The concept of scientific paradigms was given currency by Thomas Kuhn in The Structure of Scientific Revolutions. (1962) Kuhn's concept of paradigm applies both to a body of ideas, theories, etc. -- a "worldview"-- and to the social organization of science in which it appears. There are two aspects to scientific paradigms. Paradigms are shared constellations of belief (a disciplinary matrix) and they are also models or examples.
Read Moreconceptual
perception
In the Aristotelian tradition of perception, inaugurated in De Anima , "sense is that which is receptive to the form of sensible objects without the matter, just as the wax receives the impression of the signet ring without the iron or the gold."
Read Moreperceptual / conceptual
Conrad Fiedler's aesthetic of "visibility" is based on Kant's distinctions between two different modes by which we come to terms with reality: perceptual and conceptual cognition. Whereas the former is based mainly on visual experience, (even here the visual is given priority over the sensual -- see optic / haptic ) For Kant, conceptual cognition is arrived at through a process of abstraction, the conceptual ordering of perceptual data. Both are autonomous but at the same time equal processes.
Read Morephilosophical space
According to Egyptian myth, space only came into being when the god of air, Shu, parted the earth from the sky by stepping between them. The creation of a vast gap between earth and sky was called chaos in Hesiod's Cosmogony. In the Tao Teh Ching, Lao Tzu addressed the role, in fact the superiority of the contained over the container, of the space within, of the immaterial.
Read Morepopulation/typological
One of the changes in biological thinking brought on by Darwinism is the replacement of the typological thought of the morphological rationnalists by the "population thinking" of the current neo-Darwinist synthesis.
Traditional Biology seeks to be a science of forms. The Linnean hierarchy, which is more empirical that rational, seeks to classify forms through a structure of nested classes (taxa) of the traditional, Aristotelian kind, whose members are individual organisms. In this system, a "higher" taxon can be said to be more 'abstract' in relation to a lower one, requiring fewer properties for membership and with a greater extension. But according to Driesch, the Linnean hierachies of genera and species were only related on the basis of empirical abstraction, not on the kind of fundamental concepts that carry principles of division and allow for a rational systematics. In the latter case, according to Driesch, "The so-called ' genus' ... then embraces all its 'species' in such a manner that all peculiarities of the species are represented already in properties of the genus." (The Science and Philosophy of the Organism, p.245)
praxis
The tradition of Platonic and idealistic philosophy separates theory from practice in much the same way as it does mind from body, privileging in both cases the "conceptual" (or moral) over the "material".
Praxis philosophies give primacy to a theory of action. The original expression is Aristotle's and refers to a symbolically meaningful activity, whose very doing, not its result, is the fulfillment of a cultural commitment. It can be defined as meaning rather than function.
For the Frankfurt school in its earlier period, prior to 1937, truth was defined as "a moment of correct praxis." Subsequently, in the face of Fascism and Stalinism, the relation between theoretical truth and the political praxis of specific social groups began to appear increasingly remote.
Read Moreprobability
In his apology for "personal knowledge," Michael Polanyi describes probability as expectation, and surprise as the inverse of probability. (cf information)
He points out that a probability statement cannot be contradicted by the events. Contradiction can only be established by a personal act of appraisal which rejects certain possibilities as being too improbable to be entertained as true. (pp 20 - 24)
qualitative/quantitative
...the qualitative is expressed in our concepts of reality and value. The Aristotelian universe was one in which qualities were primary. They were ontologically primary and indestructible. Qualities constituted an individual material body or substance when imposed on some portion of omnipresent neutral matter. (this is the hylomorphic model -- see form / matter. ) Aristotle sought to describe change-of-quality in general -- including both the fall of a stone and the growth of a child to adulthood.
Read Moresmooth/striated

In Mille Plateaus, Gilles Deleuze and Félix Guattari distinguish between two kinds of spaces: smooth space and striated space. This distinction coincides with the distinctions they draw between the nomadic and the sedentary, between the space of the war machine and the space of the state appparatus. According to Deleuze and Guattari, smooth space is occupied by intensities and events. It is haptic rather than optic, a vectorial space rather than a metrical one. Smooth space is characteristic of sea, steppe, ice and desert. It is occupied by packs and nomads. It is a texture of "traits" consisting of continuous variation of free action. The characteristic experience of smooth space is short term, up close, with no visual model for points of reference or invariant distances. Instead of the metrical forms of striated space, smooth space is made up of constantly changing orientation of nomads entertaining tactile relations among themselves.
