Parmenides

Two things, then, at the least are necessary to make contact possible?

They are.

And if to the two a third be added in due order, the number of terms will be three, and the contacts two?

Yes.

And every additional term makes one additional contact, whence it follows that the contacts are one less in number than the terms; the first two terms exceeded the number of contacts by one, and the whole number of terms exceeds the whole number of contacts by one in like manner; and for every one which is afterwards added to the number of terms, one contact is added to the contacts.

True.

Whatever is the whole number of things, the contacts will be always one less.

True.

But if there be only one, and not two, there will be no contact?

How can there be?

And do we not say that the others being other than the one are not one and have no part in the one?

True.

Then they have no number, if they have no one in them?

Of course not.

Then the others are neither one nor two, nor are they called by the name of any number?

No.

One, then, alone is one, and two do not exist?

Clearly not.

And if there are not two, there is no contact?

There is not.

Then neither does the one touch the others, nor the others the one, if there is no contact?

Certainly not.

For all which reasons the one touches and does not touch itself and the others?

True.

Further – is the one equal and unequal to itself and others?

How do you mean?

If the one were greater or less than the others, or the others greater or less than the one, they would not be greater or less than each other in virtue of their being the one and the others; but, if in addition to their being what they are they had equality, they would be equal to one another, or if the one had smallness and the others greatness, or the one had greatness and the others smallness – whichever kind had greatness would be greater, and whichever had smallness would be smaller?

Certainly.

Then there are two such ideas as greatness and smallness; for if they were not they could not be opposed to each other and be present in that which is.

How could they?

If, then, smallness is present in the one it will be present either in the whole or in a part of the whole?

Certainly.

Suppose the first; it will be either co-equal and co-extensive with the whole one, or will contain the one?

Clearly.

If it be co-extensive with the one it will be co-equal with the one, or if containing the one it will be greater than the one?

Of course.

But can smallness be equal to anything or greater than anything, and have the functions of greatness and equality and not its own functions?

Impossible.

Then smallness cannot be in the whole of one, but, if at all, in a part only?

Yes.

And surely not in all of a part, for then the difficulty of the whole will recur; it will be equal to or greater than any part in which it is.

Certainly.

Then smallness will not be in anything, whether in a whole or in a part; nor will there be anything small but actual smallness.

True.

Neither will greatness be in the one, for if greatness be in anything there will be something greater other and besides greatness itself, namely, that in which greatness is; and this too when the small itself is not there, which the one, if it is great, must exceed; this, however, is impossible, seeing that smallness is wholly absent.

True.

But absolute greatness is only greater than absolute smallness, and smallness is only smaller than absolute greatness.

Very true.

Then other things not greater or less than the one, if they have neither greatness nor smallness; nor have greatness or smallness any power of exceeding or being exceeded in relation to the one, but only in relation to one another; nor will the one be greater or less than them or others, if it has neither greatness nor smallness.

Clearly not.

Then if the one is neither greater nor less than the others, it cannot either exceed or be exceeded by them?

Certainly not.

And that which neither exceeds nor is exceeded, must be on an equality; and being on an equality, must be equal.

Of course.

And this will be true also of the relation of the one to itself; having neither greatness nor smallness in itself, it will neither exceed nor be exceeded by itself, but will be on an equality with and equal to itself.

Certainly.

Then the one will be equal both to itself and the others?

Clearly so.

And yet the one, being itself in itself, will also surround and be without itself; and, as containing itself, will be greater than itself; and, as contained in itself, will be less; and will thus be greater and less than itself.

It will.

Now there cannot possibly be anything which is not included in the one and the others?

Of course not.

But, surely, that which is must always be somewhere?

Yes.

But that which is in anything will be less, and that in which it is will be greater; in no other way can one thing be in another.

True.

And since there is nothing other or besides the one and the others, and they must be in something, must they not be in one another, the one in the others and the others in the one, if they are to be anywhere?

That is clear.

But inasmuch as the one is in the others, the others will be greater than the one, because they contain the one, which will be less than the others, because it is contained in them; and inasmuch as the others are in the one, the one on the same principle will be greater than the others, and the others less than the one.

True.

The one, then, will be equal to and greater and less than itself and the others?

Clearly.

And if it be greater and less and equal, it will be of equal and more and less measures or divisions than itself and the others, and if of measures, also of parts?

