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Single Idea 19140

[filed under theme 5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction ]

Full Idea

We can think of 'satisfaction' as a generalised form of reference.

Gist of Idea

'Satisfaction' is a generalised form of reference

Source

Donald Davidson (Truth and Predication [2005], 2)

Book Ref

Davidson,Donald: 'Truth and Predication' [Belknap Harvard 2005], p.30


A Reaction

Just the sort of simple point we novices need from the great minds, to help us see what is going on. One day someone is going to explain Tarski's account of truth in plain English, but probably not in my lifetime.


The 12 ideas with the same theme [evaluating as True after all truth assignments are made]:

A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski]
Satisfaction is the easiest semantical concept to define, and the others will reduce to it [Tarski]
'Satisfaction' is a generalised form of reference [Davidson]
A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton]
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
An open sentence is satisfied if the object possess that property [Kirkham]
'Satisfaction' is a function from models, assignments, and formulas to {true,false} [Shapiro]
A sentence is 'satisfiable' if it has a model [Shapiro]
Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess]
A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo]
Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo]
Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten]