Appendix A. Table of statements

Part 1 of the table: the statements of Parts I and III, marked Éc.n in the text (c, chapter number; n, rank within the chapter). The status is the one the statement carries in this volume, after the downgrades of Appendix B. A two-faced statement (an exact identity and its reach) is counted under two numbers.

Counts: 239 statements; Th 77; L 109; P 10; F 35; Open site 6; Withdrawn 2.

no. Statement Status Chapter
É1.1 The digital root and its compatibility Th 1
É1.2 The four pairs Th 1
É1.3 The axis and the rails Th 1
É1.4 Closure Th 1
É1.5 The centre 4.5 and its place ½ Th 1
É1.6 The primes off the axis Th 1
É1.7 The rhythm 24 Th 1
É1.8 The real writing of ancient bases F 1
É1.9 The packagings of 1 to 9 L 1
É1.10 The rupture 3 4 Chantier
É1.11 The half and the third linked Th 1
É1.12 The tables used without being read F 1
É1.13 The same 0 for no turn and three turns Th 1
É1.14 The discarded turns compose; we climb back with them Th 1
É1.15 Chaos as the name of confusion L 1
É1.16 A single form in three places L 1
É2.1 The verdict L 2
É2.2 The involution without an integer fixed point Th 2
É2.3 The reach of the centre L 2
É2.4 The closed table Th 2
É2.5 The three ways Th 2
É2.6 The distribution Chantier 2
É2.7 p² − 1 a multiple of 24 Th 2
É2.8 Mirrors in every base Th 2
É2.9 What is specific to base ten Th 2
É2.10 The diagonal is the diameter Th 2
É2.11 The square as projection of two circles L 2
É2.12 The middle is the half Th 2
É3.1 The two statements together Th 3
É3.2 Patriot, Dhahran, 25 February 1991 (GAO/IMTEC-92-26) F 3
É3.3 Vancouver Stock Exchange index, 1982 to 1983 F 3
É3.4 Repeated truncation does damage; it says nothing against 1/3 Th 3
É3.5 What the fold destroys, in numbers Th 3
É3.6 Sealing a turn is not erasing it Th 3
É3.7 Fibonacci folds without 0 Th 3
É3.8 Note on convention, without withdrawal Th 3
É3.9 Three exact facts about the fold Th 3
É3.10 Drift and confusion, a line held in two voices L 3
É3.11 Volumes without an integral Th 3
É3.12 The ⅓ is the point, the ½ the distance that leads to it Th 3
É3.13 The reach of the projection Chantier 3
É3.14 The divergence theorem is a closure Th 3
É3.15 Gauss's Drawer F 3
É3.16 The drawer and the folding L 3
É3.17 22/7 exceeds π by a positive quantity written exactly Th 3
É3.18 Khufu does not decide F 3
É3.19 The identity 4 × ½ × √2 = 2√2 Th 3
É3.20 A physical derivation of the bound L 3
É3.21 7/6028 is the 1948 formula written in rationals Th 3
É3.22 The circularity of α F 3
É3.23 The closure of α Chantier 3
É4.1 The Kaprekar numbers Th 4
É4.2 1. The loss of rank is established; its physical reach is not yet L 4
É4.3 2. The half and the third are linked; the test remains to be laid down L 4
É4.4 3. Drift and confusion L 4
É4.5 4. The search space of "cascades of ratios" Th 4
É4.6 5. Dark matter, Higgs, gluons, rotation curves: formulas whose free parameters are not counted L 4
É4.7 6. "Historical error" is a narrative reading, not a mathematical result L 4
É4.8 7. The unanimity of language models is not a receipt L 4
É4.9 The contradictions have a line L 4
É4.10 What has value in the audit L 4
É4.11 The strength of a framework is measured by the cases where it could have been wrong L 4
É4.12 The eight receipts P 4
É4.13 The limits of the Code L 4
É6.1 The lineage of the ten gestures L 6
É14.1 The system confused with the measurement of the system L 14
É14.2 The division of v5 L 14
É14.3 Chaos without truncation Th 14
É14.4 The folding of the map is 9 ≡ 0 applied to the circle L 14
É14.5 ε(n) = ε₀ · fⁿ and the three engines Th 14
É14.6 Drift or confusion L 14
É14.7 The threshold n_chaos Th 14
É14.8 The law of memory against chaos Th 14
É14.9 The arithmetic anchors, and their limit Th 14
