FutureShift
FutureShift is the inductive type with a single constructor for the recognition science paradigm shift. Lattice researchers cite it when forming the disjoint union of all shifts or verifying the six-element total. The declaration is a direct inductive introduction that derives decidable equality, representation, and finite type instances automatically.
claimLet $FutureShift$ be the inductive type containing the single element denoted $recognitionScience$, representing the reserved recognition science shift.
background
The module defines a lattice of paradigm shifts in which five completed historical shifts plus one future shift total six elements, matching the faces of the recognition cube $Q_3$ associated with three spatial dimensions. FutureShift supplies the type for the single reserved slot. The module states that five historical shifts plus the RS shift are congruent to the cube faces with cardinality six.
proof idea
The declaration is a direct inductive definition with one constructor recognitionScience, followed by automatic derivation of DecidableEq, Repr, BEq, and Fintype instances.
why it matters in Recognition Science
FutureShift supplies the future component required by AllParadigmShifts, futureCount (cardinality one), future_slot_realised (non-emptiness), and the ParadigmShiftLatticeCert structure that certifies the 5+1=6 identity with cubeFaces. It fills the structural claim in the paradigm shift lattice that aligns the total count with the six faces of $Q_3$, consistent with D=3 in the Recognition Science framework.
scope and limits
- Does not enumerate the five historical shifts.
- Does not prove occurrence of the recognition science shift.
- Does not specify physical content or predictions of the shift.
- Does not address relations among the historical shifts.
formal statement (Lean)
22inductive FutureShift where
23 | recognitionScience
24 deriving DecidableEq, Repr, BEq, Fintype
25