Godel, Escher, Bach

Douglas Richard Hofstadter

Godel, Escher, Bach

19min

19min

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What do Bach's music, Gödel's incompleteness theorem, and Escher's art all have in common? A lot more than we might think, according to Douglas Hofstadter. He aims to discover whether computers will ever be a match for human intelligence, by researching the rules that govern formal systems, including the system that determines our human mental activity. In Gödel, Escher, Bach: An Eternal Golden Braid, Hofstadter explains that if this system were able to reveal our consciousness, in other words, how our mind sees itself, then one day, machines might actually be able to resemble human beings.

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Analysis and key concepts

01.

Reflecting on the origins of the self and consciousness can help us understand the possibilities and outlook for artificial intelligence

02.

Interdisciplinarity is a method we can use to analyse human thought and artificial intelligence

03.

Gödel, Escher, Bach: a paradox in mathematics, art, and music

04.

The Epimenides paradox and Gödel's incompleteness theorem

05.

Systems capable of self-referencing are called 'formal' systems

06.

The 'strange loops’ and the concept of infinity in Gödel, Escher, and Bach

07.

Stepping in and out of the system: the main difference between humans and machines

08.

Recursion and Hofstadter's Law

09.

Levels of description and computer systems: from small to large and vice versa

10.

Designing a 'thinking' computer has developed our knowledge of the human brain

11.

Consciousness is the mind's ability to reason about itself

12.

Quotes

13.

Take-home message

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Many useful tips to:

  • Understand formal systems and paradoxes.
  • Discover several concepts of logic and mathematics.
  • Learn about the author’s views on artificial intelligence.

Son of Robert Hofstadter, 1963 Nobel Laureate in Physics, Douglas Richard Hofstadter has a degree in mathematics and a PhD in physics. He is a scholar of physics, cognitive science, and comparative literature, and is a passionate linguist: he has also published several translations, such as Alexander Pushkin's Eugene Onegin. His book, Gödel, Escher, Bach: An Eternal Golden Braid, was first published in 1979, and won the Pulitzer Prize for non-fiction in 1980.

Publishing house:

Basic Books

Year:

1999

Pages:

824

ISBN:

978-0465026562