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Single Idea 9045
[filed under theme 9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
]
Full Idea
Three interrelated features of vague predicates such as 'tall', 'red', 'heap', 'child' are that they have borderline cases (application is uncertain), they lack well-defined extensions (objects are uncertain), and they're susceptible to sorites paradoxes.
Gist of Idea
Vague predicates involve uncertain properties, uncertain objects, and paradoxes of gradual change
Source
R Keefe / P Smith (Intro: Theories of Vagueness [1997], §1)
Book Ref
'Vagueness: a Reader', ed/tr. Keefe,R /Smith,P [MIT 1999], p.2
A Reaction
The issue will partly depend on what you think an object is: choose from bundles of properties, total denial, essential substance, or featureless substance with properties. The fungal infection of vagueness could creep in at any point, even the words.
The
17 ideas
from 'Intro: Theories of Vagueness'
9044
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If someone is borderline tall, no further information is likely to resolve the question
[Keefe/Smith]
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9048
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The simplest approach, that vagueness is just ignorance, retains classical logic and semantics
[Keefe/Smith]
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9049
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Supervaluationism keeps true-or-false where precision can be produced, but not otherwise
[Keefe/Smith]
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9050
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A third truth-value at borderlines might be 'indeterminate', or a value somewhere between 0 and 1
[Keefe/Smith]
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9045
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Vague predicates involve uncertain properties, uncertain objects, and paradoxes of gradual change
[Keefe/Smith]
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9047
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Many vague predicates are multi-dimensional; 'big' involves height and volume; heaps include arrangement
[Keefe/Smith]
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9053
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If there is a precise borderline area, that is not a case of vagueness
[Keefe/Smith]
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9055
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The epistemic view of vagueness must explain why we don't know the predicate boundary
[Keefe/Smith]
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9056
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Vague statements lack truth value if attempts to make them precise fail
[Keefe/Smith]
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9058
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Some of the principles of classical logic still fail with supervaluationism
[Keefe/Smith]
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9059
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The semantics of supervaluation (e.g. disjunction and quantification) is not classical
[Keefe/Smith]
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9060
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Supervaluation misunderstands vagueness, treating it as a failure to make things precise
[Keefe/Smith]
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9061
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People can't be placed in a precise order according to how 'nice' they are
[Keefe/Smith]
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9062
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If truth-values for vagueness range from 0 to 1, there must be someone who is 'completely tall'
[Keefe/Smith]
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9063
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How do we decide if my coat is red to degree 0.322 or 0.321?
[Keefe/Smith]
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9065
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S5 collapses iterated modalities (◊□P→□P, and ◊◊P→◊P)
[Keefe/Smith]
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9064
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Objects such as a cloud or Mount Everest seem to have fuzzy boundaries in nature
[Keefe/Smith]
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