Infinity and Vagueness

Sanford, David H.

doi:10.2307/2183852

Cited by 14 publications

(7 citation statements)

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“…209-212) who follows Black (1988). Another account of the general structure of regress arguments along similar lines is given by Sanford (1975). I have modified Post's formulation of the problem somewhat.…”

Section: Two Versionsmentioning

confidence: 99%

The epistemic regress problem

Cling

2007

Philos Stud

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The best extant statement of the epistemic regress problem makes assumptions that are too strong. An improved version assumes only that that reasons require support, that no proposition is supported only by endless regresses of reasons, and that some proposition is supported. These assumptions are individually plausible but jointly inconsistent. Attempts to explain support by means of unconceptualized sensations, contextually immunized propositions, endless regresses, and holistic coherence all require either additional reasons or an external condition on support that is arbitrary from the believer's own point of view.[I]t is not possible to untie a knot which one does not know.

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Section: Two Versionsmentioning

confidence: 99%

The epistemic regress problem

Cling

2007

Philos Stud

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“…If Hi (n , rn) = ea( F ( n ) , F ( rn)) is an inner-expanded model , ( 15) becomes Since F ( n ) (1 -a) > A} is finite. Let K be the maximum of 14) is not true in the model A4 6…”

Section: P R O P O S I T I O N 6 Let F ( N ) = N 2 Then T H E F Mmentioning

confidence: 99%

“…Also, an interesting analysis of the connection between infinity and fuzziness was exposed by D. H . SANFORD in [6].…”

Section: Introductionmentioning

confidence: 99%

Grasping Infinity by Finite Sets

Formato

Gerla

1998

Mathematical Logic Qtrly

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“…(It is easy to generalize this account to cover any number of mutually independent predicates.) Consider two predicates that satisfy this 6 The following articles discuss sorites arguments with philosophical content: Sanford, 1975b treats the infinite extent and infinite divisibility of space and time. Sanford, 1977 briefly treats the conflict alleged by Sellars between the manifest and scientific images with respect to granularity.…”

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confidence: 99%

“…Sanford, 1979 confronts Peter Unger's Problem of the Many. Sanford, 1984 applies the treatment of Sanford, 1975b to arguments for the existence of something desired for its own sake. requirement, "More than five feet tall and less than six feet tall," "More than five feet five inches tall and less than six feet six."…”

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confidence: 99%

Vague numbers

Sanford

2002

Acta Analytica

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Vague NumbersIf there are vague numbers, it would be easier to use numbers as semantic values in a treatment of vagueness while avoiding precise cut-off points. When we assign a particular statement a range of values (less than 1 and greater than O) there is no precise sharp cut-off point that locates the greatest lower bound or the least upper bound of the interval, I should like to say. Is this possible? "Vague Numbers" stands for awareness of the problem. I do not present a serious theory of vague numbers. I sketch some reasons for using a many-value semantics. These reasons refer to my earlier treatments of determinacy and definitions of higher-order borderline cases. I also sketch how definitions of independence use the determinacy operator. The distinction between actually assigned values and values whose assignments are acceptable helps avoid unwanted precise cut-off points.

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Infinity and Vagueness

Cited by 14 publications

References 0 publications

The epistemic regress problem

The epistemic regress problem

Grasping Infinity by Finite Sets

Vague numbers

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