Of course.

And if of equal and more and less measures or divisions, it will be in number more or less than itself and the others, and likewise equal in number to itself and to the others?

How is that?

It will be of more measures than those things which it exceeds, and of as many parts as measures; and so with that to which it is equal, and that than which it is less.

True.

And being greater and less than itself, and equal to itself, it will be of equal measures with itself and of more and fewer measures than itself; and if of measures then also of parts?

It will.

And being of equal parts with itself, it will be numerically equal to itself; and being of more parts, more, and being of less, less than itself?

Certainly.

And the same will hold of its relation to other things; inasmuch as it is greater than them, it will be more in number than them; and inasmuch as it is smaller, it will be less in number; and inasmuch as it is equal in size to other things, it will be equal to them in number.

Certainly.

Once more, then, as would appear, the one will be in number both equal to and more and less than both itself and all other things.

It will.

Does the one also partake of time? And is it and does it become older and younger than itself and others, and again, neither younger nor older than itself and others, by virtue of participation in time?

How do you mean?

If one is, being must be predicated of it?

Yes.

But to be (einai) is only participation of being in present time, and to have been is the participation of being at a past time, and to be about to be is the participation of being at a future time?

Very true.

Then the one, since it partakes of being, partakes of time?

Certainly.

And is not time always moving forward?

Yes.

Then the one is always becoming older than itself, since it moves forward in time?

Certainly.

And do you remember that the older becomes older than that which becomes younger?

I remember.

Then since the one becomes older than itself, it becomes younger at the same time?

Certainly.

Thus, then, the one becomes older as well as younger than itself?

Yes.

And it is older (is it not?) when in becoming, it gets to the point of time between 'was' and 'will be,' which is 'now': for surely in going from the past to the future, it cannot skip the present?

No.

And when it arrives at the present it stops from becoming older, and no longer becomes, but is older, for if it went on it would never be reached by the present, for it is the nature of that which goes on, to touch both the present and the future, letting go the present and seizing the future, while in process of becoming between them.

True.

But that which is becoming cannot skip the present; when it reaches the present it ceases to become, and is then whatever it may happen to be becoming.

Clearly.

And so the one, when in becoming older it reaches the present, ceases to become, and is then older.

Certainly.

And it is older than that than which it was becoming older, and it was becoming older than itself.

Yes.

And that which is older is older than that which is younger?

True.

Then the one is younger than itself, when in becoming older it reaches the present?

Certainly.

But the present is always present with the one during all its being; for whenever it is it is always now.

Certainly.

Then the one always both is and becomes older and younger than itself?

Truly.

And is it or does it become a longer time than itself or an equal time with itself?

An equal time.

But if it becomes or is for an equal time with itself, it is of the same age with itself?

Of course.

And that which is of the same age, is neither older nor younger?

No.

The one, then, becoming and being the same time with itself, neither is nor becomes older or younger than itself?

I should say not.

And what are its relations to other things? Is it or does it become older or younger than they?

I cannot tell you.

You can at least tell me that others than the one are more than the one – other would have been one, but the others have multitude, and are more than one?

They will have multitude.

And a multitude implies a number larger than one?

Of course.

And shall we say that the lesser or the greater is the first to come or to have come into existence?

The lesser.

Then the least is the first? And that is the one?

Yes.

Then the one of all things that have number is the first to come into being; but all other things have also number, being plural and not singular.

They have.

And since it came into being first it must be supposed to have come into being prior to the others, and the others later; and the things which came into being later, are younger than that which preceded them? And so the other things will be younger than the one, and the one older than other things?

True.

What would you say of another question? Can the one have come into being contrary to its own nature, or is that impossible?

Impossible.

And yet, surely, the one was shown to have parts; and if parts, then a beginning, middle and end?

Yes.

And a beginning, both of the one itself and of all other things, comes into being first of all; and after the beginning, the others follow, until you reach the end?

Certainly.

And all these others we shall affirm to be parts of the whole and of the one, which, as soon as the end is reached, has become whole and one?

Yes; that is what we shall say.

But the end comes last, and the one is of such a nature as to come into being with the last; and, since the one cannot come into being except in accordance with its own nature, its nature will require that it should come into being after the others, simultaneously with the end.

Clearly.

Then the one is younger than the others and the others older than the one.

That also is clear in my judgment.

