Hasdai Crescas and the Geometry of Admissibility: A Possest–PQF Reconstruction with Hebrew Operator Terms

This paper offers a full-scale Possest–PQF reconstruction of Hasdai Crescas as an operator-level engineer of admissibility regimes. Instead of treating Crescas as an anti-Aristotelian curiosity or as a preparatory step toward Spinoza, the text reads Crescas’s moves as regime constraints: strong reason becomes closure (no admissible inclusion or exclusion without an account), actual infinity becomes unbounded admissibility resolution, and “attributes” become an atlas of expressibility rather than an enumerated list. The reconstruction introduces a membrane-like admissibility regime marked in Hebrew as משטר קבילות, a bounded-distortion update operator delta*, and a dynamical engine RI (Recursio Intensitatis) understood as cyclic regime reconfiguration that alters availability without restoration of sameness. A mathematical abstract formalizes “resolution without enumeration” by working over a refinement preorder (D, ≼) and an admissibility predicate A: D → {0,1}. For x ∈ D, admissible extensions Ext_A(x) are defined by refinements y with A(y)=1, and a resolution operator Res_A(x) is defined as the supremum of Ext_A(x) (when it exists in a completion). “Non-enumerative infinity” is characterized as the absence of maximal admissible extensions. The second half builds a technical bridge from Crescas to operator packages in Deleuze (Event-surface legibility), Goldberg (Elohim as law-like operational necessity), Simondon (metastability and transduction), Ruyer (immanent survey), and Fechner (scale-controlled, non-enumerative resolution), culminating in a six-constraint admissibility protocol for delta*. Hasdai Crescas; Or Adonai; Possest–PQF; admissibility regime; delta*; Recursio Intensitatis; actual infinity; non-enumerative resolution; refinement preorder; expressibility atlas; membrane; closure principle; Deleuze; Oskar Goldberg; Simondon; Ruyer; Fechner; Hebrew operator lexicon