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Single Idea 18908
[filed under theme 5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
]
Full Idea
Standard logic recognises only one kind of negation: sentential negation. Consequently, negation of a general term/predicate always amounts to negation of the entire sentence.
Gist of Idea
Standard logic only negates sentences, even via negated general terms or predicates
Source
George Engelbretsen (Trees, Terms and Truth [2005], 3)
Book Ref
'The Old New Logic', ed/tr. Oderberg,David S. [MIT 2005], p.33
Related Idea
Idea 18907
Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen]
The
14 ideas
from 'Trees, Terms and Truth'
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18913
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Traditional term logic struggled to express relations
[Engelbretsen]
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18906
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Negating a predicate term and denying its unnegated version are quite different
[Engelbretsen]
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18907
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Term logic rests on negated terms or denial, and that propositions are tied pairs
[Engelbretsen]
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18905
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Propositions can be analysed as pairs of terms glued together by predication
[Engelbretsen]
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18912
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Was logic a branch of mathematics, or mathematics a branch of logic?
[Engelbretsen]
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18908
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Standard logic only negates sentences, even via negated general terms or predicates
[Engelbretsen]
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18918
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Terms denote objects with properties, and statements denote the world with that property
[Engelbretsen]
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18915
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If facts are the truthmakers, they are not in the world
[Engelbretsen]
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18919
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There are no 'falsifying' facts, only an absence of truthmakers
[Engelbretsen]
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18917
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Existence and nonexistence are characteristics of the world, not of objects
[Engelbretsen]
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18916
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Facts are not in the world - they are properties of the world
[Engelbretsen]
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18920
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'Socrates is wise' denotes a sentence; 'that Socrates is wise' denotes a proposition
[Engelbretsen]
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18921
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Individuals are arranged in inclusion categories that match our semantics
[Engelbretsen]
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18922
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Logical syntax is actually close to surface linguistic form
[Engelbretsen]
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