Isaac Newton Quotes

He who thinks half-heartedly will not believe in God; but he who really thinks has to believe in God.

A man may imagine things that are false, but he can only understand things that are true.

Hypotheses non fingo.

Gravity explains the motions of the planets, but it cannot explain who sets the planets in motion.

In a small book printed at Paris A.C. 1689, entitled, An historical dissertation upon some coins of Charles the great, Ludovicus Pius, Lotharius, and their successors stamped at Rome, it is recorded, that in the days of Pope Leo X, there was remaining in the Vatican, and till those days exposed to public view, an inscription in honour of Pipin the father of Charles the great, in these words... "That Pipin the pious was the first who opened a way to the grandeur of the Church of Rome, conferring upon her the Exarchate of Ravenna and many other oblations." ...the Pope [Stephen II] sent letters to Pipin, wherein he told him that if he came not speedily against the Lombards, pro data sibi potentia, alienandum fore à regno Dei & vita æterna, he should be excommunicated. Pipin therefore, fearing a revolt of his subjects, and being indebted to the Church of Rome, came speedily with an army into Italy, raised the siege, besieged the Lombards in Pavia, and forced them to surrender the Exarchate and region of Pentapolis to the Pope for a perpetual possession. Thus the Pope became Lord of Ravenna, and the Exarchate, some few cities excepted; and the keys were sent to Rome, and laid upon the confession of St. Peter, that is, upon his tomb at the high Altar, in signum veri perpetuique dominii, sed pietate Regis gratuita, as the inscription of a coin of Pipin hath it. This was in the year of Christ 755. And henceforward the Popes being temporal Princes, left off in their Epistles and Bulls to note the years of the Greek Emperors, as they had hitherto done.

When a man is taken in a mystical sense, his qualities are often signified by his actions, and by the circumstances of things about him. So a Ruler is signified by his riding on a beast; a Warrior and Conqueror, by his having a sword and bow; a potent man, by his gigantic stature; a Judge, by weights and measures... the affliction or persecution which a people suffers in laboring to bring forth a new kingdom, by the pain of a woman in labor to bring forth a man-child; the dissolution of a body politic or ecclesiastic, by the death of a man or beast; and the revival of a dissolved dominion, by the resurrection of the dead.

The Vision of the Image composed of four Metals was given first to Nebuchadnezzar, and then to Daniel in a dream: and Daniel began then to be celebrated for revealing of secrets, Ezek. xxviii. 3. The Vision of the four Beasts, and of the Son of man coming in the clouds of heaven, was also given to Daniel in a dream. That of the Ram and the He-Goat appeared to him in the day time, when he was by the bank of the river Ulay; and was explained to him by the prophetic Angel Gabriel. It concerns the Prince of the host, and the Prince of Princes: and now in the first year of Darius the Mede over Babylon, the same prophetic Angel appears to Daniel again, and explains to him what is meant by the Son of man, by the Prince of the host, and the Prince of Princes. The Prophecy of the Son of man coming in the clouds of heaven relates to the second coming of Christ; that of the Prince of the host relates to his first coming: and this Prophecy of the Messiah, in explaining them, relates to both comings, and assigns the times thereof.

In my Judgment no Lines ought to be admitted into plain Geometry besides the right Line and the Circle.

Gregory Nyssen tells us, that after the persecution of the Emperor Decius, Gregory Bishop of Neocæsarea in Pontus, instituted among all people, as an addition or corollary of devotion towards God, that festival days and assemblies should be celebrated to them who had contended for the faith, that is, to the Martyrs. And he adds this reason for the institution: When he observed, saith Nyssen, that the simple and unskilful multitude, by reason of corporeal delights, remained in the error of idols; that the principal thing might be corrected among them, namely, that instead of their vain worship they might turn their eyes upon God; he permitted that at the memories of the holy Martyrs they might make merry and delight themselves, and be dissolved into joy. The heathens were delighted with the festivals of their Gods, and unwilling to part with those delights; and therefore Gregory, to facilitate their conversion, instituted annual festivals to the Saints and Martyrs. Hence it came to pass, that for exploding the festivals of the heathens, the principal festivals of the Christians succeeded in their room: as the keeping of Christmas with ivy and feasting, and playing and sports, in the room of the Bacchanalia and Saturnalia; the celebrating of May-day with flowers, in the room of the Floralia; and the keeping of festivals to the Virgin Mary, John the Baptist, and divers of the Apostles, in the room of the solemnities at the entrance of the Sun into the signs of the Zodiac in the old Julian Calendar. In the same persecution of Decius, Cyprian ordered the passions of the Martyrs in Africa to be registered, in order to celebrate their memories annually with oblations and sacrifices: and Felix Bishop of Rome, a little after, as Platina relates... "consulting the glory of the Martyrs, ordained that sacrifices should be celebrated annually in their name." By the pleasures of these festivals the Christians increased much in number, and decreased as much in virtue, until they were purged and made white by the persecution of Dioclesian. This was the first step made in the Christian religion towards the veneration of the Martyrs: and tho it did not yet amount to an unlawful worship; yet it disposed the Christians towards such a further veneration of the dead, as in a short time ended in the invocation of Saints.

