Commonplace

Can there be an infinite idea?

Yes, in one sense. The visual sphere, tho’ ever so small, is infinite, i.e. has no end.

But if by infinite you mean an extension consisting of innumerable points, then I ask yr pardon. Points, tho’ never so many, may be numbered. The multitude of points, or feet, inches, &c., hinders not their numbrableness (i.e. hinders not their being numerable) in the least.

Many or most are numerable, as well as few or least. Also, if by infinite idea you mean an idea too great to be comprehended or perceiv’d all at once, you must excuse me. I think such an infinite is no less than a contradiction70.

M. The sillyness of the current doctrine makes much for me. They commonly suppose a material world—figures, motions, bulks of various sizes, &c.—according to their own confession to no purpose. All our sensations may be, and sometimes actually are, without them; nor can men so much as conceive it possible they should concur in any wise to the production of them.

M. Ask a man, I mean a philosopher, why he supposes this vast structure, this compages of bodies? he shall be at a stand; he’ll not have one word to say. Wch sufficiently shews the folly of the hypothesis.

M. Or rather why he supposes all ys Matter? For bodies and their qualities I do allow to exist independently of our mind.

S.Qu. How is the soul distinguish’d from its ideas? Certainly if there were no sensible ideas there could be no soul, no perception, remembrance, love, fear, &c.; no faculty could be exerted71.

S. The soul is the Will, properly speaking, and as it is distinct from ideas.

S. The grand puzzling question, whether I sleep or wake, easily solv’d.

Qu. Whether minima or meer minima may not be compar’d by their sooner or later evanescence, as well as by more or less points, so that one sensible may be greater than another, though it exceeds it not by one point?

Circles on several radius’s are not similar figures, they having neither all nor any an infinite number of sides. Hence in vain to enquire after 2 terms of one and ye same proportion that should constantly express the reason of the d to the p in all circles.

Mem. To remark Wallis’s harangue, that the aforesaid proportion can neither be expressed by rational numbers nor surds.

[pg 017] We can no more have an idea of length without breadth or visibility, than of a general figure.

One idea may be like another idea, tho’ they contain no common simple idea72. Thus the simple idea red is in some sense like the simple idea blue; ’tis liker it than sweet or shrill. But then those ideas wch are so said to be alike, agree both in their connexion with another simple idea, viz. extension, & in their being receiv’d by one & the same sense. But, after all, nothing can be like an idea but an idea.

No sharing betwixt God & Nature or second causes in my doctrine.

M. Materialists must allow the earth to be actually mov’d by the attractive power of every stone that falls from the air, with many other the like absurditys.

Enquire concerning the pendulum clock, &c.; whether those inventions of Huygens, &c. be attained to by my doctrine.

The … & … & … &c. of time are to be cast away and neglected, as so many noughts or nothings.

Mem. To make experiments concerning minimums and their colours, whether they have any or no, & whether they can be of that green wch seems to be compounded of yellow and blue.

S. Qu. Whether it were not better not to call the operations of the mind ideas—confining this term to things sensible73?

E. Mem. diligently to set forth how that many of the ancient philosophers run into so great absurditys as even to deny the existence of motion, and of those other things they perceiv’d actually by their senses. This sprung from their not knowing wt Existence was, and wherein it consisted. This the source of all their folly. ‘Tis on the discovering of the nature and meaning and import of Existence that I chiefly insist. This puts a wide difference betwixt the [pg 018]sceptics &c. & me. This I think wholly new. I am sure this is new to me74.

We have learn’d from Mr. Locke that there may be, and that there are, several glib, coherent, methodical discourses, which nevertheless amount to just nothing. This by him intended with relation to the Scholemen. We may apply it to the Mathematicians.

Qu. How can all words be said to stand for ideas? The word blue stands for a colour without any extension, or abstract from extension. But we have not an idea of colour without extension. We cannot imagine colour without extension.

Locke seems wrongly to assign a double use of words: one for communicating & the other for recording our thoughts. ‘Tis absurd to use words for recording our thoughts to ourselves, or in our private meditations75.

