Tao Te Ching — Chapters 41–50

N=1 fine-grained distillation. Source: Legge, SBE 39 (1891), Gutenberg #216. Quotes pending Phase 7 verification. Tags & method: ../00-methodology.md.

Chapter-group role

The Dao laughed at by the dull, full of paradox (41); the Dao generates One/Two/Three/all, harmonized by qi; the violent die unnaturally (42); the softest overcomes the hardest; teaching without words (43); fame vs life, contentment (44); great fullness seems empty; stillness governs (45); contentment is enduring sufficiency, war when the Dao is lost (46); know the world without going out (47); the Dao decreases doing day by day (48); the sage has no fixed mind, is good even to the not-good (49); the master of life finds no place for death (50).

Atomic statements

T4b-C1: The Dao is full of paradox — bright yet seeming dark, advancing yet seeming to retreat; the dull laugh at it, which proves it the Dao. (EXHORTATION / DAO+KNOW)

TTC 41: "Scholars of the lowest class, when they have heard about it, laugh greatly at it. If it were not (thus) laughed at, it would not be fit to be the Tao… The Tao, when brightest seen, seems light to lack; Who progress in it makes, seems drawing back."
Stance: assert · Importance: supporting

T4b-C2: The Dao produces One, Two, Three, all things, harmonized by the breath of vacancy; the violent and strong "do not die their natural death." (FOUNDATIONAL / DAO+SOFT)

TTC 42: "The Tao produced One; One produced Two… All things… are harmonised by the Breath of Vacancy… The violent and strong do not die their natural death."
Stance: assert · Importance: core · Untranslatable: qi ("the Breath of Vacancy"); yin/yang implicit in "the Obscurity… the Brightness"

T4b-C3: The softest in the world overcomes the hardest; the advantage of non-action and wordless teaching is reached by few. (FOUNDATIONAL / SOFT+WUWEI)

TTC 43: "The softest thing in the world dashes against and overcomes the hardest… I know hereby what advantage belongs to doing nothing (with a purpose)… the teaching without words."
Stance: assert · Importance: core · Untranslatable: wu wei ("doing nothing with a purpose")

T4b-C4: Fame and wealth are less dear than life; whoever knows contentment and when to stop is free from disgrace and danger. (OPERATIONAL / LIFE+PU)

TTC 44: "Who cleaves to fame Rejects what is more great… Who is content Needs fear no shame. Who knows to stop Incurs no blame."
Stance: assert · Importance: core

T4b-C5: Greatest fullness seems empty, greatest skill seems clumsy; purity and stillness set the right standard for all. (EXHORTATION / WUWEI+SOFT)

TTC 45: "Of greatest fulness, deemed a void… Thy greatest art still stupid seem… Purity and stillness give the correct law to all under heaven."
Stance: assert · Importance: supporting

T4b-C6: When the Dao prevails, war-horses pull dung-carts; the greatest fault is the wish to acquire — contentment is enduring sufficiency. (OPERATIONAL / GOVERN+PU)

TTC 46: "When the Tao prevails… they send back their swift horses to (draw) the dung-carts… no fault greater than the wish to be getting. Therefore the sufficiency of contentment is an enduring and unchanging sufficiency."
Stance: assert · Importance: core

T4b-C7: One can know the world and the Dao of Heaven without going outside; going farther afield, one knows less. (FOUNDATIONAL / KNOW)

TTC 47: "Without going outside his door, one understands (all that takes place) under the sky… The farther that one goes out (from himself), the less he knows."
Stance: assert · Importance: core

T4b-C8: Learning adds daily; the Dao subtracts daily, until non-action, after which nothing is left undone. (FOUNDATIONAL / WUWEI+KNOW)

TTC 48: "He who devotes himself to learning (seeks)… to increase… he who devotes himself to the Tao (seeks)… to diminish (his doing)… Having arrived at this point of non-action, there is nothing which he does not do."
Stance: assert · Importance: core · Untranslatable: wu wei ("non-action")

T4b-C9: The sage has no fixed mind of his own; he is good to the good and the bad alike, sincere to the sincere and insincere alike. (OPERATIONAL / VIRTUE+WUWEI)

