How might we best define concepts, ideas, structures and such? Structure is relevant for making definitions.

* Neapibrėžtumas veda iš nulybės į trejybę. Apibrėžtumas veda iš ketverybės į septynerybę, tarpe - būklėje - apibrėžtume puoselėja nulybę, vienybę, dvejybę, trejybę.

[[Neapibrėžtumas]], [[Apimtys]], [[Žinojimas]], [[Požiūrių sudūrimas]], [[Tiesa]], [[Suvestinė]], [[Apimtys]], [[Požiūriai]], [[Helmut Leitner]], riba, ribota, neribota, laisvė, pirmyn, atgal, žvilgsnis, išėjimas už savęs, išskyrimas, deterministinis, miglota, Algebra of Distinguishability.

* Suvokiamumas, suvoktumas, kaip kad Dvasia bendrai suvokta.

* Apibrėžimas (požiūrių lygtis) glūdi aštuongubame kelyje kartu su ketverybe.

* Pirminiai apibrėžimai išplaukia iš būties klausimo, tad yra susiję su dvejybės atvaizdais. Būties klausimas veiksniais +3, +2, +1 apžvelgia padalinimus -1, 0, 1, tad apžvelgia atitinkamus laisvės, Dievo ir tvarkos klausimus. Būties klausimas iškyla kada Dievas nebūtinas. Jisai grindžia Dievo būtinumą.

In my diagrams I've found it helpful to use colors.

* Red indicates what I think is built into my mind, but I can't make coherent because ultimately it's inaccessible.
* Green indicates what I think is built into my mind, and I can make coherent because it's accessible, and in fact, is evident in the world.
* Yellow indicates what is not built into my mind, is optional, but is accessible, helps me think things through in a new light.
* Blue is not given, not accessible, just a formalistic label.

I'll try to share more about my own outlook. What I'm trying to do is counter to how we're conditioned to think. Hopefully, I can help myself and others grow in our thinking. This means that I will diverge from how we usually think, and also, that I want, at some point, to relate to how we usually think, so that I and others might grow beyond that. This means that we'll give up how we usually think, or at least, expand beyond it, which is to say, give up on the restrictions that we place on our thinking.

Definitions are at the heart of the quest to Know Everything.

To know is to have a definite scope. The Foursome is the structure that makes definite, that yields the truth of concepts.

To know everything is perhaps to have the view of the indefinite of the definite.

Definitions are complete only when there is an Observer. (RaimundasVaitkevicius)

[++++%red%定义%black%++++] ..... [+דעפֿיניציע+]

[++++定义++++] ..... [+דעפֿיניציע+]

Žr. [[Apimtys]], [[Žinojimas]], [[Požiūrių sudūrimas]], [[Tiesa]], [[Suvestinė]], [[Apimtys]], [[Požiūriai]], [[Helmut Leitner]], riba, ribota, neribota, laisvė, pirmyn, atgal, žvilgsnis, išėjimas už savęs, išskyrimas, deterministinis, miglota, Algebra of Distinguishability.

Žr. [[Apimtys]], [[Žinojimas]], [[Požiūrių sudūrimas]], [[Tiesa]], [[Suvedimas]], [[Apimtys]], [[Požiūriai]], [[Helmut Leitner]], riba, ribota, neribota, laisvė, pirmyn, atgal, žvilgsnis, išėjimas už savęs, išskyrimas, deterministinis, miglota, Algebra of Distinguishability.

* Kategorijų teorija yra priemonė apibrėžti sąvokas jas išsakant sandarą gerbiančiais atvaizdais.

* Kategorijų teorija yra priemonė apibrėžti sąvokas jas išsakant sandarą gerbiančiais morfizmais.

Žr. [[Apimtys]], [[Žinojimas]], [[Kategorijų teorija]], [[Požiūrių sudūrimas]], [[Tiesa]], [[Suvedimas]], [[Apimtys]], [[Požiūriai]], [[Helmut Leitner]], riba, ribota, neribota, laisvė, pirmyn, atgal, žvilgsnis, išėjimas už savęs, išskyrimas, deterministinis, miglota, Algebra of Distinguishability.

