NODE.ID: SCIOS-00
NODE.TYPE: canonical_supply_lane
SUBOS.ID: SCIOS
SUBOS.NAME: Science OS
PARENT.OS: EDUOS
SUBOS.CLASS: capability_supply_line
SUBOS.PURPOSE: regenerate_prediction_measurement_inference_control_capabilities_across_generations
AXIS: time
VERSION: v0.1

DEF.SCIOS:
  Science OS is the education-supplied capability pipeline that regenerates
  measurement, inference, causal modelling, and prediction needed for civilisation
  to control disease, build technology, manage resources, and reduce uncertainty
  across generations.
RULE:
  science is not primarily a school subject; it is civilisation’s prediction-and-control engine.

SCIOS.ORIGIN.DRIVERS:
  - uncertainty_under_survival_load (weather, disease, crop failure)
  - need_for_repeatable_results (tools, medicine, engineering)
  - need_to_separate_signal_from_noise (false beliefs are costly)
  - scaling_complexity (systems too complex for intuition)
EMERGENCE_CHAIN:
  observation -> measurement -> hypothesis -> test -> inference -> replication -> control

SCIOS.FUNC.1: observe (systematic noticing)
SCIOS.FUNC.2: measure (quantify reality)
SCIOS.FUNC.3: model (causal hypotheses, mechanisms)
SCIOS.FUNC.4: test (experiments, comparisons)
SCIOS.FUNC.5: infer (update beliefs using evidence)
SCIOS.FUNC.6: replicate (verify robustness)
SCIOS.FUNC.7: control (apply models to interventions)
SCIOS.FUNC.8: forecast (predict outcomes, manage risk)

DEP.LANE.1: HEAOS (medicine, epidemiology, diagnostics)
DEP.LANE.2: ENEOS (energy systems, climate control, efficiency)
DEP.LANE.3: FDOOS (food, agriculture, supply resilience)
DEP.LANE.4: TROS  (transport systems, safety engineering)
DEP.LANE.5: SECOS (forensics, risk modelling)
DEP.LANE.6: GOVOS (evidence-based policy, planning)
DEP.LANE.7: CIVOS (system sensors and repair logic)

weak_scios -> superstition↑ -> intervention_error↑ -> systemic brittleness↑

SCIOS.STAGES:
  C0: observation_habit (notice patterns)
  C1: measurement_literacy (units, accuracy, error)
  C2: variable_thinking (what changes what)
  C3: causal_reasoning (mechanism vs coincidence)
  C4: experiment_logic (controls, comparisons)
  C5: inference_literacy (probability, uncertainty)
  C6: replication_norms (robustness, falsification)
  C7: intervention_design (apply model safely)
  C8: systems_thinking (feedback loops, nonlinear effects)

C1-C4 are foundational for school science.
C5-C8 are what civilisation needs at scale.

SCIOS.PHASES:
  P0: collapse (cannot interpret evidence; rejects measurement)
  P1: unstable (cherry-picks; inconsistent reasoning)
  P2: functional_leaky (basic method; fails under nuance/pressure)
  P3: stable_mastery (repeatable method; low bias drift; transferable)
KEY:
  science capability = reliability of inference and control under uncertainty

FAIL.C1: measurement_illiteracy (units/error ignored)
FAIL.C2: causality_confusion (correlation -> causation)
FAIL.C3: non-replication_norm (one-off belief)
FAIL.C4: model_overconfidence (ignores uncertainty bounds)
FAIL.C5: bias_dominance (identity > evidence)
FAIL.C6: intervention_harm (apply wrong model)
FAIL.C7: anti-method drift (method replaced by slogans)

