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CTMU.ppt
1. Christopher Michael Langan
Research and Progress in Intelligent Design - Biola University - October 24 - 27, 2002
The Cognitive-Theoretic
Model of the Universe
A New Kind of Reality Theory
2. Goose barnacles do not suddenly give rise to
barnacle geese. “Spontaneous generation is absurd!”
say most biologists. “The only scientifically valid
position is that species and organisms originate with
the Laws of Nature as studied by Mainstream
Science!”
Unfortunately, mainstream science itself subscribes
to a very deep and fundamental form of spontaneous
generation applying to the whole universe.
Spontaneous Generation
3. Why do so many biologists so readily swallow the
spontaneous generation concept with regard to things
that are supposed to be even more fundamental than
biology, namely physics, cosmology and even
mathematics?
Why do they tacitly assume that invoking magic
words like “Darwin”, “natural selection”, “random
mutation” and “theory of evolution” can somehow
overcome the forces of logic?
This constitutes a major paradox.
Paradox!
4. Since biological processes are physical, explaining a
biological process means explaining the corresponding
physical process, and the standards of validity are
ultimately identical. In fact, standards of validity do not
belong to any branch of empirical science, but to logic.
Logic requires that biological processes occur within a
supporting medium. But physical theory provides no
structured medium with room or support for mechanism of
any kind, including the “laws of nature” themselves. There
is merely an empty vacuum with hidden mathematical
structure. (Since the vacuum looks empty and featureless,
where is this structure hiding?)
Are biology and physics separate realms
of inquiry with different standards of validity?
5. What is the real relationship between the medium of
reality and the objects, properties and processes it
contains?
Most importantly, the “reality” of this relationship
implies that it occupies reality.
So reality comprises a medium everywhere
containing its own containment mapping, and the
mapping is intrinsic to reality.
Containment as a Mapping
6. But to “everywhere contain a mapping” is to
contain the mapping at every point, which implies
that the mapping may be contracted or confined
to a point, which in turn implies that the mapping
is really an identification.
The spatial medium and its material contents are
essentially the same.
Contracting the Mapping
7. .
The Reality Principle
Where reality is defined in terms of dynamical relevance,
everything relevant to reality is contained within reality. Since
anything sufficiently “real” to affect reality is a part of reality by
definition, reality displays closure with respect to every
conceivable real function or property. Since this includes
containment, reality is distributed over its contents as a medium.
8. • The same reasoning applies to way the medium
of reality contains the laws of nature, and the way
in which the laws of nature define, explain or
“descriptively contain” their natural contents. In
principle, these forms of containment are dealt
with in the branch of logic called model theory.
• These containment mappings must be
contracted just like the one between reality and its
contents.
Model Theory
9. In model theory, theoretical “languages” are
interpreted in universes. Where the descriptive content
of a theory is set-theoretically contained within the
universe of the theory, theory and universe intersect.
But in the limiting case where the theory being
“interpreted” consists of natural law, i.e. universal
patterns and structural relationships actually existing in
reality, intersection becomes identity.
Reality Models Itself Through Its Laws
10. • The CTMU simply pushes model theory
to this limit, contracting all containment
mappings and generating a “metatheory”
from which nontrivial implications may be
extracted regardless of whether the laws
of nature are yet known.
• In other words, the CTMU creates a
logical metatheory about a “theory of
everything” consisting of the actual laws
of nature, whatever they may be, and
extracts the implications.
The CTMU Takes it to the Limit
11. Metalanguage L’ (semantic mapping:
explanation/interpretation) [Meta Object
Domain U’ (Object Language L Object
Universe)]
…where L and L’ are descriptive constructs (e.g.
classes of formulae) with semantic content in U
and U’, and the semantic mapping carries (L,L’)
into (U,U’) and vice versa.
12. Logically, contracting the mapping between reality
and its contents means contracting the mapping
between the containing and contained aspects of their
union. This requires that space and matter coincide,
and since we perceive space as empty and matter as
solid, that there be a temporal alternation between the
spatial and concrete aspects of matter.
