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728 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
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Results for “distinction” 8 papers
Knowledge integrity. Ignorance audits, calibration and metascience Tagged papers: 58.
Cross‑Ratios as Universal Atoms of Meaning: A Projective‑Invariant Framework for Likelihood, Information, and Decision Theory
Dimensionless descriptors such as physical constants, likelihood ratios, and mutual information are central to inference across physics, statistics, and machine learning, yet they are vulnerable to changes of units, model parametrizations, or data distributions. This work bridges projective geometry…
Ontological Re‑Entry: What Can We Say Exists?
The re-entry problem asks which existence claims a finite-resource observer can legitimately make when its internal structure is projected back onto the world. Existing approaches lack a quantitative link between ontological commitments and physical limits. We fill this gap by (i) defining a…
What Makes a Measure “Genuinely Natural”? Bits, Nats, and the Audit of Naturalness Claims in Measurement, Information, and Language
The adjective “natural” is invoked across quantitative sciences to suggest privileged status for units, conventions, or datasets. This paper formalizes three explicit criteria for a measurement convention to be genuinely natural—ratio/relabeling invariance, additivity, and constant‑freedom—and…
The Consilience of the QNFO Keyword Taxonomy: Ultrametric Structure as a Testable Compression Prior
The QNFO research program spans seven domains — ultrametric physics, the laws of form, infomatics, paradigm engineering, consilience research, the QWAV platform, and interactive demos — and maintains a canonical keyword taxonomy of 335 terms used to scope external discovery. A recurring claim in the…
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…Meta-Pattern of Reification in Physics
The practice of physics, like all scientific inquiry, operates through a delicate interplay between the observable world and the conceptual frameworks we construct to understand it. At the heart of this interplay lies a persistent cognitive trap: the tendency to mistake our mathematical models,…
Reconstructive Ontology of Brouwerian Intuitionism
This study reconstructs the ontological foundations of Brouwerian intuitionism, arguing that the rejection of the principle of the excluded middle (PEM) is not a technical choice but a necessary consequence of the ur-intuition of time. Drawing on L.E.J. Brouwer’s primary texts from 1905 to 1948, we…
Re‑Founding Information: An Autaxic Ontological Framework with Quantitative Illustrations
The absence of a unified, ontologically grounded theory of information hampers interdisciplinary research, obscures the design of data‑centric technologies, and inflates costs in fields ranging from quantum physics to artificial intelligence. Existing syntactic accounts such as Shannon’s theory and…
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