TTC 49: "The sage has no invariable mind of his own; he makes the mind of the people his mind. To those who are good (to me), I am good; and to those who are not good (to me), I am also good."
Stance: assert · Importance: core

T4b-C10: He who is skilful in keeping his life entrusted to him meets no place for death in himself. (OPERATIONAL / LIFE)

TTC 50: "[H]e who is skilful in managing the life… travels on the land without having to shun rhinoceros or tiger… Because there is in him no place of death."
Stance: assert · Importance: supporting

T4b-C11: Excessive striving to perpetuate life moves one toward death. (OPERATIONAL / LIFE)

TTC 50: "…whose aim is to live, but whose movements tend to the land (or place) of death… Because of their excessive endeavours to perpetuate life."
Stance: assert · Importance: supporting · Depends on: T4b-C10

Step 4 — Clusters

Cluster	Atomic statements	Intent
Paradox of the Dao	C1, C5	The Dao confounds ordinary sense
Generation & harmony	C2	The Dao generates all, harmonized by qi
Soft & wu wei	C3, C5, C8	Softness, stillness, decreasing doing prevail
Contentment over acquisition	C4, C6	Life and contentment over fame, wealth, getting
Inner knowing	C7, C8	The Dao is known by subtraction, not travel/learning
Indiscriminate goodness	C9	The sage is good to all alike
Mastering life	C10, C11	Right care of life leaves no opening to death

Step 5 — Internal tensions

None genuine. The praise of "diminishing doing" (C8) coheres with all prior wu wei statements.

Step 6 — Synthesized chapter-group principles

T5-P1: The Dao is known by subtraction, not by accumulating learning or travel

One knows the world and the Dao of Heaven from within; "the farther one goes out, the less he knows." The Dao decreases doing day by day until non-action, after which nothing is undone.

Tier: FOUNDATIONAL · Domain: KNOW · Covers: C7, C8 · Evidence: TTC 47, 48 · Untranslatable: wu wei

T5-P2: The soft, still, and unforced overcome the hard and forced

The softest overcomes the hardest; purity and stillness set the standard; greatest fullness seems empty — wu wei and wordless teaching outdo force.

Tier: FOUNDATIONAL · Domain: SOFT · Covers: C3, C5 · Evidence: TTC 43, 45

T5-P3: Contentment is enduring sufficiency; acquisition is the great fault

Fame and wealth are worth less than life; "no fault greater than the wish to be getting"; when the Dao prevails, war-horses haul dung — peace and sufficiency replace conquest.

Tier: OPERATIONAL · Domain: PU · Covers: C4, C6 · Evidence: TTC 44, 46

T5-P4: The sage has no fixed self and is good to all alike

Having no rigid private mind, the sage adopts the people's mind and extends goodness and sincerity even to the not-good and insincere.

Tier: OPERATIONAL · Domain: VIRTUE · Covers: C9 · Evidence: TTC 49

T5-P5: The Dao generates all and harmonizes them; force shortens life

The Dao produces the One and the many, harmonized by qi; the violent "do not die their natural death," while right care of life leaves no opening to death.

Tier: FOUNDATIONAL · Domain: DAO · Covers: C2, C10, C11 · Evidence: TTC 42, 50 · Untranslatable: qi, yin/yang

Step 7 — Traceability

Principle	Atomic statements	Chapters
T5-P1	C7, C8	TTC 47, 48
T5-P2	C3, C5	TTC 43, 45
T5-P3	C4, C6	TTC 44, 46
T5-P4	C9	TTC 49
T5-P5	C2, C10, C11	TTC 42, 50
(paradox context)	C1	TTC 41

Step 8 — Quality

Coverage: 10/10 chapters (100%); C1 captured as paradox-framing context.
Orphaned: 0%.
Principles: 5.
Traceability: 100%.

Step 9 — Validation

Standalone comprehension: T5-P3 (contentment over acquisition), T5-P4 (goodness to all, even enemies) are highly intelligible and strong convergence candidates (cf. "love your enemies"). T5-P1's "know without going out" and T5-P5's cosmogony carry the Dao warrant. Claim-vs-warrant note: T5-P4 ("good to those who are not good to me") closely echoes Christian non-retaliation at the claim level; the Taoist warrant is wu wei and the sage's lack of a fixed self, not a command of love — recorded for the Atlas as same-claim/different-warrant.