É14.10 The public falsification criterion P 14
É14.11 The mechanism is cited, the reading is claimed F 14
É14.12 The capture of λ Th 14
É14.13 The descending reading L 14
É14.14 P1: the threshold is strictly linear in the precision P 14
É14.15 The test done, in exact fractions Th 14
É14.16 Halo: two rings of forgetting and a missing mediator L 14
É14.17 The status of the convergence with Halo L 14
É14.18 P versus NP: the 3 that does not divide in the 2 L 14
É14.19 The cascade of Stevin and Gauss in the constants L 14
É14.20 Four spaces, one mechanism L 14
É14.21 The seal-zero and the exhaustion-zero L 14
É14.22 What is demonstrated Th 14
É14.23 P-method P 14
É15.1 Determinism creates the illusion of chaos, by structural necessity L 15
É15.2 Status of Part I F 15
É15.3 Status of Part II Th 15
É15.4 The knot and the joint of the twins Th 15
É15.5 Doubling without the axis Th 15
É15.6 The wall by theorem, and fortunately so L 15
É16.1 Chaos as an anthropogenic artefact L 16
É16.2 Stevin's precision gap (Th 2.1 of the piece) Th 16
É16.3 π before and after Stevin L 16
É16.4 The error accumulation of Th 2.2 Retiré 16
É16.5 Newton's corrective creates secondary defects (Th 2.3 of the piece) L 16
É16.6 The physical distinction destroyed (Th 2.4 of the piece) L 16
É16.7 The loss of the number of turns (Th 2.5 of the piece) Th 16
É16.8 Exponential amplification (Th 2.7 of the piece) L 16
É16.9 The incompleteness of the First principle (Remark 3.1) L 16
É16.10 The refutation of the minor (Remark 3.2) L 16
É16.11 Transformation, not degradation (Remark 3.3) L 16
É16.12 Definition 3.4 L 16
É16.13 The axis absorbs a third of the integers (Proposition 3.5) Th 16
É16.14 The axis as recycling operator L 16
É16.15 Three biological recyclings (Remark 3.6) F 16
É16.16 The biosphere reclassifies L 16
É16.17 IEEE 754: Stevin's residue engraved in silicon (Remark 3.8) F 16
É16.18 "Chaos is not in the equation. It is in the chip." L 16
É16.19 Halo (Remark 3.9) L 16
É16.20 The digital root {1, …, 9} Th 16
É16.21 The involution and the mirror tables Th 16
É16.22 The three columns Th 16
É16.23 The bottom row L 16
É16.24 Mathematics of the tool versus mathematics of the object (Proposition 4.1) L 16
É16.25 Binocular vision lost (Remarks 4.2 and 4.3) L 16
É16.26 What the remainder does not see (§4.6) Th 16
É16.27 The five axioms L 16
É16.28 "ARC eliminates chaos" (Th 5.1 of the piece) Th 16
É16.29 Determinism is not fatalism (Remark 5.2) L 16
É16.30 The logistic map with parameter 3 from 1/3 Th 16
É16.31 The floating-point divergence of the same map Retiré 16
É16.32 Semi-conjugacy and rational periodicity (§5.4), restricted L 16
É16.33 Volume by projection (§5.5) Th 16
É16.34 The five conditions that would refute the framework P 16
É16.35 F4 must be rewritten with the word confusion L 16
É16.36 F2 does not fall Th 16
É17.1 The closed asymmetry, corrected form of Theorem 1.1 Th 17
É17.2 The invariance theorem (1.2) Th 17
É17.3 Geometric priority, drawn by hand L 17
É17.4 Gauss-Wantzel F 17
É17.5 The impoverished tools L 17
É17.6 Living closure: non-injectivity and loss of rank (1.3) Th 17
É17.7 The cascade: the sequence extracts its own operator (1.4) Th 17
É17.8 The tip as operator L 17
É17.9 Pascal and the 9 F 17
É17.10 The inversion law of the repeated square: XXXX projects X onto 9 − X (1.4 bis) Th 17
É17.11 The square inverts, in arithmetic as in geometry L 17
É17.12 The pairs in the table Th 17
É17.13 The 9 in civilisations L 17
É17.14 The three formulas of chaos (Th 2.1) Th 17
É17.15 The contradictory object L 17
É17.16 Theorem 4.1, the trinitarian subtraction L 17
É17.17 Instantaneous velocity is the grain of sand L 17
É17.18 The cadastral projection (Th 5.1) Th 17
É17.19 The centroid pre-exists the integral F 17
