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@Redhearted

Posted 3 years ago

When they say something is infinite it means it's never ending right so i wanted to know is the numbers of sand on the earth infinite or can every particle be counted or is it like when they say the Galaxy is infinite ?

2 Discussions

@Holovision

Comment written 3 years ago

Infinite is a concept and not a number. There is a branch of mathematics that deals with transfinite numbers and thought experiments such as the "infinite hotel paradox" (video explanation link below) deal with the concept of infinity.

https://www.youtube.com/watch?v=Uj3_KqkI9Zo

One very simple way of "viewing infinity" is by looking at a fractal pattern. For example, the Koch snowflake figure has a finite surface area but the perimeter is infinite. (video explanation link below)

https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area/koch-snowflake/v/koch-snowflake-fractal

@Ralphy

Comment written 3 years ago

Infinite would mean in simple terms; the thing that has no known bound.

The number of sand particles on earth is finite as it is restrained to a specific geographic area where each particle is known to occupy a certain volume. We can therefore easily bound the number of these particles thus that number is finite and countable.

When it comes to the question of whether the Galaxy is finite or infinite, I can safely say that it is possible to estimate the number of particles within the defined bounds of a certain galaxy which leads us to conclude that a Galaxy is also within the realm of the finite.