QRF

1. EROS
Word-Sensibility Model
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Exploring Ideas About Quadranym Reference Frames
EROS
About

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EROS
About Word-Sensibility
Quadranym: a paradigm made up of four words acting as facets of a word.
Facets are dimensions of words representing four basic categories or roles.
The fundamental units of the Word-Sensibility Model are called Quadranyms.
Word-Sensibility is about metaphoric relations, commonsense
grounding and simulating the human ability to sense dynamic
relations between words in text. The aim is to model dynamic
sense response and metaphoric and normative responsiveness.

3. Reference Frames & Quadranyms
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EROS
In this presentation, the aim is to illustrate basic
principles of the Quadranym Reference Frame.
0
Time
present
Events
•
Nowness remains the invariable event to any
sense of change, procedure or modification.
Quadranym: (∀x) Time (x) ⟹ [Future(present) ⊇ Past(event)(x)]
Reference Frame
future
past
•
•
Future(present)
Past(event)
Term Clustering: {…}
Term Clustering: {…}
Time

4. Reference Frames & Quadranyms
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EROS
A Q reference frame consists of the word-topic (i.e., headword: e.g.,
energy), and the zero-point word (i.e., anchor or source word: e.g.,
motion), and the coordinate word (i.e., target word: e.g., matter), and
two words that define the x and y axes (i.e., dependent y: e.g., size and
independent x: e.g., weight variables). The x and y variables can change
between modes of measure to better align with responsive conditions.
• A unit of responsiveness is a bias, an assumption about a concept.
• The assumption for energy: any variance of motion targets matter.
• x-y variables are modes of measure: complementarity and polarity.
• The project is about abstracting normative responses for machines.
What are Quadranym Reference Frames?
spatial mode
energy wt. (n)
y expand
mode
x reduce
mode
1. work (.3) positive negative
2. work (.7) negative positive
Matter (1.0) Size (-) Weight (+)
“These small logs burn all night.”
Map Text to Energy Layer Unit:
Small logs = positive density and weight

5. Nested Systems of Responsiveness
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EROS
Topic Name y Expansion (+,-) x Reduction (-,+) Object (target) Subject (origin)
space infinite finite between void
door open close barrier passage
distance far near relation position
direction there here to from
container out in full empty
Time y Future (+,-) x Past (-,+) Event (target) Present (origin)
Quadranym System = Relations of Locations = [space, door, distance, direction, container]
Nested Matrix
Each Layer is a Quadranym.
Layers Form a Nested System.
Each layer may represent an aspect of a ‘complete’ concept. The key is about how
different domains such as, spatial and emotional might correspond e.g., to be in-
doors and to be in-love will share basic spatial units. This is one goal of the model.
Spatial Orientation Matrix
Layers aim to move quickly between general and relevant viewpoints.

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Reference Frames & The Zero-Point
I
The orientation of a quadranym reference frame represents a viewpoint and a self identification opportunity.
A Reference frame is a virtual organismic response to objective circumstances.
The most basic principle of reference frames is about orientation.

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EROS
• “I will know x as soon as I walk through the door.”
Consider the statement…
Reference frames deal with source and target conditions. For instance, if we consider the agent’s
source condition as being about the agent’s initial position such as, in or out, then clearly there is
an unavoidable choice between the two positions. It can be either-or. Reference frames aim to
anchor on ‘actual-source-conditions’: a source that acts less like a variable and more like a constant.
The Actual Source = The Zero-Point of Reference Frames.
Reference Frames & The Zero-Point

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Spatial Domain: Find best orientation to target x.
The actual source is not about predicting whether the agent is in or
out or predicting what x can be. It’s about finding virtual grounding
i.e., an effective orientational constant for word-topics, such as, space.
• “I will know x as soon as I walk through the door.”
Reference Frames & The Zero-Point
Where
am I.

9. x can inform initial spatial position
9
EROS
• “I will know x as soon as I walk through the door.”
x = ?
x =
x = e.g., if package arrived
x = e.g., what’s for dinner
x = e.g., what’s the weather
Source Position (in > out) Target Position (out > in)
Above describes a situational variable for a spatial orientation.
What we want is a constant reference for a spatial orientation.
I am
in.
I am
out.
Reference Frames & The Zero-Point
Possible x Target

10. The Zero-Point Orients the Response
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EROS
• “I will know x as soon as I walk through the door.”
Consider the term void (i.e., emptiness). Space: Actual Source = Void.
Void acts as the origin or constant for this reference frame of space.
Void = infinite mode
Void = finite mode
Space Frame: The assumption is that any variance of void targets spatial-object potentials (e.g., obstacles).
I am
in.
I am
out.

