Of common conceptions, against the Stoics. (36-40)

DIADUMENUS. You may hear them and read many of their writings, in which they jangle with the Academics, and cry out against them as confounding all things with their doctrine of indistinguishable identity, and as vehemently contending that there is but one quality in two substances. And yet there is no man who understands not this, and would not on the contrary think it wonderful and extremely strange if there should not in all time be found a dove exactly and in all respects like to another dove, a bee to a bee, a grain of wheat to a grain of wheat, or (as the proverb has it) one fig to another. But these things are plainly against common sense which the Stoics say and feign,—that there are in one substance two particular qualities, and that the same substance, which has particularly one quality, when another quality is added, receives and equally conserves them both. For if there may be two, there may be also three, four, and five, and even more than you can name, in one and the same substance; I say not in its different parts, but all alike in the whole, though ever infinite in number. For Chrysippus says, that Jupiter and the world are like to man, as is also Providence to the soul; when therefore the conflagration shall be, Jupiter, who alone of all the Gods is incorruptible, will retire into Providence, and they being together, will both perpetually remain in the one substance of the ether.

DIADUMENUS. But leaving now the Gods, and beseeching them to give these Stoics common sense and a common understanding, let us look into their doctrines concerning the elements. It is against the common conceptions that one body should be the place of another, or that a body should penetrate through a body, neither of them containing any vacuity, but the full passing into the full, and that which has no vacuity—but is full and has no place by reason of its continuity—receiving the mixture. But these men, not thrusting one thing into one, nor yet two or three or ten together, but jumbling all the parts of the world, being cut piecemeal, into any one thing which they shall first light on, and saying that the very least which is perceived by sense will contain the greatest that shall come unto it, boldly frame a new doctrine, convicting themselves here, as in many other things, of taking for their suppositions things repugnant to common sense. And presently upon this they are forced to admit into their discourse many monstrous and strange positions, mixing whole bodies with whole; of which this also is one, that three are four. For this others put as an example of those things which cannot be conceived even in thought. But to the Stoics it is a matter of truth, that when one cup of wine is mixed with two of water, if it is not to be lost but the mixture is to be equalized, it must be extended through the whole and be confounded therewith, so as to make that which was one two by the equalization of the mixture. For the one remains, but is extended as much as two, and thus is equal to the double of itself. Now if it happens in the mixture with two to take the measure of two in the diffusion, this is together the measure both of three and four,—of three because one is mixed with two, and of four because, being mixed with two, it has an equal quantity with those with which it is mixed. Now this fine subtilty is a consequence of their putting bodies into a body, and so likewise is the unintelligibleness of the manner how one is contained in the other. For it is of necessity that, of bodies passing one into another by mixture, the one should not contain and the other be contained, nor the one receive and the other be received within; for this would not be a mixture, but a contiguity and touching of the superficies, the one entering in, and the other enclosing it without, and the rest of the parts remaining unmixed and pure, and so it would be merely many different things. But there being a necessity, according to their axiom of mixture, that the things which are mixed should be mingled one within the other, and that the same things should together be contained by being within, and by receiving contain the other, and that neither of them could possibly exist again as it was before, it comes to pass that both the subjects of the mixture mutually penetrate each other, and that there is not any part of either remaining separate, but that they are necessarily all filled with each other.

DIADUMENUS. Here now that famous leg of Arcesilaus comes in, with much laughter insulting over their absurdities; for if these mixtures are through the whole, what should hinder but that, a leg being cut off and putrefied and cast into the sea and diffused, not only Antigonus’s fleet (as Arcesilaus said) might sail through it, but also Xerxes’s twelve hundred ships, together with the Grecians’ three hundred galleys, might fight in it? For the progress will not henceforth fail, nor the lesser cease to be in the greater; or else the mixture will be at an end, and the extremity of it, touching where it shall end, will not pass through the whole, but will give over being mingled. But if the mixture is through the whole, the leg will not indeed of itself afford the Greeks room for the sea-fight, for to this there is need of putrefaction and change; but if one glass or but one drop of wine shall fall from hence into the Aegean or Cretan Sea, it will pass into the Ocean or main Atlantic Sea, not lightly touching its superficies, but being spread quite through it in depth, breadth, and length. And this Chrysippus admits, saying immediately in his First Book of Natural Questions, that there is nothing to hinder one drop of wine from being mixed with the whole sea. And that we may not wonder at this, he says that this one drop will by mixtion extend through the whole world; than which I know not any thing that can appear more absurd.

