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Chapter VI

Of Universal Propositions: their Truth and Certainty

1. Treating of words necessary to knowledge. Though the examining and judging of ideas by

themselves, their names being quite laid aside, be the best and surest way to clear and distinct

knowledge: yet, through the prevailing custom of using sounds for ideas, I think it is very seldom

practised. Every one may observe how common it is for names to be made use of, instead of the

ideas themselves, even when men think and reason within their own breasts; especially if the ideas

be very complex, and made up of a great collection of simple ones. This makes the consideration of

words and propositions so necessary a part of the Treatise of Knowledge, that it is very hard to

speak intelligibly of the one, without explaining the other.

2. General truths hardly to be understood, but in verbal propositions. All the knowledge we have,

being only of particular or general truths, it is evident that whatever may be done in the former of

these, the latter, which is that which with reason is most sought after, can never be well made

known, and is very seldom apprehended, but as conceived and expressed in words. It is not,

therefore, out of our way, in the examination of our knowledge, to inquire into the truth and certainty

of universal propositions.

3. Certainty twofold--of truth and of knowledge. But that we may not be misled in this case by that

which is the danger everywhere, I mean by the doubtfulness of terms, it is fit to observe that

certainty is twofold: certainty of truth and certainty of knowledge. Certainty of truth is, when words

are so put together in propositions as exactly to express the agreement or disagreement of the

ideas they stand for, as really it is. Certainty of knowledge is to perceive the agreement or

disagreement of ideas, as expressed in any proposition. This we usually call knowing, or being

certain of the truth of any proposition.

4. No proposition can be certainly known to be true, where the real essence of each species

mentioned is not known. Now, because we cannot be certain of the truth of any general proposition,

unless we know the precise bounds and extent of the species its terms stand for, it is necessary we

should know the essence of each species, which is that which constitutes and bounds it.

This, in all simple ideas and modes, is not hard to do. For in these the real and nominal essence

being the same, or, which is all one, the abstract idea which the general term stands for being the

sole essence and boundary that is or can be supposed of the species, there can be no doubt how

far the species extends, or what things are comprehended under each term; which, it is evident, are

all that have an exact conformity with the idea it stands for, and no other.

But in substances, wherein a real essence, distinct from the nominal, is supposed to constitute,

determine, and bound the species, the extent of the general word is very uncertain; because, not

knowing this real essence, we cannot know what is, or what is not of that species; and,

consequently, what may or may not with certainty be affirmed of it. And thus, speaking of a man, or

gold, or any other species of natural substances, as supposed constituted by a precise and real

essence which nature regularly imparts to every individual of that kind, whereby it is made to be of

that species, we cannot be certain of the truth of any affirmation or negation made of it. For man or

gold, taken in this sense, and used for species of things constituted by real essences, different from

the complex idea in the mind of the speaker, stand for we know not what; and the extent of these

species, with such boundaries, are so unknown and undetermined, that it is impossible with any

certainty to affirm, that all men are rational, or that all gold is yellow. But where the nominal essence

is kept to, as the boundary of each species, and men extend the application of any general term no

further than to the particular things in which the complex idea it stands for is to be found, there they

are in no danger to mistake the bounds of each species, nor can be in doubt, on this account,

whether any proposition be true or not. I have chosen to explain this uncertainty of propositions in

this scholastic way, and have made use of the terms of essences, and species, on purpose to show

the absurdity and inconvenience there is to think of them as of any other sort of realities, than barely

abstract ideas with names to them. To suppose that the species of things are anything but the

sorting of them under general names, according as they agree to several abstract ideas of which we

make those names the signs, is to confound truth, and introduce uncertainty into all general

propositions that can be made about them. Though therefore these things might, to people not

possessed with scholastic learning, be treated of in a better and clearer way; yet those wrong

notions of essences or species having got root in most people's minds who have received any

tincture from the learning which has prevailed in this part of the world, are to be discovered and

removed, to make way for that use of words which should convey certainty with it.

5. This more particularly concerns substances. The names of substances, then, whenever made to

stand for species which are supposed to be constituted by real essences which we know not, are

not capable to convey certainty to the understanding. Of the truth of general propositions made up

of such terms we cannot be sure. The reason whereof is plain: for how can we be sure that this or

that quality is in gold, when we know not what is or is not gold? Since in this way of speaking,

nothing is gold but what partakes of an essence, which we, not knowing, cannot know where it is or

is not, and so cannot be sure that any parcel of matter in the world is or is not in this sense gold;

being incurably ignorant whether it has or has not that which makes anything to be called gold; i.e.,

that real essence of gold whereof we have no idea at all. This being as impossible for us to know as

it is for a blind man to tell in what flower the colour of a pansy is or is not to be found, whilst he has

no idea of the colour of a pansy at an. Or if we could (which is impossible) certainly know where a

real essence, which we know not, is, v.g. in what parcels of matter the real essence of gold is, yet

could we not be sure that this or that quality could with truth be affirmed of gold; since it is

impossible for us to know that this or that quality or idea has a necessary connexion with a real

essence of which we have no idea at all, whatever species that supposed real essence may be

imagined to constitute.