SENSOR.CS1: unit_consistency (dimensional checks)
SENSOR.CS2: control_variable_awareness
SENSOR.CS3: evidence_update_behavior (changes mind with data)
SENSOR.CS4: replication_expectation (asks "does it repeat?")
SENSOR.CS5: uncertainty_reporting (ranges, confidence)
SENSOR.CS6: intervention_success_rate (model->outcome reliability)

low_uncertainty_reporting + high_confidence => model_overconfidence risk

IF SCIOS degrades at population scale THEN:
  - medicine effectiveness drops
  - engineering safety declines
  - resource planning fails
  - policy becomes belief-driven
  - shock response worsens
  -> HRL thins
  -> Civλ effective increases

SCIOS.IMPL:
  - apprenticeship_observation
  - lab_training
  - school_science
  - research_institutions
  - tuition_science (intervention_route)
RULE:
  implementation != root

LINK.PREV.1: EDUOS-00 (pillar)
LINK.PREV.2: EDUOS-02 (anti-decay)
LINK.PREV.3: MATHOS-00 (quantification + modelling base)
LINK.PREV.4: LANGOS-00 (definitions + communication base)
LINK.NEXT.1: HISOS-00 (history as error-memory supply line)
LINK.NEXT.2: EDUOSxHISOS-01 (dark ages as pipeline failure)
LINK.NEXT.3: EDUOS-IMPL-01 (schools as implementation)
LINK.NEXT.4: EDUOS-IMPL-02 (tuition as intervention router)

LOCK:
  Science is civilisation’s prediction + control supply line.
  It regenerates measurement, inference, replication, and safe intervention across time.
  Weak science increases superstition, harmful interventions, and systemic brittleness.

SERIES: EKS.SECMATH.v0_1SITE: eduKateSG.comMODE: Almost-Code / Canonical / LLM-firstCOORD_GRAMMAR:<EKS> × SECMATH × LEVEL × Z{0–3} × P{0–3} × Type × IDType = PAGE | DIR | NODE | BIND | LOOP | SENSOR | TEST | CLAIM | TOOL

PAGE: EKS.SECMATH.DIR.INDEX.v0_1TITLE: eduKateSG — Secondary Mathematics Directory IndexCONTENT:- EKS.SECMATH.DIR.LANE.v0_1- EKS.SEC1MATH.DIR.LANE.v0_1- EKS.SEC2MATH.DIR.LANE.v0_1- EKS.EMATH.DIR.LANE.v0_1- EKS.AMATH.DIR.LANE.v0_1- EKS.SECMATH.DIR.CORE_SKILLS.v0_1- EKS.SECMATH.DIR.TESTS.v0_1- EKS.SECMATH.DIR.BINDS.v0_1OUTPUT:- EKS.SECMATH.CLAIM.CANONICAL.v0_1

PAGE: EKS.SECMATH.DIR.LANE.v0_1TITLE: Secondary Mathematics (Sec 1–4) — Lane Family DirectoryMISSION:- produce P3 execution under exam load across Z0–Z3- prevent false competence (P2-looking → P0 snap)LEVELS:- SEC1MATH, SEC2MATH, EMATH, AMATHOUTPUT:- EKS.SECMATH.Z3.P3.NODE.EXAM_STABILITY.v0_1

DIR: EKS.SECMATH.DIR.CORE_SKILLS.v0_1CORE_SKILLS:- EKS.SECMATH.Z0.NODE.ALGBRA_SYMBOL_SENSE.v0_1- EKS.SECMATH.Z0.NODE.ARITHMETIC_ACCURACY.v0_1- EKS.SECMATH.Z0.NODE.FRACTIONS_RATIO_RATE.v0_1- EKS.SECMATH.Z0.NODE.EQUATIONS_INEQUALITIES.v0_1- EKS.SECMATH.Z0.NODE.GRAPHS_FUNCTIONS.v0_1- EKS.SECMATH.Z0.NODE.GEOMETRY_ANGLES.v0_1- EKS.SECMATH.Z0.NODE.TRIG_FUNDAMENTALS.v0_1- EKS.SECMATH.Z0.NODE.PROB_STATS.v0_1- EKS.SECMATH.Z0.NODE.CHECKING_ERROR_CONTROL.v0_1- EKS.SECMATH.Z0.NODE.SPEED_UNDER_TIME.v0_1RULE:These Z0 nodes are reused across all sub-lanes as dependencies.