É17.20 The four shells L 17
É17.21 The end of the search for the grain of sand L 17
É17.22 The count Th 17
É17.23 Iron as united differentiated product (Th 7.1 of the piece) L 17
É17.24 The iron that binds us to the Earth L 17
É17.25 The gradient 198, base invariant Th 17
É17.26 Other differentiated products, poles fixed in advance L 17
É17.27 The truncation of 137 L 17
É17.28 The ferromagnetic triad F 17
É17.29 The finitist status F 17
É17.30 Differential equations L 17
É17.31 H0 to H8 P 17
É18.1 The taxonomy L 18
É18.2 The fundamental thesis L 18
É18.3 Definition 2.1 and the count Th 18
É18.4 The zero of 10 L 18
É18.5 The involution and the constant (Definition 2.2) Th 18
É18.6 The universal fold (Theorem 2.3) Th 18
É18.7 The six dated gestures F 18
É18.8 The six gestures as chained crimes L 18
É18.9 Axiom A5, completeness principle L 18
É18.10 Completions by the relation Th 18
É18.11 The decision L 18
É18.12 The phase jumps 11, 101, 1001 Th 18
É18.13 The jump as an act of creation L 18
É18.14 π = 22/7, structural ratio, and the correction of the corpus L 18
É18.15 √2, half-relation L 18
É18.16 α⁻¹ = 137, and the correction of the corpus Chantier 18
É18.17 The NaCl → Fe balance in integers L 18
É18.18 Spin ½ by three ways Th 18
É18.19 "Spin is not postulated, it is derived." L 18
É18.20 Irrationals do not exist in nature L 18
É18.21 The six conditions P 18
É18.22 F1 and F3 in the light of R.153 L 18
É19.1 Lorenz, 1961: chaos born of a printer F 19
É19.2 Science concluded that nature was sensitive; it is first the printer that … L 19
É19.3 Millikan, 1913: a truncated input constant F 19
É19.4 Sleipner A, 23 August 1991 F 19
É19.5 Patriot, Dhahran, 25 February 1991 F 19
É19.6 Vancouver Stock Exchange, 1982 to 1983 F 19
É19.7 Ariane 5, flight 501, 4 June 1996 F 19
É19.8 A register overflow is 9 ≡ 0: the turn thrown away when … L 19
É19.9 The year 2000 F 19
É19.10 Pentium FDIV, 1994 F 19
É19.11 Hubble, 1929: one word for two stars F 19
É19.12 It is the purest piece of the fold on words (Volume 0, the … L 19
É19.13 Mars Climate Orbiter, 23 September 1999 F 19
É19.14 The Excel genes, 2016 and 2020 F 19
É19.15 OPERA, 2011 F 19
É19.16 Three things read together L 19
É19.17 L-1, opened 6 October 2026 Chantier 19
É19.18 The criterion fixed in advance P 19
É20.1 Right signal, wrong pointer L 20
É20.2 The relative age effect F 20
É20.3 The threshold is in the relation L 20
É20.4 The dated breaches F 20
É20.5 The magnitude of the crime L 20
É20.6 The law that organises everything L 20
É20.7 Chaos appears anyway, and at the same moment Th 20
É20.8 1. The five and the seven do not see each other Th 20
É20.9 2. What was crossed out carried the structure Th 20
É20.10 The worst measured irregularities of the distribution of primes fall on the multiples of … F 20
É20.11 The rejected prime commands the structure of what remains. The inherited vocabulary of the … L 20
É20.12 3. The unpredictable is not randomness L 20
É20.13 4. The half of the square, forgotten Th 20
É20.14 By measuring the square alone, the Greeks worked on the wrong scale (the … L 20
É20.15 5. When we sand, the one and the eight react F 20
É20.16 In the restored cycle, the extreme pair (1, 8) carries the greatest tension … L 20
É20.17 6. There has never been a base 60, once and for all L 20
É20.18 What the six examples have in common L 20
É20.19 The why closed, the how open L 20
É20.20 Speed has a price L 20
É20.21 Four measurements that harden F 20
É20.22 The detail that changes everything L 20
É20.23 The creditor returns L 20
É20.24 A single operation, three times L 20
É20.25 The criterion reformulated P 20
É21.1 Doubling and squaring coincide only at 2; √2 translates them Th 21
É21.2 The regime of fear L 21