6. The truth of few universal propositions concerning substances is to be known. On the other side,

the names of substances, when made use of as they should be, for the ideas men have in their

minds, though they carry a clear and determinate signification with them, will not yet serve us to

make many universal propositions of whose truth we can be certain. Not because in this use of

them we are uncertain what things are signified by them, but because the complex ideas they stand

for are such combinations of simple ones as carry not with them any discoverable connexion or

repugnancy, but with a very few other ideas.

7. Because necessary co-existence of simple ideas in substances can in few cases be known. The

complex ideas that our names of the species of substances properly stand for, are collections of

such qualities as have been observed to co-exist in an unknown substratum, which we call

substance; but what other qualities necessarily co-exist with such combinations, we cannot certainly

know, unless we can discover their natural dependence; which, in their primary qualities, we can go

but a very little way in; and in all their secondary qualities we can discover no connexion at all: for

the reasons mentioned, chap. iii. Viz., 1. Because we know not the real constitutions of substances,

on which each secondary quality particularly depends. 2. Did we know that, it would serve us only

for experimental (not universal) knowledge; and reach with certainty no further than that bare

instance: because our understandings can discover no conceivable connexion between any

secondary quality and any modification whatsoever of any of the primary ones. And therefore there

are very few general propositions to be made concerning substances, which can carry with them

undoubted certainty.

8. Instance in gold. "All gold is fixed," is a proposition whose truth we cannot be certain of, how

universally soever it be believed. For if, according to the useless imagination of the Schools, any

one supposes the term gold to stand for a species of things set out by nature, by a real essence

belonging to it, it is evident he knows not what particular substances are of that species; and so

cannot with certainty affirm anything universally of gold. But if he makes gold stand for a species

determined by its nominal essence, let the nominal essence, for example, be the complex idea of a

body of a certain yellow colour, malleable, fusible, and heavier than any other known;--in this proper

use of the word gold, there is no difficulty to know what is or is not gold. But yet no other quality can

with certainty be universally affirmed or denied of gold, but what hath a discoverable connexion or

inconsistency with that nominal essence. Fixedness, for example, having no necessary connexion

that we can discover, with the colour, weight, or any other simple idea of our complex one, or with

the whole combination together; it is impossible that we should certainly know the truth of this

proposition, that all gold is fixed.

9. No discoverable necessary connexion between nominal essence of gold and other simple ideas.

As there is no discoverable connexion between fixedness and the colour, weight, and other simple

ideas of that nominal essence of gold; so, if we make our complex idea of gold, a body yellow,

fusible, ductile, weighty, and fixed, we shall be at the same uncertainty concerning solubility in aqua

regia, and for the same reason. Since we can never, from consideration of the ideas themselves,

with certainty affirm or deny of a body whose complex idea is made up of yellow, very weighty,

ductile, fusible, and fixed, that it is soluble in aqua regia: and so on of the rest of its qualities. I would

gladly meet with one general affirmation concerning any quality of gold, that any one can certainly

know is true. It will, no doubt, be presently objected, Is not this an universal proposition, Al gold is

malleable? To which I answer, It is a very certain proposition, if malleableness be a part of the

complex idea the word gold stands for. But then here is nothing affirmed of gold, but that that sound

stands for an idea in which malleableness is contained: and such a sort of truth and certainty as this

it is, to say a centaur is four-footed. But if malleableness make not a part of the specific essence the

name of gold stands for, it is plain, all gold is malleable, is not a certain proposition. Because, let the

complex idea of gold be made up of whichsoever of its other qualities you please, malleableness

will not appear to depend on that complex idea, nor follow from any simple one contained in it: the

connexion that malleableness has (if it has any) with those other qualities being only by the

intervention of the real constitution of its insensible parts; which, since we know not, it is impossible

we should perceive that connexion, unless we could discover that which ties them together.

