Would you like to make this site your homepage? It's fast and easy...
Yes, Please make this my home page!
BACK TO SITE PLAN
Site Plan
FA.GLOSSARY
NOTE: Glossary is edited and refined in parallel with
Essay's contents. It is still incomplete.
Terms in curly braces are defined further in the
glossary, eg. {#Space}.
-Observation or Event: {Dialectic Dichotomy} of Terms
Subject/Object or Observer/Observandum. Observation
may be imagined as a mirror in which Subject sees
himself observing Object. Relativity of Observations
makes them essentially Fuzzy (uncertain).
-Detector: Physical Observations occur necessarily via
some physical detector, which is an integral part of
the Observation and contributes to its uncertainty.
Even mental experiments have to take it always into
account.
-Einstein's Covering Principle: Physical distance is
measured, also in mental experiments, with physical
rods complying with physical rules, such as the
Lorentz Contraction. In curved {#Space} the measuring
rods embrace the local curvature.
-Phenomenon, fundamental concept of Phenomenology:
particular spatio-temporal structure of Events.
-Aspects (of Phenomenon): Events composing it.
-Noumenon, fundamental concept of Noumenalism: a
"Thing" apparently underlying the Phenomenon and its
Aspects; existing "in itself" independently of them.
-Entity, basic linguistic and logical term, afflicted
by the fundamental homonymy: synonym of Phenomenon or
Noumenon respectively in Phenomenal or Noumenal
Weltanschauung.
-Attribute or Property: linguistic and logical synonym
of Aspect.
-Noumenalism considers Entity and Attribute as
ontologically distinct constructs. Entity is a
"Noumenon", a "Container", which may receive and
"have" Attributes but exists as such, even empty and
prior to receiving them. Kant called Noumenon
"Ding an sich" ("thing in itself) and banned it from
cognition and rationality. Noumenalism is nothing else
than {Naive View} (aka "Naive Realism") dressed up in
highbrow verbiage.
-Copula: natural languages express Naive View with the
noumenal statements predicating (assigning) Attributes
to subject Entity with help of copula, usually the
auxiliary pseudo-verb "be". Fallacious inflections of
the copula result in empty-copular non-propositions
like "all that is" and phantasms like "Being". They
devastated Philosophy more than anything, muddling the
underlying ideas and leading astray their explication.
Eg: "Cogito Ergo Sum", Heidegger's "Sein und Zeit",
Sartre's "L'Etre et le Neant".
-Phenomenology considers Entity as structure of
Attributes and nothing else. A single Attribute is a
full-fledged Entity and "Entity void of Attributes"
is for Phenomenology a nonsense.
-Referential: Entity solidary with an Observer
(a human or a technical detector).
-Reference System: A system of coordinates associated
with a Referential.
NOTE: The concept of Referential is indispensable for
imaginary creativity and understanding. Let's mention
the role of spinning disk or free falling box in
derivation of General Relativity. Imaginary
referential precedes its mathematical formalization
with help of some Reference Systems. After this
formalization it still carries the gist of a Model,
which should be understandable without mathematical
details. We don't use the term "reference frame",
misleading in its suggestion of some "container" of
different nature than its contents. We try to
introduce some order into the muddled terminology.
Einstein himself did not care too much about
metalanguage and used indiscriminately such terms as
"reference system", "reference frame", "reference
coordinates", "reference body", "reference object",
etc.
-Phenomenal Equivalence (P-Equivalence): Association of
Aspects of a Phenomenon (Field Density and #Space curvature
are P-Equivalent Aspects of the Phenomenon "Cosmos").
P-Equivalence is often confused with Causality. Its customary
to say that "Field curves #Space", which is false, as they
are both "equally ranked" Aspects of a Phenomenon, none
causing the other. Continuous Field wave and Discrete photon
are P-Equivalent Aspects of the Phenomenon "Light".
While the P-Equivalence Field/#Space manifests the deepest
physical Phenomenon "Cosmos", the fundamental Phenomenon of
human Universe of Discourse, viz. "Awareness", manifests
itself via its P-Equivalent aspects "Mind" and "Brain".
-Polar Structure of Phenomenon: its apparently
contradictory, but in fact complementary,
P-Equivalent Aspects or Poles, eg a magnet.
-Dialectic Dichotomy (short "Dichotomy"): synonym of
Polar Structure, appropriate outside of Physics and
"hard" disciplines. Terms of Dichotomy are synonyms
of Poles.
-Field: dynamic polar structure of Continuity and
Discrete Singularities thereof, observable via forces
it exerts on detectors.
-Singularity taken in physical sense denotes vicinity
area of mathematical singularity where Continuous
Field formulas cease to hold. For communicability's
sake we may use common language terms "thing",
"particle", "matter", etc. always remembering that
they denote Field Singularities.
