def
scaffolding
sorry stub
rs_modal_logic_status
show as:
view Lean formalization →
formal statement (Lean)
80def rs_modal_logic_status : String :=
proof body
Body contains sorry. Scaffold only; not proved.
81 "╔══════════════════════════════════════════════════════════════╗\n" ++
82 "║ RS MODAL LOGIC: THE GRAMMAR OF POSSIBILITY ║\n" ++
83 "╠══════════════════════════════════════════════════════════════╣\n" ++
84 "║ ║\n" ++
85 "║ CORE MODULES: ║\n" ++
86 "║ ├─ Possibility.lean What COULD BE ║\n" ++
87 "║ ├─ Actualization.lean How possibilities become actual ║\n" ++
88 "║ └─ ModalGeometry.lean Shape of possibility space ║\n" ++
89 "║ ║\n" ++
90 "╠══════════════════════════════════════════════════════════════╣\n" ++
91 "║ PHILOSOPHICAL ANSWERS: ║\n" ++
92 "║ ║\n" ++
93 "║ Q: Why does anything happen? ║\n" ++
94 "║ A: J_stasis > J_change for x ≠ 1 ║\n" ++
95 "║ (Staying away from identity costs more than moving) ║\n" ++
96 "║ ║\n" ++
97 "║ Q: What are counterfactuals? ║\n" ++
98 "║ A: Alternative paths in P(c) not chosen by A ║\n" ++
99 "║ (Unrealized finite-cost alternatives) ║\n" ++
100 "║ ║\n" ++
101 "║ Q: What is necessity vs contingency? ║\n" ++
102 "║ A: □p = forced by cost, ◇p = permitted by cost ║\n" ++
103 "║ Contingency = degeneracy (multiple cost-equivalents) ║\n" ++
104 "║ ║\n" ++
105 "║ Q: Why is there something rather than nothing? ║\n" ++
106 "║ A: J(0) = ∞ (nothing costs infinity) ║\n" ++
107 "║ J(1) = 0 (existence costs nothing) ║\n" ++
108 "║ ║\n" ++
109 "╠══════════════════════════════════════════════════════════════╣\n" ++
110 "║ LEAN STATUS: ║\n" ++
111 "║ • Possibility operator: DEFINED ║\n" ++
112 "║ • Actualization operator: DEFINED ║\n" ++
113 "║ • Modal necessity/possibility: DEFINED ║\n" ++
114 "║ • Cost of stasis/change: DEFINED ║\n" ++
115 "║ • Modal geometry: DEFINED ║\n" ++
116 "║ • Key theorems: PARTIALLY PROVED (some sorry) ║\n" ++
117 "║ ║\n" ++
118 "║ NEXT STEPS: ║\n" ++
119 "║ • Complete numerical bounds for why_anything_happens ║\n" ++
120 "║ • Prove modal completeness fully ║\n" ++
121 "║ • Connect to ULQ modal logic stubs ║\n" ++
122 "║ • Write paper: 'The Geometry of Could-Be' ║\n" ++
123 "╚══════════════════════════════════════════════════════════════╝"
124
125#check rs_modal_logic_status
126
127end Modal
128
129end IndisputableMonolith