Extension

In metaphysics, extension is the property of taking up space; see Extension (metaphysics).
In semantics (with applications to both philosophy and mathematics), extension is the set of things to which a property applies; see Extension (semantics).
In general semantics, extension is a process that, as in this mathematical example, starts with unique individuals, and gives them unique names, e.g., I, II, III, etc., or 1, 2, 3, etc. The next step if needed generalizes or passes beyond extension to infinite-valued higher-order abstractions like 'numbers', and so on. The passing from lower-order abstractions (presented extensionally) to higher orders, e.g., from '1, 2, 3, etc.,' to 'numbers,' is said to follow the 'natural order of evaluation,' so that when one talks about order, extension is implied, and when one talks about extension, order is implied. An example of reversed order is when a particular higher-order abstraction such as race, e.g., 'white', 'black' etc., is projected onto the individuals comprising it. The individuals (each uniquely different by extension, no matter what is being discussed) comprise the 'race' (which exists only on higher-orders), not the other way around. See extensional devices.
In mathematics, an extension of some structure is another structure which contains the original structure.
- For the extension of a group or algebra, see extension (algebra).
- For the extension of a field, see field extension.
- For the extension of a bounded linear operator, see continuous linear extension.
In physiology, extension is one of the movements of a joint such as the knee.
Extension (geology)
Extension (telephone)
In computing:
- For the programming concept, see extension (computing).
- For the Apple Mac OS implementation of operating system extensions, see Extension. For problems with same, see extension conflict.
- For the last part of a filename, see filename extension.
- Extension (Mozilla)
In community development, extension involves the building of community capacity by outsiders. Examples are health or agricultural extension. See extension agency.
Electricity and electronics: Extension cable.
Hair extensions are strands of human hair placed onto a persons hair in order to elongate or thicken existing hair.
In education, an extension course, program, or school is continuing education.

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