"A scientific hypothesis may be defined in general terms as a provisional or tentative explanation of physical phenomena. But what is an explanation in the true scientific sense? The answers to this question which are given by logicians and men of science, though differing in their phraseology, are essentially of the same import. Phenomena are explained by an exhibition of their partial or total identity with other phenomena. Science is knowledge; and all knowledge, in the language of Sir William Hamilton is a "unification of the multiple." "The basis of all scientific explanation," says Bain, "consists in assimilating a fact to some other fact or facts. It is identical with the generalizing process." And "generalization is only the apprehension of the One in the Many." Similarly Jevons: "Science arises from the discovery of identity amid diversity," and "every great advance in science consists in a great generalization pointing out deep and subtle resemblances." ...the author just quoted in another place: "Every act of explanation consists in detecting and pointing out a resemblance between facts, or in showing that a greater or less degree of identity exists between apparently diverse phenomena." All this may be expressed in familiar language thus: When a new phenomenon presents itself to the man of science or to the ordinary observer, the question arises in the mind of either: What is it?—and this question simply means: Of what known, familiar fact is this apparently strange, hitherto unknown fact a new presentation—of what known, familiar fact or facts is it a disguise or complication? Or, inasmuch as the partial or total identity of several phenomena is the basis of classification (a class being a number of objects having one or more properties in common), it may also be said that all explanation, including explanation by hypothesis, is in its nature classification. Such being the essential nature of a scientific explanation of which an hypothesis is a probatory form, it follows that no hypothesis can be valid which does not identify the whole or a part of the phenomenon, for the explanation of which it is advanced, with some other phenomenon or phenomena previously observed. This first and fundamental canon of all hypothetical reasoning in science is formally resolvable into two propositions, the first of which is that every valid hypothesis must be an identification of two terms—the fact to be explained and a fact by which it is explained; and the second that the latter fact must be known to experience."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Footnotes) Hamilton: Lectures on Metaphysics, pp. 47-48; Bain, Logic, ii (Inductive) chap. xii., §2; Jevons, Principles of Science, i, p. 1
https://en.wikiquote.org/wiki/Unification_in_science_and_mathematics
Revision History
No revisions have been submitted for this quote.
Categories
Unification in science and mathematics
99 quotes on TrueQuotesView all quotes by Unification in science and mathematics →
Related Quotes
"It appears... that the elastic theories of light, if Kelvin's gyrostatic adynamic ether be admitted, have not been wh…"
"At first the mathematical disciplines were not sharply defined. As knowledge increased, individual subjects split off…"
"Whatever its source, mathematics has come down to the present by the two main streams of number and form. The first c…"
"If the early Greeks were cognizant of Babylonian algebra, they made no attempt to develop or even to use it, and ther…"
"Science is an attempt to represent the known world as a closed system with a perfect formalism. Scientific discovery …"
"Up to this point mathematics alone appeared to Descartes worthy of being called a science. ...in order to establish t…"
"[A]s the great extreme of dimension is sublime, so the last extreme of littleness is in the same measure sublime... w…"
"Edmund Burke, ' (1757) p. 81 of the 1898 edition."
"Copernicus had taken one course in treating the earth as virtually a celestial body in the Aristotelian sense—a perfe…"
"The more man inquires into the laws which regulate the material universe, the more he is convinced that all its varie…"