Oldham Council

Gaps in dilates of Bose sets, moments of dilated Singer sets, and the excess in Erdős's Sidon problem: numerical evidence

Let h(N) be the maximal size of a Sidon set in {1,...,N}. Erdős asked whether h(N) = N^{1/2} + O(1) (Guy C9); the weaker question h(N) = N^{1/2} + O(N^ε) is Erdős problem #30, and the evidence here concerns the O(1) question only. Following a dilation idea, we study the largest c...

When is a talent decision implemented? A two-condition test for HR leaders

Purpose Talent decisions are usually marked complete when the administrative transaction closes. This paper aims to ask a different question: Has the organisation put the associated work change into operation? Design/methodology/approach The paper brings together selected work on...

From Representation to Enactment: The ABC Framework of the Translating Mind

Building on the third-wave extended-mind (EM) theory and radical enactivism, this article suggests a novel view on the translating mind. We build on the ABC framework, in which translation is not understood as the manipulation of static interlingual correspondences but an enacted...

A Temporal-Error State Architecture for Long-Horizon AI Agents

This record contains a research architecture proposal and evaluation protocol for the Temporal-Episodic Agent Architecture (TEAA), focused on long-horizon AI agents that must reason under deadlines, estimate task completion time, and adapt after execution failures. The proposed a...

Corrigibility and Continuity: A Philosophical Account of Temporally Constrained Revision

Possessing a capacity for revision does not establish that its exercise remains possible in an episode where correction matters. A system may detect discordance, generate alternatives, or modify a policy while lacking the time or resources required for those operations to preserv...

After Parity

An American lead in artificial intelligence may be a strategic objective. It cannot also be the condition under which an international safety regime remains intelligible. This paper distinguishes three arrangements often conflated in the debate: commitments explicitly conditioned...

After Parity

An American lead in artificial intelligence may be a strategic objective. It cannot also be the condition under which an international safety regime remains intelligible. This paper distinguishes three arrangements often conflated in the debate: commitments explicitly conditioned...

Structure-Survival Tool-Space Compression: Causal Repair of Hard Dependency Injection in Tool Retrieval

This work investigates structure-survival tool-space compression for tool retrieval and analyzes a failure mode caused by hard dependency injection. Across 5,114 held-out TaskBench tasks from three domains and four retrieval budgets, hard dependency insertion systematically degra...

After Parity

An American lead in artificial intelligence may be a strategic objective. It cannot also be the condition under which an international safety regime remains intelligible. This paper distinguishes three arrangements often conflated in the debate: commitments explicitly conditioned...

We Said We Would Engage All of Society: Six voices on the AI threshold, and the evidence public authority needs

On September 29, 2026, Bill Gates told Ezra Klein that the artificial intelligence (AI) industry had promised to engage all of society once dangerous capability thresholds were crossed, and that the response had been “complete silence.” This review tests that complaint against se...

We Said We Would Engage All of Society: Six voices on the AI threshold, and the evidence public authority needs

On September 29, 2026, Bill Gates told Ezra Klein that the artificial intelligence (AI) industry had promised to engage all of society once dangerous capability thresholds were crossed, and that the response had been “complete silence.” This review tests that complaint against se...

Barriers to Emergency Healthcare Access in Ethiopia: Understanding Transportation, Communication, and Emergency Response

This literature review examines barriers to emergency healthcare access in Ethiopia, with particular attention to transportation, communication, road infrastructure, ambulance utilization, and pre-hospital emergency care. It reviews evidence from studies of emergency medical serv...

Exact and Certified Tail Computation for Walsh Interaction-Order Energies

Paper-3 develops an exact and reproducible method for computing difficult tail probabilities of Walsh interaction-order energies on the Boolean cube. This work is part of a three-paper progression: Paper-1 — Exact Permutation Moments: derives exact finite-sample mean, variance, a...

Boundary-to-Bridge Constructive Doctrine for Human–AI Governance: Authority, Graph Evidence, Provenance, and Trust-Root Prelock

This working paper and technical release package presents the terminal prelock state of BIT-AI-HUMAN-CONSTRUCTIVE-DOCTRINE-001, a Boundary Information Theory (BIT) framework for turning separation firewalls into typed constructive bridges between human reference semantics, AI aut...

Exact Finite-Sample Permutation Moments for Walsh Interaction-Order Energies

WHAT THIS PACKAGE DOES This package goes with the revised Paper-1 manuscript "Exact Finite-Sample Permutation Moments for Walsh Interaction-Order Energies: A Projector Specialization of Quadratic-Form Randomization Theory" (v1.1). It contains the full open-source code, exhaustive...

The invisible hands that stay: Recognition of the relational labour of research assistants and community researchers

Literature has shown how the assistants, brokers and facilitating researchers whose labour sustains field research routinely go uncredited, but this scholarship has mostly examined research conducted by Global North institutions in the Global South. Less is known about how the sa...

Currentness Under Conflicting Agent State: A 24-Case Conformance Suite Beyond Latest-Write-Wins

Long-lived agents routinely accumulate several records about the same fact, yet the most recent write is not necessarily the current truth. This technical note defines a small executable currentness contract over stable subject identity, scope, valid time, provenance/admissibilit...

Long-Term Assessment of Polychlorinated Dibenzo-p-dioxins and Dibenzofurans (PCDD/Fs) and Polychlorinated Biphenyls (PCBs) in the Ambient Air of Brescia, Northern Italy

From April 2015 through August 2022 levels of polychlorinated dibenzo-p-dioxins and dibenzofurans (PCDD/Fs) and polychlorinated biphenyls (PCBs) were measured in ambient air (particulate and gas phases) at an urban site in Brescia, northern Italy. A total of 75 monthly samples (f...

Existential Clinical Psychology—Subjectivity, Meaning, and Action

This preprint presents a theoretical framework for existential clinical psychology organized around subjectivity, meaning, and action. It distinguishes symptom control from the restoration of existential agency and proposes the concept of adaptive finite freedom: freedom belongs...

Understanding the Nature of Science (NOS): Insights from Pre-Service Teachers’ Engagement with Scientific Biographies

The comprehension of the nature of science (NOS) is increasingly recognised as a crucial element of science education, and many countries have incorporated NOS-related elements into their national curricula. This development underscores the need to adequately prepare teachers to...