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Appendix D — Bibliography and Intellectual Debts

Fabio Ghioni · Copia del 2026-09-18

Appendix D — Bibliography and Intellectual Debts

Foundational Works (Technology of Expressions Programme)

  • Ghioni, F. Technology of Expressions: A Structural Approach to Meaning. Ordinative Sciences Press, 2025. — The foundational text. Contains equations 1.1–1.14, the Collapse Function, the Remir, the Semantic Derivative, Pulsation, Vertical Coherence.

  • Ghioni, F. Semantic Algebra: Foundations. Ordinative Sciences Press, 2026. — The SA operators S and π, the 7-layer architecture, the R-vocabulary, the ⟨𝓚⁵⟩ formula, the invariant library (ι₁–ι₁₀), the round-trip test.

  • Ghioni, F. Ordinative Set Theory v3.0. Working paper, 2026. — The ⟨Σ, R, Φ⟩ triple, vertical coherence, semantic inertia, causal inversion, pathological orders.

Predecessors and Points of Contact

General Systems Theory

  • von Bertalanffy, L. General System Theory: Foundations, Development, Applications. George Braziller, 1968. — The aspiration to unify the sciences through organisational principles. Formally vague but directionally correct.

Category Theory and Applied Category Theory

  • Eilenberg, S. and Mac Lane, S. "General Theory of Natural Equivalences." Transactions of the American Mathematical Society, 58(2):231–294, 1945. — The foundational paper of category theory.

  • Fong, B. and Spivak, D.I. An Invitation to Applied Category Theory: Seven Sketches in Compositionality. Cambridge University Press, 2019. — The closest formal predecessor to the PA in ambition. Demonstrates compositional structure across domains. Semantically silent.

  • Baez, J.C. and Stay, M. "Physics, Topology, Logic and Computation: A Rosetta Stone." In New Structures for Physics, Lecture Notes in Physics 813, Springer, 2011, pp. 95–172. — Cross-domain structural isomorphisms via category theory. Restricted to formal mathematical domains.

Structural Realism

  • Ladyman, J. "What Is Structural Realism?" Studies in History and Philosophy of Science, 29(3):409–424, 1998. — The philosophical position that relations are ontologically primary. Non-operational.

  • French, S. The Structure of the World: Metaphysics and Representation. Oxford University Press, 2014. — Ontic structural realism: objects are bundles of relations.

Proportional and Relational Thinking

  • Bridgman, P.W. Dimensional Analysis. Yale University Press, 1922. — The formal framework showing that physical laws are fundamentally about dimensionless ratios.

  • Dirac, P.A.M. "The Cosmological Constants." Nature, 139:323, 1937. — The argument that only dimensionless numbers are physically fundamental.

  • Einstein, A. "Die Grundlage der allgemeinen Relativitätstheorie." Annalen der Physik, 354(7):769–822, 1916. — No absolute space, no absolute time. The physics is in the relations.

Biological Proportions

  • Thompson, D.W. On Growth and Form. Cambridge University Press, 1917. — The foundational work on proportional relations in biological morphology.

Musical Proportions

  • Helmholtz, H. On the Sensations of Tone. Dover Publications, 1954 [1863]. — The proportional basis of consonance and dissonance.

Mathematics of Meaning

  • Yoneda, N. "On the Homology Theory of Modules." Journal of the Faculty of Science, University of Tokyo, 7:193–227, 1954. — The Yoneda Lemma: an object is determined by its relations. The mathematical expression of Axiom 0.

Philosophy of Proportion

  • Pythagoras / Pythagorean School. — All is number: the proportional relations governing music, geometry, and cosmic motion are one.

  • Goethe, J.W. The Metamorphosis of Plants. 1790. — All botanical forms are variations of a single proportional schema (the Urpflanze).

  • Leibniz, G.W. — The characteristica universalis: the aspiration to a universal formal language for all knowledge. Not achieved, but the aspiration is the PA's direct ancestor.

Works Informing Cross-Domain Demonstrations

Chemistry (Chapter 13)

  • Pauling, L. The Nature of the Chemical Bond. Cornell University Press, 1960.
  • Dalton, J. A New System of Chemical Philosophy. 1808. — The law of multiple proportions.

Language (Chapter 14)

  • Chomsky, N. Syntactic Structures. Mouton, 1957. — Hierarchical structure in language.
  • Jakobson, R. "Linguistics and Poetics." In Style in Language, ed. T. Sebeok, MIT Press, 1960.

Emotion (Chapter 15)

  • Damasio, A. The Feeling of What Happens. Harcourt, 1999.
  • Panksepp, J. Affective Neuroscience. Oxford University Press, 1998.

Medicine (Chapter 16)

  • Engel, G.L. "The Need for a New Medical Model: A Challenge for Biomedicine." Science, 196(4286):129–136, 1977. — The biopsychosocial model.

Artificial Intelligence (Chapter 17)

  • Vaswani, A. et al. "Attention Is All You Need." NeurIPS, 2017. — The Transformer architecture.

This bibliography is necessarily incomplete. The Proportional Algebra draws on work across many disciplines, and any list is a projection — a decoherent expression of a coherent field of intellectual debts. The invariant is gratitude.