absolute

absoluteness

our absoluteness is:

• an anthropocentric view
  • from within a model
  • of an uncertainty relationship
  • twixt consistency and completeness
  • co-within reality, and
• the absoluteness of a truth value assessment is an uncertainty relationship twixt truth and falsity in some context, and
• the absoluteness of a truth value depends upon the uncertainty relationship between the consistency and completeness of a model in a context in which one assesses that truth value

In quantum reality flux is absolute:

• Absolute change
  • Consistent: Always changes
  • Complete: Changes all

our actuality is:

• the actual part of reality
  • the known part of actual reality and
  • the unknown part of actuality

our nonactuality is:

• the nonactual part of reality
  • unknown reality

for us, an axiom is an assumption

every assumption:

• defines a quantonic interrelationship twixt selected models and their infinity of potential contexts, and
• defines a quantonic interrelationship twixt selected contexts and their infinity of potential models, and
• is true in an infinity of contexts, and
• is false in an infinity of other contexts, and
• is both true and false in an infinity of yet other contexts, and
• is locally true in any selected, consistent model, and
• is omnivalent in any incomplete, general model.

for us, an axiomatic formulation is a set of axioms

our completeness is very close to Gödel's completeness, i.e., a complete axiomatic formulation states all omnivalent truths in general (omnicontextual) reality at a Planck instant

• any local model is incomplete
• a complete general model is complete
• any incomplete general model is incomplete
• completeness complements consistency; i.e., a more complete model is less consistent
• greater completeness may be achieved in an axiomatic formulation (see model) at the expense of consistency

our consistency is very close to Gödel's consistency, i.e., a consistent axiomatic formulation always states the omnivalent truth given general (omnicontextual) reality at a Planck instant

• any local model may be consistent
• a complete general model is inconsistent
• any incomplete general model may be consistent (reviewer note: it is probable that no finite sentient intellect could demonstrate this, however)
• consistency complements completeness; i.e., a more consistent model is less complete
• greater consistency may be achieved in an axiomatic formulation (see model) at the expense of completeness

for us, any model (see model) in axiomatic quantonic interrelationships with a selected (contrived) local reality or general reality establishes a context

• an infinity of different contexts may exist in an infinity of local realities
• models may establish contexts in local reality
  • in a local reality, contexts may be consistent, always at the expense of completeness
• an infinity of different contexts exist in general reality
• models may establish contexts in general reality
  • a complete context would be all of general reality
  • in general reality, a consistent context would be so tiny and so constrained as to have little use as a model
  • in general reality, all contexts assumed by sentients with finite intellect are both inconsistent and incomplete, i.e., they do not (are implicitly incapable to) always state the truth and they do not (are implicitly incapable to) state all truths

See our Quantonic Equals Sign.

Quantum 'equality' has no ideal, Aristotelian classical counterpart. Closest meme to 'equality' in quantum reality is coherence. Coherence may be locally 'whole' (e.g., BECs), or partial (e.g., fermionic spin coherence. See our tells.). In a sense of persistence coherence is temporarily privileged stasis which appears 'identical' from Planck moment to Planck moment, but for a limited number of Planck moments.

Also see our more recentand 'issi.'

our reality exists as a quantum reality

existence is:

• omnicoherent
• omnicontextual
• omnivalent
• omniversal
• etc.

our reality has no concept of nonexistence

the unknown exists in our reality

a proposition may be (classically) assessed false via any of the following:

• contextual inconsistency
• self contradiction
• empty subject
• contradiction
• fails truth conditions
• fails supposition
• fails entailment
• fails all p forms

it is the author's own heuristic that we do not, at the end of the second millennium, know how to assess falsity non-classically in the new reality — this is a major concern — it appears that local falsity may be assessed ~classically — clearly, nonlocal, incomplete, general, or absolute falsity may not in general be assessed in a classical sense or by classical means

what can we say, generally, about any classical proposition adjectively?

any classical proposition which can assess either ideal verity or ideal falsity is effective

so a great adjective for 'proposition' is 'effective'

Doug - 28Apr2008.

