.. meta::
:description: Every symbol in the Jub extension defined: H (humanity), D_free, D_inno, causal influence, delegation, guide, force, and innovation predicates for A15--A25.
:keywords: Jub symbols, notation, H humanity, D_free, D_inno, D_f, causal influence, delegation, innovation predicates, BABL, life-trifecta
:author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
:og:card:title: Jub Symbol Dictionary
Notation for A15--A25
:og:card:description: Reference for every formal symbol in the Jub extension: domains of freedom, causal influence, delegation, and innovation predicates.
.. SOCIAL-CARD-QUALITY-COMPARE --- OO (default effort) vs PP (max effort), 2026-03-26
OO :description: Symbol dictionary for JUB extension axioms A15--A25 and theorems T5--T11, covering agency, delegation, and innovation predicates.
OO :keywords: matheology, JUB, symbol dictionary, notation, agency, delegation, innovation, Df, Dfree, causal influence, mathematical theology
OO :og:card:title: JUB Symbol Dictionary
Notation for A15--A25
OO :og:card:description: Every symbol in the JUB extension defined: humanity, free and forced domains, innovation predicates, and causal influence.
PP :description: Every symbol in the Jub extension defined: H (humanity), D_free, D_inno, causal influence, delegation, guide, force, and innovation predicates for A15--A25.
PP :keywords: Jub symbols, notation, H humanity, D_free, D_inno, D_f, causal influence, delegation, innovation predicates, BABL, life-trifecta
PP :og:card:title: Jub Symbol Dictionary
Notation for A15--A25
PP :og:card:description: Reference for every formal symbol in the Jub extension: domains of freedom, causal influence, delegation, and innovation predicates.
.. SOCIAL-CARD-REVIEW --- generated by Claude Opus 4.6, 2026-03-26
dv_ClaOp46_PP_2026m03d26 --- max-effort rewrite, read full page.
:description: 155 chars | :og:card:title: 42 chars (excl
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*************************************************************************
JUB Symbol Dictionary
*************************************************************************
This page defines the symbols introduced in the JUB extension (A15–A25,
T5–T11). For PET symbols (used in A1–A14, T1–T4), see
:doc:`/matheology/pet/symbols`.
.. JUB-SYMBOLS-CONTENT-START
Entities and Variables
========================
.. list-table::
:widths: 14 20 41 25
:header-rows: 1
* - Symbol
- Name
- Meaning
- Technical context
* - **H**
- Humanity
- The set of all human agents
- Distinguished set
* - :math:`h, h^*`
- Human agent
- An individual human; :math:`h^*` is the one with maximal causal
influence at time *t* (A19)
- Individual variable
* - :math:`D_f`
- Forced domain
- Choices constrained by physics, coercion, or circumstance; not
subject to moral evaluation in the innovation theodicy
- Domain partition
* - :math:`D_{\text{free}}`
- Free domain
- Choices where humans possess genuine capacity to select among
alternatives; the domain of moral responsibility
- Domain partition
* - :math:`D_{\text{inno}}`
- Innovation subdomain
- The critical subset of :math:`D_{\text{free}}` where novel
solutions, creative acts, and innovation occur;
:math:`D_{\text{inno}} \subseteq D_{\text{free}}`
- Domain partition
* - :math:`W_{\text{earth}}`
- Earth
- The delegated domain of human governance (A16)
- Subworld constant
* - :math:`W_{\text{future}}`
- Future trajectory
- The space of future outcomes over which causal influence is measured
- Used in A19, T6
* - :math:`W_{\text{physics}}`
- Physical law substrate
- The physical laws sustained by God (A9) as precondition for agency
- Used in T10
* - :math:`O_{\text{genuine}}`
- Genuine outputs
- The class of outputs (care, insight, innovation) that require free
choice for full quality (A23)
- Used in A23
* - :math:`E`
- Innovation economy
- An economic system operating under A24 life-trifecta conditions
- Used in A25
* - :math:`R`
- Recalibration
- A periodic Jubilee reset mechanism that redistributes accumulated
concentration (A25)
- Used in A25
* - :math:`i`
- Innovation
- Any creative act, solution, or systemic change subject to the
life-trifecta criterion
- Used in A24, T8
Relations and Predicates
==========================
.. list-table::
:widths: 22 18 35 25
:header-rows: 1
* - Symbol
- Name
- Meaning
- Introduced in
* - :math:`\text{can-choose}(h, a, s)`
- Can choose
- Agent *h* can choose action *a* in situation *s*
- A15
* - :math:`\text{Agency}(H)`
- Genuine agency
- Humans possess real capacity to choose among alternatives
- A15
* - :math:`\text{Delegated}(G, H, D)`
- Delegation
- God has delegated authority over domain *D* to humanity
- A16
* - :math:`\text{PrimaryResponsible}(H, o)`
- Primary responsibility
- Humans are the primary responsible agents for outcome *o*
- A16
* - :math:`\text{Guide}(G, h)`
- Divine guidance
- God provides guidance to human *h*
- A17
* - :math:`\text{Force}(G, h)`
- Divine coercion
- God compels human *h* (negated in A17)
- A17
* - :math:`\text{Responsible}(x, D)`
- Moral responsibility
- Entity *x* bears moral responsibility for outcomes in domain *D*
- A18
* - :math:`\text{MaxCausalInfluence}(h, t, W)`
- Maximum causal influence
- Agent *h* has strictly maximal causal influence at time *t* over
future world *W*
- A19
* - :math:`\text{CausalInfluence}(h, t, W)`
- Causal influence
- The degree of causal influence agent *h* exerts at time *t*
- A19
* - :math:`\text{Willing}(h)`
- Willingness
- Agent *h* voluntarily accepts a responsibility
- A20, A21
* - :math:`\text{Accepts}(h, R)`
- Acceptance
- Agent *h* accepts role or responsibility *R*
- A20
* - :math:`\text{TranslatorRole}(G, H, W)`
- Translator/Mediator role
- Permanent role translating between God's optimal solutions and
humanity's understanding
- A21
* - :math:`G_n\text{-valuation}(G_c(w))`
- Divine valuation
- God's necessary nature evaluates contingent experience states
- A22
* - :math:`\text{Stable}(i)`
- Stability
- Innovation *i* is structurally stable
- A24
* - :math:`\text{Extensible}(i)`
- Extensibility
- Innovation *i* can be extended without breakdown
- A24
* - :math:`\text{LifeFriendly}(i)`
- Life-friendliness
- Innovation *i* returns more than it extracts
- A24
* - :math:`\text{Lasting}(i)`
- Lasting innovation
- Innovation *i* satisfies all three life-trifecta cords
- A24
* - :math:`\text{BABL-attractor}(i)`
- BABL attractor
- Innovation *i* is on the self-destructive trajectory (Blindly
Assuming Blind Leveraging)
- T8
.. JUB-SYMBOLS-CONTENT-END