Friedrich Hayek quote: “The attack on economics sprang rather from a dislike of the application of scientific methods to the investigation of s…”

“Wonder, Carlyle declared, is the beginning of philosophy. It is not wonder, but rather the social enthusiasm which revolts from the sordidness of mean streets and the joylessness of withered lives, that is the beginning of economic science. Here, if in no other field, Comte's great phrase holds good: "It is for the heart to suggest our problems; it is for the intellect to solve them…. The only position for which the intellect is primarily adapted is to be the servant of the social sympathies."”

Arthur Cecil Pigou (1877–1959) British economist

Source: The Economics of Welfare (1920), Ch. 1 : Welfare and Economic Welfare, § 1

“A comparative social science requires a generalized system of concepts which will enable the scientific observer to compare and contrast large bodies of concretely different social phenomena in consistent terms.”

David Aberle (1918–2004) anthropologist

David Aberle, Albert K. Cohen, A. K. Davis, Marion J. Levy Jr. and Francis X. Sutton, (1950). T"he functional prerequisites of a society." Ethics, 60(2), p. 100; cited in: Neil J. Smelser (2013), Comparative Methods in the Social Sciences. p. 189

“A comparative social science requires a generalized system of concepts which will enable the scientific observer to compare and contrast large bodies of concretely different social phenomena in consistent terms.”

Albert K. Cohen (1918–2014) American criminologist

David Aberle, Albert K. Cohen, A. K. Davis, Marion J. Levy Jr. and Francis X. Sutton, (1950). T"he functional prerequisites of a society." Ethics, 60(2), p. 100; cited in: Neil J. Smelser (2013), Comparative Methods in the Social Sciences. p. 189

“A comparative social science requires a generalized system of concepts which will enable the scientific observer to compare and contrast large bodies of concretely different social phenomena in consistent terms.”

Marion J. Levy Jr. (1918–2002) American sociologist

David Aberle, Albert K. Cohen, A. K. Davis, Marion J. Levy Jr. and Francis X. Sutton, (1950). T"he functional prerequisites of a society." Ethics, 60(2), p. 100; cited in: Neil J. Smelser (2013), Comparative Methods in the Social Sciences. p. 189

“If we do not succeed in solving a mathematical problem, the reason frequently consists in our failure to recognize the more general standpoint from which the problem before us appears only as a single link in a chain of related problems. After finding this standpoint, not only is this problem frequently more accessible to our investigation, but at the same time we come into possession of a method which is applicable also to related problems.”

David Hilbert Mathematical Problems

Mathematical Problems (1900)

“[I]f suffering is bad for animals when we cause it, it is also bad for them when other animals cause it. That suffering is bad for those who experience it is not a human prejudice; nor is an effort to prevent wild animals from suffering a moralistic attempt to police the behavior of other animals. Even if we are not morally required to prevent suffering among animals in the wild for which we are not responsible, we do have a moral reason to prevent it, just as we have a general moral reason to prevent suffering among human beings that is independent both of the cause of the suffering and of our relation to the victims. The main constraint on the permissibility of acting on our reason to prevent suffering is that our action should not cause bad effects that would be worse than those we could prevent.”

Jeff McMahan (philosopher) (1954) American philosopher

" The Meat Eaters http://opinionator.blogs.nytimes.com/2010/09/19/the-meat-eaters/", The New York Times, 19 Sept. 2010

“The essences of the Gods never came into existence (for that which always is never comes into existence; and that exists for ever which possesses primary force and by nature suffers nothing): neither do they consist of bodies; for even in bodies the powers are incorporeal. Neither are they contained by space; for that is a property of bodies. Neither are they separate from the first cause nor from one another, just as thoughts are not separate from mind nor acts of knowledge from the soul.”

Sallustius Roman philosopher and writer

II. That God is unchanging, unbegotten, eternal, incorporeal, and not in space.
Variant translation:
The essences of the gods are neither generated; for eternal natures are without generation; and those beings are eternal who possess a first power, and are naturally void of passivity. Nor are their essences composed from bodies; for even the powers of bodies are incorporeal: nor are they comprehended in place; for this is the property of bodies: nor are they separated from the first cause, or from each other; in the same manner as intellections are not separated from intellect, nor sciences from the soul.
II. That a God is immutable, without Generation, eternal, incorporeal, and has no Subsistence in Place, as translated by Thomas Taylor
On the Gods and the Cosmos

“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”

Bernhard Riemann (1826–1866) German mathematician

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

“On hearing: "It’s an extremely important faculty which helps to balance the nervous system. Besides, people do not hear or see the same thing. There are specialists, especially in France, that measure hearing and determine the frequencies that the ear cannot hear or can only hear at greater intensity. This can cause psychological problems".”

Vangelis (1943) Greek composer of electronic, progressive, ambient, jazz, pop rock, and orchestral music

1979

“Of course, when the effective causes are too obscure, but the final causes are more readily ascertained, the problem is commonly solved by the indirect method”

Leonhard Euler (1707–1783) Swiss mathematician

introduction to De Curvis Elasticis, Additamentum I to his Methodus Inveniendi Lineas Curvas Maximi Minimive Proprietate Gaudentes 1744; translated on pg10-11, "Leonhard Euler's Elastic Curves" https://www.dropbox.com/s/o09w82abgtftpfr/1933-oldfather.pdf, Oldfather et al 1933
Context: All the greatest mathematicians have long since recognized that the method presented in this book is not only extremely useful in analysis, but that it also contributes greatly to the solution of physical problems. For since the fabric of the universe is most perfect, and is the work of a most wise Creator, nothing whatsoever takes place in the universe in which some relation of maximum and minimum does not appear. Wherefore there is absolutely no doubt that every effect in the universe can be explained as satisfactorily from final causes, by the aid of the method of maxima and minima, as it can from the effective causes themselves. Now there exist on every hand such notable instances of this fact, that, in order to prove its truth, we have no need at all of a number of examples; nay rather one's task should be this, namely, in any field of Natural Science whatsoever to study that quantity which takes on a maximum or a minimum value, an occupation that seems to belong to philosophy rather than to mathematics. Since, therefore, two methods of studying effects in Nature lie open to us, one by means of effective causes, which is commonly called the direct method, the other by means of final causes, the mathematician uses each with equal success. Of course, when the effective causes are too obscure, but the final causes are more readily ascertained, the problem is commonly solved by the indirect method; on the contrary, however, the direct method is employed whenever it is possible to determine the effect from the effective causes. But one ought to make a special effort to see that both ways of approach to the solution of the problem be laid open; for thus not only is one solution greatly strengthened by the other, but, more than that, from the agreement between the two solutions we secure the very highest satisfaction.

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