This leads directly to conspansion and conspansive
duality, central concepts in the CTMU.
Conspansion
13. Hume’s problem of induction expresses the fact that
any attempt to empirically establish universal laws is
circular because it requires that the uniformity of
nature be assumed in advance.
This implies that any attempt to validate the
existence of teleology requires a basis in logic and
mathematics…not just a theory-to-universe mapping,
but an identity relationship between the laws of logic
and empirical processes and phenomena.
The Problem of Induction
14. Armed with the CTMU, science does not need to
seek explanations outside the reality to be explained,
thus involving itself in the paradox of seeking
“explanations” that are by definition “unreal”
(because not in reality).
Instead, explanatory logic is built into the syntactic
medium of reality, and valid intrinsic explanations
become possible.
The CTMU Solution
15. Now let’s assure ourselves that we are not out of
line with the hard sciences by having a look at what
the world’s premier physicist, J.A. Wheeler, thinks
about the shape a true theory of reality should take
(bearing in mind that prior to the CTMU, there was
no known mathematical structure capable of
supporting all of the following properties).
The CTMU Solution
16. The Self-Excited Circuit: Wheeler asserts that
reality is analogous to a “self-excited circuit”.
Essentially, this means that reality possesses
dynamical reflexivity and closure. Reflexivity plus
closure means that the reflexive mapping of
reality to itself is intrinsic to the system. This
means that causality is intrinsic to the system, i.e.
that the system is self-deterministic or “self-
caused”.
John Wheeler’s Wish List for Reality Theory
17. The Participatory Universe: Wheeler asserts
that the universe is “participatory”, which means
that observers affect what happens through
observation. Where the “observer” concept is
generalized to quantum events, the events of
which reality consists become “self-observations”
of reality. It follows that reality is essentially a self-
observational system in which the observational
mapping between observers and events is
identified with the events themselves.
John Wheeler’s Wish List for Reality Theory
18. Reality becomes its own observer. But since
generalizing the observations of human observers
to include quantum events induces a parallel
generalization of the inner (cognitive) dynamics of
observers, reality becomes “mental” in a
generalized sense. That is, it becomes capable of
generalized self-observation and self-cognition,
where “self-cognition” is associated with intrinsic
implementations of the laws of physics.
John Wheeler’s Wish List for Reality Theory
19. Law Without Law / Order From Disorder:
Wheeler asserts that there is no preexisting order
in terms of which the order of the universe, as
captured in its laws, can be explained. In keeping
with the Self-Excited Circuit and Participatory
Universe concepts, the universe must be
intrinsically self-configuring, owing no explanatory
debt to anything outside itself. It follows that the
universe supports whatever properties and
processes are required to this end.
John Wheeler’s Wish List for Reality Theory
20. It from Bit: Reality educes and/or produces itself
in the form of information residing in quantum
events. Concisely, “physics gives rise to observer
participancy, observer-participancy gives rise to
information, and information gives rise to
physics.” Because information consists of what
Wheeler calls “binary yes-or-no indications”, this
amounts to saying that reality is based on 2-
valued logic (2VL), and since 2VL is based on
logical tautology, that reality theory should be
based on logical tautology.
John Wheeler’s Wish List for Reality Theory
21. Like all theories, reality theory is a language. Is
there a theoretical language meeting all of Wheeler’s
criteria? Yes. Basically, this language expresses the
fact that any system with the profound degree of self-
containment posited by Wheeler must itself be a
language…a new, completely self-contained kind of
language that configures and processes itself.
To do this, it requires certain features and principles
beyond those enumerated by Wheeler.
Reality is a Language
22. 2VL is a definitional coupling of functors and truth
values reflecting inclusion or non-inclusion in
cognitive-perceptual systems. Its invariants are
tautologies, functorial relationships of sentential
variables that are always true (conceivable and
perceivable) regardless of the truth of the
sentential variables themselves. Thus, they
function as guideposts in the search for truth.
Because reality theory applies the truth concept
to the cognitive-perceptual system called “reality”,
it must be based on a “supertautological”
extension of the tautology concept.
