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Single Idea 17702

[filed under theme 19. Language / D. Propositions / 3. Concrete Propositions ]

Full Idea

An unstructured proposition is a set of possible worlds. ....Structured propositions contain entities that correspond to various parts of the sentences or thoughts that express them.

Gist of Idea

Unstructured propositions are sets of possible worlds; structured ones have components

Source

Edwin D. Mares (A Priori [2011], 02.3)

Book Ref

Mares,Edwin: 'A Priori' [Acumen 2011], p.17


A Reaction

I am definitely in favour of structured propositions. It strikes me as so obvious as to be not worth discussion - so I am obviously missing something here. Mares says structured propositions are 'more convenient'.


The 27 ideas from Edwin D. Mares

The most popular view is that coherent beliefs explain one another [Mares]
Possible worlds semantics has a nice compositional account of modal statements [Mares]
Unstructured propositions are sets of possible worlds; structured ones have components [Mares]
Operationalism defines concepts by our ways of measuring them [Mares]
Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so [Mares]
Empiricists say rationalists mistake imaginative powers for modal insights [Mares]
The essence of a concept is either its definition or its conceptual relations? [Mares]
Maybe space has points, but processes always need regions with a size [Mares]
Aristotelian justification uses concepts abstracted from experience [Mares]
After 1903, Husserl avoids metaphysical commitments [Mares]
Aristotelians dislike the idea of a priori judgements from pure reason [Mares]
The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares]
Mathematics is relations between properties we abstract from experience [Mares]
Inconsistency doesn't prevent us reasoning about some system [Mares]
Standard disjunction and negation force us to accept the principle of bivalence [Mares]
The connectives are studied either through model theory or through proof theory [Mares]
Many-valued logics lack a natural deduction system [Mares]
Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares]
In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares]
Consistency is semantic, but non-contradiction is syntactic [Mares]
Three-valued logic is useful for a theory of presupposition [Mares]
For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares]
Intuitionist logic looks best as natural deduction [Mares]
Intuitionism as natural deduction has no rule for negation [Mares]
In 'situation semantics' our main concepts are abstracted from situations [Mares]
Situation semantics for logics: not possible worlds, but information in situations [Mares]
Material implication (and classical logic) considers nothing but truth values for implications [Mares]