vastly larger than other infinite sets.

how to find cardinality of infinite sets?

While in Syracuse David Foster Wallace wrote most of his famous novel Infinite Jest. The finished book was 1,100 pages long. The novel dealt with addiction, art, and consumerism, and was set in the near future.

What are infinite sets?

In my opinion, it is useful to put together a list of the most interesting details from trusted sources that I've come across answering what is the difference between finite and infinite sets. Here are 8 of the best facts about Infinite Sets Definition and Infinite Sets With Different Cardinality I managed to collect.

what are finite and infinite sets?

  1. There are multiple levels of infinity and infinite sets are not all created equal.

  2. Richard Dedekind wrote a short monograph titled "What are numbers and what are they good for?", which included his definition of an infinite set

  3. The Mandelbrot Set, a set of complex numbers, made from a single function, which create nearly infinite recurring patterns

  4. Arrow's impossibility theorem proves there's no ranked preference voting system that satisfies a certain set of "fairness" criteria (unless you allow an infinite population!)

  5. A lifestyle chart used by business's and large markets called VALS. Lifestyles are not infinite and have a fixed set of types that markets prey on. (Survey included)

  6. A half-naked statue of George Washington was commissioned by Congress, who relocated it when it was found funny and offensive. It later appeared in BioShock Infinite, set in an alternate 1912 where Washington, Franklin, and Jefferson are worshiped by the inhabitants of the city of Columbia.

infinite sets facts
What is infinite sets in mathematics?

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