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Related Experiment Video
Updated: Dec 14, 2025
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RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans
Published on: July 17, 2021
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Relational biology and Church's thesis.
186 Dagmar Avenue, Ottawa, ON, K1L 5T4, Canada.
Bio Systems
|July 17, 2020
Summary
Church's Thesis, a hypothesis on computability, is challenged by relational biology. The existence of living systems suggests that not all natural processes are computable, implying the thesis is false in the physical world.
Area of Science:
- Foundations of Mathematics
- Theoretical Biology
- Metamathematics
- Relational Biology
Background:
- Church's Thesis posits that effective calculability and computability are equivalent.
- The material world is often considered 'effective,' implying all processes could be syntactic.
- Relational biology introduces the concept that living systems require noncomputable models.
Purpose of the Study:
- To examine Church's Thesis from the perspective of relational biology.
- To determine if Church's Thesis holds true as a physical proposition.
- To explore the implications of living systems for computability in nature.
Main Methods:
- Review of the fundamental principles of relational biology.
Main Results:
- Living systems, as understood in relational biology, necessitate noncomputable models.
- The existence of such systems directly contradicts the universal applicability of Church's Thesis to the physical world.
- Material processes, if they encompass living systems, cannot be entirely expressed in purely syntactic terms.
Conclusions:
- Church's Thesis is false as a physical proposition.
- The existence of life demonstrates inherent noncomputability in the natural world.
- Relational biology provides a framework for understanding these limitations of computability.