“Topology and number theory are my faves.”

— Janna Levin

Barnard Physics Mechanics PHYS BC2001 (Autumn 2010)

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Janna Levin4

American theoretical cosmologist 1967

Ludwig von Bertalanffy (1901–1972) austrian biologist and philosopher

General System Theory (1968), 4. Advances in General Systems Theory

“Imaginary numbers are not imaginary and the theory of complex numbers is no more complex than the theory of real numbers. Complex numbers are as intuitive for an electronics engineer as -100 is for the average person with an overdrawn bank account.”

Mordechai Ben-Ari (1948) Israeli computer scientist

Source: Just a Theory: Exploring the Nature of Science (2005), Chapter 3, “Words Scientists Don’t Use: At Least Not the Way You Do” (p. 56)

“You can ask the question about these ancient topics, such as perfect numbers and amicable numbers… and ask, are these good problems… I'd like to give a small amount of evidence… that they are… [S]tudying them helped us develop all of elementary number theory and from elementary number theory we developed the rest of number theory, and also you can argue that from elementary number theory came algebra..”

Carl Pomerance (1944) American mathematician

"Paul Erdős and the Rise of Statistical Thinking in Elementary Number Theory" https://www.youtube.com/watch?v=5cU0g9dI1S8&t=9m40s (July, 2013) Erdős Centennial Conference, Budapest.

“Number theory is useful, since one can graduate with it.”

Edmund Landau (1877–1938) German Jewish mathematician

Die Zahlentheorie ist nützlich, weil man mit ihr promovieren kann.
Foreword to Vorlesungen über Zahlentheorie (Lectures on Number Theory) (1927).

“Whereas originally the hopes for string theory, and its descendants, were that some kind of uniqueness would be arrived at, whereby the theory would supply mathematical explanations for the measured numbers of experimental physics, the string theorists were driven to find refugee in the strong anthropic argument in an attempt to narrow down an absolutely vast number of alternatives. In my own view, this a very sad and unhelpful place for a theory to find itself.”

Roger Penrose book Fashion, Faith, and Fantasy in the New Physics of the Universe

Source: Fashion, Faith, and Fantasy in the New Physics of the Universe (2016), Ch. 3 Fantasy, p 322

“Laws never become theories! The theory of gravity includes a number of Newtonian laws. There is not one law of gravity; there are several laws included within the theory. The same goes for Relativity and even for evolution for that matter.”

Aron Ra (1962) Aron Ra is an atheist activist and the host of the Ra-Men Podcast

Patheos, Orwellian Legislative Duplicity on HB 1485 http://www.patheos.com/blogs/reasonadvocates/2017/05/05/orwellian-legislative-duplicity-hb-1485/ (May 5, 2017)

“The process of theory construction in organizational studies is portrayed as imagination disciplined by evolutionary processes analogous to artificial selection. The quality of theory produced is predicted to vary as a function of the accuracy and detail present in the problem statement that triggers theory building, the number of and independence among the conjectures that attempt to solve the problem, and the number and diversity of selection criteria used to test the conjectures.”

Karl E. Weick (1936) Organisational psychologist

Source: 1980s-1990s, "Theory construction as disciplined imagination," 1989, p. 516

“The principles of the theory are derived, as are those of rational mechanics, from a very small number of primary facts”

Joseph Fourier book The Analytical Theory of Heat

Source: The Analytical Theory of Heat (1878), Ch. 1, p. 6
Context: If we consider further the manifold relations of this mathematical theory to civil uses and the technical arts, we shall recognize completely the extent of its applications. It is evident that it includes an entire series of distinct phenomena, and that the study of it cannot be omitted without losing a notable part of the science of nature.
The principles of the theory are derived, as are those of rational mechanics, from a very small number of primary facts, the causes of which are not considered by geometers, but which they admit as the results of common observations confirmed by all experiment.

“The theory of chance consists in reducing all the events of the same kind to a certain number of cases equally possible”

Pierre-Simon Laplace book Philosophical Essay on Probabilities

Philosophical Essay on Probabilities (1902)
Context: The theory of chance consists in reducing all the events of the same kind to a certain number of cases equally possible, that is to say, to such as we may be equally undecided about in regard to their existence, and in determining the number of cases favorable to the event whose probability is sought.<!--p.6

“In developing my account of consciousness, I have tried to obey a number of constraints. The first and most important is to take consciousness seriously. The easiest way to develop a "theory" of consciousness is to deny its existence, or to redefine the phenomenon in need of explanation as something it is not. This usually leads to an elegant theory, but the problem does not go away.”

David Chalmers book The Conscious Mind

The Conscious Mind: In Search of a Fundamental Theory (1996)

“Topology and number theory are my faves.”

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Janna Levin4

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