DIADUMENUS. And this also is against sense, that there is not in the nature of bodies any thing either supreme or first or last, in which the magnitude of the body may terminate; but that there is always some phenomenon beyond the assumed body, and that this still going on carries the subject to infinity and undeterminateness. For one body cannot be imagined greater or less than another, if both of them may by their parts proceed in infinitum; but the nature of inequality is taken away. For of things that are esteemed unequal, the one falls short in its last parts, and the other goes on and exceeds. Now if there is no inequality, it follows that there is no unevenness nor roughness of bodies; for unevenness is the inequality of the same superficies with itself, and roughness is an unevenness joined with hardness; neither of which is left us by those who terminate no body in its last part, but extend them all by the multitude of their parts unto an infinity. And yet is it not evident that a man consists of more parts than a finger, and the world of more than a man? This indeed all men know and understand, unless they become Stoics; but if they are once Stoics, they on the contrary say and think that a man has no more parts than a finger, nor the world than a man. For division reduces bodies to an infinity; and of infinites neither is more or less or exceeds in multitude, or the parts of the remainder will cease to be divided and to afford a multitude of themselves.

LAMPRIAS. How then do they extricate themselves out of these difficulties?

DIADUMENUS. Surely with very great cunning and courage. For Chrysippus says: If we are asked, if we have any parts, and how many, and of what and how many parts they consist, we are to use a distinction, making it a position that the whole body is compacted of the head, trunk, and legs, as if that were all which is enquired and doubted of. But if they extend their interrogation to the last parts, no such thing is to be undertaken, but we are to say that they consist not of any certain parts, nor yet of so many, nor of infinite, nor of finite. And I seem to myself to have used his very words, that you may perceive how he maintains the common notions, forbidding us to think of what or how many parts every body is compacted, and whether of infinite or finite. For if there were any medium between finite and infinite, as the indifferent is between good and evil, he should, by telling us what that is, have solved the difficulty. But if—as that which is not equal is presently understood to be unequal, and that which is not mortal to be immortal—we also understand that which is not finite to be immediately infinite, to say that a body consists of parts neither finite nor infinite is, in my opinion, the same thing as to affirm that an argument is compacted of positions neither true nor false ⋯