We believe Henri Louis Bergson adequately addresses this issue in his discussions re: "...[classical] negation is subjective." Also see negate, or "to falsify." And see our two other versions of 'not:'

• Not, and
• not.

Classicists view false as 'opposite' true: dichon(false, true), EOOO(false, true). This is a major classical deign to feign. Every quantum 'truth' has unlimited 'falsities.'

See false, true, opposite, and our SOM Bases of Judgment (see bright yellow cells there, view bottom-up).

Doug - 10Jul2007.

all contexts may interrelate via actuality and nonactuality

interrelationships may form among:

for us a model is one or more contexts

• defined by axiomatic formulations which are archetypal specifications for each of the contexts which compose a selected model
• models are quantons
• quantons may be described using models

for us, a local model:

• is a model interpreted in a local reality
• may be consistent
• may be constructed by finite sentient intellect

for us, a general model may be either:

• a complete general model, which:
  • is a model of all contexts interpreted in general reality
  • is complete
  • is inconsistent
  • may not be constructed by finite sentient intellect
• or, an incomplete general model which:
  • is a local model interpreted in general reality
  • is incomplete
  • may be consistent

all objects in our reality are quantum objects

a quantum object is both its actual part and its nonactual complement

Comment: The term 'object' carries much SOM legacy baggage. We use the new reality term 'quanton' when we can without confusing those who still reside in SOMland.

for every paradox, one or more models exist which eliminate the paradox

one may construct models which produce paradoxical propositions

a statement about reality conditions in a model

what can we say, generally, about any classical proposition adjectively?

any classical proposition which can assess either ideal verity or ideal falsity is effective

so a great adjective for 'proposition' is 'effective'

Doug - 28Apr2008.

'quanton' is our favored new-reality, Quantonic term for 'quantum object'

• all of reality is one huge, complex quanton
• every quantum object is a quanton
• simple quantons may cohere to form complex quantons
• quantons may be purely nonactual
• quantons may be mixed, both actual and nonactual

quantonic is an adjective we use to describe the new reality's

• unique terms and semantics
• quantum objects
• interrelationships
• etc.

for example reality is quantonic, i.e., there is a complementary interrelationship twixt actuality and nonactuality which we can show with the simple notation:

reality = quanton(actuality,nonactuality)

Quantonics is the study of the science and philosophy of complementary interrelationships.

for us, reality is:

• both actual reality
  • known actual reality
    • anthropocentric actuality
  • unknown actual reality
    • nonanthropocentric actuality
• and nonactual reality

for us, general reality is:

• reality

for us, local reality is:

• only apparently consistent
  • assumes ideals which are not real
  • assesses propositions consistently except when general reality asserts reality conditions outside the context of the local reality
  • for example:
    • mathematical induction works in an ideal nonphysical context, but fails in a general reality which includes an actual, physical part of reality
    • mathematical objects...
• a contrived (anthropocentric) subset of general reality which permits finite intellect sentients to construct and assume apparently consistent models,
• for example, one might assume the following as axioms for a contrived local reality:
  • deny nonactual reality
  • deny unknown actual reality
  • deny nonanthropocentric actual reality
  • deny quantum flux changes to actual reality
  • declare known, actual reality is substance
  • insist on analytic determinism
  • etc.

a proposition's truth value may be assessed via the following:

• local consistency
  • a consistent local model always states the truth
  • a consistent, incomplete general model always states the truth
• nonlocal absoluteness
  • a nonlocal model exhibits uncertainty relationships twixt:
    • consistency and completeness
    • truth and falsity
• general completeness
  • a complete general model states all truths
  • a complete general model is inconsistent

a proposition may be assessed provisionally true via nonfailure of a local context's conventional truth conditions

what can we say, generally, about any classical proposition adjectively?

any classical proposition which can assess either ideal verity or ideal falsity is effective

so a great adjective for 'proposition' is 'effective'

Doug - 28Apr2008.