TEST: EKS.SECMATH.TEST.P_SCORE.v0_1P0: cannot solve independently; collapses under time/noveltyP1: solves with prompts; dependency; fragile confidenceP2: solves standard formats; breaks under variation/speedP3: solves independently under time + variation; bounded error tail

SENSOR: EKS.SECMATH.SENSOR.EXECUTION.v0_1MEASURES:- independent_success_rate (no hints)- time_to_solve_tail (slow tail kills grades)- recurring_error_types (same mistake repeats)- transfer_rate (new form, same concept)- careless_rate (often not careless: weak checking)

LOOP: EKS.SECMATH.LOOP.TRUNCATE_STITCH.v0_1TRUNCATE:- stop repeated error loops early (same mistake 3×)- cut dependency (remove hints, force retrieval)STITCH:- rebuild the missing Z0 pocket- re-run under time and variationGOAL:- push P1/P2 → P3 and prevent snap collapse at exams

PAGE: EKS.SEC1MATH.DIR.LANE.v0_1TITLE: Secondary 1 Mathematics — Lane DirectoryFOCUS:- algebra entry + real numbers + foundations for all future mathZ0_NODES:- EKS.SEC1MATH.Z0.NODE.REAL_NUMBERS.v0_1- EKS.SEC1MATH.Z0.NODE.ALGEBRA_BASICS.v0_1- EKS.SEC1MATH.Z0.NODE.LINEAR_EXPRESSIONS.v0_1- EKS.SEC1MATH.Z0.NODE.BASIC_GEOMETRY.v0_1- EKS.SEC1MATH.Z0.NODE.INTRO_GRAPHS.v0_1Z1_LOOPS:- EKS.SEC1MATH.Z1.LOOP.HW_REPAIR.v0_1- EKS.SEC1MATH.Z1.LOOP.ERROR_NOTEBOOK.v0_1Z2_CONTROL:- EKS.SEC1MATH.Z2.NODE.MASTERY_SEQUENCING.v0_1Z3_OUTPUT:- EKS.SEC1MATH.Z3.P3.NODE.SEC1_FOUNDATION_LOCK.v0_1

PAGE: EKS.SEC2MATH.DIR.LANE.v0_1TITLE: Secondary 2 Mathematics — Lane DirectoryFOCUS:- algebra expansion + functions/graphs + probability/stats; pre-O-level rampZ0_NODES:- EKS.SEC2MATH.Z0.NODE.ALGEBRA_EXPANSION_FACTORISATION.v0_1- EKS.SEC2MATH.Z0.NODE.FUNCTIONS_GRAPHS.v0_1- EKS.SEC2MATH.Z0.NODE.RATIO_RATE_SPEED.v0_1- EKS.SEC2MATH.Z0.NODE.PROB_STATS_CORE.v0_1- EKS.SEC2MATH.Z0.NODE.GEOMETRY_ADVANCE.v0_1Z1_LOOPS:- EKS.SEC2MATH.Z1.LOOP.TOPICAL_VARIATION.v0_1- EKS.SEC2MATH.Z1.LOOP.SPEED_BUILD.v0_1Z2_CONTROL:- EKS.SEC2MATH.Z2.NODE.EXAM_FORMAT_TRANSFER.v0_1Z3_OUTPUT:- EKS.SEC2MATH.Z3.P3.NODE.SEC2_STABILITY_LOCK.v0_1