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a
b
c
1
2
3
4
5
6
7
8
9
0
more close less close
potential
infinite y
less
open
more
open
1 2 3 6 7 8 9 10 11 12 13 14 15 16 17
x finite
Between
Situation a
Between
Situation b
Between
Situation c
Between acts as the Target Variable.
Reference Frames & Representation
Source: Void
Here, any variance of void targets between (i.e., objective target potentials).
actual

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EROS
1
2
3
4
5
6
7
8
9
0
more close less close
Source: Void
out, infinite, potential y
less
open
more
open
1 2 3 6 7 8 9 10 11 12 13 14 15 16 17
x in, finite, actual
Target Variables wt (n) & coord
Solid Separation 1.0 (8 , 3)
Regions 0.8 (7 , 1) (15 , 6)
Spatial Separation 0.6
Object 0.4
Between = Contextual Changes in Space
Weights and coordinates are based on contextual training (Infer: contextualizations of prior text ).
• “I will know x as soon as I walk through the door.”
Reference Frames & Representation
Between: Target Variables
Out Region
In Region
Between Regions

13. The Dynamical Context
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EROS
1
2
3
4
5
6
7
8
9
0
more neg less neg
Source: void
positive, potential y
less
pos
more
pos
1 2 3 6 7 8 9 10 11 12 13 14 15 16 17
x negative, actual
We call the orientation to a situation the Dynamical
Context. It is different from the Situational Context.
Situational Context: Deals with Prediction
Dynamical Context: Deals with Orientation
Each reference frame provides an orientation based
on the dynamic sense provided by the text. Words
and sentences are mapped to reference frames. The
reference frames then calibrate to the situation.
More about The Dynamical Context: Buildintuit.com About page.
• “I will know x as soon as I walk through the door.”
Modify
Agent: Here, the agent frame is nested in the spatial frame..
The agent has a goal based on navigating the space..
Out Region
In Region
Between Regions
Self
Begin/Goal
Goal/Begin

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• Topic Name: Space(x)
For all x If x is space Then x is:
Mode Sets: Expand = infinite ⊇ Reduce = finite
State Sets: Subject = void ⊇ Object = between
Map the words as_I, as_soon, will to Time
Map the word through to Space
Mapping Text to Reference Frames
Shorthand: (∀x) space(x) ⟹ [Infinite(void) ⊇ Finite(between)(x)]
(∀x) time(x) ⟹ [Future(present) ⊇ Past(event)(x)]
Quadranym Reference Frames
Words of a sentence are mapped to different
quadranyms (virtual units of responsiveness.)
The responsiveness of units to conditions are virtual adaptations to the environment.
Reference frames aim to move between general and relevant viewpoints of a situation.
X = {<I, will, know, as_soon, as_I, walk, through, the_door>}

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EROS
Map the word walk to Locomotion
Map the word the_door to Door
Map the word I, Know to Mental
Reference Frames & Quadranyms
(∀x) Mental(x) ⟹ [Unknown(knower) ⊇ Known(knowable)(x)]
(∀x) Locomotion(x) ⟹ [Move(position) ⊇ Stay(place)(x)]
(∀x) Door(x) ⟹ [Open(passage) ⊇ Close(barrier)(x)]
(Note: A quadranym is like a word-sense where a quadranym headword can have more than one quadranym body.)
Quadranym Reference Frames
X = {<I, will, know, as_soon, as_I, walk, through, the_door>}

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EROS
1. ∀(x) Space(x) → [Infinite{…)(void{…}) ⊇ Finite{…}(between{…})x]
2. ∀(x) Time(x) → [Future{…)(present{…}) ⊇ Past{…}(event{…})x]
3. ∀(x) Door(x) → [Open{…)(passage{…}) ⊇ Close{…}(barrier{…})x]
Nested Units & the Clusters they Hold
Space, Time Door, Locomotion, Mental are called word-topics (Headwords)
Terms cluster in each of the four dimensions (i.e., facets)
We will ignore the quadranyms, mental and locomotion (below) for simplicity’s
sake and concentrate on the three basic concepts (above), space, time and door.
• ∀(x) locomotion(x) → [Move{…)(position{…}) ⊇ Stay{…}(place{…})x]
• ∀(x) mental(x) → [Unknown{…)(knower{…}) ⊇ Known{…}(knowable{…})x]

17. Source and Target Conditions
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Void
(present)
Between
(event)
Passage
(present)
Barrier
(event)
source
target
Space (time) Door (time)
EROS
1. Words above parse into nested topics e.g., space, time and door.
2. Targets of the text are found in the subset of the word-topics.
X = {<I, will, know, as_soon, as_I, walk, through, the_door>}
1. Multiplicity: between and barrier share attributes of separateness.
2. Singularity: void and passage share attributes of wholeness.

