The Agora

The Infinite Sphere

Blaise Pascal

Pensees

The author reflects on the vastness of the universe as a mark of God's power, urging man to recognize his own insignificance within the 'remote corner of nature' he inhabits.

...arison with the vast circle described by the sun; and let him wonder at the fact that this vast circle is itself but a very fine point in comparison with that described by the stars in their revolution round the firmament. But if our view be arrested there, let our imagination pass beyond; it will sooner exhaust the power of conception than nature that of supplying material for conception. The whole visible world is only an imperceptible atom in the ample bosom of nature. No idea approaches it.

We may enlarge our conceptions beyond all imaginable space; we only produce atoms in comparison with the reality of things. It is an infinite sphere, the centre of which is everywhere, the circumference nowhere. In short it is the greatest sensible mark of the almighty power of God, that imagination loses itself in that thought. Returning to himself, let man consider what he is in comparison with all existence; let him regard himself as lost in this remote corner of nature; and from the little cell in which he finds himself lodged, I mean the universe, let him estimate at their true value the earth, kingdoms, cities, and himself.

What is a man in the Infinite? But to show him another prodigy equally astonishing, let him examine the most delicate things he knows. Let a mite be given him, with its minute body and parts incomparably more minute, limbs with their joints, veins in the limbs, blood in the veins, humours in the blood, drops in the humours, vapours in the drops. Dividing these last things again, let him exhaust his powers of conception, and let the last object at which he can arrive be now that of our discours...

Infinite Unknown Remains

Blaise Pascal

Pensees

The author encourages intellectual humility, suggesting that new discoveries should not be seen as the end of inquiry but as evidence of an infinite realm of knowledge yet to be explored.

...should not exist; that the soul should be joined to the body, and that we should have no soul; that the world should be created, and that it should not be created, etc.; that original sin should be, and that it should not be. 231 Do you believe it to be impossible that God is infinite, without parts?--Yes. I wish therefore to show you an infinite and indivisible thing. It is a point moving everywhere with an infinite velocity; for it is one in all places, and is all totality in every place.

Let this effect of nature, which previously seemed to you impossible, make you know that there may be others of which you are still ignorant. Do not draw this conclusion from your experiment, that there remains nothing for you to know; but rather that there remains an infinity for you to know.

232 Infinite movement, the point which fills everything, the moment of rest; infinite without quantity, indivisible and infinite. 233 Infinite--nothing.--Our soul is cast into a body, where it finds number, time, dimension. Thereupon it reasons, and calls this nature, necessity, and can believe nothing else. Unity joined to infinity adds nothing to it, no more than one foot to an infinite measure. The finite is annihilated in the presence of the infinite, and becomes a pure nothing....

The Unknown Infinite

Blaise Pascal

Pensees

Pascal uses the mathematical concept of infinity to argue that one can know a thing exists—such as God—without fully comprehending its specific nature or attributes.

...to infinity adds nothing to it, no more than one foot to an infinite measure. The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice. There is not so great a disproportion between our justice and that of God, as between unity and infinity. The justice of God must be vast like His compassion. Now justice to the outcast is less vast, and ought less to offend our feelings than mercy towards the elect.

We know that there is an infinite, and are ignorant of its nature. As we know it to be false that numbers are finite, it is therefore true that there is an infinity in number. But we do not know what it is. It is false that it is even, it is false that it is odd; for the addition of a unit can make no change in its nature. Yet it is a number, and every number is odd or even (this is certainly true of every finite number). So we may well know that there is a God without knowing what He is.

Is there not one substantial truth, seeing there are so many things which are not the truth itself? We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite, and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because He has neither extension nor limits. But by faith we know His existence; in glory we shall know His nat...

The Infinite's New Abyss

Blaise Pascal

Pensees

A contemplative exploration of the human scale, positioning man between the terrifying vastness of the infinite and the equally bottomless abyss of the microscopic.

...phere, the centre of which is everywhere, the circumference nowhere.[30] In short it is the greatest sensible mark of the almighty power of God, that imagination loses itself in that thought. Returning to himself, let man consider what he is in comparison with all existence; let him regard himself as lost in this remote corner of nature; and from the little cell in which he finds himself lodged, I mean the universe, let him estimate at their true value the earth, kingdoms, cities, and himself.

I will paint for him not only the visible universe, but all that he can conceive of nature's immensity in the womb of this abridged atom. Let him see therein an infinity of universes, each of which has its firmament, its planets, its earth, in the same proportion as in the visible world; in each earth animals, and in the last mites, in which he will find again all that the first had, finding still in these others the same thing without end and without cessation. Let him lose himself in wonders...

The Infinite Wager

Blaise Pascal

Pensees

The author presents a logical argument for religious faith, suggesting that it is rational to wager a finite life for the possibility of gaining an infinite, eternal reward.

...ut hesitation that He is.--"That is very fine. Yes, I must wager; but I may perhaps wager too much."--Let us see. Since there is an equal risk of gain and of loss, if you had only to gain two lives, instead of one, you might still wager. But if there were three lives to gain, you would have to play (since you are under the necessity of playing), and you would be imprudent, when you are forced to play, not to chance your life to gain three at a game where there is an equal risk of loss and gain.

But there is an eternity of life and happiness. And this being so, if there were an infinity of chances, of which one only would be for you, you would still be right in wagering one to win two, and you would act stupidly, being obliged to play, by refusing to stake one life against three at a game in which out of an infinity of chances there is one for you, if there were an infinity of an infinitely happy life to gain. But there is here an infinity of an infinitely happy life to gain, a chance of gain against a finite number of chances of loss, and what you stake is finite.

It is all divided; wherever the infinite is and there is not an infinity of chances of loss against that of gain, there is no time to hesitate, you must give all. And thus, when one is forced to play, he must renounce reason to preserve his life, rather than risk it for infinite gain, as likely to happen as the loss of nothingness. For it is no use to say it is uncertain if we will gain, and it is certain that we risk, and that the infinite distance between the certainty of what is staked an...