Infinite Number facts
While investigating facts about Infinite Number Of Solutions and Infinite Number Of Monkeys, I found out little known, but curios details like:
About Richard Feynman who taught himself trigonometry, advanced algebra, infinite series, analytic geometry, and both differential and integral calculus at the age of 15. Later he jokingly Cracked the Safes with Atomic Secrets at Los Alamos by trying numbers he thought a physicist might use.
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Alexander the Great cried when he heard the astronomer Anaxarchus talk about the infinite number of worlds in the universe. One of Alexander's friends asked him what was the matter, and he replied: "There are so many worlds, and I have not yet conquered even one."'
What is infinite number?
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The infinite monkey theorem, which states that an infinite number of monkeys will eventually write any text, was tested with 5 real monkeys. They managed to type 5 pages largely consisting of the letter S, but they also starting bashing the keyboard with a rock, defecating and urinating on it.
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Stop signs have 8 sides because in 1923, it was suggested that the more dangerous an upcoming road was, the more sides a traffic sign should have. Circles (infinite number of sides) designated the riskiest hazards, octagons the second-most dangerous, and rectangles were informational.
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A study performed at the University of Plymouth wanted to test the claim that an infinite number of monkeys with typewriters would create the works Shakespeare. They got funding for six monkeys for one month. They produced five pages of text which consisted mainly of the letter "s".
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"Almost never" is a mathematical term referring to an event that could potentially happen, but has a probability of 0, like flipping a coin an infinite number of times and getting heads every time.
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The longest possible game of chess would last 8848.5 moves. The number of move theoretically possible was thought to be infinite until a change to the rules by FIDE in 2014.
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The Japanese created a silicone toy called Mugen Puchipuchi designed to mimic the sensation of popping bubble wrap for infinite number of times
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There is a species of jellyfish called the Immortal Jellyfish. The Turritopsis dohrnii species of jellyfish matures, reproduces, then sinks the ocean floor and reverts back to polyp stage. Then begins the maturing process an infinite number of times.
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Eternal Return Theory: The universe, all existence and energy has been recurring, and will continue to recur, in a self-similar form an infinite number of times across infinite time or space. Related to Pre-Determinism, where people are destined to continue repeating the same events over & over.
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Gabriel's horn is a solid that has a finite volume but infinite surface area. This constitutes a mathematical paradox: Gabriel's horn can be filled up with a finite number of cubic units of paint, but you need an infinite number of units of paint cover its surface.
Why is pi an infinite number?
You can easily fact check why are there infinite prime numbers by examining the linked well-known sources.
There is a Japanese toy that mimics the sensation of popping bubble wrap an infinite number of times
The white Stars on the national flag of Bosnia and Herzegovina are meant to be infinite in number. Therefore, it is impossible to depict the whole flag - source
Negative absolute temperatures (like -3 Kelvin) are possible (for certain systems) and are hotter than infinite positive temperature, e.g. if item A is at -3 K and in contact with item B at [arbitrarily high number] K, heat will flow from A into B. - source
Richard Dedekind wrote a short monograph titled "What are numbers and what are they good for?", which included his definition of an infinite set
There is an infinite 2-D grid of numbers such that if you sum the columns and then add up the sums of the columns, you get 2 (the sums come to 1, 1/2, 1/4, etc. and the sum-of-sums comes to 2), but if you sum the rows and then add up the sums of the rows, you get -2. - source
When is there an infinite number of solutions?
Alexander the Great cried when he heard the astronomer Anaxarchus talk about the infinite number of worlds in the universe.
How should the mirrors be arranged such that an infinite number?
The opposite of infinity is called "infinitesimal". It represents a number that is smaller than any feasible measurement, but not zero in size - or, the "infinite-th" item in a sequence.
The Mandelbrot Set, a set of complex numbers, made from a single function, which create nearly infinite recurring patterns
In an infinite universe, the number of self-aware brains that spontaneously and randomly form out of the chaos, complete with false memories of a life like ours, should vastly outnumber the real brains evolved from an inconceivably rare local fluctuation the size of the observable Universe.
On finding a unified theory of physics, Stephen Hawking proposed 3 possibilities: 1)there exists a complete unified theory that we will eventually find; 2)there are an infinite number of theories that overlap and describe the universe more and more accurately; and 3)there is no ultimate theory.