Piaget’s Theory gives a general overview on the cognitive development of a child from infancy to adulthood. There have been many arguments for and against the proposed timescale of cognitive learning versus the age of the child. We plan, via this work, to explore the learning capabilities of a child in pre-operational stage. The abstract concept of transitivity, which is not understood well by ...

We generalize the classical expected-utility criterion by weakening transitivity to the conjunction of transitive indifference and Suzumura consistency. In the absence of full transitivity, completeness no longer follows as a consequence of the system of axioms employed and a richer class of rankings of probability distributions results. This class is characterized by means of standard expected...

This paper describes an ongoing study which applies the concept of transitivity to news discourse for text processing tasks. The complex notion of transitivity is defined and the relationship between transi-tivity and information foregrounding is explained. A sample corpus of news articles has been coded for transitivity. The corpus is being used in two text processing experiments .

Light Warlpiri is a newly emerged Australian mixed language that systematically combines nominal structure from (Australian, Pama-Nyungan) with verbal Kriol (an English-lexified Creole) and English, additional innovations in the auxiliary system. Lexical items are drawn both two sources, English. The verb system interesting because of questions raised about how it elements its sources. Most ste...

The rationalizability of a choice function by means of a transitive relation has been analyzed thoroughly in the literature. However, not much seems to be known when transitivity is weakened to quasi-transitivity or acyclicity. We describe the logical relationships between the different notions of rationalizability involving, for example, the transitivity, quasi-transitivity, or acyclicity of t...

A general framework for studying the transitivity of reciprocal relations is presented. The key feature is the cyclic evaluation of transitivity: triangles (i.e. any three points) are visited in a cyclic manner. An upper bound function acting upon the ordered weights encountered provides an upper bound for the ‘sum minus 1’ of these weights. Commutative quasi-copulas allow to translate a genera...

Recent progress in symbolic dynamics of cellular automata (CA) shows that many CA exhibit rich and complicated Bernoulli-shift properties, such as positive topological entropy, topological transitivity and even mixing. Noticeably, some CA are only transitive, but not mixing on their subsystems. Yet, for one-dimensional CA, this paper proves that not only the shift transitivity guarantees the CA...

Our hypothesis is that certain clauses have foreground functions in text, while other clauses have background functions and that these functions are expressed or reflected in the syntactic structure of the clause. Presumably these clauses will have differing utility for automatic approaches to text understanding; a summarization system might want to utilize background clauses to capture commona...