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Infinity

What does infinity mean to you? Are you not infinity and yourself?Dejan Stojanovic in Circling, “Infinity” Sequence: “Recircling”.

— Infinity self

Empedocles holds that the corporeal elements are four, while all the elements-including those which initiate movement-are six in number; whereas Anaxagoras agrees with Leucippus and Democritus that the elements are infinite.Aristotle, On Generation and Corruption.

— Infinity men

Motion is supposed to belong to the class of things which are continuous; and the infinite presents itself first in the continuous--that is how it comes about that infinite is often used in definitions of the continuous what is infinitely divisible is continuous. Besides these, place, void, and time are thought to be necessary conditions of motion.Aristotle, Physics Bk III.1, Hardie and Gaye.

— Infinity time

The science of nature is concerned with spatial magnitudes and motion and time, and each of these at least is necessarily infinite or finite, even if some things dealt with by the science are not, e.g. a quality or a point--it is not necessary perhaps that such things should be put under either head. Hence it is incumbent on the person who specializes in physics to discuss the infinite and to inquire whether there is such a thing or not, and, if there is, what it is. The appropriateness to the science of this problem is clearly indicated. All who have touched on this kind of science in a way worth considering have formulated views about the infinite, and indeed, to a man, make it a principle of things.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity science

Some, as the Pythagoreans and Plato, make the infinite a principle in the sense of a self-subsistent substance, and not as a mere attribute of some other thing. Only the Pythagoreans place the infinite among the objects of sense they do not regard number as separable from these, and assert that what is outside the heaven is infinite. Plato, on the other hand, holds that there is no body outside the Forms are not outside because they are nowhere, yet that the infinite is present not only in the objects of sense but in the Forms also.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity self

The Pythagoreans identify the infinite with the even. For this, they say, when it is cut off and shut in by the odd, provides things with the element of infinity. An indication of this is what happens with numbers. If the gnomons are placed round the one, and without the one, in the one construction the figure that results is always different, in the other it is always the same. But Plato has two infinities, the Great and the Small.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity men

The physicists always regard the infinite as an attribute of a substance which is different from it and belongs to the class of the so-called elements--water or air or what is intermediate between them. Those who make them limited in number never make them infinite in amount. But those who make the elements infinite in number, as Anaxagoras and Democritus do, say that the infinite is continuous by contact-compounded of the homogeneous parts.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity art

Belief in the existence of the infinite comes mainly from five considerations: 1 From the nature of time--for it is infinite. 2 From the division of magnitudes-for the mathematicians also use the notion of the infinite. 3 If coming to be and passing away do not give out, it is only because that from which things come to be is infinite. 4 Because the limited always finds its limit in something, so that there must be no limit, if everything is always limited by something different from itself. 5 Most of all, a reason which is peculiarly appropriate and presents the difficulty that is felt by everybody--not only number but also mathematical magnitudes and what is outside the heaven are supposed to be infinite because they never give out in our thought.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity time

That what is outside is infinite leads people to suppose that body also is infinite, and that there is an infinite number of worlds. Why should there be body in one part of the void rather than in another? Grant only that mass is anywhere and it follows that it must be everywhere. Also, if void and place are infinite, there must be infinite body too, for in the case of eternal things what may be must be.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity art

The problem of the infinite is difficult: many contradictions result whether we suppose it to exist or not to exist. If it exists, we have still to ask how it exists; as a substance or as the essential attribute of some entity? Or in neither way, yet none the less is there something which is infinite or some things which are infinitely many?Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity man

The problem which specially belongs to the physicist is to investigate whether there is a sensible magnitude which is infinite. We must begin by distinguishing the various senses in which the term infinite is used. 1 What is incapable of being gone through, because it is not in its nature to be gone through the sense in which the voice is invisible. 2 What admits of being gone through, the process however having no termination, or what scarcely admits of being gone through. 3 What naturally admits of being gone through, but is not actually gone through or does not actually reach an end. Further, everything that is infinite may be so in respect of addition or division or both.Aristotle, Physics Bk III.4, Hardie and Gaye.

— Infinity nature

If bounded by a surface is the definition of body there cannot be an infinite body either intelligible or sensible.Aristotle, Physics Bk III.5, Hardie and Gaye.

— Infinity body

Anaxagoras gives an absurd account of why the infinite is at rest. He says that the infinite itself is the cause of its being fixed. This because it is in itself, since nothing else contains it--on the assumption that wherever anything is, it is there by its own nature. But this is not true: a thing could be somewhere by compulsion, and not where it is its nature to be.Aristotle, Physics Bk III.5, Hardie and Gaye.