-#Space, abstract topological concept such as Riemann
#Space, synonymous with "Domain" or "Class", sharply
distinct from its unfortunate homonym, the "space" of
direct perception. #Space and Field are structurally
homomorphic and P-Equivalent.
( DERIVATION OF GENERAL RELATIVITY, Steps 1, 2 ,
last paragraph Field and #Space").
#Space is Metric when all its dimensions have the same
measure. Metric #Space admits distance, angle and
rotation. Non-metric or Affine #Space does not admit
them.
-Mind encompasses 3 Domains ( BAA.STRUCTURE OF MIND ):
1.Sensorium, Domain of 2D sensations, evoking Plato's
shadows on cave's wall.
2.Imagery, continuous domain of 3D space Patterns of
Images evolving in time, created from sensations by
Morphogenetic faculty of Mind and appearing
illusorily to awareness as "objects" of "reality".
They evoke Plato's external Ideas projected into the
Cave.
3.Symbolics or Abstractions, domain into which Images
are mapped as discrete Symbols interrelated in
symbolic structures such as languages and Logic.
-Reflection, or Lateral Thinking comprises:
1.Symbolizing or Mapping Image Patterns into Symbolic
or Abstract Structures.
2.Understanding, or recurring symbolic Structures to
Imagery Patterns.
-Meaning (of Symbolic or Abstract structure): its
associated Imagery Pattern.
-Phenomenon #Space (PS): Synonym of Imagery pertinent
to scientific Modelss. It's unique per observer and
Model independent.
-Abstract #Space (AS): Synonym of Symbolics pertinent
to scientific Models.
-Transcendency: Hypothetical Territory, often called
"reality" of which Imagery would be a Map. Rationality
does not deny Transcendency only considers it
inaccessible to cognition and, as such, excludes it
from the rational Universe of Discourse.
-Naive View: confusion of Imagery with Transcendency,
often denoted by "Naive Realism". We avoide this
latter term, as it seems to imply some opposite
concept of non-naive "realism" whose meaning, if any,
escapes us.
-Extended Locality (E-Locality): Two PS Events are
"locally related" when their AS projections are
continuously transportable via a geodesic of Model's
#Space to the same "location" or point of this #Space.
"Locality" refers in our essay to "E-Locality", unless
otherwise specified. Locality is Model dependent.
-Causality: Given locally related Events A,B we shall
say that they appear respectively as "Cause" and
"Effect" if B has never been observed without A, while
A might have been observed without B. Causality
Relation transforms into Implication Relation of
Model's AS. Thus, we consider Causality as covariant
with Implication: to say "A is cause of B" is for us
equivalent with "A implies B".
-Encompassment: Entity consisting of a single
Attribute A is more general than Entities AB, AC, ABC,
etc., which it "encompasses" as its "sub-entities".
In general, Entity consisting of a given structure of
Attributes encompasses all Entities sharing this
structure in addition to some other Attributes.
Encompassment is a particular case of Implication.
-Cognitive Network (CN): Symbolic network whose nodes
are Entities or Statements and edges - Implications.
It is the rational replacement of the naive,
noumenal Logic in all its established shades.
In the particular case of Implications reduced to
Encompassment CN is the rational replacement of the
naive, noumenal Set Theory in all its established
shades.
-Certainty: for the sake of consistency with Fuzzy
Inference we replace the traditional "truth/falsity"
variable with "Certainty" ranging over 0-1,
discretely in exact and continuously in Fuzzy
Inference. Extreme Certainty values 0 and 1 may be
called respectively "falsity" and "truth", qualifying
corresponding nodes as "false" and "true".
-Inference, a "two-way" procedure encompassing
Deduction and Induction scanning CN respectively
top-down and bottom-up.
-Deduction sets exact Certainty of CN nodes in
function of their superior neighbors (deductive
premises). Top nodes or "Presumptions" have no
deductive premises and are granted as true.
-Induction sets fuzzy Certainty of nodes in function
of their inferior neighbors (inductive premises) and
connecting operators. Bottom nodes lack inductive
premises and have to be set by Observations or Facts.
Inductive scan verifies or falsifies CN's nodes and,
ultimately, its top Presumptions.
-Theory: a deductively consistent CN instance, founded
in its top Presumptions.
-Axioms: factually controllable and falsifiable
Presumptions of a Theory.
-Dogma: Presumptions of a "dogmatic" Theory lacking
bottom potential facts and thus not admitting inductive
verification/falsification.
-Model: a Theory bottomed by potential facts and
founded
1.in Axioms,
2.in Continuum supporting Extended Locality and
covariance of Causality-Implication.
