The is the Editorial of the 2015 JPBMB Special Issue on Integral Biomathics: Life Sciences, Mathematics and Phenomenological Philosophy.

We take another look at “Just-So” solar neutrino oscillations, characterizing them by the energy Eπ/2 at which the distance-varying angle is π/2, instead of by the usual Δm 2 . The rising spectrum recently observed by SuperKamiokande is consistent with an Eπ/2 ∼6–9 MeV and marginally with 48 MeV. The pp neutrinos must then be reduced to one-half the standard solar model prediction, and 7Be neutrinos must make up a significant part of the SAGE and GALLEX gallium signal. For Eπ/2 (...) close to 9 and 48 MeV, the 7Be neutrinos will also show a large seasonal variation, emphasizing the importance of direct measurements of the 7Be neutrinos. (shrink)

Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories and (...) On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

Recursion or self-reference is a key feature of contemporary research and writing in semiotics. The paper begins by focusing on the role of recursion in poststructuralism. It is suggested that much of what passes for recursion in this field is in fact not recursive all the way down. After the paradoxical meaning of radical recursion is adumbrated, topology is employed to provide some examples. The properties of the Moebius strip prove helpful in bringing out the dialectical nature of radical recursion. (...) The Moebius is employed to explore the recursive interplay of terms that are classically regarded as binary opposites: identity and difference, object and subject, continuity and discontinuity, etc. To realize radical recursion in an even more concrete manner, a higher-dimensional counterpart of the Moebius strip is utilized, namely, the Klein bottle. The presentation concludes by enlisting phenomenological philosopher Maurice Merleau-Ponty’s concept of depth to interpret the Klein bottle’s extra dimension. (shrink)

In recent years an assemblage of nuclear energy proponents has coalesced around the notion of ‘Climate First’ – arguing that nuclear power is a necessary component of the fight against climate chan...

When we dream, it is often assumed, we are isolated from the external environment. It is also commonly believed that dreams can be, at times, accurate, convincing replicas of waking experience. Here I analyse some of the implications of this view for an enactive theory of conscious experience. If dreams are, as described by the received view, “inactive”, or “cranially envatted” whilst replicating the experience of being awake, this would be problematic for certain extended conscious mind theories. Focusing specifically on (...) Alva Noë’s enactive view, according to which the vehicles of perceptual experience extend beyond the brain, I argue that dreams are a quandary. Noë’s view is that dreaming is consistent with enactivism because even if dreams are inactive and shut off from the external environment, they are not “full-blown” perceptual consciousness, and also, there is some reason to reject the inactive claim. However, this view rests on an unjustified and reductive account of dreams which is not supported... (shrink)

This paper takes as its point of departure recent research into the possibility that human beings can perceive single photons. In order to appreciate what quantum perception may entail, we first explore several of the leading interpretations of quantum mechanics, then consider an alternative view based on the ontological phenomenology of Maurice Merleau-Ponty and Martin Heidegger. Next, the philosophical analysis is brought into sharper focus by employing a perceptual model, the Necker cube, augmented by the topology of the Klein bottle. (...) This paves the way for addressing in greater depth the paper’s central question: Just what would it take to observe the quantum reality of the photon? In formulating an answer, we examine the nature of scientific objectivity itself, along with the paradoxical properties of light. The conclusion reached is that quantum perception requires a new kind of observation, one in which the observer of the photon adopts a concretely self-reflexive observational posture that brings her into close ontological relationship with the observed. (shrink)

This book addresses two significant and interrelated problems confronting modern theoretical physics: the unification of the forces of nature and the evolution of the universe. In bringing out the inadequacies of the prevailing approach to these questions, the need is demonstrated for more than just a new theory. The meanings of space and time themselves must be radically rethought, which requires a whole new philosophical foundation. To this end, we turn to the phenomenological writings of Martin Heidegger and Maurice Merleau-Ponty. (...) Their insights into space and time bring the natural world to life in a manner well-suited to the dynamic phenomena of contemporary physics. In aligning continental thought with problems in physics and cosmology, topology is employed. Phenomenological intuitions about space and time are systematically fleshed out via an unconventional approach to this qualitative branch of mathematics. Topological phenomenology is applied to such topics as quantum gravity, cosmogony, symmetry, spin, vorticity, dimension theory, Kaluza-Klein and string theories, fermion-boson interrelatedness, hypernumbers, and the mind-matter interface. (shrink)

This book explores the evolution of space and time from the apeiron — the spaceless, timeless chaos of primordial nature. Here Western culture’s efforts to deny apeiron are examined, and we see the critical need now to lift the repression of the apeiron for the sake of human individuation.