* [[Kategorijų teorija]] is a tool for finding good definitions by thinking in terms of the morphisms that preserve Structure.

Vienumo ir nevienumo nusakymas.

* Vidinė sandara, kurią teiginiai galėtų apčiuopti.

* Pirminiai apibrėžimai išplaukia iš būties klausimo, tad yra susiję su dvejybės atvaizdais. Būties klausimas veiksniais +3, +2, +1 apžvelgia padalinimus -1, 0, 1, tad apžvelgia atitinkamus laisvės, Dievo ir tvarkos klausimus. Būties klausimas iškyla kada Dievas nebūtinas. Jisai grindžia Dievo būtinumą.
* Structure: the first three divisions allow for structure, allow for divisions and definition

* Niekas turi vidinę sandarą, tai tuštuma, tai nulybė.
* Pavidalai - kas po apibrėžimo, kas išplaukia iš būties.



'''Apibrėžimas yra:'''

Dvasios ir sandaros porinis išsivystymas, išeinant už savęs, taip kad tiesa turinys atitinka raišką.
* Apie tai kalba Laozi Daodejing pirmasis skyrius.
* * Apibrežimas atsiranda išvertus požiūrį. Tad kiekvieną požiūrį lydi jo apibrėžimas. Tai yra dvejybinis santykis, tad jame glūdi dvejybės ir jos atvaizdai.
* Apibrėžimui (apribojimui) reikia dviejų požiūrių - vienu yra išsakomos ribos, kitu išsakoma, tai kas neribota, kas nevaržoma tų ribų.

Žr. [[Apimtys]], [[Žinojimas]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom, Forwards, Backwards, View, Scope, Unlimited, Definition, GoingBeyondOneself, AlgebraOfViews

Žr. [[Apimtys]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom, Forwards, Backwards, View, Scope, Unlimited, Definition, GoingBeyondOneself, AlgebraOfViews

Išėjimas už savęs eigos nustatymas, tad apimties nustatymas

Įtvirtinimas apimtyje - grounding in Scope

Žr. [[Apimtis]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom, Forwards, Backwards, View, Scope, Unlimited, Definition, GoingBeyondOneself, AlgebraOfViews

||||distinctions and separations are themselves not suppositions, but are derivative||

It is crucial which direction we are thinking about in defining things.

'''Apibrėžtas ir neapibrėžtas požiūris'''

A View may have a Definite Scope or an Indefinite Scope, and thus is called either definite or indefinite. This is the distinction between a human view and God's view. It is the basis for TheChainOfViews by which all Structure is unfolded.

Indefinite and definite are both important because Definition is at the heart of a quest to KnowEverything.

Indefinite and definite are presumably the two RepresentationsOfSlack, increasing and decreasing. Their scopes are the four RepresentationsOfEverything: all, any, some, none.

'''Neapibrėžtumas'''

To take an unlimited view is to view the indefinite. It is God's View.

Hence, in an indefinite view, distinctions and separations are themselves suppositions.

Sandaros išvystymas lygmenimis:

* To be defined is to be set in some way (and not some other way). Therefore definitions distinguish hard Truth from soft truth.
* comes before relationship (of BeingOneWith)
* negates where God goes to (Everything's properties, where God is not).
* (NotFreedom) is negation of a property of not being alone (of NotGod, Everything), self-standing in a system's context, external limitations, acceptance from Beyond of Negation, the negation from beyond of NullActivity (of Willing), Questions taking up Answers, yielding Scope (Self) as the absolute limits of Activity. The Creator defines the Creation by self-defining himself as the negation of their creation, limiting his NullActivity, thus making room for their creation.

Apibrėžimas yra:

||||Circumscribes everything, leaves nothing hanging||
||||Defined by what it comes from||

'''Kaip apibrėžiama'''

Structure is relevant for making definitions.

The complex is defined in terms of the simple. But how do we define the simple, the fundamentals, the primitives?

A Division of Everything defines issues.

A Topology is defined by way of a mind game.