When the Sea or Waters are put to signify a people or aggregate of nations, then by Islands are meant Cities or Temples by Islands the Courts of Temples for the building of Temples or Altars. By merchant Shipps Buildings, for commerce & profit such as are (trading towns to Nations,) Shops to Trades-men & Temples to Priests. – to Priests. By a navy of war-ships an Army. By rivers ( trains | Armies of men running to & fro such as are Armies [or the afflux of fforreigners]. By overflowing ffloods = Invasions. By the drying up of waters the decay of military strength. 25 By Reeds & Flaggs men By fountains of water cities & towns & by ffishes armies, or people . [Sometimes waters signify riches & then the Sea & Rivers must be interpreted accordingly.]

As all regions below are replenished with living creatures... so may the heavens above be replenished with beings whose nature we do not understand. He that shall well consider the strange and wonderful nature of life and the frame of the Animals, will think nothing beyond the possibility of nature, nothing too hard for the omnipotent power of God. And as the Planets remain in their orbs, so may any other bodies subsist at any distance from the earth, and much more may beings, who have sufficient power of self motion, move whether they will, and continue in any regions of the heavens whatever, there to enjoy the society of one another, and by their messengers or Angels to rule the earth and convers with the remotest regions. Thus may the whole heavens or any part thereof whatever be the habitation of the Blessed, and at the same time the earth be subject to their dominion. And to have thus the liberty and dominion of the whole heavens and the choice of the happiest places for abode seems a greater happiness than to be confined to any one place whatever.

Bullialdus wrote that all force respecting the Sun as its center & depending on matter must be reciprocally in a duplicate ratio of the distance from the center.

Qu. 18. Is not the Heat of the warm Room convey'd through the Vacuum by the Vibrations of a much subtiler Medium than Air, which after the Air was drawn out remained in the Vacuum? And is not this Medium the same with that Medium by which Light is refracted and reflected and by whose Vibrations Light communicates Heat to Bodies, and is put into Fits of easy Reflexion and easy Transmission? ...And do not hot Bodies communicate their Heat to contiguous cold ones, by the Vibrations of this Medium propagated from them into the cold ones? And is not this Medium exceedingly more rare and subtile than the Air, and exceedingly more elastick and active? And doth it not readily pervade all Bodies? And is it not (by its elastick force) expanded through all the Heavens?

[T]o make way for the regular and lasting Motions of the Planets and Comets, it's necessary to empty the Heavens of all Matter, except perhaps some very thin Vapours, Steams or Effluvia, arising from the Atmospheres of the Earth, Planets and Comets, and from such an exceedingly rare Æthereal Medium ... A dense Fluid can be of no use for explaining the Phænomena of Nature, the Motions of the Planets and Comets being better explain'd without it. It serves only to disturb and retard the Motions of those great Bodies, and make the frame of Nature languish: And in the Pores of Bodies, it serves only to stop the vibrating Motions of their Parts, wherein their Heat and Activity consists. And as it is of no use, and hinders the Operations of Nature, and makes her languish, so there is no evidence for its Existence, and therefore it ought to be rejected. And if it be rejected, the Hypotheses that Light consists in Pression or Motion propagated through such a Medium, are rejected with it.

In the beginning of the year 1665 I found the method of approximating Series and the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of Fluxions, and the next year in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. And the same year I began to think of gravity extending to the orb of the Moon, and having found out how to estimate the force with which [a] globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced that the forces which keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about which they revolve: and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the earth, and found them answer pretty nearly. All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention, and minded Mathematicks and Philosophy more than at any time since. What Mr Hugens has published since about centrifugal forces I suppose he had before me. At length in the winter between the years 1676 and 1677 I found the Proposition that by a centrifugal force reciprocally as the square of the distance a Planet must revolve in an Ellipsis about the center of the force placed in the lower umbilicus of the Ellipsis and with a radius drawn to that center describe areas proportional to the times. And in the winter between the years 1683 and 1684 this Proposition with the Demonstration was entered in the Register book of the R. Society. And this is the first instance upon record of any Proposition in the higher Geometry found out by the method in dispute. In the year 1689 Mr Leibnitz, endeavouring to rival me, published a Demonstration of the same Proposition upon another supposition, but his Demonstration proved erroneous for want of skill in the method.