Gödel, Escher, Bach

Hofstadter, D. R. (1979). Gödel, Escher, Bach: An Eternal Golden Braid. Basic Books.

Type

Book

Intellectual base

Review or monograph

Year

1979

Link

https://archive.org/details/gdelescherbach00hofs

Cited from

cognitive_science, computer_science, linguistics_semiotics, systems_cybernetics

Cited by

6 citations across 6 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Conceptual Blending
  • Structural tension:

    This sourceExplores self-reference, recursion, and cross-domain analogy/blending across mathematics, art, and music. SUPPORTS markers 184 (T5: some blends generate genuinely novel insight) and 190 (its own bibliography self-citation) at the level of blending-as-insight; note GEB predates formal blending theory and is an illustrative rather than technical source. Link is the archive.org copy.

• Meta-Symbolic Reflection
  • Hofstadter's foundational work

    This sourceCanonical treatment of conceptual blending in art, mathematics, and music; explores how self-reference, recursion, and blending of domains create emergent meaning in Bach's fugues, Escher's tessellations, and Gödel's incompleteness theorem; emphasizes blending as central to human insight. [^hofstadter-1979]

• Recursion
  • The strange-loop and self-reference as canonical instance

    This sourceCanonical treatment of conceptual blending in art, mathematics, and music; explores how self-reference, recursion, and blending of domains create emergent meaning in Bach's fugues, Escher's tessellations, and Gödel's incompleteness theorem; emphasizes blending as central to human insight. [^hofstadter-1979]

• Reflexivity (Self-Reference)
  • Douglas Hofstadter's Gödel, Escher, Bach (1979)

    This sourceCanonical treatment of conceptual blending in art, mathematics, and music; explores how self-reference, recursion, and blending of domains create emergent meaning in Bach's fugues, Escher's tessellations, and Gödel's incompleteness theorem; emphasizes blending as central to human insight. [^hofstadter-1979]

• Symbolic Representation
  • A bioinformatician familiar with the genetic code can recognize the same six-role structure in a programming language's instruction set, a transfer Hofstadter (1979) makes explicit in his demonstration that arbitrary symbolic mappings — Gödel numbering, DNA-protein translation, formal-system encoding — share a common structural logic.

    This sourceCanonical treatment of conceptual blending in art, mathematics, and music; explores how self-reference, recursion, and blending of domains create emergent meaning in Bach's fugues, Escher's tessellations, and Gödel's incompleteness theorem; emphasizes blending as central to human insight. [^hofstadter-1979]

Domain-specific

• Gödel numbering
  • … directly demonstrates that the formal language, object grammar, coding function, uniqueness or decodability, effectiveness, sequence convention, and representability claims are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

Verification

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