"Introductory" in The Physical Principles of the Quantum Theory (1930) as translated by Carl Eckhart and Frank C. Hoyt, p. 10
Context: Light and matter are both single entities, and the apparent duality arises in the limitations of our language. It is not surprising that our language should be incapable of describing the processes occurring within the atoms, for, as has been remarked, it was invented to describe the experiences of daily life, and these consist only of processes involving exceedingly large numbers of atoms. Furthermore, it is very difficult to modify our language so that it will be able to describe these atomic processes, for words can only describe things of which we can form mental pictures, and this ability, too, is a result of daily experience. Fortunately, mathematics is not subject to this limitation, and it has been possible to invent a mathematical scheme — the quantum theory — which seems entirely adequate for the treatment of atomic processes; for visualisation, however, we must content ourselves with two incomplete analogies — the wave picture and the corpuscular picture.
“The tragedy of life is linked inescapably with its splendor; you could tear civilization down and rebuild it from scratch, and the same dualities would rise again. Yet to fully inhabit these dualities—the dark as well as the light—is, paradoxically, the only way to transcend them.”
Bittersweet Introduction at p. xxiii
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Susan Cain 50
self-help writer 1968Related quotes
On her album Marry Me, as quoted in "The PopWatch Interview: St. Vincent's Annie Clark" in PopWatch (11 July 2007)
Context: A lot of the songs have a duality about them; one part is totally sincere, and there's another part that is kind of smirking and making light of it all. Or there's a very dark streak about it.
“Changed and yet the same, I rise again.”
Original: (sp) Eadem mutata resurgo
Gravestone marker (1705) referring to the , which remains the same after mathematical transformations. He considered it a symbol of resurrection. Bernoulli wanted the logarithmic Spira mirabilis, "the marvelous spiral," engraved on his headstone, but an Archimedean spiral was placed there instead.