logos/docs/builder_operations.md

MTL Builder Operations

Wittgenstein's Language Game Applied to LOGOS

Wittgenstein's "builder's language" (from Philosophical Investigations §2) consists of:

• Slab! (request object)
• Block! (request object)
• Beam! (request object)
• Column! (request object)

The builder calls, the assistant brings. This is pure action through naming.

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MTL Mapping

Builder Language	MTL Operation	Effect
"Slab!"	(hold 'slab [6])	Store value 6 under 'slab
"Block!"	(grab 'slab)	Retrieve stored value
"Beam those!"	(connect [A] [B])	Combine A × B
"That slab!"	(route [6] [42])	Move value to domain

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HOLD - The Register

(hold 'x [6])    ; Store 6 as 'x
(hold 'y [7])    ; Store 7 as 'y

HOLD creates a named register. The value persists in memory.

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GRAB - The Retrieval

(grab 'x)        ; Returns 6

GRAB retrieves from the register. In builder terms: "Give me that slab!"

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CASCADE Operations

Example 1: Store then Retrieve

(hold 'a [2])           ; a = 2
(hold 'b [3])           ; b = 3
(mult (grab 'a) (grab 'b))  ; 2 × 3 = 6

Example 2: Chain Connections

(hold 'image [17])
(hold 'text [19])
(hold 'relation (connect (grab 'image) (grab 'text)))
; relation = 17 × 19 = 323

Example 3: Builder Workflow

; "Hold the slab, hold the beam, connect them"
(hold 'slab [5])
(hold 'beam [7])
(hold 'structure (mult (grab 'slab) (grab 'beam)))
; structure = 35

; "Now persist the structure"
(mult (grab 'structure) [7])  ; 35 × 7 = 245 (with PERSIST flag)

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Domain Operations

HOLD/GRAB work within the active domain:

(domain [1700])              ; Enter VISUAL domain
(hold 'frame [17])           ; Store in VISUAL context
(domain [1900])              ; Switch to TEXT domain  
(hold 'word [19])            ; Store in TEXT context

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The Builder Axiom

Calling a value IS moving it.

In Wittgenstein's game, "Slab!" doesn't describe a slab—it commands one to appear.
In MTL, (grab 'x) doesn't describe x—it retrieves x to the current context.

The act of naming is the act of manifesting.

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Cascade Patterns

Pattern	Operations	Result
Store-Compute-Store	hold→op→hold	Accumulator
Gather-Combine	grab,grab→connect	Composition
Build-Persist	hold→mult [7]	Permanent record
Route-Chain	route→route	Pipeline