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Developing a Fundamental Theoretical Definition for Athletic Injury: Metaphysics, Logic, and Mathematics.

Judd T Kalkhoven1

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This study provides a new, robust definition for athletic injury using metaphysical analysis and logic. This clarifies the concept, improving scientific predictability and reproducibility in injury research.

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Area of Science:

  • Sports Medicine
  • Philosophy of Science
  • Biostatistics

Background:

  • Current definitions of athletic injury lack conceptual clarity and logical coherence.
  • Conflation with related constructs like pain and availability creates instability.
  • These deficiencies hinder the development of robust theoretical and operational frameworks.

Purpose of the Study:

  • To develop a scientifically robust, theoretically sound definition of athletic injury.
  • To establish necessary and sufficient conditions for defining athletic injury.
  • To create an integrative framework for mathematical modeling of athletic injuries.

Main Methods:

  • Systematic metaphysical analysis and Carnapian explication.
  • Application of Aristotelian essentialism and classical logic.
  • Utilisation of thought experiments, boundary tests, and deductive reasoning.

Main Results:

  • A new definition of athletic injury is proposed, based on logical analysis.
  • Distinction between essential and accidental properties of injury is clarified.
  • An integrative framework aligning theoretical, observational, and mathematical dimensions is established.

Conclusions:

  • The new definition enhances conceptual clarity and logical coherence for athletic injury.
  • The proposed framework supports formalization, enabling precise mathematical modeling and prediction.
  • This work advances the scientific assessment and modeling of athletic injuries and recovery.