No one abstract simple idea like another. Two simple ideas may be connected with one & the same 3d simple idea, or be intromitted by one & the same sense. But consider’d in themselves they can have nothing common, and consequently no likeness.

Qu. How can there be any abstract ideas of colours? It seems not so easily as of tastes or sounds. But then all ideas whatsoever are particular. I can by no means conceive an abstract general idea. ‘Tis one thing to abstract one concrete idea from another of a different kind, & another thing to abstract an idea from all particulars of the same kind76.

N. Mem. Much to recommend and approve of experimental philosophy.

S. What means Cause as distinguish’d from Occasion? Nothing but a being wch wills, when the effect follows the volition. Those things that happen from without we are not the cause of. Therefore there is some other Cause of them, i.e. there is a Being that wills these perceptions in us77.

[pg 019] S. [78It should be said, nothing but a Will—a Being which wills being unintelligible.]

One square cannot be double of another. Hence the Pythagoric theorem is false.

Some writers of catoptrics absurd enough to place the apparent place of the object in the Barrovian case behind the eye.

Blew and yellow chequers still diminishing terminate in green. This may help to prove the composition of green.

There is in green 2 foundations of 2 relations of likeness to blew & yellow. Therefore green is compounded.

A mixt cause will produce a mixt effect. Therefore colours are all compounded that we see.

Mem. To consider Newton’s two sorts of green.

N. B. My abstract & general doctrines ought not to be condemn’d by the Royall Society. ‘Tis wt their meeting did ultimately intend. V. Sprat’s History S. R.79

Mem. To premise a definition of idea80.

I. Mo. The 2 great principles of Morality—the being of a God & the freedom of man. Those to be handled in the beginning of the Second Book81.

Subvertitur geometria ut non practica sed speculativa.

Archimedes’s proposition about squaring the circle has nothing to do with circumferences containing less than 96 points; & if the circumference contain 96 points it may be apply’d, but nothing will follow against indivisibles. V. Barrow.

Those curve lines that you can rectify geometrically. Compare them with their equal right lines & by a microscope you shall discover an inequality. Hence my squaring of the circle as good and exact as the best.

M. Qu. whether the substance of body or anything else be [pg 020]any more than the collection of concrete ideas included in that thing? Thus the substance of any particular body is extension, solidity, figure82. Of general abstract body we can have no idea.

I. Mem. Most carefully to inculcate and set forth that the endeavouring to express abstract philosophic thoughts by words unavoidably runs a man into difficulties. This to be done in the Introduction83.

Mem. To endeavour most accurately to understand what is meant by this axiom: Quæ sibi mutuo congruunt æqualia sunt.

Qu. what the geometers mean by equality of lines, & whether, according to their definition of equality, a curve line can possibly be equal to a right line?

If wth me you call those lines equal wch contain an equal number of points, then there will be no difficulty. That curve is equal to a right line wch contains the same points as the right one doth.

M. I take not away substances. I ought not to be accused of discarding substance out of the reasonable world84. I onely reject the philosophic sense (wch in effect is no sense) of the word substance. Ask a man not tainted with their jargon wt he means by corporeal substance, or the substance of body. He shall answer, bulk, solidity, and such like sensible qualitys. These I retain. The philosophic nec quid, nec quantum, nec quale, whereof I have no idea, I discard; if a man may be said to discard that which never had any being, was never so much as imagin’d or conceiv’d.

M. In short, be not angry. You lose nothing, whether real or chimerical. Wtever you can in any wise conceive or imagine, be it never so wild, so extravagant, & absurd, much good may it do you. You may enjoy it for me. I’ll never deprive you of it.

N. B. I am more for reality than any other philosophers85. They make a thousand doubts, & know not certainly but we may be deceiv’d. I assert the direct contrary.

A line in the sense of mathematicians is not meer distance. This evident in that there are curve lines.

Curves perfectly incomprehensible, inexplicable, absurd, except we allow points.

I. If men look for a thing where it’s not to be found, be they never so sagacious, it is lost labour. If a simple clumsy man knows where the game lies, he though a fool shall catch it sooner than the most fleet & dexterous that seek it elsewhere. Men choose to hunt for truth and knowledge anywhere rather than in their own understanding, where ’tis to be found.