Source: "Outlines of the Science of Energetics," (1855), p. 121; Lead paragraph: Section "What Constitutes A Physical Theory"
“As is known, scientific physics dates its existence from the discovery of the differential calculus. Only when it was learned how to follow continuously the course of natural events, attempts, to construct by means of abstract conceptions the connection between phenomena, met with success. To do this two things are necessary: First, simple fundamental concepts with which to construct; second, some method by which to deduce, from the simple fundamental laws of the construction which relate to instants of time and points in space, laws for finite intervals and distances, which alone are accessible to observation”
can be compared with experience
Die partiellen Differentialgleichungen der mathematischen Physik (1882) as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book https://books.google.com/books?id=G0wtAAAAYAAJ (1914) p. 239
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Bernhard Riemann 43
German mathematician 1826–1866Related quotes
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 1; Ch. 1. Nature And Design Of This Work, lead paragraph
Source: 1930s, Power: A New Social Analysis (1938), Ch. 1: The Impulse to Power
Introduction
Higher Mathematics for Chemical Students (1911)
"Optical transmission" in Information Theory : Papers Read at a Symposium on Information Theory (1952), as cited in Living Systems (1978) by James Grier Miller, p. 12
Context: Incomplete knowledge of the future, and also of the past of the transmitter from which the future might be constructed, is at the very basis of the concept of information. On the other hand, complete ignorance also precludes communication; a common language is required, that is to say an agreement between the transmitter and the receiver regarding the elements used in the communication process...
[The information of a message can] be defined as the 'minimum number of binary decisions which enable the receiver to construct the message, on the basis of the data already available to him.' These data comprise both the convention regarding the symbols and the language used, and the knowledge available at the moment when the message started.
“The first and fundamental law of Nature, which is, to seek peace and follow it.”
[Newcomb, Simon, Is the Airship Coming?, McClure's magazine, September 1901, 17, 5, 432–435, S. S. McClure, Limited, http://invention.psychology.msstate.edu/library/Magazines/Airship_Coming.html]
Source: "Outlines of the Science of Energetics," (1855), p. 121; Second paragraph