18. The Temporal Sense of Source & Targets
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Void
(present)
Between
(event)
Passage
(present)
Barrier
(event)
source
target
Space (time) Door (time)
EROS
Mapped Source Words
Through (i.e., affordance)
As_Soon
As_I
I
Mapped Target Words
The_Door
Will
Walk
Know
• The Zero-Point is about any or all the constituents of the word-topic (Defaults to inclusive/singularity principle).
• The Target Variable is about the particular situation of a word-topic (Defaults to exclusive/multiplicity principle).
• Source conditions tend to represent the occurrent principles.
• Target conditions tend to represent the measurable changes.
The Persistence of Nowness The Persistence of Change
X= {<I, will, know, as_soon, as_I, walk, through, the_door>}

19. Reference Frames & Target Variables
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X finite, past, close, actual
1
2
3
4
5
6
7
8
9
0
more close less close
Source: Void, Present, Passage
infinite, future,
open, potential y
EROS
less
open
more
open
Time_Event
Door_Barrier
Space_Between_Solid_Separation
{Know}
{Walk}
{Will}
{As_Soon, As_I, I, Through}
Calibrate To Spatial/Temporal Targets
Hierarchical Order
1. Space (10.4 , 1.3).
2. Time ( 14.6 , 7).
3. Door (1.1 , 7).
1 2 3 6 7 8 9 10 11 12 13 14 15 16 17
{The_door}
Space Target: Between
Solid separation is not x1 - not
totally closed. Because, door’s
barrier is potential openness.
Between Variables Weights
Solid Separation 1.0
Regions 0.8
Spatial Separation 0.6
Object 0.4
X= {<I, will, know, as_soon, as_I, walk, through, the_door>}

20. FROM Source TO Target Conditions
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EROS
1. Space: Between: Target.
2. Time: Event: {will, walk, know}
3. Door: Barrier: {the_door}
1. Space: Void: Source.
2. Time: Present: : {I, as_soon, as_I}
3. Door: Passage: {through}
Source-State Condition Target-State Condition
The Dynamical Context Represents Orientation.
Orientational Hierarchy e.g. Situational Hierarchy e.g.
The Situational Context Represents Situations.
Responsiveness, Habits and Conceptual Bias. Understanding the Objective Circumstances.
Heuristic/Assumption Deliberation/Debugging
Defaults to the inclusive-singularity principle. Defaults to the exclusive-multiplicity principle.

21. Model: Agent Aligning with World EROS
Q analysis has general-principles that essentially provide
spatial and temporal defaults for Q categories and roles.
1. Quadranym states represent temporal changes i.e., becoming.
2. Quadranym modes represent spatial changes i.e., measuring.
3. Active-actual state represents self orientation.
4. Passive-potential state represents target variables.
5. Active-potential mode represents potential differences.
6. Passive-actual mode represent the actual differences.
(Note: active is resource from which to-align while passive is resource to which is-aligned)

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An Ontology of Biases & Alignments
A Small List of Primary Quadranym Units.
1. (∀x) Prime Quadranym(x) ⟹ [Expansive(subjective) ⊇ Reductive(objective)(x)]
2. (∀x) Space Quadranym(x) ⟹ [Infinite(void) ⊇ Finite(between)(x)]
3. (∀x) Time Quadranym(x) ⟹ [Future(present) ⊇ Past(event)(x)]
4. (∀x) Goal Quadranym(x) ⟹ [Potential(actual) ⊇ Actual(potential)(x)]
5. (∀x) Align Quadranym(x) ⟹ [Active(active) ⊇ Passive(passive)(x)]
Discrete Q systems work together to improve orientational data. Topical
interoperability is the ability to adopt or reject the topical orientations of
other systems. Competitive performance comparisons advance schemes.
(Note: Each unit shares their attributes with the other units. Only positive and negative can flip
polarity while for instance, expansive and reductive can not i.e., this means that expansive can
align with negative or positive attributes. Aligning dimensions is quickest way to share attributes.
• (∀x) Bias Quadranym(x) ⟹ [- ⊕ + (negative) ⊇ + ⊕ - (positive)(x)] (-,+ or +,-)

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EROS
More information: https://buildintuit.com/about/
There are many ways to render quadranyms and arrange their
systems. In this presentation our goal was to relay basic ideas.
There is Much More to Explore
The aim is to model an agent’s internal responses to
external occurrences at nested levels in the system.
Thank YouJ
Visit and learn about the growing collection of quadranyms and polynyms at polynyms.com (API) .

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