“The history of the development of Logical Empiricist theories since the turn of the century does not allow any clear canonization of a philosophical school in the strict sense, since what we are dealing with is a dynamic between center and periphery. The varying receptions of Wittgenstein, Tarski and Popper have influenced the development of various philosophies of science inspired by rational reconstruction, on the one hand, and by encyclopedic models on the other.”

Source: "What is the Vienna Circle?" 2006, p. xviii

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Friedrich Stadler5

Austrian historian 1951

Charles W. Morris (1903–1979) American philosopher

Source: Signs, Language and Behavior, 1946, p. 238; as cited in: Adam Schaff (1962). Introduction to semantics, p. 88-89

“If philosophy does not resolve any scientific problem, science, in its turn, does not resolve any philosophical problem.”

Nicolás Gómez Dávila (1913–1994) Colombian writer and philosopher

Sucesivos Escolios a un Texto Implícito (1992)

“Although this book deals with the conflict between religion and science, I see this as only one battle in a wider war—a war between rationality and superstition. Religion is but a single brand of superstition (others include beliefs in astrology, paranormal phenomena, homeopathy, and spiritual healing), but it is the most widespread and harmful form of superstition. And science is but one form of rationality (philosophy and mathematics are others), but it is a highly developed form, and the only one capable of describing and understanding reality.”

Jerry Coyne book Faith vs. Fact: Why Science and Religion are Incompatible

Source: Faith vs. Fact (2015), p. xii

“Mathematics has also been developed as a philosophy, in the sense in which this term is defined by A. N. Whitehead as 'the endeavor to frame a coherent, logical and necessary system of general ideas in terms of which every element of our experience can be interpreted'. Substitute 'mathematics' for 'experience' and we have an admirable description of its speculative and philosophic development…. Philosophy of mathematics… has its paradoxes and antimonies, and also diverse schools of thought…”

George Frederick James Temple (1901–1992) British mathematician

100 Years of Mathematics: a Personal Viewpoint (1981)

“The eighteenth century is full of contradictions. It is not only that its philosophical attitude wavers between rationalism and anti-rationalism, but its artistic aims are also dominated by two 122 opposite tendencies and at some times approach a strictly classicistic, at others a more unrestrained pictorial conception. And like the rationalism of the period, its classicism is also difficult to define and open to various sociological interpretations, since it is sustained alternately by courtly-aristocratic and middle-class strata of society and ends by developing into the representative artistic style of the revolutionary bourgeoisie.”

Arnold Hauser (1892–1978) Hungarian art historian

Source: The Social History of Art, Volume III. Rococo, Classicism and Romanticism, 1999, Chapter 5. Revolution and Art

“The postulation of a principle of causality, “to every effect there is a cause,” has been a continuing central problem for philosophy (Popper, 1972). Its role as a source of contention in modern science (Jauch, 1973) is epitomized by Einstein’s remark that, “I can’t believe that God plays dice.” Many of the arguments about the application of the principle are very relevant to systems science and to problems of system identification and machine learning, on the one hand, and to epistemology and behavioural psychology, on the other. In current system science the theory of causal deterministic systems is most well developed and generally applied, while the theory of modeling with alternative structures, e. g., stochastic automata, indeterminate automata, products of asynchronous automata, etc., has not been developed to the same degree.”

Brian R. Gaines (1938) British computer scientist

Introduction.
On the Complexity of Causal Models (1977)

“According to the most influential twentieth-century philosopher of science, Karl Popper, a theory is scientific only in so far as it is falsifiable, and should be given up as soon as it has been falsified. By this standard, the theories of Darwin and Einstein should never have been accepted.”

John Gray book Straw Dogs: Thoughts on Humans and Other Animals

The Human: Science's Irrational Origins (p. 22)
Straw Dogs: Thoughts on Humans and Other Animals (2002)

“Multiple discoveries are in fact very common in science and for much the same reason. Developments in related fields with different motivation help one to understand a difficult problem better. Since these developments are public knowledge, many scholars can take advantage of them. It is pleasant to the ego to be first or among the first with a new discovery. However, in this case at least, the evidence is clear that the development of general equilibrium theory would have gone on quite as it did without me.”

Kenneth Arrow (1921–2017) American economist

Arrow (1984) "November 1984 lecture at Trinity University". Lecture presented November 5, 1984.
1970s-1980s

“A logical theory may be tested by its capacity for dealing with puzzles, and it is a wholesome plan, in thinking about logic, to stock the mind with as many puzzles as possible, since these serve much the same purpose as is served by experiments in physical science.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

"On Denoting", Mind, Vol. 14, No. 56 (October 1905), pp. 479–493; as reprinted in Logic and Knowledge: Essays, 1901–1950, (1956)
1900s

“The initial thesis of my enterprise - on the basis of which this entanglement of periodizations is organized by extracting the sense of each - is this following: the science of being qua being has existed since the Greeks - such is the sense and status of mathematics. However, it is only today that we have the means to know this. It follows from this thesis that philosophy is not centered on on ontology - which exists as a separate and exact discipline- rather it circulates between this ontology (this, mathematics), the modern theories of he subject and its own history. The contemporary complex of the conditions of philosophy includes everything referred to in my first three statements: the history of 'Western'thought, post-Cantorian mathematics, psychoanalysis, contemporary art and politics. Philosophy does not coincide with any of these conditions; nor does it map out the totality to which they belong. What philosophy must do is purpose a conceptual framework in which the contemporary compossibilty of these conditions can be grasped. Philosophy can only do this - and this is what frees it from any foundational ambition, in which it would lose itself- by designating amongst its own conditions, as a singular discursive situation, ontology itself in the form of pure mathematics. This is precisely what delivers philosophy and ordains it to the care of truths.”

Alain Badiou (1937) French writer and philosopher

Introduction
Being and Event (1988)

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Friedrich Stadler5

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