Richard Campbell

The paper proposes a process-based model for an ontology that encompasses the emergence of process systems generated by increasingly complex levels of organization. Starting with a division of processes into those that are persistent and those that are fleeting, the model builds through a series of exclusive and exhaustive disjunctions. The crucial distinction is between those persistent and cohesive systems that are energy wells, and those that are far-from-equilibrium. The latter are necessarily open; they can persist only by interaction with their environments. Further distinctions, developed by means of the notions of self-maintenance and error detection, lead to the identification of complex biological organisms that are flexible learners, some of which are self-conscious and form themselves into social institutions. This model provides a non-reductive model for understanding human beings as both embodied and yet emergent. In particular, it provides a way of characterizing action as ‘metaphysically deep’, not an ontological embarrassment within an otherwise physicalist world.

Fractal geometry offers a new approach to describing the morphology of fern leaves. Traditional morphology is based on the Euclidean concept of shape as an area defined by a boundary. This approach has not proven successful with fern leaves because they are so elaborate. Fractal geometry treats forms as relationships between parts rather than as areas. In fern fronds there are often constant relationships between parts. Four fractal methodologies for describing these relations within leaves are explored in this paper. These include recursive line branching algorithms, iterated function systems (IFS), modifications of IFS, and L-systems. The methods are evaluated by comparing their results with measurements and appearances of various ferns. Fractal methods offer objective, quantifiable and succinct descriptions of fern-leaves. We conclude that fractal geometry offers simple descriptions of some elaborate fern shapes and that it will probably have application in investigating different aspects of ferns and other organisms.