concept
active
concept:bijective-observation-functionBijective Observation Function
The idealized assumption that observations are bijective mappings of events, required for cross-modal convergence proof
Neighborhood — ranked by edge-count
Claims (1)
claim
- Key limitation of the PRH for non-bijective observations
Hypotheses (1)
hypothesis
- Mathematical formalization of what representation models converge to
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- The method of observing the world as if it were a machine, separating the observer from the observed, leading to mechanistic knowledge.
- The ability of a model to observe its own state, measured by Koan Battery; can be lifted by contemplative prompts.
- The dominant scientific paradigm Alexander seeks to supplement: observation of limited machine-like events from an external, self-excluded standpoint
- A learnable invertible transformation in DAS that maps neural representations to a basis aligned with causal variables
- Sensory data observed by the agent at each time step.
- Learnable invertible transformation in DAS/MAS that rotates latent vectors into aligned subspaces; narrowed to orthogonal matrices Q.
- The core framework introduced in this chapter: using the observer's experienced inner wholeness as an objective measuring instrument for the degree of life in external systems
- The technique of discovering essential centers by imaginatively inhabiting a culture and using one's own feelings as a measuring instrument