Chiastic order is an ancient expression for cross-classification. Cross-classification, in turn, is one of many terms used for the operation of conjoining or cross-mapping one domain, class or set of concepts with another. As such, it is the primordial form of non-quantified modelling and combinatory heuristics. This article presents a brief epistemological history of non-quantified modelling: its prehistory in the form of rhetorical chiasmus; its early (pre-symbolic) use by Plato as a cross-order (paradigmatic) modelling method; and its “modern” (symbolic) (...) use by Leibniz as a calculus of concepts. It will also be shown how classification theory itself is built on a cross-classificatory construct involving two fundamental logical/structural relationships: subordination and conjunction. Finally, examples of modern computer-aided, non-quantified modal modelling are presented in the areas of design theory, operational research and decision science. (shrink)

Reflexive observations and observations of reflexivity: such agendas are by now standard practice in anthropology. Dynamic feedback loops between self and other, cause and effect, represented and representamen may no longer seem surprising; but, in spite of our enhanced awareness, little deliberate attention is devoted to modeling or grounding such phenomena. Attending to both linguistic and extra-linguistic modalities of chiasmus (the X figure), a group of anthropologists has recently embraced this challenge. Applied to contemporary problems in linguistic anthropology, (...) class='Hi'>chiasmus functions to highlight and enhance relationships of interdependence or symbiosis between contraries, including anthropology’s four fields, the nature of human being and facets of being human. (shrink)

According to Greimas, the semiotic square is far more than a heuristic for semantic and literary analysis. It represents the generative “deep structure” of human culture and cognition which “define the fundamental mode of existence of an individual or of a society, and subsequently the conditions of existence of semiotic objects” (Greimas & Rastier 1968: 48). The potential truth of this hypothesis, much less the conditions and implications of taking it seriously (as a truth claim), have received little attention in (...) the literature. In response, this paper traces the history and development of the logical square of opposition from Aristotle to Greimas and beyond, to propose that the relations modelled in these diagrams are embodied relations rooted in gestalt memories of kinesthesia and proprioception from which we derive basic structural awareness of opposition and contrast such as verticality, bilaterality, transversality, markedness and analogy. To make this argument, the paper draws on findings in the phenomenology of movement (Sheets-Johnstone 2011a, 2011b, 2012, Pelkey 2014), recent developments in the analysis of logical opposition (Beziau & Payette 2008), recent scholarship in (post)Greimasian semiotics (Corso 2014, Broden 2000) and prescient insights from Greimas himself (esp. 1968, 1984). The argument of the paper is further supported through a visual and textual content analysis of a popular music video, both to highlight relationships between the semiotic square and mundane cultural ideologies and to show how these relationships might be traced to the marked symmetries of bodily movement. In addition to illustrating the enduring relevance of Greimasean thought, the paper further illustrates the neglected relevance that embodied chiasmus holds for developments in anthropology, linguistics and the other cognitive sciences. (shrink)

This draft Chapter 4 of the book “In the Beginning was Chiasmus: On the Epistemology of Non-quantified Modelling, describes how Plato’s method of divisions and collections (diairesis) accommodates both linear hierarchal classification and combinatoric cross-classification. It presents Plato’s and the early Neoplatonists’ use of cross-classificatory (chiastic) modelling as an ancient prototype of contemporary typological and morphological modelling.

This study firstly addresses three threads in Chris Marker’s work – theology, Marxism, and Surrealism – through a mapping of the work of both Giorgio Agamben and Jacques Derrida onto the varied production of his film and photographic work. Notably, it is late Agamben and late Derrida that is utilized, as both began to exit so-called post-structuralism proper with the theological turn in the late 1980s and early 1990s. It addresses these threads through the means to ends employed and as (...) ends proper (as production of semi-autonomous works that also, paradoxically, index a much larger field of inquiry and theoretical praxis). It is perhaps French “schizophrenia” regarding theological versus political agency that best accounts for the sardonic deployment of irony and humor in Marker’s work in the face of Big History. Such means to ends (plus a subtle anti-intellectualism vis-à-vis fashionable academic trends) tend to underscore the severity and ultimate sincerity of Marker’s overall cultural-political project. -/- Dossier Chris Marker is also a study of a late-modern chiasmus, impersonal-personal agency, as it comes to expression in the works of Marker, as the dynamic interplay of political and subjective agency. As chiasmus, the complementary halves of this often-apocalyptic dynamis (a semi-catastrophic, temporal or historical force-field) also – arguably – secretly agree to meet, through the work of art, in the futural (problematized in contemporary French post-phenomenological and post-post-structuralist theory as “the event).” Consistent with the classical figure of concordia discors, Marker resolves these irreducible warring aspects of life experience in an atemporal and ahistorical moment that inhabits the work of art from its inception. This redemptive aspect in art is also the ultimate gesture of the artwork as autonomous subject and “mask” (or “screen”) for forces that reside beyond the frame of the image or work, as its proverbial Other, or within the frame, as other to that Other. -/- Despite the complications of the as-yet unresolved post-modern condition (its nihilist-relativist bias), and its similar, mostly circular concerns with the image and/or media, Marker’s work is clearly not post-modern. In fact, when tested against immemorial cultural epiphenomena, that work withstands all attempts at categorization and/or art-historical analysis proper. It remains unassimilable to the post-modern cause ... What emerges, upon closer examination, and through rigorous re-contextualization, is the prescient force of Marker’s works toward that futural state buried in art that is also “theological,” versus atheological, and heedlessly anterior to cultural politics per se. -/- In the case of Marker, this age-old or immemorial “thing-in-itself” (the artwork as image of world-chiasmus) finds its foremost or penultimate formation in his very-still photography – the singular images that are also the building blocks for his renowned ciné-essays. Not without irony, this same austere, reductive force of the still image (as form of proscription) also inhabits the more complex, synthetic works (or montages) that he has formulated and presented “dramatically,” here and there, through the often-sketchy apparatuses of his new-media experiments, as of the late 1980s. Ultimately, this world-image as chiasmus was always present within his earliest literary projects, from the 1940s forward – most especially in books and essays, with or without actual images. -/- Marker’s “return” to photography (to exhibiting still photography in galleries), in the late 2000s, is in many ways a return to the singular object of the artist-critic’s desire; the image in/for itself, while that image – endlessly troubled or interrogated for decades – continues to speak “in tongues” anyway, often against, or oblivious to, the voice of the author/artist/narrator. -/- Marker is a High Romantic Christian Marxist. The “Christic” aspect is rightly well-hidden, but emerges when the eschatological versus historical center of his work is exposed (the existential-metaphysical fuse such as also inhabits the works of Caravaggio), and when his early years are examined in light of his later and/or final years. Marker’s semi-personal/semi-impersonal apocalyptic vision is writ large in diverse works that cross decades, figuring a redemptive, world-shattering formation of art as pleroma. (shrink)