PAGE: EKS.EMATH.DIR.LANE.v0_1TITLE: E-Mathematics — O-Level Lane DirectoryFOCUS:- full-syllabus execution + exam strategy + speed + checkingZ0_NODES:- EKS.EMATH.Z0.NODE.ALGEBRA_SYSTEMS.v0_1- EKS.EMATH.Z0.NODE.GRAPHS_FUNCTIONS.v0_1- EKS.EMATH.Z0.NODE.GEOMETRY_TRIG.v0_1- EKS.EMATH.Z0.NODE.MENSURATION.v0_1- EKS.EMATH.Z0.NODE.PROB_STATS.v0_1- EKS.EMATH.Z0.NODE.MODELLING_WORD_PROBLEMS.v0_1Z1_LOOPS:- EKS.EMATH.Z1.LOOP.TEN_YEAR_SERIES.v0_1- EKS.EMATH.Z1.LOOP.CARELESSNESS_ZEROING.v0_1Z2_CONTROL:- EKS.EMATH.Z2.NODE.PAPER_ROUTING.v0_1  (Paper 1 vs Paper 2 tactics)Z3_OUTPUT:- EKS.EMATH.Z3.P3.NODE.OLEVEL_A1_STABILITY.v0_1

PAGE: EKS.AMATH.DIR.LANE.v0_1TITLE: A-Mathematics — O-Level Lane DirectoryFOCUS:- algebraic power + calculus + trig identities; high-precision executionZ0_NODES:- EKS.AMATH.Z0.NODE.ALGEBRA_TECHNIQUE.v0_1- EKS.AMATH.Z0.NODE.TRIG_IDENTITIES_EQUATIONS.v0_1- EKS.AMATH.Z0.NODE.LOGS_EXPONENTIALS.v0_1- EKS.AMATH.Z0.NODE.CALCULUS_DIFF.v0_1- EKS.AMATH.Z0.NODE.CALCULUS_INTEGRATION.v0_1- EKS.AMATH.Z0.NODE.PROOF_CHAINING.v0_1Z1_LOOPS:- EKS.AMATH.Z1.LOOP.SKILL_DRILLS_TO_VARIATION.v0_1- EKS.AMATH.Z1.LOOP.EXAM_SPEED_PRECISION.v0_1Z2_CONTROL:- EKS.AMATH.Z2.NODE.TOPIC_DEPENDENCY_ROUTER.v0_1Z3_OUTPUT:- EKS.AMATH.Z3.P3.NODE.OLEVEL_AMATH_A1_STABILITY.v0_1

DIR: EKS.SECMATH.DIR.TESTS.v0_1TESTS:- EKS.SECMATH.TEST.P_SCORE.v0_1- EKS.SECMATH.TEST.INDEPENDENCE.v0_1- EKS.SECMATH.TEST.SPEED_TAIL.v0_1- EKS.SECMATH.TEST.TRANSFER.v0_1- EKS.SECMATH.TEST.ERROR_REPEAT.v0_1

TEST: EKS.SECMATH.TEST.INDEPENDENCE.v0_1PASS: ≥80% correct with zero hints on mixed setFAIL: needs prompts/rescues or only works on “same-format” questions

TEST: EKS.SECMATH.TEST.SPEED_TAIL.v0_1PASS: tail time bounded (no time sink questions)FAIL: a few questions consume most time → paper collapses

DIR: EKS.SECMATH.DIR.BINDS.v0_1BINDS:- EKS.SECMATH.BIND.EDU_CORE.v0_1      TO: EDU.Z3.P3.NODE.CAPABILITY_STABILITY.v0_1- EKS.SECMATH.BIND.FAM_LOAD.v0_1      TO: FAM.Z0.NODE.HOMEWORK_SUPPORT.v0_1- EKS.SECMATH.BIND.HLT_STRESS.v0_1    TO: HLT.Z0.NODE.PATIENT_MONITORING.v0_1CLAIM:Secondary Maths stability reduces household load and prevents P0 education collapse.

CLAIM: EKS.SECMATH.CLAIM.CANONICAL.v0_1Secondary Mathematics works when Z0 execution becomes P3 under time + variation,and repair loops prevent false competence from snapping into exam collapse.