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Results for “distinction” 4 papers
Category theory. Categories, functors and coalgebra Tagged papers: 38.
Number Systems as Stratified Distinction Operations: An Enclosure Hierarchy over the Mark
The conventional tower of number systems—$\mathbb{N}\subset\mathbb{Z}\subset\mathbb{Q}\subset\mathbb{R}\subset\mathbb{C}$—augmented by the $p$-adic fields $\mathbb{Q}_{p}$ and the adele ring $\mathbb{A}$ is usually presented as a sequence of completions without a unifying generative principle.…
The Boson/Fermion Distinction: Spin-Statistics as Structural Invariant
The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature, with the spin-statistics theorem as its iron law. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of…
The Void Is Not False: Recovering the Unmarked State in Logic from the Calculus of Indications
Boolean logic treats
falseas a primitive truth value, and classical set theory treats the empty set as a primitive object. This paper argues that both commit a foundational category error: they reify the void — the unmarked state before any distinction — into a member of the system. In the…Quantum Laws of Form
*Quantum information is not intrinsically fragile; we have been measuring it incorrectly. This monograph presents a radical re‑foundation of physics based on George Spencer‑Brown’s Laws of Form, strictly adhered to and extended into a Syntactic Token Calculus (STC). The framework generates…
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