Every correspondence between mathematical and Buddhist concepts is stated explicitly, maintaining the distinction between 'is similar to' and 'is identical to'.

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

• The degree of similarities which exist in a structure must correspond exactly to the degree of similarity of the conditions there, and the degrees of differences which exist in a structure must also correspond to the degrees of difference in the conditions there.claim0.820
  The profound principle that underlies all living structure; symmetry as the mathematical trace of necessity.
• The relationship between mind and body is the same as the relationship between causally instructive mathematical facts and physicshypothesis0.800
  Second core numbered hypothesis in the abstract; central analogy of the paper.
• 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.claim0.795
  Closing epistemic disclaimer distinguishing structural resonance from proof.
• Under these conditions, what is done next always has a natural and comfortable relation to what existed before: it has a similar structure and never violates the previously existing structure.claim0.790
  Characteristic of a structure-preserving process.
• The very same principles (positive space, alternating repetition, powerful centers) apply at every scale, from ornament to land and building structure.claim0.775
  Universality of the geometric principles across scales.
• The removal of such priors constitutes a formal counterpart to the Buddhist notion of emptiness realisation.claim0.775
  Direct equivalence claim between model reduction and enlightenment.
• The results are more widely applicable; similar results will come from asking people in other cultures to answer analogous questions.claim0.771
  Universalist claim predicting cross-cultural generality.
• The similarity of different mystical teachings—Christian, Zen, Mahayana, Tibetan, Tantric, Hopi, Cabalistic, Islamic, Taoist, Sufi—has been emphasized many times, and all point to a nameless ground.claim0.770
  The perennial philosophy claim, used to support the universality of the ground concept.