All Science is necessarily prophetic, so truly so, that the power of prophecy is the test, the infallible criterion, by which any presumed Science is ascertained to be actually & verily science. The Ptolemaic Astronomy was barely able to prognosticate a lunar eclipse; with Kepler and Newton came Science and Prophecy.

Every subject in Davy's mind has the principle of Vitality. Living thoughts spring up like Turf under his feet.

I attended Davy's lectures to renew my stock of metaphors.
In 1802 Coleridge attended an entire course of Humphry Davy's lectures at the Royal Institution, and took over 60 pages of notes.

I must reject fluids and ethers of all kinds, magnetical, electrical, and universal, to whatever quintessential thinness they may be treble distilled, and (as it were) super-substantiated.

I shall attack Chemistry, like a Shark.
On his plans to set up a joint chemistry laboratory with Davy and Wordsworth in the Lake District.

I should not think of devoting less than 20 years to an Epic Poem. Ten to collect materials and warm my mind with universal science. I would be a tolerable Mathematician, I would thoroughly know Mechanics, Hydrostatics, Optics, and Astronomy, Botany, Metallurgy, Fossilism, Chemistry, Geology, Anatomy, Medicine—then the mind of man—then the minds of men—in all Travels, Voyages and Histories. So I would spend ten years—the next five to the composition of the poem—and the five last to the correction of it. So I would write haply not unhearing of the divine and rightly-whispering Voice, which speaks to mighty minds of predestinated Garlands, starry and unwithering.

I understood that you would take the Human Race in the concrete, have exploded the absurd notion of Pope's Essay on Man, [Erasmus] Darwin, and all the countless Believers—even (strange to say) among Xtians—of Man's having progressed from an Ouran Outang state—so contrary to all History, to all Religion, nay, to all Possibility—to have affirmed a Fall in some sense.

Mr. Lyell's system of geology is just half the truth, and no more. He affirms a great deal that is true, and he denies a great deal which is equally true; which is the general characteristic of all systems not embracing the whole truth. 29 June 1833. Table Talk (1836).

My Opinion is this—that deep Thinking is attainable only by a man of deep Feeling, and that all Truth is a species of Revelation. The more I understand of Sir Isaac Newton's works, the more boldly I dare utter to my own mind ... that I believe the Souls of 500 Sir Isaac Newtons would go to the making up of a Shakspere [sic] or a Milton... Mind in his system is always passive—a lazy Looker-on on an external World. If the mind be not passive, if it be indeed made in God's Image, & that too in the sublimest sense—the image of the Creator—there is ground for suspicion, that any system built on the passiveness of the mind must be false, as a system.

The sublime discoveries of Newton, and, together with these, his not less fruitful than wonderful application, of the higher mathesis to the movement of the celestial bodies, and to the laws of light, gave almost religious sanction to the corpuscular system and mechanical theory. It became synonymous with philosophy itself. It was the sole portal at which truth was permitted to enter. The human body was treated an hydraulic machine... In short, from the time of Kepler to that of Newton, and from Newton to Hartley, not only all things in external nature, but the subtlest mysteries of life, organization, and even of the intellect and moral being, were conjured within the magic circle of mathematical formulae.

This is, in truth, the first charm of chemistry, and the secret of the almost universal interest excited by its discoveries. The serious complacency which is afforded by the sense of truth, utility, permanence, and progression, blends with and ennobles the exhilarating surprise and the pleasurable sting of curiosity, which accompany the propounding and the solving of an Enigma... If in SHAKPEARE [sic] we find Nature idealized into Poetry, through the creative power of a profound yet observant meditation, so through the meditative observation of a DAVY, a WOOLLASTON [sic], or a HATCHETT; we find poetry, as if were, substantiated and realized in nature.

What! Did Sir W[alter] R[aleigh] believe that a male and female ounce (and, if so, why not two tigers and lions, etc?) would have produced, in a course of generations, a cat, or a cat a lion? This is Darwinizing with a vengeance.

[Coleridge] selected an instance of what was called the sublime, in DARWIN, who imagined the creation of the universe to have taken place in a moment, by the explosion of a mass of matter in the womb, or centre of space. In one and the same instant of time, suns and planets shot into systems in every direction, and filled and spangled the illimitable void! He asserted this to be an intolerable degradation -referring, as it were, all the beauty and harmony of nature to something like the bursting of a barrel of gunpowder! that spit its combustible materials into a pock-freckled creation!

[Davy's] March of Glory, which he has run for the last six weeks—within which time by the aid and application of his own great discovery, of the identity of electricity and chemical attractions, he has placed all the elements and all their inanimate combinations in the power of man; having decomposed both the Alkalies, and three of the Earths, discovered as the base of the Alkalies a new metal... Davy supposes there is only one power in the world of the senses; which in particles acts as chemical attractions, in specific masses as electricity, & on matter in general, as planetary Gravitation... when this has been proved, it will then only remain to resolve this into some Law of vital Intellect—and all human knowledge will be Science and Metaphysics the only Science.
In November 1807 Davy gave his famous Second Bakerian Lecture at the Royal Society, in which he used Voltaic batteries to 'decompose, isolate and name' several new chemical elements, notably sodium and potassium.