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The idea of a method that contains firm, unchanging, and absolutely binding principles for conducting the business of science meets considerable difficulty when confronted with the results of historical research. We find, then, that there is not a single rule, however plausible, and however firmly grounded in epistemology, that is not violated at some time or other. It becomes evident that such violations are not accidental events, they are not results of insufficient knowledge or of inattention which might have been avoided. On the contrary, we see that they are necessary for progress. Indeed, one of the most striking features of recent discussions in the history and philosophy of science is the realization that events and developments, such as the invention of atomism in antiquity, the Copernican Revolution, the rise of modern atomism (kinetic theory; dispersion theory; stereochemistry; quantum theory), the gradual emergence of the wave theory of light, occurred only because some thinkers either decided not to be bound be certain 'obvious' methodological rules, or because they unwittingly broke them.

Paul Karl Feyerabend
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Radical constructivism, thus, is radical because it breaks with convention and develops a theory of knowledge in which knowledge does not reflect an 'objective' ontological reality.

Paul Watzlawick
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There is a widespread philosophical tendency towards the view which tells us that Man is the measure of all things, that truth is man-made, that space and time and the world of universals are properties of the mind, and that, if there be anything not created by the mind, it is unknowable and of no account for us. This view, if our previous discussions were correct, is untrue; but in addition to being untrue, it has the effect of robbing philosophic contemplation of all that gives it value, since it fetters contemplation to Self. What it calls knowledge is not a union with the not-Self, but a set of prejudices, habits, and desires, making an impenetrable veil between us and the world beyond. The man who finds pleasure in such a theory of knowledge is like a man who never leaves the domestic circle for fear his word might not be law.

Bertrand Russell, The Problems of Philosophy
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In recent philosophy there has been a growing awareness of the gap between the abstract principles proposed by philosophers and the ways in which people actually think. The kind of rationality admired in the theory of knowledge is idealization. In the real world people have to act on beliefs often based on fragmentary and unreliable evidence.

Jonathan Glover, Humanity: A Moral History of the Twentieth Century
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In its quest to discover how the patterns of reality are organised, the story of modern science hints at a picture of a set of Chinese puzzle boxes, each one more intricately structured and wondrous than the last. Every time the final box appears to have been reached, a key has been found which has opened up another, revealing a new universe even more breathtakingly improbable in its conception. We are now forced to suspect that, for human reason, there is no last box, that in some deeply mysterious, virtually unfathomable, self-reflective way, every time we open a still smaller box, we are actually being brought closer to the box with which we started, the box which contains our own conscious experience of the world. This is why no theory of knowledge, no epistemology, can ever escape being consumed by its own self-generated paradoxes. And this is why we must consider the universe to be irredeemably mystical.

Bob Hamilton, Earthdream: The Marriage of Reason and Intuition
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The concept of divine revelation was central to Augustine's epistemology, or theory of knowledge. The metaphor of light is instructive. In our present earthly state we are equipped with the faculty of sight. We have eyes, optic nerves, and so forth- all the equipment needed for sight. But a man with the keenest eyesight can see nothing if he is locked in a totally dark room. So just as an external source of light is needed for seeing, so an external revelation from God is needed for knowing. When Augustine speaks of revelation, he is not speaking of Biblical revelation alone. He is also concerned with "general" or "natural" revelation. Not only are the truths in Scripture dependent on God's revelation, but all truth, including scientific truth, is dependent on divine revelation. This is why Augustine encouraged students to learn as much as possible about as many things as possible. For him, all truth is God's truth, and when one encounters truth, one encounters the God whose truth it is.

R.C. Sproul, Consequences of Ideas
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Without a constant misuse of language there cannot be any discovery, any progress

Paul Karl Feyerabend, Against Method: Outline of an Anarchistic Theory of Knowledge
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The objection that science is self-correcting and thus needs no outside interference overlooks, first, that every enterprise is self-correcting (look at what happened to the Catholic Church after Vatican II) and, secondly, that in a democracy the self-correction of the whole which tries to achieve more humane ways of living overrules the self-correction of the parts which has a more narrow aim -- unless the parts are given temporary independence. Hence in a democracy local populations not only will, but also should, use the sciences in ways most suitable to them. The objection that citizens do not have the expertise to judge scientific matters overlooks that important problems often lie across the boundaries of various sciences so that scientists within these sciences don't have the needed expertise either. Moreover, doubtful cases always produce experts for the one side, experts for the other side, and experts in between. But the competence of the general public could be vastly improved by an education that exposes expert fallibility instead of acting as if it did not exist. (Chapter 19)

Paul Karl Feyerabend, Against Method: Outline of an Anarchistic Theory of Knowledge
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Science is essentially an anarchic enterprise: theoretical anarchism is more humanitarian and more likely to encourage progress than its law-and-order alternatives.

Paul Karl Feyerabend, Against Method: Outline of an Anarchistic Theory of Knowledge
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