It seems certain to me that I will die and stay dead. By “I”, I mean me, Greg Nixon, this person, this self-identity. I am so intertwined with the chiasmus of lives, bodies, ecosystems, symbolic intersubjectivity, and life on this particular planet that I cannot imagine this identity continuing alone without them. However, one may survive one’s life by believing in universal awareness, perfection, and the peace that passes all understanding. Perhaps, we bring this back with us to the (...) Source from which we began, changing it, enriching it. Once we have lived – if we don’t choose the eternal silence of oblivion by life denial, vanity, indifference, or simple weariness – the Source learns and we awaken within it. Awareness, consciousness, is universal – it comes with the territory – so maybe you will be one of the few prepared to become unexpectedly enlightened after the loss of body and self. You may discover your own apotheosis – something you always were, but after a lifetime of primate experience, now much more. Since you are of the Source and since you have changed from life experience and yet retained the dream of ultimate awakening, plus you have brought those chaotic emotions and memories back to the Source with you (though no longer yours), your life & memories will have mattered. Those who awaken beyond the death of self will have changed Reality. (shrink)

The paper will explicate the Sache or matter of the dialectic of the founder of Kyoto School philosophy, Nishida Kitarō (1870-1945), from the standpoint of his mature thought, especially from the 1930s and 40s. Rather than providing a simple exposition of his thought I will engage in a creative reading of his concept of basho (place) in terms of chiasma and chōra, or a chiasmatic chōra. I argue that Nishida’s appropriation of nineteenth century German, especially Hegelian, terminology was inadequate in (...) expressing what he strove to say—for his concept of basho confounds traditional metaphysical discourse. Because of its chiasmatic and chōratic nature, the Sache he strove to capture and express through the language of dialectical philosophy, perpetually slips away from any systemic bounds. His “dialectic” (benshōhō) implies a chiasma or a criss-crossing of multiple factors on multi-dimensional levels that exceed in complexity simplistic binomial oppositions or the triadic formula of traditional dialectics. The complexity is one of over-determination that threatens to undermine the very language of such a dialectic. As the deep complexity of over-inter-determinations would deconstruct any notion of a substance, what Nishida offers—as opposed to an ousiology (or logic of substance)—is a chiasmology. I thus argue that his so-called dialectic is really an unfolding of that chiasma. And if chiasma expresses the over-determinate aspect of Nishida’s matter of thinking, chōra would express its under-determinate aspect. Nishida himself based his concept of basho or “place” on Plato’s notion of the chōra from the Timaeus. I take Nishida’s basho in its chōratic nature as what simultaneously unfolds and enfolds the chiasma. But in the case of the chōra it is its under-determinate nature that refuses reduction to any of the terms of opposition. In its self-withdrawal, it provides a clearing, a space, for the chiasmatic unraveling of the many. Like the chiasma it undermines any claim to a first substance or the hegemony of a universal First. For in its indeterminateness, it is “nothing” (mu). The unfolding it enfolds is, as Nishida states, “a determination without determiner.” In concrete terms, however, we might develop Nishida’s concept further by returning to the original pre-Platonic Greek meaning of chōra in the sense of “region” or “country,” to understand chōra or basho here as the very space of co-existence provided by this very earth. As a chiasmatic chōra irreducible, in its over- and under-determinations, to being or non-being, Nishida’s basho qua mu proves to be the an-ontological origin of both on and meon (being and non-being). Rejecting the culture-nature dichotomy this notion of our place of being as chiasma and chōra underscores our holistic symbiosis with the earth as the anontological (un)ground and clearing for our co-existence in a concrete milieau with one another and with nature. It is this earth as our ultimate contextual wherein that provides a clearing for co-dwelling and mutual encounter with one’s other, that we must acknowledge today if we are to co-exist authentically and freely vis-à-vis our global neighbors and vis-à-vis the surrounding nature. (shrink)