The Sorites paradox arises from problems with which concept?

Indeterminate future contingents

Self-reference in set membership

Vague predicates (e.g., 'heap')

Which resolution treats some paradoxical sentences as both true and false (accepting truth-value gluts)?

Classical extensional set theory

Dialetheism / paraconsistent logic

Truth-value gaps (e.g., supervaluationism)

Axiomatic set theory (e.g., Zermelo–Fraenkel)

Zeno's paradox (motion and division)

Russell's paradox (self-referential set membership)

The Liar paradox (self-referential sentence truth)

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01The Sorites paradox arises from problems with which concept?
02Which paradox is classically formulated using 'the set of all sets that do not contain themselves'?
03Which approach to vagueness asserts there is a sharp but unknowable cutoff for vague predicates (e.g., exactly when a heap stops being a heap)?
04Which philosopher/logician is credited with popularizing Russell's paradox in 1901 in correspondence with Frege?
05Which resolution treats some paradoxical sentences as both true and false (accepting truth-value gluts)?
06Which paradox is often illustrated by repeatedly removing a single grain from a heap until no grains remain, challenging where 'heap' ceases to apply?
07A standard formal response to the Liar paradox that rejects the law of bivalence while preserving classical logic is called what?
08Which classic resolution approach for Russell’s paradox modifies naive set comprehension by restricting which sets can be formed (e.g., via axioms)?
09The 'Barber paradox' is best described as a reformulation of which underlying logical problem?
10Which paradox is exemplified by the sentence 'This sentence is false'?