Russell's Paradox

Set of all sets not containing themselves; central example motivating avoidance-based mathematical foundations.

Neighborhood — ranked by edge-count

paper

thinker

concept

Coalgebra
associated_with
Halting Problem
analogous_to
Undecidability of whether an arbitrary program halts, discussed as a self-referential limit of computation.
Liar Paradox
analogous_to
'This sentence is false'; unwound by Grim into a temporal oscillator via natural time.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Persistence Paradoxconcept0.785
Core logical paradox: if a species fails to change it dies; if it changes, it ceases to exist. Same applies to individuals.
paradox of robustnessconcept0.778
Robust traits enable underlying degeneracy and drift, contributing to intelligence ratchet.
The persistence paradoxquestion0.774
Core logical puzzle: if an agent does not change, it dies; if it changes, the self ceases to exist. Applies to all scales from organelles to evolutionary lineages.
Paradoxical Reasoning Taskmethod0.718
Set of 50 paradoxical prompts used in Experiment 4 to test whether self-referential state transfers to an unrelated behavioral domain
Bell's theoremconcept0.713
A result in quantum mechanics asserting deep connectedness in the fabric of space, cited as a theory touching on not-separateness.
Rice's Theoremconcept0.708
No general algorithm decides non-trivial semantic properties of self-modifying trajectories.
Prosocial Persona Paradoxconcept0.706
Central finding that P12 (High Conscientiousness + High Agreeableness) is among the safest personas under prompting but becomes the most dangerous under activation steering on Llama-3.1-8B
Experiment 4: Paradoxical Reasoning and State Transferconcept0.703
Tests whether self-referential processing state transfers to produce richer introspection on unrelated paradoxical reasoning tasks