'''Apibrėžimo būdai'''

How might we best define concepts, ideas, structures and such?

* Complex concepts may be defined in terms of simpler ones, primitive ones. But how do we define primitive concepts?
* [[Padalinimai]]: The divisions of everything serve to define states of mind by presenting the outlooks that are relevant.
* [[Aplinkybės]]: Mind games: Topologies are defined by way of mind games.
* [[Veiksmai]]: The structure of the divisions is also given by operations +1, +2, +3.

CategoryTheory is a tool for finding good definitions by thinking in terms of the morphisms that preserve Structure.

A definite view, a definite scope allows for the definite separation, distinction, of perspectives. Hence, in a definite view, distinctions and separations are themselves not suppositions, but are derivative.

Also, a definite view allows for a change in scope, which is to say, opens up space for a quality, for the good. In this way, it shifts some of its responsibility onto the quality.


===What is Define?===

* Define is GoingBeyondOneself, especially Theory going beyond itself into Scope

Žr. [[Apimtis]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom, Backwards, View, Scope, Unlimited, Definition, GoingBeyondOneself, AlgebraOfViews

Žr. [[Apimtis]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom, Backwards, View, Scope, Unlimited, Definition, GoingBeyondOneself

Žr. [[Apimtis]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: Definite, Indefinite, IndefiniteVDefinite, Define, Overview, Truth, Freedom

An definite view is the acceptance of an definite scope. This allows for the definite separation, distinction, of perspectives.

Hence, in a definite view, distinctions and separations are themselves not suppositions, but are derivative.

||scope is increasing||scope is decreasing||

Žr. [[Apimtis]], [[Kategorijų teorija]], [[Helmut Leitner]] See also: {{Definite}}, {{Indefinite}}, IndefiniteVDefinite, {{Define}}, Overview, Truth, Freedom

* To be defined is to be set in some way (and not some other way). Therefore definitions distinguish hard {{Truth}} from soft truth.

{{Structure}} is relevant for making definitions.

A {{Division}} of {{Everything}} defines issues.

A {{Topology}} is defined by way of a mind game.

* [[Aplinkybės]]: Mind games: {{Topologies}} are defined by way of mind games.

CategoryTheory is a tool for finding good definitions by thinking in terms of the morphisms that preserve {{Structure}}.

See also: IndefiniteVDefinite, {{Indefinite}}, {{Backwards}}, {{View}}, {{Scope}}, {{Unlimited}}, {{Overview}}, {{Definition}}

* a {{View}} of the {{Known}}.

* a {{human}}'s view


To know is to have a definite scope. The {{Foursome}} is the structure that makes definite, that yields the truth of concepts.

See also: {{Definition}}, IndefiniteVDefinite, {{Indefinite}}, {{Definite}}, Overview, GoingBeyondOneself

See also: {{Definite}}, IndefiniteVDefinite

{{Andrius}}: Helmut, thank you for bringing this up and pursuing this. I benefit from your point of view.

For example, in working with ''categories'' (as Kant would call them), I realized that it was not helpful to think of them as abstractions of ''things'' that we imagine. In fact, they were quite the opposite - they were backdrops, canvases, worlds which our imagination provided so that we could place something in it and imagine it in such a context. For example, there is a metaphor ''love is a journey'', and here ''journey'' brings to mind an entire abstract world that an abstract journey conjures. Typically, a thing (or a word) may have a definition that can be pulled together as a single, definitive statement. However, a world is not described by a single, definitive statement. Imagine living on a sphere, or a flat plane, or a line, or on a torus. Each of these worlds has its own geometry, its own properties locally and globally. In mathematics, such a world is described not by one definitive statement, but rather by a set of rules, and that set is typically not special. The same world can be described, determined by a variety of different rules, none of which can claim to be special. It is only the world itself that is special. In mathematics, this kind of ''world'' is often talked about as a ''topology''. Another word that I could use is ''circumstances''. What I'm trying to convey is that a concept like ''many'' is not an abstract thing but rather a world or circumstance that we project things upon. For example, in defining language as a ''mapping'' you're relying on the concept of ''many'', that there can be parallel relationships. With the [{{Topologies}} #] I have found a way to rigorously define concepts such as ''many''.

