Life, cognition and metabiology

Area of Science:

• Evolutionary Biology
• Mathematical Biology
• Information Theory

Background:

• Innate biological traits arise from evolution and natural selection.
• Natural selection acts as the 'coder' in this evolutionary process.
• This process is linked to the development of new mathematical frameworks.

Purpose of the Study:

• To explore the relationship between evolutionary processes and mathematical structures.
• To investigate how natural selection 'programs' biological information.
• To propose a mathematical framework for understanding intentional information theory.

Main Methods:

• Conceptual analysis linking evolutionary theory and mathematics.
• Exploration of non-standard models and non-standard analysis.
• Theoretical articulation of mathematical concepts for information theory.

Main Results:

• Natural selection is presented as the 'coder' in biological evolution.
• A correlation exists between evolutionary processes and the unfolding of new mathematics.
• Non-standard mathematical approaches offer a perspective on intentional information.

Conclusions:

• A new mathematics is necessary to describe evolutionary landscapes and meaning.
• Non-standard analysis provides tools for understanding intentional information.
• This interdisciplinary approach is crucial for advancing information theory.