Sapi-Sapian, Contextualizing Mathematical Concepts Through Cultural Tradition

Contextualizing concepts using a mathematical generalization of the quantum formalism

We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and combined to generate meaning. The quantum formalism was developed to cope with problems arising in the description of (1) the measurement process, and (2) th...

Contextualizing Concepts

The mathematics of quantum mechanics was developed to cope with problems arising in the description of (1) contextual interactions, and (2) the generation of new states with new properties when particles become entangled. Similar problems arise with concepts. This paper summarizes the rationale for and preliminary results of using a generalization of standard quantum mechanics based on the latt...

PLUM: Contextualizing News For Communities Through Augmentation

The transition of print media into a digital form allows the tailoring of news for different audiences. This thesis presents a new approach to tailoring called augmenting. Augmenting makes articles more informative and relevant to the reader. The PLUM system augments news on world-wide natural disasters that readers often find remote and irrelevant. Using community profiles, PLUM automatically ...

Mathematical Concepts and Definitions

I Definition and Mathematical Practice The basic observation structuring this survey is that mathematicians often set finding the “right” / “proper” / “correct” / “natural” definition as a research objective, and success finding “the proper” definition can be counted as a significant advance in knowledge. Remarks like these from a retrospective on twentieth century algebraic geometry are common:

Indo-Portuguese Quilting Tradition: The Cross-Cultural Context