— Infinity nature

The view that there is an infinite body is plainly incompatible with the doctrine that there is necessarily a proper place for each kind of body, if every sensible body has either weight or lightness, and if a body has a natural locomotion towards the centre if it is heavy, and upwards if it is light. This would need to be true of the infinite also. But neither character can belong to it: it cannot be either as a whole, nor can it be half the one and half the other. For how should you divide it? Or how can the infinite have the one part up and the other down, or an extremity and a centre?Aristotle, Physics Bk III.5, Hardie and Gaye.

— Infinity war

To suppose that the infinite does not exist in any way leads obviously to many impossible consequences: there will be a beginning and an end of time, a magnitude will not be divisible into magnitudes, number will not be infinite. clearly there is a sense in which the infinite exists and another in which it does not.Aristotle, Physics Bk III.6, Hardie and Gaye.

— Infinity time

The infinite turns out to be the contrary of what it is said to be. It is not what has nothing outside it that is infinite, but what always has something outside it.Aristotle, Physics Bk III.6, Hardie and Gaye.

— Infinity gay

Parmenides must be thought to have spoken better than Melissus. The latter says that the whole is infinite, but the former describes it as limited, equally balanced from the middle. it is absurd and impossible to suppose that the unknowable and indeterminate should contain and determine.Aristotle, Physics Bk III.6, Hardie and Gaye.

— Infinity men

What is one is indivisible whatever it may be, e.g. a man is one man, not many. Number on the other hand is a plurality of ones and a certain quantity of them. Hence number must stop at the indivisible: for two and three are merely derivative terms, and so with each of the other numbers.Aristotle, Physics Bk III.6, Hardie and Gaye.

— Infinity hate

In the direction of largeness it is always possible to think of a larger number: for the number of times a magnitude can be bisected is infinite. Hence this infinite is potential, never actual: the number of parts that can be taken always surpasses any assigned number. But this number is not separable from the process of bisection, and its infinity is not a permanent actuality but consists in a process of coming to be, like time and the number of time.Aristotle, Physics Bk III.7, 207b12.

— Infinity time

With magnitudes the contrary holds. What is continuous is divided ad infinitum, but there is no infinite in the direction of increase. For the size which it can potentially be, it can also actually be. Hence since no sensible magnitude is infinite, it is impossible to exceed every assigned magnitude; for if it were possible there would be something bigger than the heavens.Aristotle, Physics Bk III.7, Hardie and Gaye.

— Infinity heaven

Our account does not rob the mathematicians of their science, by disproving the actual existence of the infinite in the direction of increase, in the sense of the untraversable. In point of fact they do not need the infinite and do not use it. They postulate only that the finite straight line may be produced as far as they wish.Aristotle, Physics Bk III.7, Hardie and Gaye.

— Infinity science

It is plain that the infinite is a cause in the sense of matter, and that its essence is privation, the subject as such being what is continuous and sensible. All the other thinkers, too, evidently treat the infinite as matter--that is why it is inconsistent in them to make it what contains, and not what is contained.Aristotle, Physics Bk III.7, Hardie and Gaye.

— Infinity gay

SWA Magazine: How about orbital space colonies? Do you see these facilities being built or is the government going to cut back on projects like this?

— Infinity men

Augustine of Hippo, The City of God, Book XI, Ch. 5 That We Ought Not to Seek to Comprehend the Infinite Ages of Time Before the World, Nor the Infinite Realms of Space

— Infinity god

Frank: I was bored. Id done everything. Id gone to the limits. There was nothing left to experience. At least nothing I could buy on earth.Clive Barker, Hellraiser film

— Infinity art

Even if there were exceedingly few things in a finite space in an infinite time, they would not have to repeat in the same configurations. Suppose there were three wheels of equal size, rotating on the same axis, one point marked on the circumference of each wheel, and these three points lined up in one straight line. If the second wheel rotated twice as fast as the first, and if the speed of the third wheel was 1/π of the speed of the first, the initial line-up would never recur.Walter Kaufmann, Nietzsche: Philosopher, Psychologist, Antichrist p. 327

— Infinity time

In an infinite, eternal universe, the point is that anything is possible, and its unlikely that we can even begin to scratch the surface of the full range of possibilities.

— Infinity universe

Swamp Thing: You thought that it could notget worseyou imaginedthat thingshad reached their limits. Do notdelude yourselvesthere areno limits.Alan Moore, Saga of the Swamp Thing #53, pg. 25

— Infinity thought

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