Steven M. Rosen

This paper explores the meaning of time from three points of view: (1) David Bohm's concepts of "vertical implicate order" and "holomovement"; (2) Alfred North Whitehead's idea of the "actual occasion"; and (3) the author's notion of "nondual duality." The author argues that Bohm and Whitehead alike implicitly divide time into dual and nondual aspects and that, in failing to adequately reconcile these, time, in effect, is denied. The alternative offered seeks to thoroughly integrate dual and nondual (holistic) modalities in the understanding that time as becoming entails a dynamic interpenetration of its opposing aspects. Visual geometry and topology are employed to flesh out the "nondual duality" of temporal structure.

The premise of this paper is that the goal of signifying Being central to ontological phenomenology has been tacitly subverted by the semiotic structure of conventional phenomenological writing. First it is demonstrated that the three components of the sign—sign-vehicle, object, and interpretant (C. S. Peirce)—bear an external relationship to each other when treated conventionally. This is linked to the abstractness of alphabetic language, which objectifies nature and splits subject and object. It is the subject-object divide that phenomenology must surmount if it is to signify Being. To this end, we go beyond alphabetic convention and explore the use of iconic signs. Following the lead of Merleau-Ponty, the iconic expression of Being is seen as entailing paradox, and we are directed to the fields of visual geometry and topology, where we work with three paradoxical figures: the Necker cube, Moebius strip, and Klein bottle. While the Necker cube and Moebius prove to have their limitations in fully signifying Being, the Klein bottle, possessing an added dimension (made palpable via a stereogram), can embody Being more intimately, provided that it is approached in a radically non-classical way. The essay closes with the realization that the most concrete signification of Being must be a self-signification. Here the author removes his cloak of anonymity and makes his presence tangibly felt in the text.

The paper examines the philosophical implications of a phenomenon in the psychology of perception: the Mueller-Lyer illusion. In this visual effect, the impression is created that a horizontal line enclosed by acute angles is shorter than a similar line flanked by obtuse angles, though the lines are of equal length when measured with a ruler. While the Mueller-Lyer effect may be merely illusory when one adheres to the metrical laws of perceptual geometry based on Euclid, it is suggested that, from a phenomenological standpoint, the effect has a validity of its own. Going further, the Mueller-Lyer configuration is adapted to provide an example of a form of visual experience that specifically violates one of Euclid's basic postulates. The article closes by exploring the possibility of non-Euclidean visual geometries in relation to the concept of causality, Einsteinian relativity, and anomalous phenomena.