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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'

Traditional term logic struggled to express relations [Engelbretsen]
Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen]
Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen]
Negating a predicate term and denying its unnegated version are quite different [Engelbretsen]
Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen]
Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen]
Existence and nonexistence are characteristics of the world, not of objects [Engelbretsen]
Facts are not in the world - they are properties of the world [Engelbretsen]
If facts are the truthmakers, they are not in the world [Engelbretsen]
There are no 'falsifying' facts, only an absence of truthmakers [Engelbretsen]
'Socrates is wise' denotes a sentence; 'that Socrates is wise' denotes a proposition [Engelbretsen]
Terms denote objects with properties, and statements denote the world with that property [Engelbretsen]
Logical syntax is actually close to surface linguistic form [Engelbretsen]
Individuals are arranged in inclusion categories that match our semantics [Engelbretsen]