Bound-State Beta Decay of $\mathbf{\mathrm{^{205}{Tl}^{81+}}}$ Ions and the LOREX Project

Bound-State Beta Decay of $\mathbf{\mathrm{^{205}{Tl}^{81+}}}$ Ions and the LOREX Project

Summary

The text discusses the concept of community standards in relation to good faith terminations, emphasizing that such standards are defined by societal norms of decency and fairness. It introduces a model for aggregating individual judgments represented as intervals, exploring the implications of strategyproofness and the characteristics of endpoint rules in decision-making processes.

Highlights

  • Community standards are defined by societal norms of decency and fairness.
  • Obscene speech can be criminalized based on contemporary community standards.
  • A model of community standards represents judgments as intervals.
  • The p,q-th endpoint rule aggregates intervals based on their endpoints.
  • Strategyproofness requires restrictions on allowable preferences.
  • Generalized single-peaked preferences are crucial for understanding interval aggregation.
  • Endpoint rules satisfy multiple axioms including responsiveness and anonymity.

Key Insights

  • Community Standards: The concept serves as a flexible framework for evaluating behavior, allowing for variability over time and context, which is essential in legal and social settings.
  • Interval Representation: Judgments as intervals offer a nuanced approach to aggregation, acknowledging the complexity of individual opinions rather than reducing them to single points.
  • Endpoint Rules: These rules provide a systematic method for aggregating judgments while maintaining independence between upper and lower endpoints, which can enhance decision-making efficiency.
  • Strategyproofness: This property ensures that individuals cannot benefit from misrepresenting their preferences, promoting honest participation in collective decision-making.
  • Generalized Single-Peaked Preferences: This concept expands traditional single-peaked preferences, allowing for a broader application in social choice theory, particularly in interval settings.
  • Axiomatic Foundations: The framework relies on several axioms, ensuring that aggregation methods are fair and consistent, thereby increasing their legitimacy in social contexts.
  • Implications for Community Standards: The model suggests that community standards can evolve as individuals adjust their preferences, highlighting the dynamic nature of societal norms and their impact on collective decisions.

Mindmap

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Citation

Miller, A. D. (2025). The limits of tolerance (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2501.00578

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