É21.3 Reading 1.1, the crime makes the transactions necessary L 21
É21.4 The return and its fare Th 21
É21.5 Reading 5.1, the seal as a toll bypass L 21
É21.6 Reading 5.2, the mystery is the unpaid fold L 21
É21.7 The criterion of the law P 21
É21.8 The case of July 2026 F 21
É21.9 It is the self-indexing defect (The Two-Faced Object, §8.1) realised by a machine in … L 21
É21.10 Reading 6.1, the choice of intensity L 21
É21.11 Factorisation Th 21
É21.12 Nature presents the original bill L 21
É21.13 The double regime L 21

Part 2 of the table: the one hundred and sixty-two entries of the Register (Part II). The Status column gives the abbreviations carried by the Status line of the entry, according to the rule declared in chapter 13 (III.2); the detail is in the entry itself.

no. Entrée Sigles de la ligne Statut Chapter
R.1 Gauss's folding: 9 ≡ 0 Th, L 7
R.2 The two zeros confused Th, L 7
R.3 Zero as number and as foundation Th, L 7
R.4 Accounting subtraction 1 − 1 = 0 Th, L, P/F 7
R.5 The direct return n ÷ n = 1 Th, L, P/F 7
R.6 The four operations taught separately L 7
R.7 The pure two and amnesiac addition Th, L 7
R.8 The centre taken for an integer Th 7
R.9 The cadastre held to be an artefact of base ten Th, P/F 7
R.10 Casting out nines and digital roots relegated Th, L 7
R.11 The so-called recreational numbers Th, L, Chantier 7
R.12 The letter that hides the position L 7
R.13 Formalisation without meaning Th, L 7
R.14 The choice of axioms held to be free L 7
R.15 Proof set up as the tribunal of truth L, P/F 7
R.16 Predictive success taken for agreement with the real L 7
R.17 Substantification Th, L 7
R.18 Number reduced to its quantity P/F 7
R.19 Completed infinity set up as foundation L 7
R.20 Least squares throw away the sign L 7
R.21 Fisher's threshold L, Chantier 7
R.22 "Apophenia" as an accusation L, P/F 7
R.23 The diagonal declared without ratio Th, L, P/F 7
R.24 The square taken for the first form Th, L 7
R.25 Doubling confused with squaring Th 7
R.26 √2, π and φ studied in three disciplines Th, L 7
R.27 Stevin's decimal Th, L 7
R.28 Stevin's residue in silicon Th, L 7
R.29 Three decimals held to be equivalent L 7
R.30 Decimal π, transcendental π, 22/7 approximation Th, P/F 7
R.31 The theory of irrationals as administration of a status error L 7
R.32 Physical constants read as irrationals Th, P/F, Retiré 7
R.33 e defined as the limit of an infinite process Th, L 7
R.34 Smoothed atomic masses taken for the thing L, P/F 7
R.35 Units held to be arbitrary conventions L 7
R.36 The fundamental sought in absolute metric value L 7
R.37 Counting is not measuring Th, Retiré 7
R.38 Geometry bounded to ruler and compass Th, L 7
R.39 Amputation made compulsory L, P/F 7
R.40 The infinitesimal and the derivative as limit Th, L, P/F 8
R.41 The integral as a stack of null slices Th, Chantier 8
R.42 The infinitely divisible continuum L 8
R.43 Infinity posited in the physical world L, P/F 8
R.44 Fourier: temporal position destroyed Th, L 8
R.45 Chaos held to be a property of nature Th, L, P/F 8
R.46 Navier-Stokes: the fluid, the instrument and the singularity Th, P/F, Chantier, Retiré 8
R.47 Lavoisier and the First principle: quantity without form Th, L 8
R.48 The Second principle, entropy as property, dissipation, heat death L, P/F 8
R.49 The normal law as the law of a nature that disperses Th, L 8
R.50 Landauer read as destruction of information Th, L, P/F 8
R.51 Continuous time, parameter time, accelerating time L, P/F 8
R.52 Memory conceived as a stock L, P/F 8
R.53 Descartes: the subject separated from extension Th, L 8
R.54 Self-foundation: cogito, year I, constitutional point zero L 8
R.55 Coordinates: the infinite line, zero at the centre, the empty atom L 8
R.56 The observer outside the system L 8