Smooth does not mean homogeneous, however, but rather amorphous non-formal (cf formless) in fact, striation creates homogeneity. Homogeneity is the limit-form of a space striated everywhere and in all directions. According to Deleuze and Guattari, striation is negatively motivated by anxiety in the face of all that passes, flows, or varies and erects the constancy and eternity of an in-itelf. Thus A Thousand Plateaus recounts an "extended confrontation between the smooth and the striated in which the striated progressively took hold."
space
According to Sun Ra "Space is the place".
"The fascination which space seems to hold for philosophy is only equalled by the fascination which the idea of system holds for architects." (Christian Girard, Architecture et Concepts Nomades, p.72)
(cf. Roland Barthes' distinction between l'esprit de syst me and l'esprit syst matique .)
In this document, space is no longer considered unitary, as having a single essence, concept, or function. This is perhaps an indication of an outlook that is suspicious of the repressive ambition of a universal space which suppresses multiplicities, catastrophes, and incommensurabilities. One way to break with strategy is to fragment space. A typological approach to space in architecture, and a sensitivity to metaphor as crucial to theorization, indicate a move away from a singular concept of either space or theory.
The following taxonomy of spaces is a mixture of disciplinary divisions (art history, philosophy, etc.), technological divisions (writing, Cyberspace), territorial divisions (urban space), and subjective divisions (psycho-sexual, personal).
Read Moresynergetics
"Synergetics is a mathematical-physical way of studying how collections of subsystems (such as atoms, cells, animals) can produce structures and patterns of self-organization.
theory
As opposed to the weird science section, the theory section is devoted to terms that come from criticism, from literary studies, and the humanities. The basis for this bipartite structure came from my interest in the borrowings and polyvalent meanings of terms, the ways that the same term might take on opposite valences. A prime example of this reversibility is chaos. (a key reading was Chaos Bound, by Katherine Hayles) For cultural theory, chaos is opposite of order. But for the "new sciences" chaos can be understood as a new extension of order. Order itself moves back and forth between reassuring stability and coercive power. Hayles desribes "The politics of chaos" as " local knowledge versus global theory." My interest is thus to see how the meanings of terms need to be understood in variable contexts. This document seeks to map out some of the convergences, overlaps, shifting perspectives, and outright conflicts between contemporary criticism and sciences.
Read Moretop down / bottom up
Proponents of A-life have argued for the superiority of bottom-up thinking over top-down as being more like the way life works -- based on interactions of populations without a "master plan."
Read Moretruth
Plato and Euclid developed an indissoluble partnership between geometrical and philosophical ideas of truth. The Platonic concept of the theory of ideas was possible only because Plato had continually in mind the static shapes discovered by Greek mathematics. On the other hand, Greek gemetry did not achieve completion as a real system until it adopted Plato's manner of thinking. (see Ernst Cassirer, The Problem of Knowledge.) The concepts and propositions that Euclid placed at the apex of his system were a prototype and pattern for what Plato called the process of synopsis in idea. What is grasped in such synopsis is not the peculiar, fortuitous, or unstable; it possesses universal necessary and eternal truth. (see transcendence / immanence) This is the space of universal truth that differs from the spaces of a kind of truth that funtions only in the context of local pockets, a truth that is always local, distributed haphazardly in a plurality of spaces, with regional epistemologies.
Read Moreunity
For Kant, the categorial principle of unity is a requirement for the very concept of nature. As he puts it in the Prolegomena to the Critique of Pure Reason, "nature is the existence of things, considered as existence determined according to universal laws." For Kant, the idea of God serves to symbolize or "schematize" the highest form of systematic unity to which empirical knowledge can be brought, the purposive unity of things. (B714)
According the Kant, the idea of space, a priori, is that of a unity. In the Critique of Pure Reason, Kant defined space as "the form of all phenomena of the external sense, that is, the subjective condition of the sensibility, under which alone external intuition is possible." (p.26) (For Ernst Cassirer, the recognition of non-Euclidean geometries seemed to mean renouncing the unity of reason, which is its intrinsic and distinguishing feature." (see scientific space )
In the Critique of Judgement, he realizes that the absolute conditions of experience are not enough, and that experience depends on our ability to arrange the particular laws of nature according to the idea of a system. The empirical unity of nature in all its diversity is not identical with the categorical one, not constitutive of our experience, but a regulative one.
It is the business of our understanding to introduce unity into nature. For a scientist to succeed at his task, he must assume that something corresponding to this unity actually exists in nature to be discovered.
Read Morevisible/articulable
In Deleuze's analysis of Foucault, the prison defines a place of visibility ("panopticism") and penal law defines a field of articulability (the statements of deliquency). In the same manner, the asylum emerged as a place of visibility of madness, at the same time as medecine formulated basic statements about "folly". (do the two always coincide temporally?)
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