Abstractions

In some cases, it is possible to define abstractions using Galois connections (α, γ) where α is from L to L and γ is from L to L. This supposes the existence of best abstractions, which is not necessarily the case.

Science and Sanity (5th ed.). p. 36 To be conscious of abstracting is to differentiate among the "levels" described above, levels II-IV being abstractions of level I (whatever level I "is" all we really get are abstractions).

Some abstractions try to limit the breadth of concepts a programmer needs by completely hiding the abstractions that in turn are built on.

Whitehead's abstractions Whitehead's abstractions are conceptual entities that are abstracted from or derived from and founded upon his actual entities.

And he used this gestural mode to create his first animated abstractions, painted directly on film stock, which was then edited and projected.

But Hurley pushes beyond the customary “made-ness” of his abstractions by adding elements that produce a found, functional vibe.

Chae’s painted oil abstractions feature broad brushstrokes, neutral colors and blurred edges over soft color washes that generate a dreamlike impression.

However, their own direct observation and was prior to, and more important than, the computational models and numerical abstractions—'the graphs'—of climate science.

I also like landscapes, still lifes, abstractions and figurations.

I have seen a lot (perhaps too many) of her urban abstractions.

Unlike the airy abstractions invented by market fundamentalists, markets in the real world depend on government for a great deal more than internal and external security.

A New York Times review of the Biennial criticized her abstractions and seemed to imply that favoritism got her in the show.

In total the industrial category accounts for 7.9% of all abstractions, or 2,685 million cubic metres each year.

Terrill says his father was “a frustrated artist who worked in a factory,” whose abstractions could be found hanging around the house.

The music touches down in slow-motion R&B, but moves toward abstractions — orchestral, jazzy, electronic — as Sumney ponders solitude and connection, masculinity and identity, self-doubt and self-realization, existence and transcendence.

While it's easy to see these trends as broad abstractions, they're also why Ms. Thomas -- a mother of two living in a small southern town -- has a job, and a pay raise.

She also represented a painter of fastidious astral abstractions, throughout the gallery’s run.

These norms, and the corruption inherent in “business as usual,” are not just abstractions but find embodiment in politicians like Mr. Biden and Hillary Clinton, as well as John McCain and the Bush family.

I’m exasperated by sermons that talk in abstractions.

While de Kooning is known for his abstract work, he did play with the human figure within those abstractions.