Etymology
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epistemic (adj.)
"pertaining to knowledge," 1886, from Greek episteme "knowledge," especially scientific knowledge (see epistemology) + -ic.
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epistemology (n.)
"theory of knowledge," 1856, coined by Scottish philosopher James F. Ferrier (1808-1864) from Greek episteme "knowledge, acquaintance with (something), skill, experience," from Ionic Greek epistasthai "know how to do, understand," literally "overstand," from epi "over, near" (see epi-) + histasthai "to stand," from PIE root *sta- "to stand, make or be firm." The scientific (as opposed to philosophical) study of the roots and paths of knowledge is epistemics (1969). Related: Epistemological; epistemologically.
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physic (n.)

c. 1300, fysike, phisike, "a healing potion;" early 14c., "natural science;" mid-14c. "healthful regimen;" late 14c., "the art of healing, medical science or theory;" from Old French fisike "natural science, art of healing" (12c.) and directly from Latin physica (fem. singular of physicus) "study of nature," from Greek physikē (epistēmē) "(knowledge) of nature," from fem. of physikos "pertaining to nature," from physis "nature," from phyein "to bring forth, produce, make to grow" (related to phyton "growth, plant," phylē "tribe, race," phyma "a growth, tumor") from PIE root *bheue- "to be, exist, grow."

The English spelling with ph- is attested from late 14c. (see ph). The meaning "medicine that acts as a laxative" is from 1610s. The obsolete verb meaning "to dose with medicine, administer medical treatment to" is attested from late 14c. (phisiken).

Physics, in Aristotle, is the science of what the Greeks called 'phusis' (or 'physis'), a word which is translated "nature", but has not exactly the meaning which we attach to that word. ... 'Phusis' has to do with growth; one might say it is the 'nature' of an acorn to grow into an oak, and in that case one would be using the word in the Aristotelian sense. The 'nature' of a thing, Aristotle says, is its end, that for the sake of which it exists. [Bertrand Russell, "History of Western Philosophy"] 
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science (n.)
Origin and meaning of science

mid-14c., "state or fact of knowing; what is known, knowledge (of something) acquired by study; information;" also "assurance of knowledge, certitude, certainty," from Old French science "knowledge, learning, application; corpus of human knowledge" (12c.), from Latin scientia "knowledge, a knowing; expertness," from sciens (genitive scientis) "intelligent, skilled," present participle of scire "to know."

The original notion in the Latin verb probably is "to separate one thing from another, to distinguish," or else "to incise." This is related to scindere "to cut, divide" (from PIE root *skei- "to cut, split;" source also of Greek skhizein "to split, rend, cleave," Gothic skaidan, Old English sceadan "to divide, separate").

OED writes that the oldest English sense of the word now is restricted to theology and philosophy. From late 14c. in English as "book-learning," also "a particular branch of knowledge or of learning, systematized knowledge regarding a particular group of objects;" also "skillfulness, cleverness; craftiness." From c. 1400 as "experiential knowledge;" also "a skill resulting from training, handicraft; a trade."

From late 14c. in the more specific sense of "collective human knowledge," especially that gained by systematic observation, experiment, and reasoning. The modern (restricted) sense of "body of regular or methodical observations or propositions concerning a particular subject or speculation" is attested by 1725; in 17c.-18c. this commonly was philosophy.

The sense of "non-arts studies" is attested from 1670s. The distinction is commonly understood as between theoretical truth (Greek epistemē) and methods for effecting practical results (tekhnē), but science sometimes is used for practical applications and art for applications of skill.

The predominant modern use, "natural and physical science," generally restricted to study of the phenomena of the material universe and its laws, is by mid-19c.

To blind (someone) with science "confuse by the use of big words or complex explanations" is attested from 1937, originally noted as a phrase from Australia and New Zealand. 

The men who founded modern science had two merits which are not necessarily found together: Immense patience in observation, and great boldness in framing hypotheses. The second of these merits had belonged to the earliest Greek philosophers; the first existed, to a considerable degree, in the later astronomers of antiquity. But no one among the ancients, except perhaps Aristarchus, possessed both merits, and no one in the Middle Ages possessed either. [Bertrand Russell, "A History of Western Philosophy," 1945] 
Science, since people must do it, is a socially embedded activity. It progresses by hunch, vision, and intuition. Much of its change through time does not record a closer approach to absolute truth, but the alteration of cultural contexts that influence it so strongly. Facts are not pure and unsullied bits of information; culture also influences what we see and how we see it. Theories, moreover, are not inexorable inductions from facts. The most creative theories are often imaginative visions imposed upon facts; the source of imagination is also strongly cultural. [Stephen Jay Gould, introduction to "The Mismeasure of Man," 1981]
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