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Single Idea 11223

[filed under theme 2. Reason / D. Definition / 1. Definitions ]

Full Idea

Many definitions have three elements: the term that is defined, an expression containing the defined term (the 'definiendum'), and another expression (the 'definiens') that is equated by the definition with this expression.

Gist of Idea

Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens'

Source

Anil Gupta (Definitions [2008], 2)

Book Ref

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.6


A Reaction

He notes that the definiendum and the definiens are assumed to be in the 'same logical category', which is a right can of worms.


The 12 ideas from 'Definitions'

Notable definitions have been of piety (Plato), God (Anselm), number (Frege), and truth (Tarski) [Gupta]
If definitions aim at different ideals, then defining essence is not a unitary activity [Gupta]
Chemists aim at real definition of things; lexicographers aim at nominal definition of usage [Gupta]
Ostensive definitions look simple, but are complex and barely explicable [Gupta]
Stipulative definition assigns meaning to a term, ignoring prior meanings [Gupta]
A definition can be 'extensionally', 'intensionally' or 'sense' adequate [Gupta]
The ordered pair <x,y> is defined as the set {{x},{x,y}}, capturing function, not meaning [Gupta]
Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens' [Gupta]
Traditional definitions are general identities, which are sentential and reductive [Gupta]
Traditional definitions need: same category, mention of the term, and conservativeness and eliminability [Gupta]
A definition needs to apply to the same object across possible worlds [Gupta]
The 'revision theory' says that definitions are rules for improving output [Gupta]