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Topic: Polycontexturality

	PCL Homepage
		It is not meant as an indroduction to Polycontexturality.
		His aim was to develop a philosophical theory and a mathematics of dialectics and of self-referential systems - a cybernetic theory of subjectivity as an interplay of cognition and volition.
		Polycontextural logic is a many-systems logic, a dissemination of logic, in which the classical logic systems (called contextures) are enabled to interplay with each other, resulting in a complexity which is structurally different from the sum of its components.
	www.thinkartlab.com /pkl (574 words)

	LIfe as Polycontexturality, Some Remarks
		PolyContextural Logic (PCL) represents an intrinsic parallel calculus where different logical domains (contextures) are closely interwoven with each another by means of new logical operators.
		Although the smallest polycontextural unit is given by three contextures (m=3), one can easily show that polycontexturality begins with four (m = 4) and not with three (the triad, m = 3) which means that a complete logical system only results with m = 4 and not with m = 3.
		In other words, the smallest meaningful polycontextural logical system is given by a structure with four (logical) positions distributed/mediated over six two-valued logical domains/contextures (or four three-valued contextures, or one four-valued contexture).
	www.vordenker.de /ggphilosophy/la_poly.htm (1060 words)

	Poly Contexturality (Site not responding. Last check: 2007-10-12)
		PolyContexturality: Conceptual Pattern that can be applied to formalize self-referential systems.
		A polycontextural architecture would formalize this situation as a simultaneous interaction of 4 domains (Lexical, syntactical, grammatical, semantical contexture).
		They published a paper on cooperative agents which relates Polycontexturality to sheaf and fiber bundle theory (ftp://ftp.mpi-sb.mpg.de/pub/igpl/Journal/V4-3/index.html#Pfalzgraf).
	c2.com /cgi/wiki?PolyContexturality (248 words)

	Stefan Arteni/ Painting as Polycontexturality
		This essay attempts to produce a bridge for scrutinizing and deploying the inter-, trans-, or, in a word, polycontextural relationships of diverse cultural-artistic ecosystems, without overlooking either the simultaneous openness and conflict-ridden nature of cultural interaction, or the contingency of art domains and their asymmetries and ambiguities.
		So there develops an exchange game, a subtle net of relationships extending in all directions, which, through the stressing of each respective function, can be unfolded to a versatile structure of multiple inheritances and even polycentry, or, to paraphrase Ilya Prigogine, multiple beginnings existing in parallel, multiple formalizations, multiple axiomatization sets.
		Polycontextural systems apply different codes of self-observation related to different observation positions.
	stefanarteni.net /writings/Polycontexturality/Polycontexturality.html (15943 words)

	IngentaConnect CONTEMPLATIONS ON A KNOWN UNKNOWN: Time (Site not responding. Last check: 2007-10-12)
		It refers mainly on the work of the philosopher and logician Gotthard Günther whose oeuvre has hardly been recognized by the mainstream of the scientific community, although his Theory of Polycontexturality (TPC) has to be considered the formal basis of any modern cybernetics or systems theory in which subjectivity becomes a part of scientific investigation.
		Besides polycontextural logic (PCL), which is a parallel interwoven calculus, TPC also encompasses Keno- and Morphogrammatics and the theory of qualitative or polycontextural numbers.
		Instead we try to introduce the idea of polycontexturality in a more semantic way using the well-known concept of a Turing machine (TM) and its principal limitations in modeling mental processes.
	www.ingentaconnect.com /content/imp/chk/2005/00000012/00000003/art00003 (321 words)

	Stefan Arteni/ Painting as Polycontexturality
		This essay attempts to produce a bridge for scrutinizing and deploying the inter-, trans-, or, in a word, polycontextural relationships of diverse cultural-artistic ecosystems, without overlooking either the simultaneous openness and conflict-ridden nature of cultural interaction, or the contingency of art domains and their asymmetries and ambiguities.
		So there develops an exchange game, a subtle net of relationships extending in all directions, which, through the stressing of each respective function, can be unfolded to a versatile structure of multiple inheritances and even polycentry, or, to paraphrase Ilya Prigogine, multiple beginnings existing in parallel, multiple formalizations, multiple axiomatization sets.
		Polycontextural systems apply different codes of self-observation related to different observation positions.
	www.stefanarteni.net /writings/Polycontexturality/Polycontexturality.html (15943 words)

