#dimensionality

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whats-in-a-sentence
whats-in-a-sentence

For example, in Figure 12.8a we replace the additional circular dimension of Figure 12.7, a one-dimensional shape, with the surface of a sphere, a two-dimensional shape (recall from the discussion in Chapter 8 that the surface of a sphere is two-dimensional because you need two pieces of information – like latitude and longitude on the earth’s surface – to specify a location).

Although it is impossible to draw, imagine that every point in the three extended dimensions of everyday life, the universe has not one extra dimension as in Figure 12.7, not two extra dimensions as in Figure 12.8a, not three extra dimensions as in Figure 12.8b, but six extra space dimensions.

“The Fabric of the Cosmos” - Brian Greene

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whats-in-a-sentence
whats-in-a-sentence

In Figure 12.7, we illustrate this by drawing the additional circular dimension at various points along the extended dimensions (since drawing the circle at every point world obscure the image) and you can immediately see the similarity with the tightrope in Figure 12.6.

“The Fabric of the Cosmos” - Brian Greene

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cant-think-of-a-good-one
cant-think-of-a-good-one

not just longing anymore. also widing. and heighting. getting fucking voluminous up in this area

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sociodonis
sociodonis

My Cheatsheet

Information Elements

Irrational elements (because they perceive, not reason):

Se - extroverted sensing: Force (F)

  • Accumulation of external involvements
  • Force: strength or energy as an attribute of physical action or movement. In physics, understood as an influence tending to change the motion of a body or produce motion or stress in a stationary body.

Si - introverted sensing: Senses (S)

  • Integration of external involvements
  • Senses: faculties by which the body perceives external stimuli.

Ne - extroverted intuition: Ideas (I)

  • Accumulation of internal abstractions
  • Ideas: thoughts as to possible courses of action or outcomes.

Ni - introverted intuition: Telos (T)

  • Integration of internal abstractions
  • Telos: ancient Greek term for an end, fulfillment, completion, aim or goal. Ethymologic source for the word ‘teleology’, the explanation of phenomena in terms of the purpose they serve rather than of cause by which they arise.

Rational elements (because they reason, not perceive):

Te - extroverted thinking: Pragmatism (P)

  • Accumulation of external abstractions
  • Pragmatism: an approach that evaluates theories or beliefs in terms of the success of their practical application.

Ti - introverted thinking: Laws (L)

  • Integration of external abstractions
  • Laws: the system of rules which a particular country or community recognizes as regulating the actions of its members and which it may enforce by the imposition of penalties.

Fe - extroverted feeling: Emotions (E)

  • Accumulation of internal involvements
  • Emotions: strong feelings deriving from one’s circumstances, mood, or relationships with others.

Fi - introverted feeling: Relations ®

  • Integration of internal involvements
  • Relations: the ways in which two or more people or things are connected; a thing’s effect on or relevance to another. Also the way in which two or more people or groups feel about and behave towards each other.


Each of the eight information elements fit into and fill one of the eight cognitive functions that make up a person’s personality type. The different assortments result in the 16 different types.

Cognitive Functions

1. Leading - most capable (4D), valued, public, and stubborn. Automatic, confident, and comfortable first approach that sets and programs the base objectives of the personality. Also called Base, Dominant, or sometimes Program function

2. Creative - highly capable (3D), valued, public, and flexible. Complements the leading function’s set program and takes it into actions, brings it into the world. Also called Auxiliary function.

3. Role - less capable (2D), unvalued, public, and flexible. Conscious adaptation to respond to outside expectations. Sometimes called Reluctant function.

4. Vulnerable - least capable (1D), unvalued, public, and stubborn. Source of insecurity, least resistance to external pressure, and inflexible lack of comprehension of its given information element. Sometimes called Exposed function or Path/Point of Least Resistance (PoLR).

5. Suggestive - least capable(1D), valued, private, and flexible. Search for intimate reassurance and/or influence of others, appreciation and enthralling of the presence of the element in them, feels calmed by it. Also called Accepting or Seeking function.

6. Mobilizing - less capable (2D), valued, private, and stubborn. Highly personal need for being independently capable in this element, but is overconfident. Consistently clumsy in its effectiveness or overcompensating in its expression. Its usage energizes the person. Also called Activating function or Hidden Agenda.