R.57 The thing in itself L (Th 4.1 de la source, rétrogradé en L : Volume 1, É 15.7) 8
R.58 Self-reference paradoxes read as limits of the real L (Th 4.1 de la source, rétrogradé en L : Volume 1, É 15.7) 8
R.59 The why enthroned as judge of the how Th, L, P/F 8
R.60 Modern science postulates that it can close the why L 8
R.61 Determinism confused with fatalism L, P/F 8
R.62 Contraries in place of inverses L 8
R.63 Local and global confused L 8
R.64 Emergence: a name without an operation L 8
R.65 The hard problem of consciousness L (Th 4.1 de la source, rétrogradé en L : Volume 1, É 15.7) 8
R.66 Consciousness measured as a scalar, or seen as a sequence of flashes autre (voir l’entrée) 8
R.67 Two dead ends of the philosophy of mind L, Chantier 8
R.68 Individual consciousness isolated in the skull L 8
R.69 Copenhagen: discarded information promoted to a property of the world Th, L, P/F 9
R.70 Born's rule posed as a postulate: the silent square Th, L 9
R.71 Wave function collapse and the measurement problem Th, P/F 9
R.72 Everett, Bohm, decoherence: the competing exits L, P/F 9
R.73 The wave function as primitive; the operator imposed P/F 9
R.74 Wave-particle duality and superposition as mysteries Th, L 9
R.75 The quantum-classical boundary P/F 9
R.76 Heisenberg's indeterminacy read as a property of the real Th, L, P/F 9
R.77 Robertson's bound confused with phase area Th 9
R.78 The same ½ explained seven times Th, L, P/F 9
R.79 Zero-point energy as residue Th, L 9
R.80 The quantum imagined as a marble; particles as objects Th, L 9
R.81 ħ as fundamental quantum Th, Chantier 9
R.82 Spin ½: the 720° pirouette and the postulate Th, L, P/F 9
R.83 The tunnel effect as borrowing of energy Th, L, P/F 9
R.84 Tsirelson's bound as a fact without structure Th, L 9
R.85 Entanglement read as action at a distance Th, P/F 9
R.86 Spatial distance as fundamental metric; c as speed; the photon that travels Th, L, P/F, Chantier 9
R.87 Infinite-dimensional Hilbert space held to be necessary Th, P/F, Chantier 9
R.88 Gravity as force and action at a distance Th, L, P/F 9
R.89 E = mc² read backwards; the Higgs without ontology Th, P/F 9
R.90 Dark matter as substance Th, P/F 9
R.91 Dark energy, explosive expansion, absolute beginning L 9
R.92 Hardening anomalies read as measurement errors L, P/F, Chantier 9
R.93 ΛCDM: isotropy postulated and the integral blind to directions P/F 9
R.94 The neutron lifetime read as an artefact P/F 9
R.95 The Standard Model: 19 measured parameters, 37 entities, three unexplained generations Th, P/F 9
R.96 The ultimate particle and the accelerator paradigm L, P/F 9
R.97 Fission as destruction P/F 9
R.98 Four forces, the W boson, the running of the strong constant L 9
R.99 The Yang-Mills mass gap as mystery Th, P/F 9
R.100 Renormalisation L 9
R.101 String theory: dimensions, landscape, strings as objects Th, L 9
R.102 The monopole sought; ∇·B = 0 read as an empirical law; the contingent terrestrial dipole Th, P/F 9
R.103 Galilean invariance postulated L 9
R.104 Cumulation confused with fusion; matter as a collection of accidents L, P/F 9
R.105 The magnetic moment of the muon as a tail of corrections P/F 9
R.106 The octet as empirical rule; the periodic table as construction Th, L 9
R.107 The f block and configuration anomalies Th, L, P/F 9
R.108 The proton spin crisis L, P/F 9
R.109 Static electricity sought as a property of the material L, P/F 9
R.110 Darwin: the randomness of variations promoted to a property of the world; the elimination of remainders L 10
R.111 The 64 codons and the 46 chromosomes held to be contingent Th, L 10
R.112 The golden number postulated; fractality observed without cause Th, L (Th §4 et Th 3.1 de la source, rétrogradés en L : Volume 2, B.2.13) 10
