Discrete Infinity

Some articles on discrete infinity, infinity:

Origin Of Language - Approaches
... data structures in the mind (the property of "discrete infinity", which appears to be unique to the human mind) ... which endowed the human mind with the property of discrete infinity, Chomsky argues, essentially amounts to a jump from being able to count up to N, where N is a fixed number, to being able ... formation of the language faculty in humans is akin to the formation of a crystal discrete infinity was the seed crystal in a super-saturated primate brain, on the verge of ...
Recursion in Language
... Recursion in linguistics enables 'discrete infinity' by embedding phrases within phrases of the same type in a hierarchical structure ... Without recursion, language does not have 'discrete infinity' and cannot embed sentences into infinity (with a 'Russian nesting doll' effect) ... Everett contests that language must have discrete infinity, and asserts that the Pirahã language — which he claims lacks recursion — is in fact finite ...

Famous quotes containing the words infinity and/or discrete:

    We must not suppose that, because a man is a rational animal, he will, therefore, always act rationally; or, because he has such or such a predominant passion, that he will act invariably and consequentially in pursuit of it. No, we are complicated machines; and though we have one main spring that gives motion to the whole, we have an infinity of little wheels, which, in their turns, retard, precipitate, and sometime stop that motion.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    The mastery of one’s phonemes may be compared to the violinist’s mastery of fingering. The violin string lends itself to a continuous gradation of tones, but the musician learns the discrete intervals at which to stop the string in order to play the conventional notes. We sound our phonemes like poor violinists, approximating each time to a fancied norm, and we receive our neighbor’s renderings indulgently, mentally rectifying the more glaring inaccuracies.
    W.V. Quine (b. 1908)