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Mieli dalyviai! Visa mano kūryba ir kartu visi šie puslapiai yra visuomenės turtas, kuriuo visi kviečiami laisvai naudotis, dalintis, visaip perkurti. - Andrius



See: Assumption, {{Concept}}, {{Perspective}}, AlgebraOfViews

===What is a supposition?===

A supposition is:

  • what is left when we remove the one who supposes.
  • that which can be the same or different
  • that which can be [KeepSeparate kept separate], which is to say, can be given a {{Scope}}.
  • something we suppose
  • a hypothesis

A supposition is perhaps the most basic notion in an AlgebraOfViews.


I rely on all manner of "suppositions", especially "constructive hypotheses" which allow us to make progress on hard problems like "knowing everything" by saying, "Well, if it's possible to know everything, then it must be as easy as possible, otherwise it's hopeless. So let's look for the knowledge in the most obvious places, like the wisdom of human life." Or, for example, in communication (when we know nothing about our partners) it is constructive to assume that any syntactical constraints on communication (like "connected" or "not connected") are universal, and leverage them in our semantics, in the meaning of what we say. Ultimately, even "I" or "God" are suppositions that we sustain, ready to collapse at any time.

===Category theory===

Suppositions are very natural in Category Theory as they are much like statements and there are all manner of logics for them. The key difference is that suppositions don't need to have any particular form. They are pre-verbal. For example, the person I mean by "I" is simply a "supposition".

===Perspectives and Concepts===

A {{Perspective}} is a supposition that is attributed to a {{Viewer}}, so that responsibility is with the viewer. The perspective goes beyond itself, and so it can give {{Focus}}.

  • A {{Concept}} is a supposition that is attributed to the {{Viewed}}, so that responsibility is with the viewed. The concept keeps to itself, is one with itself, and so take {{Focus}}.

Going beyond is an activity that is very natural to God and that nicely describes how a perspective is reaching out beyond itself.

Note that a supposition may be both a Perspective and a Concept - and that this is all pre-logical - so we're able to stretch logic.


See also: AlgebraOfViews, ConstructiveHypotheses, {{Perspectives}}, {{Concepts}}, {{Overview}}

  • A supposition is an extension of a {{View}}.
  • A supposition is an instance of a view going beyond itself.
  • A supposition is that which can be kept separate.
  • A supposition is a perturbation of a {{Scope}}.
  • A supposition is a wishing. It is a representation in that a wishing is a representation of the structure of God. Love is the unity of wishings, hence love is that by which suppositions are the same.
  • When a supposition goes beyond itself, into another supposition, then it is a perspective.
  • When a supposition keeps within itself, then it is a concept.
  • A view is the collection of perspectives that lead out from a supposition. It is what keeps them all separate. A view may be thought of as a parser or an amplifier. It is the capacity to be engaged.
  • An unlimited view is that for which the supposition is all of its perspectives. An unlimited view engages through and identifies with them all equally, unconditionally (it is nondeterministic). (God is all of his possibilities.)
  • A limited view is that for which the supposition is one of its perspectives. A limited view engages through and identifies itself with any one of its perspectives (it is deterministic). (I am one of my possibilities.)
  • A limited view is, so to speak, a subset of itself, whereas an unlimited view is not a subset of itself, hence contradictory, as in Russell's paradox.
  • CategoryTheory helps us consider composition of views and what structure they preserve. Composition of views is associative in that it respects stepping in and stepping out.
  • A view preserves {{Love}} - being one with. A view may 'see', may be engaged, more or less. We expect that:
  • An unlimited view of a limited view may see more than simply the limited view by itself, for example, as a post-parser that is more sensitive, in that it is able to uncover a message that was jibberish or noise to the pre-parser.
  • A view may see more by taking up other views, focusing and thereby intensifying its own view.
  • A view may also see less by taking up another view if it restricts its view, if there is a reduction in transparency.
  • A view may, in the right context, take up views so as to cancel itself and escape itself.
  • A sequence of views may, in the right circumstances, be cut in half and switched around, thus emphasizing symmetry or asymmetry, and in effect, allowing for a switch in direction. For example, the sequence human-God-human-God-human may be broken and switched around, thus identifying God (God) with God (good), and human (unknown) with human (known). Or, for example, {{Knowledge}} as the truth of concepts is related to God as the concept of truth in that it uncollapses structure by presenting it in its commuted order.
  • A view may, in the right circumstances, look within itself, as Suhit Dey notes, rather than outside itself, and thereby initiate independent thinking, returning to one's thoughts, climbing out of oneself, ultimately finding a fixed point, canceling itself out. An abstraction can be understood as immersion, thus reversing the direction of the view. (In category theory, this is the idea of duality.)

The goal is for a one-track, deterministic thinking to be able to take up a multiple-track, nondeterministic thinking.

Compare suppositions with claims. Claims are statements of what is true, whether suppositions are just statements. Perhaps claims are second order suppositions, they come from views of views.

So I would like to express God's understanding of the human in a language that a human can understand. Key to that language is the relationship between {{Love}} and {{Understanding}}:

  • {{Concepts}} are what are one with themselves
  • {{Perspectives}} are what go beyond themselves
  • perspectives distinguish concepts, they express who goes beyond to who
  • {{View}} is keeping separate of perspectives
  • {{Understanding}} is having a view, is keeping separate of concepts
  • concepts are, as such, with regard to a domain (all, any, a, none) wherein they are self-contained (the smaller the domain, the more they are self-contained, so there are fewer concepts)
  • perspectives are, likewise, with regard to a domain (all, any, a, none) wherein they are not-self-contained (the smaller the domain, the less they are not-self-contained, so there are more perspectives)
  • understanding is both immersed (in that concepts are in themselves) and abstracted (in that it keeps the concepts separate)
  • understanding is with regard to a domain - the smaller the domain - the more intense the understanding - the fewer the concepts and the more the perspectives)
  • view preserves understanding
  • view maps understanding to understanding
  • love is the coinciding of perspectives that a view entails - love is a view - the more intense a view, a love, the more perspectives that it brings together - love is an equivalence relation on perspectives
  • the equivalence is with regard to a scope of perspectives (all, any, a, none) with regard to which the perspectives/concepts are distinguished
  • love is more intense when it requires less scope to make the distinctions - and more perspectives bear upon fewer concepts
  • consequently, most intense is when love is the concept and perfection is the quality, and least intense is when God is the concept and good is quality; when good is the quality, then there is the most variety of concepts, but the least variety of perspectives
  • understanding and love are forms of consciousness - each of them adds three perspectives (as with the [AddThree operation +3]) to the domain so as to have separateness. The three perspectives allow for concept, quality and separateness (as in God, good and eternal life - where the domain is life, the goodness of God).
  • divisions of everything are natural as such (as frames for understanding) but perhaps also as views (morphisms) - leading from whole to perspective (as with topologies) - or from perspective to whole (as with representations.


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Puslapis paskutinį kartą pakeistas 2014 lapkričio 09 d., 16:30