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So what about an "infinite set"? Well, to begin with you should say precisely what the term means.
Okay if you don't, at least someone should. Putting an adjective in front of a noun does not in itself make a mathematical concept.
Cantor declared that an "infinite set" is a set which is not finite. Surely that is unsatisfactory, as Cantor no doubt suspected himself. It's like declaring that an "all-seeing Leprechaun" is a Leprechaun which can see everything. Or an unstoppable mouse is a mouse which cannot be stopped. These grammatical constructions do not create concepts, except perhaps in literary or poetic sense. It is not clear that there are any sets that are not finite, just as it's not clear that there are any Leprechauns which can see everything, or that there are mice which cannot be stopped.
Certainly in science there is no reason to suppose that "infinite sets" exist. Are there and infinite number of quarks or electrons in the universe? If physicists had to hazard a guess, I am confident that the majority would say: No. But even if there were an infinite number of electrons it's unreasonable to suppose that you can get an infinite number of them all together as a single data object.
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>>9141425
The amount of photons in the universe is an infinite set. How so?
Assume the universe is finite and came into existence through the traditional big bang. Light is a material that does not stop. It is merely reflected or transferred through a medium. This would mean that light is bouncing off of the proverbial "boundaries" of the universe and returning back to a destination. Imagining the universe as closed vacuum makes it easy to prove this because there would be no heat death and the amount of light would remain infinitely regenerated.
Assume the universe is not finite. Light is generated from stars and shot out in near straight lines to their destinations. Assuming the universe is infinite means that the rays of light are traveling infinitely in a direction so long as they don't get stopped. Due to our traditional model of light, that isn't an issue. Also remember that light captured a single moment and transmits that through space. In other words, every billionth of a billionth of a billionth of a second, stars are transmitting information through light. Picture a single star's timeline as the real number line. From the birth, the instant it can produce light through fusion and sustain that on its own to death, the Nova. Cut the timeline in half and you have a different moment of light. Cut the timeline into fourths and each of the splits represents a different amount and color of light. You see the point hopefully.
The idea of this notion that infinite cannot be is a notion that is improperly viewed. When we stand back and break things down into their true nature, we see that infinite sets exist. If the. Prior two examples don't work. Think of it this way. Light bounces off of materials and never loses momentum; it's merely diluted until the photons are spread far enough apart so that it appears not to be light anymore but they are still photons and still there light is one of the few things that does not dissipate completely.
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>>9141517
Literally. Bull. Shit
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>>9141517
>Picture a single star's timeline as the real number line. From the birth, the instant it can produce light through fusion and sustain that on its own to death, the Nova. Cut the timeline in half and you have a different moment of light. Cut the timeline into fourths and each of the splits represents a different amount and color of light. You see the point hopefully.
The problem is, you can't physically stop time. A place of zero Kelvin is a place of zero energy. If light's there, there's energy. In order to create a place of zero Kelvin, you'd have to remove the energy but it'd still be moving. Can't obstruct the fluid dynamics, can't stop 'all of time.'
There is, however, an infinite amount of ways in which something can be arranged. An uncountably infinite coordinate plane, going infinitely small in values. Impossible to draw a coordinate plane with every possible value ( infinitesmals, decimals, etc.) So there ya go, infinite set of coordinates
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>>9141425
A set is inifnite if for its every finite subset we can find an element that belongs to the former but not the latter
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>>9141425
I call bullshit to both of you . It is possible to stop time we all all matter floting along the space time continuum we are basically a bag of electrical charged carbon atoms so one can stop it's time through a process of shutting down brain function so that all nerlogical activities are void projecting ones energies into space. Thousands of petals on a lotus . This is were you find infinite set . For a few fleeting moments you are near her alive are dead . Limbo . All things pass through a internal sense of self and slip away. One can see an entire life spent not spent grinds families pasthrough walls find interstellar peace. Blowing meditation out the water.
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>>9141708
A leprechaun is all seeing if for every set of seen perceptions there is a perception not in the set.
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>>9141425
>Well, to begin with you should say precisely what the term means...
From Wiki:
In axiomatic set theory and the branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory. It guarantees the existence of at least one infinite set, namely a set containing the natural numbers. It was first published by Ernst Zermelo as part of his set theory in 1908.
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>>9143267
So stopping neurological activities equates to stopping time? I guess my pistol now doubles as a permanent time machine. How much money do you think people would pay for this time machine service?
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