Natural language and set-theoretic conception of natural number

Information-Theoretic Segmentation of Natural Language

We present computational experiments on language segmentation using a general information-theoretic cognitive model. We present a method which uses the statistical regularities of language to segment a continuous stream of symbols into “meaningful units” at a range of levels. Given a string of symbols—in the present approach, textual representations of phonemes—we attempt to find the syllables ...

Natural Number and Natural Geometry

concepts in general, and the concepts of natural number and geometry in particular, present a longstanding puzzle to the brain and cognitive sciences. Nevertheless, a rich array of studies in cognitive development, animal cognition, cognitive psychology, comparative cultural psychology, and cognitive neuroscience is providing clues that may lead to its solution. Four cognitive systems found in ...

Dresner BOOLEAN ALGEBRAS AND NATURAL LANGUAGE : A MEASUREMENT THEORETIC

An algebraic structure is a set with one or more operations defined on it. For example, the natural numbers with addition and multiplication are such a structure. An algebraic structure A is a Boolean algebra if it has two binary operations (∗ and +), one unary operation (∼), and two designated elements (0 and 1) such that for any x, y and z from A (x, y and z are variables whose domain is the ...

Boolean Algebras And Natural Language: A Measurement Theoretic Approach

Natural Language and Natural Selection

Many people have argued that the evolution of the human language faculty cannot be explained by Darwinian natural selection. Chomsky and Gould have suggested that language may have evolved as the by-product of selection for other abilities or as a consequence of as-yet unknown laws of growth and form. Others have argued that a biological specialization for grammar is incompatible with every ten...