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Experimental testing of constructivism and related theories
1Department of General Studies, Technion, Israel Institute of Technology, Haifa.
Summary
This study links left brain functions to analytic tasks like nominalism and ordinal math, and right brain functions to synthetic tasks like Platonism and cardinal math. Experimental methods can test these cerebral hemisphere cognitive construction theories.
Area of Science:
- Cognitive Neuroscience
- Philosophy of Mathematics
- Neuroscience
Background:
- The human brain's hemispheres exhibit specialized functions.
- Understanding the neural basis of abstract concepts like ontology and mathematics remains a challenge.
Purpose of the Study:
- To demonstrate how experimental methods can elucidate the cognitive constructions of ontology and mathematics.
- To link specific mathematical and ontological concepts to the analytic (left) and synthetic (right) functions of the cerebral hemispheres.
- To explore the relationship between hemispheric dominance and preferences for specific philosophical and mathematical frameworks.
Main Methods:
- Application of experimental scientific methods to cognitive functions.
- Analysis of the relationship between cerebral hemisphere mechanisms and abstract concept formation.
- Investigating Kantian modes of perceiving experience (temporal vs. spatial) in relation to hemispheric functions.
Main Results:
- Left hemisphere dominance correlates with nominalism and aptitude for ordinal mathematics.
- Right hemisphere dominance correlates with Platonism and aptitude for cardinal mathematics.
- Kantian temporal perception is linked to the left hemisphere, and spatial perception to the right hemisphere.
Conclusions:
- Cerebral hemispheric functions provide a framework for understanding the origins of mathematical and ontological concepts.
- The proposed hemispheric-conceptual links are experimentally testable.
- This research offers a potential pathway to experimentally validate Kantian constructivism.