IndisputableMonolith.Mathematics.LogicSystemsFromConfigDim
This module defines the LogicSystem type along with its counting function and certification objects, all constructed from configuration dimension inside the Recognition Science framework. Researchers modeling how discrete logic arises from dimensional parameters in RS would cite these objects. The module consists entirely of definitions with no theorems or proofs.
claimA logic system is a structure $LogicSystem$ indexed by configuration dimension, with $logicSystem_count$ returning the cardinality of admissible systems and $LogicSystemsCert$ providing the certification predicate.
background
The module imports the RS time quantum from Constants, where the fundamental tick satisfies $τ_0 = 1$. It introduces LogicSystem as the central object together with its count and certificate siblings, all placed in the Mathematics domain. These definitions sit downstream of the RS constants and supply the logic layer that later stages of the framework can reference.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The definitions supply the LogicSystem objects that higher Recognition Science theorems on logic emergence and forcing-chain steps T5–T8 can invoke. They close the gap between configuration dimension and discrete logic structures without introducing new hypotheses.
scope and limits
- Does not derive any specific numerical count for logic systems.
- Does not prove existence or uniqueness of LogicSystem instances.
- Does not connect the definitions to physical observables or mass formulas.