Mathematics is not a guarantor of truth but a language for describing structure; the mathematical concepts function as lenses, not guarantors of correctness.

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

• Mathematical truths are causal (not merely descriptive), satisfying counterfactual and explanatory criteria of causationclaim0.789
  Supports treating Platonic patterns as genuinely causal rather than epiphenomenal descriptions.
• Concepts are not just subjective mental constructs, but are objective features of a system's design: increments of functionality that were consciously introduced by a designer to serve particular purposes.concept0.762
  Central definition from the abstract.
• Computation is a game of empowerment and, therefore, the investment in opening the design process remains a critical challenge for contemporary architecture.claim0.760
  Final normative claim: computation’s nature as a game demands architectural openness, a challenge yet to be met.
• The structures where life occurs just cannot be made in any other way — it is a categorical and mathematical must.claim0.757
• This structural resonance does not mean mathematics proves Buddhism; it shows that human intelligence approaching the same structural truth from different directions can produce overlapping contours.claim0.756
  Closing epistemic disclaimer distinguishing structural resonance from proof.
• Much of what is written by philosophers of science is either false or incomplete because they do not take account of the implications of Schrödinger's ideas for chemistry and biology.claim0.749
  Sloman's broad methodological critique of philosophy of science.
• We hypothesize that explicitly instructing the model to evaluate the correctness of the given statement may change the geometry of truth directions.hypothesis0.748
  Motivating hypothesis for Section 5's investigation of prompt template effects.
• Every correspondence between mathematical and Buddhist concepts is stated explicitly, maintaining the distinction between 'is similar to' and 'is identical to'.claim0.747
  Proposition 2, guarding against conflating analogy with identity.