Symbol Reference: ‹ ... › — Explicit Syntactic Quotation Brackets (Syntax Coding: A.Expression → Class)

In the Morse-Kelley + Tarski + Dunaev (MKTD1 / MKTD2) foundational framework, ‹𝛂› denotes explicit syntactic quotation (Corner / Guillemet Quotation). Rather than confusing a formula 𝛂 : Fm (or expression e : A.Expression) with its semantic denotation or its code inside the universe of classes, quotation explicitly maps finite syntax into the valid-code carrier Code_A ⊆ V:

• Acts on Existing Syntax (Not Arbitrary Semantic Reification): Quotation consumes an already represented finite syntactic expression e : A.Expression and produces its set code Enc_A(e) : Class. By the cardinal/diagonal obstruction in 130_classes_as_types.tex, countable finite syntax cannot name every semantic class (e.g. every function N → {0,1}), nor is semantic valuation injective on syntax (Enc(‹0+0›) ≠ Enc(‹0›) despite equal denotation).
• Compositional Quasi-Quotation: Inside a quoted expression ‹ ... ›, logical connectives and binders are quoted as AST constructors unless spliced at the syntactic level via angle-bracket antiquotation ⟨ ... ⟩.
• Role in Reflection & Incompleteness: Used throughout Section AxmSoundnessOfBaseTheory (3.72)–ThmDunaevSecondProjection (3.78), Section 4 (Metalogical Laws), and Section 5 (Löb's Theorem ThmLoeb (5.01) and Gödel's Second Incompleteness Theorem ThmSecondIncompleteness (5.02)) to state provability 𝒯 ⊢ ‹𝛂› cleanly.

• Inference Rule DefMetaConecessitation (4.03): CoNecessitation(meta,WIP)
• Theorem ThmLoeb (5.01): Löb's theorem(WIP)
• Theorem ThmSecondIncompleteness (5.02): Gödel's second incompleteness theorem(WIP)
• Explicit Antiquotation ⟨ ... ⟩
• Syntactic Encoding Enc