A Mathematical Science of Qualities: A Sequel

Relational biology and Church's thesis

Church's Thesis is a metamathematical hypothesis that says the concepts of effective calculability and computability are coextensive. It is reasonable to consider everything that happens in the material world to be 'effective'. If Church's Thesis were true in the natural world, then it would mean that all material processes could be expressed in purely syntactic terms. A corollary in relational biology is that a living system must have noncomputable models. Thus the existence of living systems implies that Church's Thesis is false as a physical proposition. The paper begins with a review of the tenets of relational biology, which is the standpoint from which this exposition on the Foundations of Mathematics and Theoretical Biology is composed.

Naturalizing Phenomenology: A Must Have?

Quite a few cognitive scientists are working toward a naturalization of phenomenology. Looking more closely at the relevant literature, however, the ‘naturalizing phenomenology’ proposals show the presence of different conceptions, assumptions, and formalisms, further differentiated by different philosophical and/or scientific concerns. This paper shows that the original Husserlian stance is deeper, clearer and more advanced than most supposed contemporary improvements. The recent achievements of experimental phenomenology show how to ‘naturalize’ phenomenology without destroying the guiding assumptions of phenomenology. The requirements grounding the scientific explanation of subjective experience are discussed, such as the nature of the stimuli, their variables, and their manipulation by properly phenomenological methods.