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Metamagical Themas: Questing for the Essence of Mind and Pattern

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I: Snags and Snarls

1. On Self-Referential Sentences

  • Many systems have the capability to represent or refer to themselves somehow, to designate themselves (or elements of themselves) within the system of their own symbolism. Whenever this happens, it is an instance of self-reference.
  • Self-reference is often associated with paradox, but this is not necessarily the case.
  • The classic paradox is 'Epimenides the Cretan said "All Cretans are liars."'
  • It seems that all paradoxes involve, in one way or another, self-reference, whether it is achieved directly or indirectly.
  • The philosophical problem of the connections among Platonic ideas, mental activity, physiological brain activity, and the external symbols that trigger them is vividly raised by these disturbing sentences:
    • I am the meaning of this sentence.
    • I am the thought you are now thinking.
    • I am thinking about myself right now.
    • I am the set of neural firings taking place in your brain as you read the set of letters in this sentence and think about me.
    • This inert sentence is my body, but my soul is alive, dancing in the sparks of your brain.
  • Content is just fancy form. Content is just a shorthand way of saying "form perceived by a very fancy apparatus capable of making complex and subtle distinctions and abstractions and connections to prior concepts.
  • When self-reference (or reference in general, for that matter) is indirect, mediated by form, then fluidity is required. The understanding of such sentences involves a mixture of deriving the content and yet retaining the form in mind, letting qualities of the form in mind, letting qualities of the form conjure up flavors and enhance the meaning with a halo of not-quite-conscious pseudo-meanings, connotations, flavors, that flicker in the mind, not quite out of reach.

2. Self-Referential Sentences: A Follow-Up

3. On Viral Sentences and Self-Replicating Structures

4. Nomic: A Self-Modifying Game Based on Reflexivity in Law

II: Sense and Society

5. World Views in Collision: The Skeptical Inquirer vs The National Enquirer

6. On Number Numbness

7. Changes in Default Words and Images, Engendered by Rising Consciousness

8. A Person Paper on Purity in Language

III: Sparking and Slipping

9. Pattern, Poetry, and Power in the Music of Frédéric Chopin

10. Parquet Deformations: A Subtle, Intricate Art Form

11. Stuff and Nonsense

12. Variations on a Theme as the Crux of Creativity

13. Metafont, Metamathematics, and Metaphysics

IV: Structure and Strangeness

14. Magic Cubology

15. On Crossing the Rubicon

16. Mathematical Chaos and Strange Attractors

17. Lisp: Atoms and Lists

18. Lisp: Lists and Recursion

19. Lisp: Recursion and Generality

20. Heisenberg's Uncertainty Principal and the Many-Worlds Interpretation of Quantum Mechanics

V: Spirit and Substrate

21. Review of Alan Turing: The Enigma

22. A Coffeehouse Conversation on The Turing Test

23. On the Seeming Paradox of Mechanizing Creativity

24. Analogies and Roles in Human and Machine Thinking

25. Who Shoves Whom Around Inside the Careenium?

26. Waking Up from the Boolean Dream, or, Subcognition as Computation

VI: Selection and Stability

27. The Genetic Code: Arbitrary?

28. Undercut, Flaunt, Pounce, and Mediocrity: Psychological Games with Numbers

29. The Prisoner's Dilemma Computer Tournaments and the Evolution of Cooperation

VII: Sanity and Survival

30. Dilemmas for Superrational Thinkers, Leading Up to a Luring Lottery

31. Irrationality is the Square Root of All Evil

32. The Tale of Happiton

33. The Tumult of Inner Voices, or, What is the Meaning of the Word "I"?

Epilogue