Integral defined and delimited

Let's take a look at the word integral, since that is one of the defining terms of this forum, and the defining term of an entire philosophical movement. As an adjective it means, among other things, the relation of parts to wholes, aka holons and mereology. Hence the predominant fixation of all things integral with mereology. As a noun it is the integrated whole. It comes from the Latin for whole. Synonyms include essential, indispensable, requisite, hence mereology as the indispensable and requisite factor in kennlingus, including its essentialism. The term lends itself to both the dignity and disaster of kennlingus for choosing this as its defining banner.


It also relates to integrals in calculus, but I don't speak math. If anyone does, can they relate it to the above? In the historical notation it says:

"The modern notation for the indefinite integral was introduced by Gottfried Leibniz in 1675 (Burton 1988, p. 359; Leibniz 1899, p. 154). He adapted the integral symbol, ∫, from the letter ſ (long s), standing for summa (written as ſumma; Latin for 'sum' or 'total')."

Also see this post earlier in the thread, which bears reiteration here given the holarchical fixation above:

I see similarities between Lakoff's critique of objectivism and Edwards' critique of a hierarchic-centric view in AQAL. For example, Edwards says in part 9 of the above referenced interview:

"AQAL metatheory has focused almost exclusively on the stage-based approach where development is seen as the holarchical emergence of qualitatively new forms of complexity and capacities. This is, what I call, the developmental holarchy lens. However, this is only one among many other explanatory lenses that might be used to describe and understand transformation.... We need to combine it with and differentiate it from many other lenses if we are to see how stage-based development aligns with other aspects of transformation."

Lakoff sees the objectivitst paradigm as being solely reliant on a hierarchical category theory, and as a result we get a very dualistic, metaphysical conception of the world. While I don't see that Edwards criticizes this particular aspect in AQAL you can see I've repeated made that same connection with the kennilingual metaphysical dualism. And both Lakoff and Edwards recognize that there are a variety of ways basic categories and/or lenses can combine and that all forms derived therefrom must be utilized and contextualized in a meta-theory. Hence neither oppose hierarchical complexity but both put it in a larger context and thus take out the metaphysics that seems inherent when this is the predominant lens used.