The phrase "analysis of the idea" is correct and usable in written English.
It can be used when discussing or examining a specific concept or thought in detail.
Example: "In this paper, I will provide an analysis of the idea of freedom in modern society."
Alternatives: "examination of the concept" or "evaluation of the notion".
Hector Moreno, a 21-year-old senior who is studying chemical engineering, began an analysis of the idea of infinity as a mathematical concept in Borges's stories.
Similarly, the celebrated analysis of the idea of causality put forward by David Hume was not undertaken out of idle curiosity but with a wider purpose in mind: to undermine both the Aristotelian and the Cartesian views of the world and to substitute for them an atomism of immediate appearances in which all objects were "loose and separate"—that is, logically independent one of another.
Capital Volume 1 begins with an analysis of the idea of commodity production.
The artistic productions were scored on three factors: analysis of the idea, implementation of the idea and technical skill.
Danielle Goldman (2010) provides a critical analysis of the idea of improvisational "freedom", as represented in Carter's improvisation type 2, above.
It should also be mentioned that Ockham's theory is relevant for the conceptual analysis of the idea of prophecy (see the entry on prophecy).
With Calvin S. Hall, Dr. Lindzey wrote an influential review, "Theories of Personality" (1957), which provided a critical analysis of the ideas of Freud, Jung, Adler, Skinner and other analysts and psychologists, in an effort to explain different approaches to the organization of the mind.
Qualitative analysis of the ideas submitted to date shows that they tend to be related to the improvement of current clinical and managerial processes, IT problems and day-to-day situations, rather than disruptive innovations.
Understood as a shaped thing, an analysis of this idea would reveal that the innate idea of extension (body) is in play, so to speak, for without it we simply could not conceive (or experience) the sun as shaped.
A comparative analysis of the proposed idea has been carried out for the classical JTC (CJTC), binary JTC (BJTC) and differential binary JTC DBJTCC) algorithms.
The genesis of the geometrical metric structure is neither seen as the creation of the concrete material from the general idea (a group) nor as the creation of the category (a group) from the concrete, but as the advent of relations linked to the concrete in an aesthetic analysis of the general idea.