	Cognitive Feel for Cognitive Catastrophes: Question Conformality
		The relationship of co-arising to singularities is explored by Kent D Palmer (Reflexive Autopoietic Systems Theory) but not explicitly to the forms of the "elementary catastrophes".
		Stefan Arteni (Painting as Polycontexturality: a collage of commented reading notes) points to further related insights.
		Complementing the feel for geometry are the constraints imposed by subjective response to time documented by Benjamin Libet (Mind Time: the temporal factor in consciousness, 2004).
	www.laetusinpraesens.org /musings/conform.php (5019 words)

	- Information and Third Order Ontology
		For the logical structure presented is a three-valued ontology or polycontexturality (according to Gotthard Günther, 1976, p.
		The brute fact that the system "actively selects" a certain matter/energy configuration as a sign, and reacts upon it, indicates that there must be something going on which cannot be entirely explained within this frame of reference, or as we call it here, in the monocontexture of the physical world OBJ.
		The salient question of introducing the issue of polycontexturality into the discussion of information is, by Occam's razor: "entia non sunt multiplicanda preter necessitatem".
	www.uni-ulm.de /uni/intgruppen/memosys/inform01.htm (2201 words)

	Derrida's Machines \| Lambda the Ultimate (Site not responding. Last check: 2007-10-12)
		This brings us back to the central topics of DERRIDA'S MACHINES: Interactivity between structures and dynamics, that is, to the interplay of algebras and co-algebras, ruled by category theory and surpassed by the diamond strategies leading to polycontexturality and kenogrammatics.
		Guess I'll have to work on my vocabulary as I've never heard of polycontexturality and kenograms.
		Introducing and Modelling Polycontextural Logics (R. Kaehr and Th.
	lambda-the-ultimate.org /node/view/134 (1358 words)

	Clinton Goveas :: Wikipedia Reference (Site not responding. Last check: 2007-10-12)
		It has been suggested that Polycontexturality be merged into this article or section.
		In reason, subjectivity refers to the property of perceptions, arguments, and language as being based in a subject point of view, and hence influenced in accordance with a particular bias.
		Modified service content copyright © 2003-2005 Clinton Goveas.
	www.clintongoveas.com /wikipedia/?title=Subjectivity (159 words)

	Polycontexturality Homepage - Details for: Artificial Intelligence: Philosophy: Polycontexturality Homepage
		Polycontexturality Homepage - Details for: Artificial Intelligence: Philosophy: Polycontexturality Homepage
		Top > Artificial Intelligence > Philosophy > Polycontexturality Homepage
		The idea of an extension of classical logic to cover simultaneously active ontological locations develop a philosophical theory and a mathematics of dialectics and of self-referential systems - a cybernetic theory of subjectivity as an interplay of cognition and volition.
	www.ufoseek.com /Artificial_Intelligence/Philosophy/Polycontexturality_Homepage_L122553 (70 words)

	Jokisch_Logic_Resume.htm
		With this, he wants to make us understand that only in one context(!) of at least two bivalent structures, can forms, objects or "somethings" occur.
		We demonstrate that in the end this Polycontextural principle coincides with our supposition that the form, object or "something" can only emerge in a context that reflects a tetradic constellation of events, which means saying that every context has to be polyvalent, that every context is based on the principle of Polycontextuality.
		This chapter circumscribes what must be understood by 'sociability of logic' - that is, by the social aspect of logic - as problem, and shows that the tradition handled by this problem, is eminently philosophical.
	www.tu-berlin.de /~society/Jokisch_Logic_Resume.htm (7115 words)

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