Well, and must not a beginning or any other part of the one or of anything, if it be a part and not parts, being a part, be also of necessity one?

Certainly.

And will not the one come into being together with each part – together with the first part when that comes into being, and together with the second part and with all the rest, and will not be wanting to any part, which is added to any other part until it has reached the last and become one whole; it will be wanting neither to the middle, nor to the first, nor to the last, nor to any of them, while the process of becoming is going on?

True.

Then the one is of the same age with all the others, so that if the one itself does not contradict its own nature, it will be neither prior nor posterior to the others, but simultaneous; and according to this argument the one will be neither older nor younger than the others, nor the others than the one, but according to the previous argument the one will be older and younger than the others and the others than the one.

Certainly.

After this manner then the one is and has become. But as to its becoming older and younger than the others, and the others than the one, and neither older nor younger, what shall we say? Shall we say as of being so also of becoming, or otherwise?

I cannot answer.

But I can venture to say, that even if one thing were older or younger than another, it could not become older or younger in a greater degree than it was at first; for equals added to unequals, whether to periods of time or to anything else, leave the difference between them the same as at first.

Of course.

Then that which is, cannot become older or younger than that which is, since the difference of age is always the same; the one is and has become older and the other younger; but they are no longer becoming so.

True.

And the one which is does not therefore become either older or younger than the others which are.

No.

But consider whether they may not become older and younger in another way.

In what way?

Just as the one was proven to be older than the others and the others than the one.

And what of that?

If the one is older than the others, has come into being a longer time than the others.

Yes.

But consider again; if we add equal time to a greater and a less time, will the greater differ from the less time by an equal or by a smaller portion than before?

By a smaller portion.

Then the difference between the age of the one and the age of the others will not be afterwards so great as at first, but if an equal time be added to both of them they will differ less and less in age?

Yes.

And that which differs in age from some other less than formerly, from being older will become younger in relation to that other than which it was older?

Yes, younger.

And if the one becomes younger the others aforesaid will become older than they were before, in relation to the one.

Certainly.

Then that which had become younger becomes older relatively to that which previously had become and was older; it never really is older, but is always becoming, for the one is always growing on the side of youth and the other on the side of age. And in like manner the older is always in process of becoming younger than the younger; for as they are always going in opposite directions they become in ways the opposite to one another, the younger older than the older, and the older younger than the younger. They cannot, however, have become; for if they had already become they would be and not merely become. But that is impossible; for they are always becoming both older and younger than one another: the one becomes younger than the others because it was seen to be older and prior, and the others become older than the one because they came into being later; and in the same way the others are in the same relation to the one, because they were seen to be older, and prior to the one.

That is clear.

Inasmuch then, one thing does not become older or younger than another, in that they always differ from each other by an equal number, the one cannot become older or younger than the others, nor the others than the one; but inasmuch as that which came into being earlier and that which came into being later must continually differ from each other by a different portion – in this point of view the others must become older and younger than the one, and the one than the others.

Certainly.

For all these reasons, then, the one is and becomes older and younger than itself and the others, and neither is nor becomes older or younger than itself or the others.

Certainly.

But since the one partakes of time, and partakes of becoming older and younger, must it not also partake of the past, the present, and the future?

Of course it must.

Then the one was and is and will be, and was becoming and is becoming and will become?

Certainly.

And there is and was and will be something which is in relation to it and belongs to it?

True.

And since we have at this moment opinion and knowledge and perception of the one, there is opinion and knowledge and perception of it?

Quite right.

Then there is name and expression for it, and it is named and expressed, and everything of this kind which appertains to other things appertains to the one.

Certainly, that is true.

Yet once more and for the third time, let us consider: If the one is both one and many, as we have described, and is neither one nor many, and participates in time, must it not, in as far as it is one, at times partake of being, and in as far as it is not one, at times not partake of being?

Certainly.

But can it partake of being when not partaking of being, or not partake of being when partaking of being?

Impossible.

Then the one partakes and does not partake of being at different times, for that is the only way in which it can partake and not partake of the same.

True.

And is there not also a time at which it assumes being and relinquishes being – for how can it have and not have the same thing unless it receives and also gives it up at some time?

Impossible.

And the assuming of being is what you would call becoming?

I should.

And the relinquishing of being you would call destruction?

I should.