7. Observing - highly capable(3D), unvalued, private, and stubborn. Non-participation in the usage of its given element outside of scrutizing from the sidelines and sometimes consistently critizicing or questioning its validity. Traditionally called Ignoring function.

8. Demonstrative - most capable(4D), unvalued, private, and flexible. Unconscious and persistent leading utilization of the element, even when it would rather not be used. Willingly let go of when asked of by overwhelmed people due to its unvalued and flexible nature, yet it still assists in the achieving of the type’s goals.


Each of the eight functions fit into one of four Blocks within the model, creating Rings of information metabolism:

Blocks

Public and conscious blockings: the Mental Ring

Ego Block: valued and “strong” functions

Super-Ego Block: unvalued and “weak” functions


Private and unconscious blockings: the Vital Ring

Super-Id Block: valued but “weak” functions

Id Block: unvalued but “strong” functions


Inert functions: stubborn, intransigent, bold, assertive, and energetic functions

Contact functions: flexible, collaborative, subtle, and reluctant functions


The “strength” or “weakness” of a given function is explained through the qualitative parameters with which they are able to process information to elaborate conclusions and internalize lessons. Each set of which are called Dimensionality of a function:

Dimensionality

Each function processes information and grows by taking into account the parameters of:

1-Dimensional (1D): experience. Referred to as least capable, “weakest”.

2-Dimensional (2D): norms and experience. Referred to as less capable, “weak”.

3-Dimensional (3D): situational, norms, and experience. Referred to as highly capable, “strong”.

4-Dimensional (4D): time, situational, norms, and experience. Referred to as most capable, “strongest.


Commonalities can be discerned between types depending on strengths and values, called small groups or quaternions:

Small Groups

Quadras: according to valued elements

  • Alpha: value Ti, Fe, Si, Ne - Acceptance and Togetherness
  • Beta: value Ti, Fe, Se, Ni - Calling and Order
  • Gamma: value Te, Fi, Se, Ni - Aptitude and Independence
  • Delta: value Te, Fi, Si, Ne - Growth and Hope

Clubs: according to dominant primary information

  • Researchers: intuitive and logical (NT)
  • Socials: sensing and ethical (SF)
  • Pragmatists: sensing and logical (ST)
  • Humanitarians: intuitive and ethical (NF)

Temperaments: according to primary extroversion (E or I) and rationality (P or J)

  • Flexible-maneuvering: extroverted and perceiving (EP)
  • Linear-assertive: extroverted and rational (EJ)
  • Receptive-adaptive: introverted and perceiving (IP)
  • Balanced-stable: introverted and rational (IJ)

Communication styles: according to primary extroversion (E or I) and rational preferrence (F or T)

  • Bussinesslike: extroverted and logical (ET)
  • Passionate: extroverted and ethical (EF)
  • Cold-blooded: introverted and logical (IT)
  • Sincere/Soulful: introverted and ethical (IF)


I will make separate in-depth entries for each of the points in every section, the 16 Socionics types and more.

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gridleyfires
gridleyfires

The Geometry Thing

Interlaced among the last three or so of these works of fiction are my four “volumes” on geometry. If you are among those who, like my high school classmates, run screaming at the mention of this subject, I don’t blame you. Or you may be of the New Agey persuasion, having a somewhat vague handle of the subject as Sacred Geometry. The latter may be closer to the mark, but its purpose is more akin…


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gallanttransfixion
gallanttransfixion
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karenkirkness
karenkirkness

Tomorrow 13:00 - 16:00 We will talk a bit about the embryo and a lot about spirals.
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This anatomy of adjustments workshop through @meadowlarkyoga is a 3-hour CPD experience especially suitable for yoga teachers.
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First theory, then movement… learn to adjust yourself and others.
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Link in bio 🙏
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#fiveflows #anatomyforyoga #embryology #dimensionality #fromahollowsphere #axialmatrix
(at Meadowlark Yoga)
https://www.instagram.com/p/CDTpo9UDoWt/?igshid=1qujrlh98lm2l

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njaan
njaan

Helps me with my thoughts..

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studioalexandracarr
studioalexandracarr

Crystal heartbeat in the field of absorption.