10. As far as any such co-existence can be known, so far universal propositions may be certain. But

this will go but a little way. The more, indeed, of these coexisting qualities we unite into one complex

idea, under one name, the more precise and determinate we make the signification of that word; but

never yet make it thereby more capable of universal certainty, in respect of other qualities not

contained in our complex idea: since we perceive not their connexion or dependence on one

another; being ignorant both of that real constitution in which they are all founded, and also how

they flow from it. For the chief part of our knowledge concerning substances is not, as in other

things, barely of the relation of two ideas that may exist separately; but is of the necessary

connexion and co-existence of several distinct ideas in the same subject, or of their repugnancy so

to co-exist. Could we begin at the other end, and discover what it was wherein that colour consisted,

what made a body lighter or heavier, what texture of parts made it malleable, fusible, and fixed, and

fit to be dissolved in this sort of liquor, and not in another;--if, I say, we had such an idea as this of

bodies, and could perceive wherein all sensible qualities originally consist, and how they are

produced; we might frame such abstract ideas of them as would furnish us with matter of more

general knowledge, and enable us to make universal propositions, that should carry general truth

and certainty with them. But whilst our complex ideas of the sorts of substances are so remote from

that internal real constitution on which their sensible qualities depend, and are made up of nothing

but an imperfect collection of those apparent qualities our senses can discover, there can be few

general propositions concerning substances of whose real truth we can be certainly assured; since

there are but few simple ideas of whose connexion and necessary coexistence we can have certain

and undoubted knowledge. I imagine, amongst all the secondary qualities of substances, and the

powers relating to them, there cannot any two be named, whose necessary co-existence, or

repugnance to coexist, can certainly be known; unless in those of the same sense, which

necessarily exclude one another, as I have elsewhere shown. No one, I think, by the colour that is in

any body, can certainly know what smell, taste, sound, or tangible qualities it has, nor what

alterations it is capable to make or receive on or from other bodies. The same may be said of the

sound or taste, etc. Our specific names of substances standing for any collections of such ideas, it

is not to be wondered that we can with them make very few general propositions of undoubted real

certainty. But yet so far as any complex idea of any sort of substances contains in it any simple idea,

whose necessary existence with any other may be discovered, so far universal propositions may

with certainty be made concerning it: v.g. could any one discover a necessary connexion between

malleableness and the colour or weight of gold, or any other part of the complex idea signified by

that name, he might make a certain universal proposition concerning gold in this respect; and the

real truth of this proposition, that all gold is malleable, would be as certain as of this, the three

angles of all right-lined triangles are all equal to two right ones.

11. The qualities which make our complex ideas of substances depend mostly on external, remote,

and unperceived causes. Had we such ideas of substances as to know what real constitutions

produce those sensible qualities we find in them, and how those qualities flowed from thence, we

could, by the specific ideas of their real essences in our own minds, more certainly find out their

properties, and discover what qualities they had or had not, than we can now by our senses: and to

know the properties of gold, it would be no more necessary that gold should exist, and that we

should make experiments upon it, than it is necessary for the knowing the properties of a triangle,

that a triangle should exist in any matter, the idea in our minds would serve for the one as well as

the other. But we are so far from being admitted into the secrets of nature, that we scarce so much

as ever approach the first entrance towards them. For we are wont to consider the substances we

meet with, each of them, as an entire thing by itself, having all its qualities in itself, and independent

of other things; overlooking, for the most part, the operations of those invisible fluids they are

encompassed with, and upon whose motions and operations depend the greatest part of those

qualities which are taken notice of in them, and are made by us the inherent marks of distinction

whereby we know and denominate them. Put a piece of gold anywhere by itself, separate from the

reach and influence of all other bodies, it will immediately lose all its colour and weight, and perhaps

malleableness too; which, for aught I know, would be changed into a perfect friability. Water, in

which to us fluidity is an essential quality, left to itself, would cease to be fluid. But if inanimate

bodies owe so much of their present state to other bodies without them, that they would not be what

they appear to us were those bodies that environ them removed; it is yet more so in vegetables,

which are nourished, grow, and produce leaves, flowers, and seeds, in a constant succession. And

if we look a little nearer into the state of animals, we shall find that their dependence, as to life,

motion, and the most considerable qualities to be observed in them, is so wholly on extrinsical

causes and qualities of other bodies that make no part of them, that they cannot subsist a moment

without them: though yet those bodies on which they depend are little taken notice of, and make no

part of the complex ideas we frame of those animals. Take the air but for a minute from the greatest

part of living creatures, and they presently lose sense, life, and motion. This the necessity of

breathing has forced into our knowledge. But how many other extrinsical and possibly very remote

bodies do the springs of these admirable machines depend on, which are not vulgarly observed, or

so much as thought on; and how many are there which the severest inquiry can never discover?