See also: {{Definite}}, {{Forwards}}, {{View}}, {{Scope}}, {{Unlimited}}

To take an unlimited view is to view the indefinite. It is {{God}}'s {{View}}.

An indefinite view is one that leaves things hanging, allows them to be undefined for a while, or forever. It is an open ended view, one that looks {{Forwards}}.

See also: {{Indefinite}}, {{Definite}}, {{Define}}, {{Definition}}, {{Overview}}, AlgebraOfViews

A {{View}} may have a {{Definite}} {{Scope}} or an {{Indefinite}} {{Scope}}, and thus is called either definite or indefinite. This is the distinction between a human view and God's view. It is the basis for TheChainOfViews by which all {{Structure}} is unfolded.

Indefinite and definite are both important because {{Definition}} is at the heart of a quest to KnowEverything.

* a {{View}} of the {{Unknown}}

* is {{Nondeterministic}}
* is {{Ambiguous}}

* a {{View}} of the {{Known}}

* is {{Deterministic}}

* a {{human}}'s view

Žr. [[Helmut Leitner]] See also: {{Definite}}, {{Indefinite}}, IndefiniteVDefinite, {{Define}}, Overview, Truth, Freedom

Complex concepts may be defined in terms of simpler ones, primitive ones. But how do we define primitive concepts?

{{Divisions}}: The divisions of everything serve to define states of mind by presenting the outlooks that are relevant.

Mind games: {{Topologies}} are defined by way of mind games.

{{Operations}}: The structure of the divisions is also given by operations +1, +2, +3.

See also: {{Definite}}, {{Indefinite}}, IndefiniteVDefinite, {{Define}}, Overview, Truth, Freedom

|| all suppositions are true||all suppositions are either true or false||

* an unlimited view has the supposition identify equally, unconditionally with all of its perspectives (like a nondeterministic automata)
* a limited view has the supposition identify with Any of its perspectives (like a deterministic automata).

The unlimited view is the one for which "all statements are true" - I suppose it is the (supposed) point which goes beyond into all perspectives.

* 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.
* A limited view is defined and identified, in its perspectives, as ''what it comes out from'', and so it is one perspective among all of them. An unlimited view is defined and identified, in its perspectives, as ''what it goes into'', and so it is all of the perspective. In other words, it is crucial which direction we are thinking about in defining things. An unlimited view is immersed, empathetic and endless. A limited view is framed, detached and finite.

* A view of the unknown is a view of the Indefinite, and unlimited view. It has a scope, but the scope is not fixed, not defined. ... It has not yet mirrored by structure. It is one where the scope is increasing, hence the suppositions are indefinite, and this is looking forwards. An unlimited view is that for which the supposition includes within it all of its perspectives. It is pregnant with them all, and they are differentiated within it prior to it going out as them. An unlimited view engages through and identifies with them ''all'' equally, unconditionally (it is nondeterministic). (God is all of his possibilities.)
* A view of the known is a limited view, a view of the Definite. It has a scope, and that scope is fixed, defined, established. ... It is mirrored by structure. It is one where the scope is decreasing, hence the suppositions are definite, and this is looking backwards. A limited view is that for which the supposition is one of its perspectives. It differentiates them upon going beyond itself. A limited view engages through and identifies itself with ''any'' one of its perspectives (it is deterministic). (I am one of my possibilities.)
* A view of the unknown can distinguish more than a view of the known. Idea: A view of the unknown does not distinguish understandings, whereas a view of the known does.

===What is a definition?===

Definition is:

===IndefiniteVDefinite===

An Indefinite view is one in which all suppositions are true, whereas a Definite view is one in which all suppositions are either true or false. A {{View}} is an outlook or model.

An indefinite, unlimited view is defined by what it goes into.

Helmut, I think your probing is helpful because it makes clear where I need to do more work! Thank you.

* Blue is not given, not accessible, just a formalistic label.

A {{Topology}} is defined by way of a mind game.