Research and work in progress for new project in development with @shuster_moseley @aphrashemza and @colin_rennie .
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#crystal #crystaline #darkness #sphere #dimensionality #contemporaryart #contemporaryartist #artscouncilengland #stillness #sphericalgeometry #sacredgeometry #scale #microcosm #macrocosm #virtualrealm #materiality #physicalandvirtual #blue #scaleofbeing #wip #artist
#Generativeart #Newmediaart #creativecoding #digitalart #touchdesigner #motiongraphics #creativecodeart #newmedia #sharewithaxis (at The Void)
https://www.instagram.com/p/CBHA48BF896/?igshid=d33b3p0h6nkn

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studioalexandracarr
studioalexandracarr

Facets of complexity emerge in the potential of the night

Research and work in progress for new project in development with @shuster_moseley @aphrashemza and @colin_rennie
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#azure #darkness #sphere #complexity #dimensionality #contemporaryart #contemporaryartist #artscouncilengland #stillness #sphericalgeometry #sacredgeometry #scale #microcosm #macrocosm #virtualrealm #materiality #physicalandvirtual #blue #scaleofbeing #wip #artist
#Generativeart #Newmediaart #creativecoding #digitalart #touchdesigner #motiongraphics #creativecodeart #newmedia #sharewithaxis (at The Void)
https://www.instagram.com/p/CBFlyEjF8rk/?igshid=12k09fawi6im1

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studioalexandracarr
studioalexandracarr

Azure slither jostles in the damp sleep.


Research and work in progress for new project in development with @shuster_moseley @aphrashemza and @colin_rennie
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#azure #slither #darkness #sphere #dimensionality #contemporaryart #contemporaryartist #sleep #stillness #sphericalgeometry #sacredgeometry #scale #microcosm #macrocosm #virtualrealm #materiality #physicalandvirtual #blue #scaleofbeing #wip #artist
#Generativeart #Newmediaart #creativecoding #digitalart #touchdesigner #motiongraphics #creativecodeart #newmedia #codeart

https://www.instagram.com/p/CBFkhQylINQ/?igshid=173w5tqboatah

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throughmachineanddarkness
throughmachineanddarkness

Dimensionality of data

‘These types of dimensionality techniques [PCA and ICA methods for finding parameter combinations within a dataset], can be useful for identifying classes of objects, for detecting rare or outlying objects, and for constructing compact representations of the distribution of observed objects. One potential weakness of dimensionality reduction algorithms is that the components are defined statistically, and as such have no guarantee of reflecting true physical aspects of the systems being observed. Because of this, one must be careful when making physical inferences from such results.’

Introduction to astroML: Machine Learning forAstrophysics, Jacob T. VanderPlas, Andrew J. Connolly, Zeljko Ivezic, Alex Gray, 2014

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gridleyfires
gridleyfires

The Geometry of Universal Mind - Volume 2

The Geometry of Universal Mind – Volume 2

Some may react to my curiosity with Geometry by rolling their eyes, but there are some who may actually make use of this work. It’s not your high school geometry – it’s closer to Plato’s theory of forms than that. This volume sets the stage for a deeper dive, but this volume will help you understand the implications. So I’ve posted a sample for you to see and think about. If you’re interested in…

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altsoph
altsoph

Engineers from Canny Lab (Berkeley) adapted the popular dimensionality reduction algorithm t-SNE for parallel calculation on the GPU (t-SNE-CUDA). It’s faster than the standard sklearn implementation by 2-3 orders of magnitude. Paper, code.

On the picture: t-SNE visualization of ELMO embeddings of different series annotations (colors = genres), from some of my old undead projects.

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coupermatthew
coupermatthew

#laripittman #paint #oilpaint #dimensionality #geometric #forms #against #organic #hammermuseum (at Hammer Museum)
https://www.instagram.com/p/B3Qn04dJaXS/?igshid=zvurc9hyrnvt

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notori
notori

My abstract design, “Dimensionality”, is available on all sorts of neat things like hardcover journals, spiral notebooks, and more!⠀

#AbstractArt #DigitalArt #Dimensionality #Designs⠀
https://buff.ly/2LbH2p2
https://www.instagram.com/p/B2Z4Xr9jU9w/?igshid=xuo5cxdyujdm

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abwatt
abwatt

Magic: Iamblichus

IamblichusI wound up writing this on someone’s Facebook wall, but I think it’s relevant to my blog. Of course it’s the result of listening to Rune Soup (notably the recent show about extradimensionality) and my own reading of Iamblichus with my book-group, but I think it’s relevant to my current interests.

I’ve been thinking a great deal about “Flatland” by Edwin Abbott lately, and how it relates to…

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