DIADUMENUS. To this he with a certain youthful rashness adds, that in a pyramid consisting of triangles, the sides inclining to the juncture are unequal, and yet do not exceed one another in that they are greater. Thus does he keep the common notions. For if there is any thing greater and not exceeding, there will be also something less and not deficient, and so also something unequal which neither exceeds nor is deficient; that is, there will be an unequal thing equal, a greater not greater, and a less not less. See it yet farther, in what manner he answered Democritus, enquiring philosophically and properly, if a cone is divided by a plane parallel with its base, what is to be thought of the superficies of its segments, whether they are equal or unequal; for if they are unequal, they will render the cone uneven, receiving many step-like incisions and roughnesses; but if they are equal, the sections will be equal, and the cone will seem to have the same qualities as the cylinder, to wit, to be composed not of unequal but of equal circles; which is most absurd. Here, that he may convince Democritus of ignorance, he says, that the superficies are neither equal or unequal, but that the bodies are unequal, because the superficies are neither equal nor unequal. Indeed to assert this for a law, that bodies are unequal while the superficies are not unequal, is the part of a man who takes to himself a wonderful liberty of writing whatever comes into his head. For reason and manifest evidence, on the contrary, give us to understand, that the superficies of unequal bodies are unequal, and that the bigger the body is, the greater also is the superficies, unless the excess, by which it is the greater, is void of a superficies. For if the superficies of the greater bodies do not exceed those of the less, but sooner fail, a part of that body which has an end will be without an end and infinite. For if he says that he is compelled to this, ⋯ For those rabbeted incisions, which he suspects in a cone, are made by the inequality of the body, and not of the superficies. It is ridiculous therefore to take the superficies out of the account, and after all to leave the inequality in the bodies themselves. But to persist still in this matter, what is more repugnant to sense than the imagining of such things? For if we admit that one superficies is neither equal nor unequal to another, we may say also of magnitude and of number, that one is neither equal nor unequal to another; and this, not having any thing that we can call or think to be a neuter or medium between equal and unequal. Besides, if there are superficies neither equal nor unequal, what hinders but there may be also circles neither equal nor unequal? For indeed these superficies of conic sections are circles. And if circles, why may not also their diameters be neither equal nor unequal? And if so, why not also angles, triangles, parallelograms, parallelepipeds, and bodies? For if the longitudes are neither equal nor unequal to one another, so will the weight, percussion, and bodies be neither equal nor unequal. How then dare these men inveigh against those who introduce vacuities, and suppose that there are some indivisible atoms, and who say that motion and rest are not inconsistent with each other, when themselves affirm such axioms as these to be false: If any things are not equal to one another, they are unequal to one another; and the same things are not equal and unequal to one another? But when he says that there is something greater and yet not exceeding, it were worth the while to ask, whether these things quadrate with one another. For if they quadrate, how is either the greater? And if they do not quadrate, how can it be but the one must exceed and the other fall short? For if neither of these be, the other both will and will not quadrate with the greater. For those who keep not the common conceptions must of necessity fall into such perplexities.

DIADUMENUS. It is moreover against sense to say that nothing touches another; nor is this less absurd, that bodies touch one another, but touch by nothing. For they are necessitated to admit these things, who allow not the least parts of a body, but assume something which is before that which seems to touch, and never cease to proceed still farther. What, therefore, these men principally object to the patrons of those indivisible bodies called atoms is this, that there is neither a touching of the whole by the whole, nor of the parts by the parts; for that the one makes not a touching but a mixture, and that the other is not possible, these individuals having no parts. How then do not they themselves fall into the same inconvenience, leaving no first or last part, whilst they say, that whole bodies mutually touch one another by a term or extremity and not by a part? But this term is not a body; therefore one body shall touch one another by that which is incorporeal, and again shall not touch, that which is incorporeal coming between them. And if it shall touch, the body shall both do and suffer something by that which is incorporeal. For it is the nature of bodies mutually to do and suffer, and to touch. But if the body has a touching by that which is incorporeal, it will have also a contact, and a mixture, and a coalition. Again, in these contacts and mixtures the extremities of the bodies must either remain, or not remain but be corrupted. Now both of these are against sense. For neither do they themselves admit corruptions and generations of incorporeal things; nor can there be a mixture and coalition of bodies retaining their own extremities. For the extremity determines and constitutes the nature of the body; and mixtions, unless the mutual laying of parts by parts are thereby understood, wholly confound all those that are mixed. And, as these men say, we must admit the corruption of extremities in mixtures, and their generation again in the separation of them. But this none can easily understand. Now by what bodies mutually touch each other, by the same they press, thrust, and crush each other. Now that this should be done or suffered by things that are incorporeal, is impossible and not so much as to be imagined. But yet this they would constrain us to conceive. For if a sphere touch a plane by a point, it is manifest that it may be also drawn over the plane upon a point; and if the superficies of it is painted with vermilion, it will imprint a red line on the plane; and if it is fiery hot, it will burn the plane. Now for an incorporeal thing to color, or a body to be burned by that which is incorporeal, is against sense. But if we should imagine an earthen or glassy sphere to fall from on high upon a plane of stone, it were against reason to think it would not be broken, being struck against that which is hard and solid; but it would be more absurd that it should be broken, falling upon an extremity or point that is incorporeal. So that the presumptions concerning things incorporeal and corporeal are wholly disturbed, or rather taken away, by their joining to them many impossibilities.