The one then, as would appear, becomes and is destroyed by taking and giving up being.

Certainly.

And being one and many and in process of becoming and being destroyed, when it becomes one it ceases to be many, and when many, it ceases to be one?

Certainly.

And as it becomes one and many, must it not inevitably experience separation and aggregation?

Inevitably.

And whenever it becomes like and unlike it must be assimilated and dissimilated?

Yes.

And when it becomes greater or less or equal it must grow or diminish or be equalized?

True.

And when being in motion it rests, and when being at rest it changes to motion, it can surely be in no time at all?

How can it?

But that a thing which is previously at rest should be afterwards in motion, or previously in motion and afterwards at rest, without experiencing change, is impossible.

Impossible.

And surely there cannot be a time in which a thing can be at once neither in motion nor at rest?

There cannot.

But neither can it change without changing.

True.

When then does it change; for it cannot change either when at rest, or when in motion, or when in time?

It cannot.

And does this strange thing in which it is at the time of changing really exist?

What thing?

The moment. For the moment seems to imply a something out of which change takes place into either of two states; for the change is not from the state of rest as such, nor from the state of motion as such; but there is this curious nature which we call the moment lying between rest and motion, not being in any time; and into this and out of this what is in motion changes into rest, and what is at rest into motion.

So it appears.

And the one then, since it is at rest and also in motion, will change to either, for only in this way can it be in both. And in changing it changes in a moment, and when it is changing it will be in no time, and will not then be either in motion or at rest.

It will not.

And it will be in the same case in relation to the other changes, when it passes from being into cessation of being, or from not-being into becoming – then it passes between certain states of motion and rest, and neither is nor is not, nor becomes nor is destroyed.

Very true.

And on the same principle, in the passage from one to many and from many to one, the one is neither one nor many, neither separated nor aggregated; and in the passage from like to unlike, and from unlike to like, it is neither like nor unlike, neither in a state of assimilation nor of dissimilation; and in the passage from small to great and equal and back again, it will be neither small nor great, nor equal, nor in a state of increase, or diminution, or equalization.

True.

All these, then, are the affections of the one, if the one has being.

Of course.

1. aa. But if one is, what will happen to the others – is not that also to be considered?

Yes.

Let us show then, if one is, what will be the affections of the others than the one.

Let us do so.

Inasmuch as there are things other than the one, the others are not the one; for if they were they could not be other than the one.

Very true.

Nor are the others altogether without the one, but in a certain way they participate in the one.

In what way?

Because the others are other than the one inasmuch as they have parts; for if they had no parts they would be simply one.

Right.

And parts, as we affirm, have relation to a whole?

So we say.

And a whole must necessarily be one made up of many; and the parts will be parts of the one, for each of the parts is not a part of many, but of a whole.

How do you mean?

If anything were a part of many, being itself one of them, it will surely be a part of itself, which is impossible, and it will be a part of each one of the other parts, if of all; for if not a part of some one, it will be a part of all the others but this one, and thus will not be a part of each one; and if not a part of each, one it will not be a part of any one of the many; and not being a part of any one, it cannot be a part or anything else of all those things of none of which it is anything.

Clearly not.

Then the part is not a part of the many, nor of all, but is of a certain single form, which we call a whole, being one perfect unity framed out of all – of this the part will be a part.

Certainly.

If, then, the others have parts, they will participate in the whole and in the one.

True.

Then the others than the one must be one perfect whole, having parts.

Certainly.

And the same argument holds of each part, for the part must participate in the one; for if each of the parts is a part, this means, I suppose, that it is one separate from the rest and self-related; otherwise it is not each.

True.

But when we speak of the part participating in the one, it must clearly be other than one; for if not, it would not merely have participated, but would have been one; whereas only the itself can be one.

Very true.

Both the whole and the part must participate in the one; for the whole will be one whole, of which the parts will be parts; and each part will be one part of the whole which is the whole of the part.

True.

And will not the things which participate in the one, be other than it?

Of course.

And the things which are other than the one will be many; for if the things which are other than the one were neither one nor more than one, they would be nothing.

True.

But, seeing that the things which participate in the one as a part, and in the one as a whole, are more than one, must not those very things which participate in the one be infinite in number?

How so?

Let us look at the matter thus: – Is it not a fact that in partaking of the one they are not one, and do not partake of the one at the very time when they are partaking of it?