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Single Idea 14703

[filed under theme 10. Modality / A. Necessity / 3. Types of Necessity ]

Full Idea

If we have a 'fixedly' operator F, then a sentence is fixedly actually true if it is true no matter which world is designated as actual (which 'he actually won in 2008' fails to be). Maybe '□' is superficial necessity, and FA is 'deep' necessity.

Clarification

FA reads as 'Fixedly Actually'

Gist of Idea

Superficial necessity is true in all worlds; deep necessity is thus true, no matter which world is actual

Source

Laura Schroeter (Two-Dimensional Semantics [2010], 1.2.2)

Book Ref

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.11


A Reaction

Gareth Evans distinguishes 'deep' from 'superficial' necessity. Humberstone and others introduced 'F'. Presumably FA is deeper because it has to pass a tougher test.


The 19 ideas from 'Two-Dimensional Semantics'

Semantic theories show how truth of sentences depends on rules for interpreting and joining their parts [Schroeter]
Simple semantics assigns extensions to names and to predicates [Schroeter]
'Federer' and 'best tennis player' can't mean the same, despite having the same extension [Schroeter]
Possible worlds semantics uses 'intensions' - functions which assign extensions at each world [Schroeter]
Possible worlds make 'I' and that person's name synonymous, but they have different meanings [Schroeter]
Array worlds along the horizontal, and contexts (world,person,time) along the vertical [Schroeter]
If we introduce 'actually' into modal talk, we need possible worlds twice to express this [Schroeter]
Superficial necessity is true in all worlds; deep necessity is thus true, no matter which world is actual [Schroeter]
Do we know apriori how we refer to names and natural kinds, but their modal profiles only a posteriori? [Schroeter]
2D semantics gives us apriori knowledge of our own meanings [Schroeter]
Your view of water depends on whether you start from the actual Earth or its counterfactual Twin [Schroeter]
Rationalists say knowing an expression is identifying its extension using an internal cognitive state [Schroeter]
Possible worlds semantics implies a constitutive connection between meanings and modal claims [Schroeter]
2D fans defend it for conceptual analysis, for meaning, and for internalist reference [Schroeter]
Contradictory claims about a necessary god both seem apriori coherent [Schroeter]
2D semantics can't respond to contingent apriori claims, since there is no single proposition involved [Schroeter]
Internalist meaning is about understanding; externalist meaning is about embedding in a situation [Schroeter]
In the possible worlds account all necessary truths are same (because they all map to the True) [Schroeter]
Semantic theory assigns meanings to expressions, and metasemantics explains how this works [Schroeter]