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He first came to appreciate James's "The Will to Believe" in 1897 and subsequently acknowledged its impact on his thinking in an early important paper, "Axioms as Postulates" (1902).
As a basis for further logical deductions, Euclid proposed five common notions, such as "things equal to the same thing are equal," and five unprovable but intuitive principles known variously as postulates or axioms.
In formulating his laws, Newton asserted as postulates the notions of absolute space (in the sense of Euclidean geometry) and absolute time (a mathematical quantity that flows in the universe without reference to anything else).
Typically these double-abstraction principles are laid down as postulates, or axioms (or axiom schemes).
Recall that Carnap viewed the axioms of a scientific theory as postulates since they contribute to the interpretation of theoretical terms.
But when doing set theory for its own sake, the appropriate thing is not to take membership as a logical notion, and not to assume principles about membership as forming part of the "logic" of the theory, but as postulates thereof.
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Gilden et al. [4] concluded that the central timekeeper should be considered a 1/f source, rather than white noise as postulated by Wing and Kristofferson [1].
The mainstream thinking in art at the time, as postulated by New York's Museum of Modern Art, was that the march of modernism went from Mondrian to minimalism.
Postulating a national style in music is as useful, and as limiting, as postulating a national style of dress, manners or cuisine: it lays out guidelines that can degenerate into stereotype.
The reason for this, as postulated by Mr. Merhige and Steven Katz, who wrote the screenplay, is that Max Schreck was not just a brilliant actor but a real live (so to speak) vampire as well.
The atom, as postulated in this model, was inherently unstable because, by radiating continuously, the electron would gradually lose energy and spiral into the nucleus.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com