Supertautology
23. A logical tautology possess three distinctive
properties: it is comprehensive (descriptively
universal), closed under recursive self-
composition, and consistent on the syntactic and
semantic levels. Since logic is the theory of truth,
the way to construct a valid theory is to start with
logic, adjoin tautological rules under which truth is
heritable, and logically extract the implications. A
theory of reality constructed in this way is called a
supertautology.
The 3 C’s
24. In a supertautological theory of reality, it is unnecessary to assume the
uniformity of nature with respect to certain kinds of generalization.
Instead, such generalizations can be mathematically deduced. In
conjunction with certain other principles, supertautology can be
regarded as correspondent to Wheeler’s It from Bit criterion.
25. Since any perfectly self-contained reality is without
an external background or array against which to
evolve either geometrically or like a discrete cellular
automaton, generative grammar is the model of
necessity…specifically, a self-contained kind of
generative grammar which includes its own
processors. Such a grammar is called a grammar,
and the language it generates is called SCSPL (for
Self-Configuring Self-Processing Language).
Self-Configuring Self-Processing Language
26. SCSPL, the ultimate intrinsic language, is defined to possess certain
important features required of reality theory. All of its syntactic and semantic
functions, including generation, configuration, (read/write) processing, reference,
attribution, definition, description, explanation and interpretation, are intrinsic to
it; its terms and other ingredients are coupled in a closed network connected to
nothing external.
SCSPL syntax is hologically distributed.
In SCSPL, that which is described is what does the describing. SCSPL
processors produce expressions consisting of their own states, and SCSPL
grammatical events coincide with interactions among processors.
SCSPL can be conveniently factored into “sublanguages” LO and LS which can
be regarded as respectively objective and subjective, simulated and simulative,
or spatial and (spatio)temporal.
SCSPL can be regarded as correspondent to Wheeler’s Self-Excited Circuit
criterion.
Self-Configuring Self-Processing Language
27. grammar incorporates a 2-phase process called
conspansion, a grammatical alternation between
an interactive “production” phase (inner
expansion) and an actualizative “selection” phase
(requantization). While we usually see reality
“from the inside out”, conspansion “turns reality
outside in”, inverting it so that evolution occurs
within the evolving objects themselves.
Conspansion puts spacetime in extended self-
contact or “superposition”.
Conspansive Duality and Extended Superposition
28. Conspansive spacetime resembles a layering of
Venn diagrams on which its geometry is “self-
simulatively displayed”. The fact that successive
states of objects are in direct and persistent
contact permits the formation of stratified,
spatiotemporally-extended causal relationships.
Conspansive duality, through which reality
inwardly and interactively “observes itself”, can be
regarded as corresponding to Wheeler’s
Participatory Universe criterion.
Conspansive Spacetime
29. Just as a perfectly self-contained language must be
self-processing, so must the information of which it
consists. This leads to the concept of self-
processing information. Self-processing information
is another implication of Wheeler’s It from Bit
criterion; where “It” is dynamic, and “Bit” is its
source, “Bit” must be dynamic as well. Reality thus
consists of a single “substance”, infocognition, with
two aspects corresponding to transduction and
being transduced. Describing reality as
infocognition thus amounts to dual aspect monism.
Infocognitive Monism
30. Retooling the information concept for reality-
theoretic application consists of three steps:
1. Equip it with the means of its own transduction or
transformative processing, thus reposing it in SCSPL
infocognitive syntactic operators.
2. Extend its bit structure to accommodate logic as a
whole, including predicate logic, model theory and
language theory, broadly including the theories of
mathematical languages, metalanguages and
generative grammars.
3. Generalize it to an ultimate ancestral medium,
telesis or infocognitive potential, from which cognitive
syntax and its informational content are cross-refined
by telic feedback.
31. The Telic Principle, a logical extension of the anthropic
principle appropriate for a supertautology, asserts that the
universe must provide itself with the wherewithal to self-
select from UBT.
It is accompanied by supporting principles and models
which show that the universe possesses the necessary
degree of circularity, particularly with respect to time.
