The Cognitive-Theoretic Model of the Universe (CTMU) is True Metaphysics

The relationship between metaphysics, mathematics and physics is quite interesting. My opponent compares physics to the content of a painting and metaphysics to the "frame". However this metaphor could be extended to include the framer/painter, the paintbrush, the design and material of the frame, and the act of observation in the conception, production and interpretation of that painting. This leads to J.A. Wheeler's insight: "All things physical are information-theoretic in origin and this is a participatory universe... Observer participancy gives rise to information; and information gives rise to physics." http://jawarchive.files.wordpress.com... Langan refers to Wheeler's paper in his 2002 PCID paper as a starting point for "Reality Theory", since it traces physics to information and information to observer-participancy or "transductive algebraic syntax" as Langan would describe it. Some "attributes" of this painting may be objective in one sense while simultaneously being subjective in another. Some attributes, such as the order of events, can change depending on which perspective it is observed from, while others are invariant under a change of basis. For example, the extensive properties of a formula which is graphed may differ depending on whether it is described in terms of Cartesian or polar coordinates, however the properties which inhere within the formula itself are intensive, and do not depend on the values which are given to its variables or the configuration of coordinates in which they're processed. "Beauty" is a classic example, which has been judged according to various criteria such as symmetry, unity in diversity, or the complementarity of form and function. In musical harmonies there is often an obvious architecture or syntax for the arrangement of notes or states of sound as produced and perceived, but beauty is often said to only be in the eye of the beholder. The deeper issue here, is the falsehood of "absolute moral relativism". This relates to the commensurability of values in co-varying "psycho-social" frames of reference, which Langan discusses in his paper, The Resolution of Economic Paradox: Toward a Theory of Economic Relativity. In physics, attributes may be defined in terms of extensive values such as length x width, where changes in either quantity effects the value of the attribute "area". However the "values" of the attributes of this painting may also vary in terms of each other, such that some overall quantity or quality is conserved or globally invariant in such a way that it acts as a principle normative complementarity, so relative to each other the length x width may vary while taken as a unit they conserve that particular attribute of the whole. Some attributes have intensive values which may be expressed as ratios such as color, which itself does not increase or decrease with size but proportionate densities. If we are actually living inside that painting called "physics", one should acknowledge that it is embedded in a realization space or its meta-syntax which would be the syntax of "mathematics", so if we want to precipitate understanding of that meta-reality, which involves the "physics" of the paintbrush and the painter which are less bounded and have more degrees of freedom. In the CTMU, the "frame" or "boundary" of metaphysics would be syntax, the painting of physics is its content. The boundary of syntax does not exclusively determine the content, since the content to some extent determines the boundaries of syntax. However this self-determinative relationship involves two phases, the boundary itself which topologically contains or configures the painting, and the contents of the boundaries relative to each other which descriptively "fill-in" the boundaries of the canvas. While I could go on about how the "compatibility relations" of bialgebras could be useful in modeling "incentive compatibility" and the partial ordering of preferences or "types" in mechanism design theory, however rather than using "types", employing extensive sorts (scaled or weighted "utility") and intensive properties (scale-invariant or didense topoalgebras), which relate to Lambek's pregroups and their grammar have left/right adjoints, and the isomorphism of inward/outward modules in Pratt's algebraic formulation of the Yoneda Lemma, or self-reference in terms of automorphism groups as they relate to Langan's space-time-object triality, which would shed some valuable light on the mysterious relationship between finite algebraicity and infinite modularity, or finite alphabets and infinite productions...I will refrain from expounding further on my own insights on the relative value of CTMU, until my opponent builds a substantial case.