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Single Idea 11226
[filed under theme 2. Reason / D. Definition / 3. Types of Definition
]
Full Idea
A traditional definition requires that the definiendum contains the defined term, that definiendum and definiens are of the same logical category, and the definition is conservative (adding nothing new), and makes elimination possible.
Gist of Idea
Traditional definitions need: same category, mention of the term, and conservativeness and eliminability
Source
Anil Gupta (Definitions [2008], 2.4)
Book Ref
'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.13
The
12 ideas
from 'Definitions'
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11215
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Notable definitions have been of piety (Plato), God (Anselm), number (Frege), and truth (Tarski)
[Gupta]
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11216
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If definitions aim at different ideals, then defining essence is not a unitary activity
[Gupta]
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11217
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Chemists aim at real definition of things; lexicographers aim at nominal definition of usage
[Gupta]
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11220
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Ostensive definitions look simple, but are complex and barely explicable
[Gupta]
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11218
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Stipulative definition assigns meaning to a term, ignoring prior meanings
[Gupta]
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11221
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A definition can be 'extensionally', 'intensionally' or 'sense' adequate
[Gupta]
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11222
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The ordered pair <x,y> is defined as the set {{x},{x,y}}, capturing function, not meaning
[Gupta]
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11223
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Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens'
[Gupta]
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11224
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Traditional definitions are general identities, which are sentential and reductive
[Gupta]
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11226
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Traditional definitions need: same category, mention of the term, and conservativeness and eliminability
[Gupta]
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11225
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A definition needs to apply to the same object across possible worlds
[Gupta]
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11227
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The 'revision theory' says that definitions are rules for improving output
[Gupta]
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