“Sam Treiman… has quoted something he called Treiman's theorem… Impossible things usually don't happen…. With the discovery of radioactivity… it suddenly became apparent that the "impossible" was happening all the time. Uranium, thorium, radium… fit all the requirements of chemical elements. They could not be broken down by any of the standard methods… But occasionally… atoms of these elements spontaneously changed into other kinds of atoms…. So what is left of the doctrine of the elements? Is alchemy reinstated? Not at all. The point is that the doctrine fails only under rare or special conditions…. We can isolate the conditions in which they do, and retain a more restricted but still useful concept of the "impossible."”

— Frank Wilczek

Longing for the Harmonies: Themes and Variations from Modern Physics (1987)

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Frank Wilczek 49

physicist 1951

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“1. Small particles called atoms exist and compose all matter; 2. They are indivisible and indestructible; 3. Atoms of the same chemical element have the same chemical properties and do not transmute or change into different elements.”

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A New System of Chemical Philosophy, Part I http://books.google.com/books?id=Wp7QAAAAMAAJ (1808) as quoted by Richard Reeves, A Force of Nature The Frontier Genius of Ernest Rutherford (2008)

“The definite mass ratios involved in reactions suggested a convenient method for counting the number of atoms of each element participating in the reaction. These results, summarized as the laws of chemical combination, provided overwhelming, if indirect, evidence for the existence of atoms and molecules.”

David W. Oxtoby (1951) President of Pomona college

Principles of Modern Chemistry (7th ed., 2012), Ch. 1 : The Atom in Modern Chemistry

“On the geometric level, we see certain physical elements repeated endlessly, combined in an almost endless variety of combinations… It is puzzling to realize that the elements, which seem like elementary building blocks, keep varying, and are different every time that they occur …. If the elements are different every time that they occur, evidently then, it cannot be the elements themselves which are repeating in a building or town; these so-called elements cannot be the ultimate "atomic" constituents of space.”

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Cited in: Peter Coad (1992, p. 152)
The Timeless Way of Building (1979)

“Language has time as its element; all other media have space as their element.”

Sören Kierkegaard (1813–1855) Danish philosopher and theologian, founder of Existentialism

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“Radioactivity is shown to be accompanied by chemical changes in which new types of matter are being continually produced. … The conclusion is drawn that these chemical changes must be sub-atomic in character.”

Ernest Rutherford (1871–1937) New Zealand-born British chemist and physicist

"The Cause and Nature of Radioactivity" in Philosophical Magazine (September 1902)

“Boyle entertains the hypothesis of a universal matter, the concept of atoms of different shapes and sizes, and the possibility of existence of substances that might properly be called elements… The atomic theory as originally conceived by Democritus and Epicurus, developed by Lucretius, and resurrected by Gassendi from about 1647 on, was doubtless the source from which Boyle derived his ideas, …as he cites both Epicurus and Gassendi. Boyle, however… avoids any dogmatic assertion of these hypotheses. It is plain, however, that these atoms or "corpuscles" as he calls them are a constant element of his thought.”

John Maxson Stillman (1852–1923) American chemist

John Maxson Stillman, The Story of Alchemy and Early Chemistry (1924)

“Each element in the system is ignorant of the behaviour of the system as a whole, it responds only to information that is available to it locally… If each element 'knew' what was happening to the system as a whole, all of the complexity would have to be present in that element.”

Paul Cilliers (1956–2011) South African philosopher

Source: Complexity and Postmodernism (1998), p. 4-5; as cited in: Peter Buirski, ‎Amanda Kottler (2007) New Developments in Self Psychology Practice http://books.google.nl/books?id=PinroXBLDkIC&pg=PA9, p. 9

“What has happened is a hostile takeover of the Israeli government by dangerous elements. And it's just the beginning.”

Ehud Barak (1942) Israeli politician and prime minister

“[I]t is impossible that each of the elements should be infinite. For that is body which has interval on all sides; and that is infinite which has extension without bound.”

Aristotle book Physics

Book III, Ch. VII, p. 159.
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“Through the constant revolution of the fifth element, with all contained therein, the four elements are forced to move and to change their respective positions, so that fire and air are driven into the water, and again these three elements enter the depth of the earth. Thus are the elements mixed together; and when they return to their respective places, parts of the earth, in quitting their places, move together with the water, the air and the fire. In this whole process the elements act and react upon each other. The elements intermixed, are then combined, and form at first various kinds of vapours; afterwards the several kinds of minerals, every species of plants, and many species of living beings, according to the relative proportion of the constituent parts. All transient beings have their origin in the elements, into which again they resolve when their existence comes to an end. The elements themselves are subject to being transformed from one into another; for although one substance is common to all, substance without form is in reality impossible, just as the physical form of these transient beings cannot exist without substance.”

Maimónides book The Guide for the Perplexed

Source: Guide for the Perplexed (c. 1190), Part I, pp.294-295 (1881) Tr. Friedlander

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Frank Wilczek 49

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