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Isomorphism Quotes

Browse 5 quotes about Isomorphism.

Isomorphism Quotes

“{W}e can transfer the study of any formal system—in fact the study of”

Logic Mathematics Math Douglas Hofstadter Number Theory Formalism Isomorphism

Book:Godel, Escher, Bach: An Eternal Golden Braid

Source: Godel, Escher, Bach: An Eternal Golden Braid

“[W]e can transfer the study of any formal system—in fact the study of [all] formal systems—into number theory.”

Logic Mathematics Math Douglas Hofstadter Number Theory Formalism Isomorphism

Book:Godel, Escher, Bach: An Eternal Golden Braid

Source: Godel, Escher, Bach: An Eternal Golden Braid

“[M]eaning is an automatic by-product of our recognition of any isomorphism.”

Logic Mathematics Recognition Meaning Douglas Hofstadter Isomorphism

Book:Godel, Escher, Bach: An Eternal Golden Braid

Source: Godel, Escher, Bach: An Eternal Golden Braid

“An interpretation [of a formal system] will be meaningful to the extent that is accurately reflects some isomorphism to the real world.”

Logic Mathematics Meaning Real World Douglas Hofstadter Isomorphism

Book:Godel, Escher, Bach: An Eternal Golden Braid

Source: Godel, Escher, Bach: An Eternal Golden Braid

“An interpretation [of a formal system] will be meaningful to the extent that it accurately reflects some isomorphism to the real world.”

Logic Mathematics Meaning Interpretation Real World Douglas Hofstadter Isomorphism

Book:Godel, Escher, Bach: An Eternal Golden Braid

Source: Godel, Escher, Bach: An Eternal Golden Braid