In order to function as a selection principle, it generates
a generalized global selection parameter analogous to
self-utility, which it then seeks to maximize.
The Telic Principle
32. Certain properties of the reflexive, self-contained
language of reality – that it is syntactically self-
distributed, self-reading, and coherently self-configuring
and self-processing – respectively correspond to the
traditional theological properties omnipresence,
omniscience and omnipotence. Because the physical
(directly observable) part of reality is logically
inadequate to explain its own genesis, maintenance,
evolution or consistency, it alone is incapable of properly
containing the intelligent supraphysical Being whose
existence is implied by these properties.
The 3 O’s
33. Time and causality have been problematic concepts
throughout the history of science and philosophy. Just
two kinds of causality have been theoretically utilized:
extrinsic and/or random. But extrinsic causality requires
an appeal to something outside that which is caused,
while randomness is no causality at all; a random event
or property is just another unacceptable instance of
“spontaneous generation”. A truly self-contained
universe must utilize a third option: self-determinacy.
Self-Determinacy
34. Telic recursion occurs in two stages, primary and secondary (global and
local). In the primary stage, universal (distributed) laws are formed in
juxtaposition with the initial distribution of matter and energy, while the
secondary stage consists of material and geometric state-transitions
expressed in terms of the primary stage. Telic recursion, which lets reality
refine itself from a primitive realm of infocognitive potential called unbound
telesis or UBT, permits the realization of Wheeler’s Law Without Law
criterion and is essential to observer-participation.
Telic Recursion
35. The message of the CTMU regarding evolution
is “meta-Darwinian”: the universe evolves by
hological self-replication, self-evaluation and self-
selection, but at the same time is intelligently self-
designed. In the CTMU, design and selection are
generative and restrictive duals associated with
alternating phases of conspansion. It is this
coupling of self-selection and self-design that
yields nature. Biological evolution is simply a
reflection of the evolution of reality itself, a process
of telic recursion mirroring that of the universe as a
whole.
The CTMU and ID
36. The meta-cybernetic mechanism of evolution is
telic recursion, an atemporal process which sets up
a stratified dialectic between the biological syntax
of an organism and its state relative to the
environment. Though subject to noise, interference
and competition, this process tends to maximize
the utility of the universe and its inhabitants
according to the Telic Principle. Instead of passing
the explanatory buck to some future reduction, the
CTMU places evolutionary biology in a
fundamental, self-contained model of reality
No Explanatory Debt
37. • The CTMU is a reality-theoretic extension of 2-
valued logic possessing logical truth.
• The CTMU is a necessary formulation of teleology in
an analytically self-contained reality.
• The CTMU explains otherwise inexplicable
observations, e.g. accelerating cosmic expansion.
• The CTMU is in excellent accord with reality-
theoretic criteria advanced by (arguably) the world’s
senior physicist.
• *The CTMU can be viewed as a theory of the
mathematical structure of a new mathematical object,
SCSPL, which provides a basis for explicating the
relationship between science and mathematics.
Summary (Part I)
38. • The CTMU embeds current models of reality to the extent
that these models have not already been pushed beyond
their explanatory capacities. Meanwhile, it extends them in
such a way as to make room for teleology and thus for
Intelligent Design while offering a reconciliation between
Intelligent Design and an enlightened version of natural
selection.
• In parsimoniously eliminating semantic separation on the
syntactic level of SCSPL, the CTMU places mind in contact
with reality and thereby eliminates the severe problems
associated with Cartesian mind-matter dualism.
• The CTMU uses model-theoretic concepts to unite science
and spirituality, not so much by “bridging the gap” between
them as by simply eliminating the separation. Accordingly,
the CTMU is the basis of a new logical strain of theology.
(And so on.)
Summary (Part II)
67. To my mind, there must be at the bottom of it all,
not an utterly simple equation, but an utterly simple
IDEA. And to me that idea, when we finally discover it,
will be so compelling, and so inevitable, so beautiful,
we will say to each other, 'How could it have ever been
otherwise?'
- John Archibald Wheeler