Sentence examples for naive abstraction from inspiring English sources
So, coupling Contraction with the naive abstraction schema yields, via Curry's paradox, triviality.
Such classical approaches tend to respond to Curry's paradox in the same fashion — by rejecting the existence of Curry sentences or fiddling with the unrestricted T-schema (or naive abstraction).
Indeed, for every intuitively nonexistent object that motivates Meinongianism Zeus, Pegasus, Santa Clause, and Ronald McDonald there is, by the naive abstraction principle, an object just like it but with additional the property of existing.
Any comprehensive theory of language has to give some sort account of the paradoxes (e.g., the liar, or Russell's, or etc).. Classical approaches tend to fiddle with the T-schema (or naive abstraction) or reject the existence of certain (paradoxical) sentences.
In this regard, for Schapiro, "naive painting" is "image painting" and "not abstraction or automatism or collage or expressionist formalism.
His own deceptively simple, almost naive pictures are the result of an ongoing quest for the abstraction and simplification of form and colour.
Like the liar paradox (e.g., 'this sentence is false') and Russell's paradox, Curry's paradox challenges familiar naive theories, including naive truth theory (unrestricted T-schema) and naive set theory (unrestricted axiom of abstraction), respectively.
Abstraction at the institution!
