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The assumption that anything true is knowable is the grandfather of paradoxes.
--
Chapter 12: "Omniscience", p. 260

 

William Poundstone

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Zeno of Elea, 5th c. B.C. thinker, is known exclusively for propounding a number of ingenious paradoxes. The most famous of these purport to show that motion is impossible by bringing to light apparent or latent contradictions in ordinary assumptions regarding its occurrence. Zeno also argued against the commonsense assumption that there are many things by showing in various ways how it, too, leads to contradiction. We may never know just what led Zeno to develop his famous paradoxes. While it is typically said that he aimed to defend the paradoxical monism of his Eleatic mentor, Parmenides, the Platonic evidence on which this view has resided ultimately fails to support it. Since Zeno's arguments in fact tend to problematize the application of quantitative conceptions to physical bodies and to spatial expanses as ordinarily conceived, the paradoxes may have originated in reflection upon Pythagorean efforts to apply mathematical notions to the natural world. Zeno's paradoxes have had a lasting impact through the attempts, from Aristotle down to the present day, to respond to the problems they raise.

 

Zeno of Elea

 

And it is not knowable if force will be used, but if it is to be used, it is not knowable how long that conflict would last. It could last, you know, six days, six weeks. I doubt six months.

 

Donald Rumsfeld

 

They know of no solutions to the paradoxes of the Middle East and Europe, the Far East and Africa except the landing of Marines. Being baffled, and also being very tired of being baffled, they have come to believe that there is no way out—except war—which would remove all the bewildering paradoxes of their tedious and now misguided attempts to construct peace. In place of these paradoxes they prefer the bright, clear problems of war—as they used to be. For they still believe that "winning" means something, although they never tell us what.

 

C. Wright Mills

 

Reductionism (ultimately, the empirical explanability of everything and a cornerstone of science), has uses that are appropriate, and it also can be used inappropriately. It is appropriately used as a way (one way) of understanding what is empirically known or empirically knowable. When it becomes merely an intellectual "position" confronting what is not empirically known or knowable, then it becomes very quickly absurd, and also grossly desensitizing and false.

 

Wendell Berry

 

[T]he assumption describes our actions, not our thoughts. If you had to understand something intellectually in order to do it, none of us would be able to walk.
Economics is based on the assumption that people have reasonably simple objectives and choose means to achieve them. Both assumptions are false-but useful.
Suppose someone is rational only half the time. Since there is generally one right way of doing things and many wrong ways, the rational behavior can be predicted but the irrational cannot. If we assume he is rational, we predict his behavior correctly about half of the tie - far from perfect, but a lot better then nothing. If I could do well at the racetrack I would be a very rich man.
[R]ationality is an assumption I make about other people. I know myself.
[R]ationality is an assumption I make about other people. I know myself well enough to allow for the consequences of my own irrationality. But for the vast mass of my fellow humans, about whom I know very little, rationality is the best predictive assumption available. (pp.3-5)

 

David Friedman