Through an exploration of theoretical physics, this paper suggests the need for regrounding natural science in phenomenological philosophy. To begin, the philosophical roots of the prevailing scientific paradigm are traced to the thinking of Plato, Descartes, and Newton. The crisis in modern science is then investigated, tracking developments in physics, science's premier discipline. Einsteinian special relativity is interpreted as a response to the threat of discontinuity implied by the Michelson-Morley experiment, a challenge to classical objectivism that Einstein sought to counteract. (...) We see that Einstein's efforts to banish discontinuity ultimately fall into the “black hole” predicted in his general theory of relativity. The unavoidable discontinuity that haunts Einstein's theory is also central to quantum mechanics. Here too the attempt has been made to manage discontinuity, only to have this strategy thwarted in the end by the intractable problem of quantum gravity. The irrepressible discontinuity manifested in the phenomena of modern physics proves to be linked to a merging of subject and object that flies in the face of Cartesian philosophy. To accommodate these radically non-classical phenomena, a new philosophical foundation is called for: phenomenology. Phenomenological philosophy is elaborated through Merleau-Ponty's concept of depth and is then brought into focus for use in theoretical physics via qualitative work with topology and hypercomplex numbers. In the final part of this paper, a detailed summary is offered of the specific application of topological phenomenology to quantum gravity that was systematically articulated in The Self-Evolving Cosmos (Rosen 2008a). (shrink)

The concept of "the flesh" (la chair) derives from the writings of Maurice Merleau-Ponty. This was the word he used to name the concrete realm of sentient bodies and life processes that has been eclipsed by the abstractions of science, technology, and modern culture. Topology, to conventional understanding, is the branch of mathematics that concerns itself with the properties of geometric figures that stay the same when the figures are stretched or deformed. Topologies of the Flesh blends continental thought and (...) mathematical imagination, opening up a new area of philosophical inquiry: topological phenomenology. Through its unique application of qualitative mathematics, this work extends the approaches of Merleau-Ponty and Heidegger so as to offer a detailed exploration of previously uncharted dimensions of human experience and the natural world. (shrink)

This book confronts basic anomalies in the foundations of contemporary science and philosophy. It deals with paradoxes that call into question our conventional way of thinking about space, time, and the nature of human experience.

This paper seeks to extend my recent work on quantum perception (Rosen, 2021) to the phenomenon of quantum entanglement. In the first section, I summarize the earlier work, noting how the conventional approach to observing photons is rooted in an objectivist philosophy that serves as an obstacle to probing the underlying quantum reality. In the summary provided, I bring out the intimate relationship between observer and observed in the quantum world, and the need for a new, proprioceptive mode of (...) observation linked to phenomenological philosophy. The second part of the paper builds on the earlier effort by applying the proprioceptive observation of photons to the phenomenon of entanglement. The basic proposition is that proprioceptive observers of entangled photons may become entangled with each other. I propose an experiment that tests this hypothesis. In concluding, I explore the possibility that a quantum internet of proprioceptively engaged participants could create an ontologically entangled society. (shrink)

This volume offers the first English language collection of academic essays on the post-Holocaust thought of Jean Améry, a Jewish-Austrian-Belgian essayist, journalist and literary author. Comprehensive in scope and multi-disciplinary in orientation, contributors explore central aspects of Améry's philosophical and ethical position, including dignity, responsibility, resentment, and forgiveness.

The central thesis of this paper is that contemporary theoretical physics is grounded in philosophical presuppositions that make it difficult to effectively address the problems of subject-object interaction and discontinuity inherent to quantum gravity. The core objectivist assumption implicit in relativity theory and quantum mechanics is uncovered and we see that, in string theory, this assumption leads into contradiction. To address this challenge, a new philosophical foundation is proposed based on the phenomenology of Maurice Merleau-Ponty and Martin Heidegger. Then, through (...) the application of qualitative topology and hypernumbers, phenomenological ideas about space, time, and dimension are brought into focus so as to provide specific solutions to the problems of force-field generation and unification. The phenomenological string theory that results speaks to the inconclusiveness of conventional string theory and resolves its core contradiction. (shrink)

This paper brings to light the significance of Merleau-Ponty’s thinking for contemporary physics. The point of departure is his 1956–57 Collège de France lectures on Nature, coupled with his reflections on the crisis in modern physics appearing in THE VISIBLE AND THE INVISIBLE. Developments in theoretical physics after his death are then explored and a deepening of the crisis is disclosed. The upshot is that physics’ intractable problems of uncertainty and subject-object interaction can only be addressed by shifting its philosophical (...) base from objectivism to phenomenology, as Merleau-Ponty suggested. Merleau-Ponty’s allusion to “topological space” in THE VISIBLE AND THE INVISIBLE provides a clue for bridging the gap between “hard science” and “soft philosophy.” This lead is pursued in the present paper by employing the paradoxical topology of the Klein bottle. The hope is that, by “softening” physics and “hardening” phenomenology, the “two cultures” (cf. C. P. Snow) can be wed and a new kind of science be born. (shrink)

Bodily experience in dreams should be considered illusory to the extent that they cannot be satisfactorily explained or fruitfully investigated by appealing to brain activity alone; rather, to wholly understand the unique phenomenology of embodied selfhood in dreams, one must understand how the brain processes real-body inputs to produce the phenomenology of embodied selfhood in dreams, and why the brain responds the way it does to external stimuli during sleep.

