The neither-one-nor-many argument assumes that identity must be either strictly singular or strictly plural, but trope theory allows for numerically distinct yet qualitatively unified property-instances that escape this dilemma.

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Reasons For

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Reason for

1.Trope theory correctly identifies that resemblance between distinct particulars avoids the paradox of explaining unity without collapsing into identity.
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2.The classical dilemma conflates numerical distinctness with qualitative difference, but tropes are genuinely one without being absolutely unified.
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3.Empirically, multiple red instances exist as separate concrete entities yet share a unified quality, which trope theory elegantly accommodates.
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Reasons Against

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Reason against

1.Trope theory merely relocates the problem: if tropes are distinct yet qualitatively unified, what explains that unity if not a shared universal?
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2.The neither-one-nor-many argument shows genuine metaphysical impossibility, not merely a false dilemma—tropes cannot genuinely escape it.
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3.Numerical distinctness and qualitative unity are conceptually incompatible; calling something both doesn't resolve the contradiction, only obscures it.
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Key Terms

Identity(Adams treats identity statements as a variety of atomic formula rather than a logical truth exempt from existence presuppositions): A relation between an object and itself, expressed as an atomic formula (a=a), subject to the same existence-entailment conditions as other atomic predicates under GSA
dilemma(Used in classical rhetoric and logic; discussed by Valla in the context of the Protagoras–Euathlus lawsuit.): An argument structured so that two mutually exhaustive alternatives each independently entail the same conclusion, leaving the opponent no escape.
numerically distinct(Used to characterize the parts of the Form that must exist separately in each participant): Being distinct in the sense of being different individual tokens, not merely different in kind or quality.
property-instances(in trope theory): Individual examples of a quality or characteristic—like one specific occurrence of 'redness' in one particular apple.
qualitatively unified(in describing property-instances): Having the same qualities or characteristics throughout, so they seem like the same kind of thing even if they're technically separate.
strictly plural(describing a type of identity): Multiple separate things, each distinct and countable as individual items.
strictly singular(describing a type of identity): Exactly one thing, with no parts or divisions—completely unified as a single unit.
trope theory(in metaphysics): A philosophical view that the world is made up of particular instances of properties (like 'this specific shade of red') rather than just general categories or individual objects.

Connections

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Modality & Possibility1 linked Skepticism1 linked

All phenomena are empty of any intrinsic reality Empirically, multiple red instances exist as separate concrete entities yet shar...

Details

Type: claim
Perspectives: 2 (1 for, 1 against)
Edits: 1 edit