Naive Set Theory¶
Halmos, P. R. (1958). Naive Set Theory.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Idempotence
- .
This sourceD. Van Nostrand Company. Chapter on closure operators establishes `cl(cl(X)) = cl(X)` as idempotent operation in set theory. (Foundational reference for closure operators as idempotent; accessible formulation for mathematical audiences.)
- .
- Transformation
- At its core, a transformation encodes: input → rule → output, where the rule defines both what is preserved (invariants) and what is altered (the degrees of freedom being reshaped), as Halmos (1958) formalizes for finite-dimensional vector spaces.
This sourceD. Van Nostrand Company. Chapter on closure operators establishes `cl(cl(X)) = cl(X)` as idempotent operation in set theory. (Foundational reference for closure operators as idempotent; accessible formulation for mathematical audiences.)
- At its core, a transformation encodes: input → rule → output, where the rule defines both what is preserved (invariants) and what is altered (the degrees of freedom being reshaped), as Halmos (1958) formalizes for finite-dimensional vector spaces.
Verification¶
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Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.
Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
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Registry ID ref:279d571606dd · see in the full table