If R can be reconstructed under stratified comprehension as a legitimate set within NF, then labeling R a 'proper class' reflects one axiomatic choice, not an ontologicalnecessity.
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Reconstructed(as used in describing how consciousness works)
Built or put back together again, often after the fact—suggesting the memory or awareness is being reassembled rather than being directly available.
Stratified comprehension(as used in set theory, particularly in the NF system)
A rule for creating sets that arranges elements in layers or levels to avoid logical contradictions (think of it as a safety system to prevent broken definitions).
proper class(If the iterative process never terminated, the union of all generated chains would form a proper class, contradicting the assumption that P is a set.)
A collection of sets that is too large to itself be a set in the relevant set-theoretic framework.