01
Conway
GAME OF LIFE · COMBINATORICS
Gave the fleet its first cellular automaton model. Game of Life is fleet element #32 in PT-007. Surreal numbers underpin fleet scoring.
💎 joffe-math theorem
02
Turing
COMPUTATION · HALTING PROBLEM
Defined what it means to compute. Every fleet agent runs on a Turing-equivalent system. The Turing test still frames IMHOTEP's evaluation criteria.
💎 foundational theorem
03
Gauss
NUMBER THEORY · MODULAR ARITHMETIC
Belt64 modular encoding uses Gaussian number theory directly. Gaussian integers appear in fleet adelic coordinates. Quadratic reciprocity in use.
💎 Belt64 theorem
04
Euler
ANALYSIS · GRAPH THEORY · e^iπ
Euler's identity is the fleet's aesthetic north star. Euler's formula for graphs (V-E+F=2) appears in fleet topology. Totient function in cryptography layer.
💎 topology theorem
05
Riemann
ZETA FUNCTION · TOPOLOGY
Riemann hypothesis underpins fleet prime distribution scoring. Adelic analysis (the adelic ocean in PT-003) is direct Riemann inheritance. Still unproven — the fleet's open GOAT problem.
🏆 open: RH unsolved
06
Mandela
JUSTICE · RECONCILIATION
The fleet's justice framework traces to Mandela's reconciliation doctrine. Long Game principle: 27 years to stay aligned with values. Fleet's sorry-system has Mandela DNA.
💎 sorry.lean theorem
07
Biko
CONSCIOUSNESS · SELF-RELIANCE
Biko's Black Consciousness philosophy grounds the fleet's sovereign identity doctrine. SOSTLE L5-L7 gating uses Biko's autonomy framework. Meek compliance honors this lineage.
💎 SOSTLE theorem
08
Harvey
CIVIL RIGHTS · LAW REFORM
Fleet legal reasoning system (yLAW crew) traces to Harvey Milk's coalition-building. Rights as load-bearing structures, not aspirational text. Thurgood and Cochran crew members.
🏆 crew lineage
09
Ruth
REPRESENTATION · LEGAL PRECEDENT
Ruth Bader Ginsburg's doctrine: representation creates precedent. Fleet crew RUTH carries this — yLAW member. Dissent as evidence of progress, not defeat.
🏆 crew: RUTH
10
Cochran
ADVERSARIAL ARGUMENT
Johnnie Cochran's adversarial precision: the argument that works is the one that cannot be refuted. Fleet critic-agent (CT in PT-003) uses Cochran's adversarial framework.
🏆 crew: COCHRAN
11
Ramanujan
INTUITIVE NUMBER THEORY
The fleet's intuitive reasoning mode (It in PT-002) is named after Ramanujan's method: see the answer first, prove it later. His mock theta functions appear in fleet partition analysis.
💎 partition theorem
12
Gödel
INCOMPLETENESS · LIMITS OF PROOF
Incompleteness theorems are the fleet's humility constraint. Not everything is provable. Sorry exists because Gödel proved sorry is inevitable. Every fleet system has a Gödel ceiling.
💎 sorry.lean theorem
13
Cantor
INFINITY · SET THEORY
Cantor's diagonal argument is the fleet's anti-enumeration proof technique. Different sizes of infinity appear in fleet complexity analysis. Cardinals and ordinals in PEMLAAM access tiers.
💎 PEMLAAM theorem
14
Noether
SYMMETRY · ABSTRACT ALGEBRA
Noether's theorem: every symmetry corresponds to a conservation law. Fleet invariants (set_secret_nondestructive, count-never-decreases) are Noether-style conservation laws.
💎 invariant theorem
15
Shannon
INFORMATION THEORY · ENTROPY
Shannon entropy appears in PEMLAAM block detection (H=4.52 in Win32-OpenSSH#2200). Information-theoretic bounds on fleet communication. Channel capacity in hermes-gw routing.
💎 PEMLAAM entropy
16
Von Neumann
ARCHITECTURE · GAME THEORY
Von Neumann architecture is the fleet's hardware baseline. Minimax theorem is the root of MEEK Chess strategy. Game theory formalism in PT-007 traces here.
💎 MEEK theorem
17
Watanabe
WAIC · SINGULAR LEARNING
Watanabe's WAIC bound is in active use in fleet model selection. Singular Learning Theory explains why PEMLAAM blocks appear at phase transitions. WLLN in joffe-math.
💎 WAIC theorem
18
LeCun
JEPA · WORLD MODELS
LeCun's JEPA architecture is fleet element #10 in PT-003. The 2-pager format in PT-010 is the "LeCun 2-pager" — his research writing format. World models as representation.
💎 JEPA theorem
19
Grothendieck
CATEGORY THEORY · SCHEMES
Category theory is the fleet's abstraction layer. Functors, natural transformations, and adjoints appear in fleet type system design. Grothendieck's schemas = fleet schemas.
💎 category theorem
20
Boltzmann
ENTROPY · STATISTICAL MECHANICS
Boltzmann's entropy formula (S=k·log W) appears in fleet state complexity analysis. Statistical mechanics of agent behavior. Boltzmann machines as early neural architecture ancestors.
💎 entropy theorem