Public policy issues around access to networked information are explored and examined. Long viewed as the quintessential public good, information has evolved into a critically important market commodity in little more than a generation. New technologies and a political climate in which the meaning of universal access to information is no longer commonly understood and in which its importance is no longer taken for granted pose significant challenges for American society. Libraries, as information commons, offer the means of meeting those (...) challenges. Historical, economical, and professional factors that shape the conflict are described and discussed. (shrink)

In the author’s previous contribution to this journal (Rosen 2015), a phenomenological string theory was proposed based on qualitative topology and hypercomplex numbers. The current paper takes this further by delving into the ancient Chinese origin of phenomenological string theory. First, we discover a connection between the Klein bottle, which is crucial to the theory, and the Ho-t’u, a Chinese number archetype central to Taoist cosmology. The two structures are seen to mirror each other in expressing the psychophysical (phenomenological) (...) action pattern at the heart of microphysics. But tackling the question of quantum gravity requires that a whole family of topological dimensions be brought into play. What we find in engaging with these structures is a closely related family of Taoist forebears that, in concert with their successors, provide a blueprint for cosmic evolution. Whereas conventional string theory accounts for the generation of nature’s fundamental forces via a notion of symmetry breaking that is essentially static and thus unable to explain cosmogony successfully, phenomenological/Taoist string theory entails the dialectical interplay of symmetry and asymmetry inherent in the principle of synsymmetry. This dynamic concept of cosmic change is elaborated on in the three concluding sections of the paper. Here, a detailed analysis of cosmogony is offered, first in terms of the theory of dimensional development and its Taoist (yin-yang) counterpart, then in terms of the evolution of the elemental force particles through cycles of expansion and contraction in a spiraling universe. The paper closes by considering the role of the analyst per se in the further evolution of the cosmos. (shrink)

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. (shrink)

The violation of parity in weak interactions demonstrated in 1956 was an event that shook the foundations of physics. Since that time, the status of physical symmetry has been very much in doubt. The problem is presently addressed by first examining the essential relation between symmetry and asymmetry. Then, through the medium of qualitative mathematics, an attempt is made to show how these opposites may be fused in a topological structure expressing a new principle, that of "synsymmetry".

This essay is written at the crossroads of intuitive holism, as typified in Eastern thought, and the discursive reflectiveness more characteristic of the West. The point of departure is the age-old human need to overcome fragmentation and realize wholeness. Three basic tasks are set forth: to provide some new insight into the underlying obstacle to wholeness, to show what would be necessary for surmounting this blockage, and to take a concrete step in that direction. At the outset, the question of (...) paradox is addressed, examined in relation to Zen meditation, the problem of language, and the thinking of Heidegger. Wholeness is to be realized through paradox, and it is shown that a complete realization requires that paradox be embodied. Drawing from the fields of visual geometry and qualitative mathematics, three concrete models of paradox are offered: the Necker cube, the Moebius surface, and the Klein bottle. In attempting to model wholeness, an important limitation is recognized: a model is a symbolic representation that maintains the division between the reality represented and the act of symbolizing that reality. It is demonstrated that while the first two models are subject to this limitation, the Klein bottle, possessing higher dimensionality, can express wholeness more completely, provided that it is approached in a radically nonclassical way. The final question of this essay concerns its own capability as an essay. It is asked whether the present text is restricted to affording a mere abstract reflection on wholeness, or whether wholeness can tangibly be delivered. (shrink)

This article explores the evolution of human attention, focusing particularly on the phylogenetic and ontogenetic implications of the work of the American social psychiatrist Trigant Burrow. Attentional development is linked to the emergence of visual perspective, and this, in turn, is related to Burrow's notion of `ditention' (divided or partitive attention). Burrow's distinction between `ditention' and `cotention' (total organismic awareness) is examined, and, expanding on this, a threefold pattern of perceptual change is identified: prototention-->ditention-->cotention. Next, ditentive visual perspective is related (...) to binocular convergence, and the author makes use of the perspectivally ambiguous, `non-convergent' Gestalt figure known as the Necker Cube to illustrate cotention. The paper concludes by proposing that the shift from the currently pervasive ditentive pattern of awareness to a cotentive mode could have a salutary effect on human society. (shrink)

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. (shrink)