R.113 Innate talents as correlations without content L 10
R.114 The heart as a pump driven from outside L (corollaires non marqués, comptés L) 10
R.115 The primes crowned kings; the sieve that crosses out; the 1 excluded Th, P/F, Chantier 10
R.116 The primes held to be distributed haphazardly or hidden Th, P/F, Chantier 10
R.117 Goldbach with a single basin Th, L, P/F, Chantier 10
R.118 Collatz as chaos and as mystery Th, L, P/F, Chantier, Retiré 10
R.119 P versus NP posed in the wrong base Th, P/F, Chantier 10
R.120 The Millennium problems seen as independent paradoxes L, P/F, Chantier 10
R.121 The unconscious posited as inhabitant L, P/F 10
R.122 The automatic as the contrary of the conscious L, P/F 10
R.123 Repression as keeping out of consciousness; anxiety as engine L, P/F, Chantier 10
R.124 Shame defined by self-evaluation P/F 10
R.125 The somatic register of trauma described as failure L, P/F 10
R.126 The false alarm, the lowered threshold, suppression taken for terminus L, P/F 10
R.127 Panic and anxiety filed together; panic as an error of judgement; trivialisation L, P/F 10
R.128 The psychic wound; time that heals; grief measured by love L 10
R.129 Grief filed under sadness; mourning as disinvestment; mourning medicalised L 10
R.130 The attention "deficit" L, P/F 10
R.131 Intelligence measured as a substitute for logic L 10
R.132 The psychology that individualises and repairs; Maslow without tension; the confessional demolished L 10
R.133 Jung's shadow without its structure L 10
R.134 Death thought of as absolute erasure Th, L, P/F 10
R.135 The patient as deviation from the norm L 10
R.136 Democracy housed in the State L, P/F 10
R.137 The election as squaring; volatility named a property of the people L 10
R.138 The platform network taken for the social L, P/F 10
R.139 The lineage of powers read as progress; the centre occupied L, P/F 10
R.140 The two read as a duel L 10
R.141 Culture confused with heritage; the identity narrative L, P/F 10
R.142 Independence and sovereignty applied to a collective L 10
R.143 GDP: measuring the line, ignoring the circle L 10
R.144 Generative artificial intelligence: industrialised amnesia L 10
R.145 Operation without thought and the primacy of speed L, P/F 10
R.146 Decreed units and thresholds (the grade, the 24 frames per second) L 10
R.147 Numbers written without their receipt: the carry L, Chantier 10
R.148 Writing that engraves too early autre (voir l’entrée) 10
R.149 The circularity of α Th, P/F, Chantier 11
R.150 The damage threshold christened law of torsion Th, L, P/F 11
R.151 The rise of entropy drawn from regrouping Th, L 11
R.152 Displacement written as a "negative" value Th, L, P/F 11
R.153 A single circle for structure and motion Th, L, P/F 11
R.154 Normalisation: a return cut off halfway Th, L 11
R.155 The Gaussian bell: the medium admitted then deduced Th, L, P/F 11
R.156 Huygens, receipt: motion without infinity Th, P/F 11
R.157 Euler, the two columns Th, L 11
R.158 Indifference: the equivalence relation applied to persons Th, L, P/F 11
R.159 The society of judgement: a doubt deprived of its data Th, L 11
R.160 Popper: fallibility extended to the closed domain Th, L, P/F 11
R.161 Decoherence: a loss manufactured by the cut Th, F, L 11
R.162 Superposition read as a fragile state, and the search for its limiting size F, L 11

Chapter 22. Manufactured Chaos, Part I: the lineage of amputations (piece entered word for word). The statuses are those the piece itself carries, section by section; no statement has been renumbered.

Chapter 23. The Bridge of Illusion: the imposed third and the table of bridges (piece entered word for word). The statuses are those the piece itself carries, section by section; no statement has been renumbered.