The Event: An Underexamined Risk Concept

Area of Science:

• Risk Management and Analysis
• Probability Theory
• Linguistics

Background:

• Ambiguity in risk assessment terminology, particularly the term 'event,' hinders effective risk management.
• Existing textbook definitions of 'event' are often contradictory or misleading.
• Current mathematical definitions of 'event' are too narrow for practical risk assessment applications.

Purpose of the Study:

• To critique current definitions of 'event' in risk assessment literature.
• To explore the concept of 'event' within probability axioms and contemporary textbooks.
• To propose and advocate for linguistic definitions of 'event' in risk analysis.

Main Methods:

• Analysis of contemporary risk assessment and probability textbooks.
• Examination of A. N. Kolmogorov's probability axioms.
• Comparative analysis of mathematical versus linguistic definitions of 'event'.

Main Results:

• Identified significant inconsistencies and limitations in current textbook definitions of 'event.'
• Found mathematical definitions of 'event' to be inadequate for real-world risk assessment contexts.
• Demonstrated the prevalence and practical utility of linguistic definitions in actual risk analysis.

Conclusions:

• Current mathematical definitions of 'event' are insufficient for robust risk assessment.
• Linguistic definitions, rooted in natural language, represent the de facto standard for defining events in risk analysis.
• Adopting linguistic definitions will improve clarity and consistency in risk assessment and management.