Euboulos' 'αγκελων is represented by only four fragments , all culled from Athenaeus, which tell us nothing about the plot of the play or about the identity of its titular character. R. L. Hunter, in his recent commentary on Euboulos, discusses at length the name 'αγκελων and concludes that it could belong to either a humble and poor man; ‘a character from folklore notorious for sexual relations with his mother’ ; or ’ a wily slave such as those foreshadowed in (...) Aristophanes and familiar from New Comedy'. In view of our ignorance of the play's plot, each of these possibilities has an equal claim to our consideration. I believe, however, that the context in which the fragments are embedded in Athenaeus allows us to refine our understanding of the name even further. (shrink)

Justifying involuntary psychiatric treatment on the basis of a judgment that a person lacks capacity is usually expressed in terms of a person’s ability to make a decision about his or her health and treatment. Typically, this relates to the ability to refuse treatment. Exactly what “capacity” means, however, and how one determines when another individual lacks capacity, or lacks sufficient capacity, in this context is particularly controversial, with the United Nations Committee on the Rights of Persons with Disabilities insisting (...) that involuntary treatment be abandoned altogether and capacity tests avoided.Capacity is a concept that has multiple meanings and applications across different disciplines and... (shrink)

In this article, the author defends his claim that a subtle form of metaphysical dualism can be found in Alfred North Whitehead's central notion of the "actual occasion." Rosen contends that phenomenological philosophers such as Martin Heidegger go further than Whitehead in challenging traditional dualism.

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. (shrink)

This paper addresses a central question of contemporary theoretical physics: Can a unified account be provided for the known forces of nature? The issue is brought into focus by considering the recently revived Kaluza-Klein approach to unification, a program entailing dimensional transformation through cosmogony. First it is demonstrated that, in a certain sense, revitalized Kaluza-Klein theory appears to undermine the intuitive foundations of mathematical physics, but that this implicit consequence has been repressed at a substantial cost. A fundamental reformulation of (...) the Kaluza-Klein strategy is then undertaken, one that casts it within a new intuitive context. This is followed by a provisional application of the suggested approach to the specific problem of cosmic evolution. The paper concludes by exploring the far-reaching epistemological implications of the "neo-intuitive" proposal set forth. (shrink)

A dialectical, double-aspect model of general interaction is proposed as a means of visualizing existence. It is constructed from observation of the transformational properties of the Moebius surface, with hyperdimensional extrapolation to the Klein bottle. The interaction of systems is viewed as a process of circumversion (i.e. turning inside-out) whereby systems exchange relations, become mutually negated, then exchange identities. Interaction is discussed in the context of the PCT problem, symmetry, creation-annihilation, and uncertainty.

The basic thesis is that the problem of infinity underlies the current dilemma in modern theoretical physics. The traditional and set-theoretic conceptions of infinity are considered. It is demonstrated that standard mathematical analysis is dependent on the complete relativity of the infinite. In examining the domains of modern physics, infinity is found to lose its entirely relative character and, therefore, to be less amenable to classical analysis. Complementary aspects of microworld infinity are identified and are associated with the equivalent features (...) (inertial and gravitational mass) of Einstein's macroworld theory. The persisting effort to treat essentially non-classical phenomena in classical terms is critically discussed. A new attitude toward the infinite is recommended, one that might lead to establishing a second principle of the relativity of the infinite. The prospect for implementing the suggested approach through a "trans-analytic" meta-theory of dimensional generation is briefly entertained. (shrink)

This essay offers a broad historical exploration of the apeiron, the ancient principle of boundlessness and indeterminacy first brought to light by Anaximander in the 6th century BCE. Early Greek philosophy’s struggle with the apeiron and apeiron’s subsequent repression during the Renaissance and Enlightenment are noted. In the nineteenth century, apeiron is resurgent in science, art, and other fields—only to be repressed again with the early twentieth century rise of modernism. But with modernism's collapse into postmodernism, once again the apeiron (...) comes to the fore. The conclusion reached is that the apeiron can be effectively contained only by consciously acknowledging and accepting it as part of the process of individuation. (shrink)

A paradoxical feature of Weber's law is considered. The law presumably states a principle of psychophysical relativity, yet a pre-relativistic physical measurement model has been traditionally employed. Classical physics, Einsteinian relativity, and a newer interpretation of the relativity concept are discussed. Their relation to psychophysics is examined. The domain wherein Weber's law breaks down is noted as suggestively similar to that in which physicists report relativistic effects. A tentative hypothesis is offered to stimulate further thought about a more meaningful integration (...) of psychophysics with modern physical science. (shrink)

This paper examines the interplay of changelessness and change, being and becoming, from an historical and dialectical standpoint. Topological paradox is employed to elucidate the dynamic interweaving of these ontological opposites. The essay concludes by exploring the relevance of the dialectic to the question of human freedom.