Orthogonally-integrated Hegelian syntopical analysis for SAQ/VIVA/concept grounding with systematic textbook citations. Implements thesis extraction → antithesis identification → abductive synthesis across multiple authoritative sources. Tensor-integrated with /m command: activates S×T×L synergies (textbook-grounding × pdf-search × qmd = 0.95). Triggers on requests for model SAQ responses, VIVA preparation, concept explanations requiring textbook evidence, or any PEX exam content needing systematic cross-reference validation.
λ: Query → Tensor Activation → Syntopical Analysis → Grounded Response with Citations
Generate examination-optimized responses grounded in systematic cross-textbook analysis using Hegelian dialectical synthesis with orthogonal tensor integration.
The highest level of reading—comparing multiple authoritative sources on the same topic to synthesize understanding unavailable from any single source.
"A higher level of understanding and insight could be achieved by creating the two most diametrically opposed viewpoints, the mutual contradiction being reconciled on a higher level of truth." — Model of Dialectical Learning
This skill participates in the 5D tensor routing space:
┌─────────────────────────────────────────────────────────────────────────────┐
│ ORTHOGONAL TEXTBOOK GROUNDING PIPELINE │
├─────────────────────────────────────────────────────────────────────────────┤
│ │
│ Φ0: TENSOR ACTIVATE ───────────────────────────────────────────────────── │
│ └─ Score dimensions, detect synergies, compose execution plan │
│ │
│ Φ1: QUERY DECOMPOSE ───────────────────────────────────────────────────── │
│ └─ Parse topic, domains, complexity; route to skill stack │
│ │
│ Φ2: PARALLEL SEARCH ───────────────────────────────────────────────────── │
│ └─ Multi-query semantic search across pdf-embeddings + web │
│ └─ Execute via T×L synergy: pdf-search × pdf-brain × docling │
│ │
│ Φ3: THESIS EXTRACTION ─────────────────────────────────────────────────── │
│ └─ Extract T_i from each source with page-level citations │
│ └─ Classify: definitional | mechanistic | quantitative | clinical │
│ │
│ Φ4: ANTITHESIS DETECTION ──────────────────────────────────────────────── │
│ └─ Compare thesis pairs for tensions A_ij │
│ └─ Classify: contradiction | refinement | extension | context_dependent│
│ │
│ Φ5: DIALECTICAL SYNTHESIS ─────────────────────────────────────────────── │
│ └─ Invoke dialectical skill for α-β-γ structure │
│ └─ Apply constraints skill for deontic obligations │
│ │
│ Φ6: MULTI-LENS CRITIQUE ───────────────────────────────────────────────── │
│ └─ STRUCTURAL × EVIDENTIAL × SCOPE × ADVERSARIAL × PRAGMATIC │
│ └─ Per-thesis evaluation with aggregate scoring │
│ │
│ Φ7: ABDUCTIVE SYNTHESIS ───────────────────────────────────────────────── │
│ └─ Abduce minimal universal principles S resolving tensions │
│ └─ Validate: ∀T_i. ∃s ∈ S. subsumes(s, T_i) │
│ │
│ Φ8: RESPONSE GENERATION ───────────────────────────────────────────────── │
│ └─ Invoke saq skill for template routing │
│ └─ Apply symbol lexicon, word count constraints │
│ │
│ Φ9: CITATION WEAVING ──────────────────────────────────────────────────── │
│ └─ Systematic footnote generation with page references │
│ └─ Apply deontic constraints: O(cite), O(page), F(uncited) │
│ │
│ Φ10: VALIDATION & QA ──────────────────────────────────────────────────── │
│ └─ Coverage, parsimony, confidence floor checks │
│ └─ Examiner expectation alignment │
│ │
└─────────────────────────────────────────────────────────────────────────────┘
When invoked via /m, this skill receives tensor context:
tensor_context:
prompt: "{original_query}"
activated_dimensions:
C: sc:document (0.70)
A: researcher (0.75)
S: textbook-grounding (0.95), saq (0.90), dialectical (0.80), critique (0.75)
T: perplexity (0.65), pdf-search (0.90)
L: pdf-brain (0.90), docling (0.75), qmd (0.70)
synergies:
S×T×L: textbook-grounding × pdf-search × qmd = 0.95
S×S×S: saq × dialectical × critique = 0.90
execution_mode: sequential
Synergy Exploitation:
IF synergy(S×T×L) > 0.9:
activate_parallel_search() # pdf-brain + pdf-search + perplexity
IF synergy(S×S×S) > 0.85:
chain_skill_stack() # dialectical → critique → saq