Consistent with my theoretical  interests, I published a series of peer-reviewed articles on some of my theoretical and/or methodological solutions to some of the puzzling problems that had attracted my attention. Such problems were of shared interests among disciplines such as biology [see Cognitive Evolution], the disciplines invested in the investigation of visual perception [see Visual Illusion] and the philosophy of mathematics and science [see Mathematics in Science]. I published my first theory in 2009 in "Perception" to explain classic geometric-optical illusions by introducing the empty space surrounding the line drawings of the configurations as a new variable within a unifying theoretical framework. Following publishing some theoretical analyses in 2015 and 2017 that were precursors to my second theory that I published in 2019 in "Philosophical Psychology" in response to the doubt cast by the Nobel laureate Eugene P. Wigner on the power of natural selection in explaining the effectiveness of our mathematical reasoning, presented in his well-known 1960 paper entitled "The unreasonable effectiveness of mathematics in the natural sciences". In this paper and inspired by Einstein's symmetry principle, I proposed a mechanism for the cognitive construction of mathematical reasoning over the course of evolution (and consequently during development) that was absent in Piaget's work. Finally, my third theory was published in 2024 in "Foundations of Science" to provide a 2D explanation of the mysterious moon illusion, and to take a small step towards a unified explanation of visual illusions either originated from line drawings on the 2D surface of a paper (i.e., classic geometric-optical illusions) or from spatial and size relations between a target object with other objects in a 3D space (i.e., the moon illusion). In addition, my contribution to scientific methodology includes epistemological/methodological analysis of comparative behaviour, the incorporation of first- and third-person methodology in psychopathology and analyzing the suitability of topology for the investigation of perception. My theoretical contributions have been described in more detail on the following pages, where some of their corresponding published articles can also be found in full pdf copies or full view-only versions in the following domains:

 

• Mathematics in Science:

 

1. A theoretical explanation of the effectiveness of mathematics as a matter of cognitive evolution published in 2019.

 

2. A theoretical analysis of the suitability of topology for the investigation of geometric-perceptual phenomena (e.g., the Müller-Lyer illusion) published in 2025.

 

• Comparative cognition:

 

1. Mathematical analyses in the context of comparative cognition published in 2015 and 2017.

 

2. A methodological formulation of anthropomorphism in the context of scientific activities published in 2023.

 

• Visual illusions:

 

1. A theoretical explanation of geometric-optical illusions published in 2009

 

2. A methodological analysis of investigations of the neural basis of geometric-optical illusions published in 2017

 

3. A theory of moon illusion published in 2024

 

4. A Methodological analysis of the obstacles for formulating mechanistic explanations in the context of psychopathology and suggesting a solution via incorporation of phenomenological methods into experimental psychopathology in 2023

 

In the past few years, I have been involved in pursuing my research projects and teaching undergraduate students in Toronto.

                                                                       

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