Of these two Infinites of science, that of greatness is the most palpable, and hence a few persons have pretended to know all things. “I will speak of the whole,” said Democritus. [This saying of Democritus is quoted by Montaigne, Essais, ii, 12.]
But the infinitely little is the least obvious. Philosophers have much oftener claimed to have reached it, and it is here they have all stumbled. This has given rise to such common titles as First Principles, Principles of Philosophy, and the like, as ostentatious in fact, though not in appearance, as that one which blinds us, De omni scibili.
We naturally believe ourselves far more capable of reaching the centre of things than of embracing their circumference. The visible extent of the world visibly exceeds us; but as we exceed little things, we think ourselves more capable of knowing them. And yet we need no less capacity for attaining the Nothing than the All. Infinite capacity is required for both, and it seems to me that whoever shall have understood the ultimate principles of being might also attain to the knowledge of the Infinite. The one depends on the other, and one leads to the other. These extremes meet and reunite by force of distance, and find each other in God, and in God alone.
Let us then take our compass; we are something, and we are not everything. The nature of our existence hides from us the knowledge of first beginnings which are born of the Nothing; and the littleness of our being conceals from us the sight of the Infinite.
Our intellect holds the same position in the world of thought as our body occupies in the expanse of nature.
Limited as we are in every way, this state which holds the mean between two extremes is present in all our impotence. Our senses perceive no extreme. Too much sound deafens us; too much light dazzles us; too great distance or proximity hinders our view. Too great length and too great brevity of discourse tend to obscurity; too much truth is paralysing (I know some who cannot understand that to take four from nothing leaves nothing). First principles are too self-evident for us; too much pleasure disagrees with us. Too many concords are annoying in music; too many benefits irritate us; we wish to have the wherewithal to over-pay our debts. Beneficia eo usque læta sunt dum videntur exsolvi posse; ubi multum antevenere, pro gratia odium redditur. We feel neither extreme heat nor extreme cold. Excessive qualities are prejudicial to us and not perceptible by the senses; we do not feel but suffer them. Extreme youth and extreme age hinder the mind, as also too much and too little education. In short, extremes are for us as though they were not, and we are not within their notice. They escape us, or we them.
This is our true state; this is what makes us incapable of certain knowledge and of absolute ignorance. We sail within a vast sphere, ever drifting in uncertainty, driven from end to end. When we think to attach ourselves to any point and to fasten to it, it wavers and leaves us; and if we follow it, it eludes our grasp, slips past us, and vanishes for ever. Nothing stays for us. This is our natural condition, and yet most contrary to our inclination; we burn with desire to find solid ground and an ultimate sure foundation whereon to build a tower reaching to the Infinite. But our whole groundwork cracks, and the earth opens to abysses.
