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fxyz Network

/grounding · receipts

Fundamentación

La literatura que respalda el canon. Nada de esto es original de ƒxyz; la síntesis sí lo es.

Referencias
029
Secciones
05

El grafo

K_N es lo absoluto. E8 es su sustrato geométrico. La proyección de Petrie es la representación canónica.

  1. 001
    Coxeter, H. S. M.·1973
    Regular Polytopes
    Dover, 3rd ed.
    Petrie projection, Coxeter number h=30; foundational reference for the E8 → H4 × φH4 fold
  2. 002
    Koca, M.; Al-Ajmi, M.; Koca, N. O.·2012
    Group-theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions
    arXiv:1204.4567
    Canonical 600-cell stereographic Schlegel projection used by the Mandala dual-shell rendering
  3. 003
    Conway, J. H.; Sloane, N. J. A.·1999
    Sphere Packings, Lattices and Groups
    Springer-Verlag, 3rd ed.
    E8 root system, 240 roots in ℝ⁸

Reino / dominio / territorio

Three-deep ontic containment. Bourdieu nested fields, Smith-Varzi fiat boundary, Padgett-Ansell multiplex sociology: predates physics-style multilayer-network theory by 21 years.

  1. 004
    Bourdieu, P.; Wacquant, L.·1992
    An Invitation to Reflexive Sociology
    University of Chicago Press
    Nested fields: field of power ⊃ field ⊃ sub-field
  2. 005
    Bourdieu, P.·1986
    The Forms of Capital
    in Richardson (ed.), Handbook of Theory and Research for the Sociology of Education
  3. 006
    Sack, R. D.·1986
    Human Territoriality: Its Theory and History
    Cambridge University Press
  4. 007
    Smith, B.; Varzi, A. C.·1997
    Fiat and Bona Fide Boundaries
    Philosophy and Phenomenological Research 60(2)
  5. 008
    Padgett, J. F.; Ansell, C. K.·1993
    Robust Action and the Rise of the Medici, 1400–1434
    American Journal of Sociology 98(6)
    Multiplex with 9 tie types over 92 families, 21 years before Kivelä
  6. 009
    Mitchell, J. C. (ed.)·1969
    Social Networks in Urban Situations
    Manchester University Press
    Manchester School multi-stranded ties
  7. 010
    Floridi, L.·2008
    The Method of Levels of Abstraction
    Minds and Machines 18(3)
    Method-relative LoA: anchor for canon §0 apophatic frame
  8. 011
    List, C.·2019
    Levels: Descriptive, Explanatory, and Ontological
    Noûs 53(4)
    Mixed-register chain defense

Capa / dimensión / perspectiva + aspecto

Tres ejes ortogonales dentro de cualquier territorio, además del aspecto como metaeje. El eje de variación paralelo de Kivelä; el «ver como» de Wittgenstein; las cuatro preguntas de Tinbergen; la perspectiva de Wimsatt.

  1. 012
    Kivelä, M.; Arenas, A.; Barthélemy, M.; Gleeson, J.; Moreno, Y.; Porter, M.·2014
    Multilayer Networks
    Journal of Complex Networks 2(3)
    Aspect = parallel axis-of-variation indexing elementary layers
  2. 013
    Tinbergen, N.·1963
    On Aims and Methods of Ethology
    Zeitschrift für Tierpsychologie 20
    Four independent explanatory questions = aspect-as-meta
  3. 014
    Wittgenstein, L.·1953
    Philosophical Investigations II.xi
    Aspect-seeing (seeing-as)
  4. 015
    Wimsatt, W. C.·1994
    The Ontology of Complex Systems: Levels of Organization, Perspectives, and Causal Thickets
    Canadian Journal of Philosophy Suppl. Vol. 20
    Perspective when part-whole becomes too intricate for clean levels
  5. 016
    Mac Lane, S.; Moerdijk, I.·1992
    Sheaves in Geometry and Logic
    Springer-Verlag
    Sheaf section formalism for perspective
  6. 017
    Dennett, D. C.·1987
    The Intentional Stance
    MIT Press
  7. 018
    Lefebvre, H.·1974
    La production de l'espace
    (Eng. The Production of Space, 1991)
    Perceived/conceived/lived (vécu): non-hierarchical triad
  8. 019
    Buckingham, E.·1914
    On Physically Similar Systems; Illustrations of the Use of Dimensional Equations
    Physical Review 4(4)
  9. 020
    Slater, P. J.·1975
    Leaves of trees
    Proc. 6th Southeastern Conf. on Combinatorics, Graph Theory and Computing
    Metric dimension
  10. 021
    Aristotle·ca. 350 BCE
    Categories
    Parallel highest-kinds: categorial test for the chain

Lo que no afirmamos

fxyz canon is mixed-register (Christian List 2019). It engages with anti-stratal positions: DeLanda, Latour, Kim: rather than dismissing them.

  1. 022
    DeLanda, M.·2006
    A New Philosophy of Society: Assemblage Theory and Social Complexity
    Continuum
    Flat ontology
  2. 023
    Latour, B.·2005
    Reassembling the Social: An Introduction to Actor-Network-Theory
    Oxford University Press
    How to keep the social flat
  3. 024
    Kim, J.·1998
    Mind in a Physical World
    MIT Press
    Non-reductive physicalism collapse argument
  4. 025
    Merleau-Ponty, M.·1964
    Le visible et l'invisible
    Trans-stratal flesh: medium, not level
  5. 026
    Harman, G.·2011
    The Quadruple Object
    Zero Books
    OOO: co-equal poles, no fundamental

Síntesis de ocho dominios

La pasada de fundamentación profunda del 2026-04-28: ~270 KB repartidos en 8 informes, ~125 citas primarias. La síntesis vive en el canon.

  1. 027
    fxyz canon·2026-04-28
    Layer + Aspect Deep Grounding: 8-Domain Synthesis
    thoughts/grounding-rewrite-2026-04-27/SYNTHESIS-DEEP-2026-04-28.md
    ~270 KB across 8 reports, ~125 primary citations
  2. 028
    fxyz canon·2026-04-28
    Multiplex Ontology: Canonical Reference v3.1
    docs/canon/multiplex-ontology.md
    3+3 tree: realm⊃domain⊃territory + axes (layer/dimension/perspective) + aspect meta
  3. 029
    fxyz canon·2026-04-28
    Multiplex Terminology v3.0
    .claude/rules/multiplex-terminology.md
    Locked vocabulary; aspect-as-Kivelä-axis vs AOP-aspect vs Comrie-aspect resolved

Cadena de registro mixto según Christian List (2019): reino / dominio / territorio son ónticos; capa / dimensión son analíticas; la perspectiva es hermenéutica; el aspecto es formal-categorial.