The inhabitants of this spot of the universe, though removed so many millions of miles from the sun,

yet depend so much on the duly tempered motion of particles coming from or agitated by it, that

were this earth removed but a small part of the distance out of its present situation, and placed a

little further or nearer that source of heat, it is more than probable that the greatest part of the

animals in it would immediately perish: since we find them so often destroyed by an excess or

defect of the sun's warmth, which an accidental position in some parts of this our little globe

exposes them to. The qualities observed in a loadstone must needs have their source far beyond

the confines of that body; and the ravage made often on several sorts of animals by invisible

causes, the certain death (as we are told) of some of them, by barely passing the line, or, as it is

certain of other, by being removed into a neighbouring country; evidently show that the concurrence

and operations of several bodies, with which they are seldom thought to have anything to do, is

absolutely necessary to make them be what they appear to us, and to preserve those qualities by

which we know and distinguish them. We are then quite out of the way, when we think that things

contain within themselves the qualities that appear to us in them; and we in vain search for that

constitution within the body of a fly or an elephant, upon which depend those qualities and powers

we observe in them. For which, perhaps, to understand them aright, we ought to look not only

beyond this our earth and atmosphere, but even beyond the sun or remotest star our eyes have yet

discovered. For how much the being and operation of particular substances in this our globe

depends on causes utterly beyond our view, is impossible for us to determine. We see and perceive

some of the motions and grosser operations of things here about us; but whence the streams come

that keep all these curious machines in motion and repair, how conveyed and modified, is beyond

our notice and apprehension: and the great parts and wheels, as I may say so, of this stupendous

structure of the universe, may, for aught we know, have such a connexion and dependence in their

influences and operations one upon another, that perhaps things in this our mansion would put on

quite another face, and cease to be what they are, if some one of the stars or great bodies

incomprehensibly remote from us, should cease to be or move as it does. This is certain: things,

however absolute and entire they seem in themselves, are but retainers to other parts of nature, for

that which they are most taken notice of by us. Their observable qualities, actions, and powers are

owing to something without them; and there is not so complete and perfect a part that we know of

nature, which does not owe the being it has, and the excellences of it, to its neighbours; and we

must not confine our thoughts within the surface of any body, but look a great deal further, to

comprehend perfectly those qualities that are in it.

12. Our nominal essences of substances furnish few universal propositions about them that are

certain. If this be so, it is not to be wondered that we have very imperfect ideas of substances, and

that the real essences, on which depend their properties and operations, are unknown to us. We

cannot discover so much as that size, figure, and texture of their minute and active parts, which is

really in them; much less the different motions and impulses made in and upon them by bodies from

without, upon which depends, and by which is formed the greatest and most remarkable part of

those qualities we observe in them, and of which our complex ideas of them are made up. This

consideration alone is enough to put an end to all our hopes of ever having the ideas of their real

essences; which whilst we want, the nominal essences we make use of instead of them will be able

to furnish us but very sparingly with any general knowledge, or universal propositions capable of

real certainty.

13. Judgment of probability concerning substances may reach further: but that is not knowledge. We

are not therefore to wonder, if certainty be to be found in very few general propositions made

concerning substances: our knowledge of their qualities and properties goes very seldom further

than our senses reach and inform us. Possibly inquisitive and observing men may, by strength of

judgment, penetrate further, and, on probabilities taken from wary observation, and hints well laid

together, often guess right at what experience has not yet discovered to them. But this is but

guessing still; it amounts only to opinion, and has not that certainty which is requisite to knowledge.

For all general knowledge lies only in our own thoughts, and consists barely in the contemplation of

our own abstract ideas. Wherever we perceive any agreement or disagreement amongst them,

there we have general knowledge; and by putting the names of those ideas together accordingly in

propositions, can with certainty pronounce general truths. But because the abstract ideas of

substances, for which their specific names stand, whenever they have any distinct and determinate

signification, have a discoverable connexion or inconsistency with but a very few other ideas, the

certainty of universal propositions concerning substances is very narrow and scanty, in that part

which is our principal inquiry concerning them; and there are scarce any of the names of

substances, let the idea it is applied to be what it will, of which we can generally, and with certainty,

pronounce, that it has or has not this or that other quality belonging to it, and constantly co-existing

or inconsistent with that idea, wherever it is to be found.

14. What is requisite for our knowledge of substances. Before we can have any tolerable knowledge

of this kind, we must First know what changes the primary qualities of one body do regularly

produce in the primary qualities of another, and how. Secondly, We must know what primary

qualities of any body produce certain sensations or ideas in us. This is in truth no less than to know

all the effects of matter, under its divers modifications of bulk, figure, cohesion of parts, motion and

rest. Which, I think every body will allow, is utterly impossible to be known by us without revelation.

Nor if it were revealed to us what sort of figure, bulk, and motion of corpuscles would produce in us

the sensation of a yellow colour, and what sort of figure, bulk, and texture of parts in the superficies

of any body were fit to give such corpuscles their due motion to produce that colour; would that be

enough to make universal propositions with certainty, concerning the several sorts of them; unless

we had faculties acute enough to perceive the precise bulk, figure, texture, and motion of bodies, in

those minute parts, by which they operate on our senses, so that we might by those frame our

abstract ideas of them. I have mentioned here only corporeal substances, whose operations seem

to lie more level to our understandings. For as to the operations of spirits, both their thinking and

moving of bodies, we at first sight find ourselves at a loss; though perhaps, when we have applied

our thoughts a little nearer to the con