As a kid when I thought of infinity, it only made sense in terms of whole, real numbers. 1 could double to 2. 2 could double to 4. 4 could double to 8, etc. You could carry on doubling numbers until you eventually died having achieved nothing in your life other than the ability to count incredibly high. Starting at zero and growing, i imagined a line with a notch for every integer, that would carry on forever with each of those numbers being made up at least in part by the numbers along the way. However one day, I realized that in between each of those notches, were another infinite amount of values. Infinitesimals, numbers so small and near in value there would be no way to measure their difference. That was the day my mind exploded.
Now, space is a concept NO ONE will ever truly grasp. Moving from an atomic level upwards, everything is made up of everything in it. We, and everything around us, are just trillions of atoms and cells moving in perfect harmony. These billions of cell bunch clumps make up the world and that world and others like it, make up a galaxy, and other galaxies along with that make up the universe. What’s beyond that? There must be something. Just because we don’t know now, doesn’t mean we won’t eventually. Just because we can only see so far down the line, doesn’t mean theres nothing.
We are infinite.
Read Pascal’s account of the double infinity :)
The way we measure things corresponds to known points of reference, because of the speed of light and the time and distance it takes to reach Earth from the sun we can distinguish between things. The way we see the universe depends on this programming, light has programmed in us naturally, and so an ant is smaller than an elephant, noticeable just by looking at them.
The fact that there are different infinities should blow your mind;
f(x) = 3x/x
f(x) = x^2/x
Inifinity isn’t so small anymore!
Even more incredible:
Beautifully said :)
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