Sentence examples for infinite extensions from inspiring English sources

By way of this confusion "a difference in kind" (i.e., unlimited rule vs. finite extension) "is represented by a skew form of expression," namely as a difference in the cardinality of two infinite extensions.

Not only can the diagonal not prove that one infinite set is greater in cardinality than another infinite set, according to Wittgenstein, nothing could prove this, simply because "infinite sets" are not extensions, and hence not infinite extensions.

We are to imagine hypothetical infinite extensions of an actual sequence of trials; probabilities are then what the limiting relative frequencies would be if the sequence were so extended.

If we try to apply Dedekind's definition as a criterion for determining whether a given set is infinite by establishing a 1 1 correspondence between two inductive rules for generating "infinite extensions," one of which is an "extensional subset" of the other, we can't possibly learn anything we didn't already know when we applied the 'criterion' to two inductive rules.

Axons in the frame or at the (dashed) inclusion lines were counted provided that they do not in any way touch the (solid) exclusion lines or their infinite extensions.

The passion for numerology, combined with the inner drive of allegory toward infinite extension, led to a proliferation of levels.

Her white tubular "glyph" sculptures, while all curves, imply infinite extension in their own way, while breathing new, gently irreverent life into generic public-art abstraction.

But these are all correct usages of the word 'poor ' while it's not of infinite extension, it doesn't have a sharp edge.

When Cézanne spoke about being faithful to the "motif", faithful to nature, what he had in mind, I think, was the fidelity of an unbroken embrace between his perception and the continuous, infinite extension of everything in front of him.

The grid is a living, growing thing; the artwork as a frame for another artwork and the fragment that implies infinite extension play out in pieces using concrete, brass, glass, powdered steel, I-beams and a large and beautiful chunk of petrified tree trunk.

Therefore, the premise that gave rise to the contradictions, namely, an actually infinite extension could exist, must be rejected.