Number theory
While the word "algorithm" goes back only to certain readers of al-Khwārizmī, careful descriptions of methods of solution are older than proofs: such methods (that is, algorithms) are as old as any recognisable mathematics—ancient Egyptian, Babylonian, Vedic, Chinese—whereas proofs appeared only with the Greeks of the classical period.
An interesting early case is that of what we now call the Euclidean algorithm. In its basic form (namely, as an algorithm for computing the greatest common divisor) it appears as Proposition 2 of Book VII in "Elements", together with a proof of correctness. However, in the form that is often used in number theory (namely, as an algorithm for finding integer solutions to an equation formula_78,
or, what is the same, for finding the quantities whose existence is assured by the Chinese remainder theorem) it first appears in the works of Āryabhaṭa (5th–6th century CE) as an algorithm called
"kuṭṭaka" ("pulveriser"), without a proof of correctness.
Technocracy
The term "technocracy" is derived from the Greek words τέχνη, "tekhne" meaning "skill" and κράτος, "kratos" meaning "power", as in "governance", or "rule". William Henry Smyth, a Californian engineer, is usually credited with inventing the word "technocracy" in 1919 to describe "the rule of the people made effective through the agency of their servants, the scientists and engineers", although the word had been used before on several occasions. Smyth used the term "Technocracy" in his 1919 article "'Technocracy'—Ways and Means to Gain Industrial Democracy," in the journal "Industrial Management" (57). Smyth's usage referred to Industrial democracy: a movement to integrate workers into decision making through existing firms or revolution.