CHAPTER 8 - Embarking on a Strange-Loop Safari
Flap Loop, Lap Loop
Seeking Strange Loopiness in Escher
Seeking Strange Loops in Feedback
Seeking Strange Loops in the Russellian Gloom
Mr Berry of the Bodleian
I Can’t Tell You How Indescribably Nondescript It Was!
Blurriness Buries Berry
A Peanut-butter and Barberry Sandwich
An Autobiographical Snippet
Idealistic Dreams about Metamathematics
Post Scriptum
CHAPTER 9 - Pattern and Provability
Principia Mathematica and its Theorems
Mixing Two Unlikely Ideas: Primes and Squares
Pattern-hunting
People who Pursue Patterns with Perseverance
Where There’s Pattern, There’s Reason
Sailing the Ocean of Primes and Falling off the Edge
The Mathematician’s Credo
No Such Thing as an Infinite Coincidence
The Long Search for Proofs, and for their Nature
CHAPTER 10 - Godel’s Quintessential Strange Loop
Godel Encounters Fibonacci
The Caspian Gemstones: An Allegory
A Tiny Spark in Godel’s Brain
Clever Rules Imbue Inert Symbols with Meaning
Mechanizing the Mathematician’s Credo
Miraculous Lockstep Synchrony
Flipping between Formulas and Very Big Integers
Very Big Integers Moving in Lock-step with Formulas
Glimmerings of How PM Can Twist Around and See Itself
Prim Numbers
The Uncanny Power of Prim Numbers
Godelian Strangeness
How to Stick a Formula’s Godel Number inside the Formula
Godel’s Elephant-in-Matchbox Trick via Quine’s Analogy
The Trickiest Step
An Elephant in a Matchbox is Neither Fish Nor Fowl
Sluggo and the Morton Salt Girl
CHAPTER 11 - How Analogy Makes Meaning
The Double Aboutness of Formulas in PM
Extra Meanings Come for Free, Thanks to You, Analogy!
Exploiting the Analogies in Everyday Situations
The Latent Ambiguity of the Village Baker’s Remarks
Chantal and the Piggybacked Levels of Meaning
Pickets at the Posh Shop
Prince Hyppia: Math Dramatica
Analogy, Once Again, Does its Cagey Thing
How Can an “Unpennable” Line be Penned?
“Not” is Not the Source of Strangeness
Numbers as a Representational Medium
CHAPTER 12 - On Downward Causality
Bertrand Russell’s Worst Nightmare
A Strange Land where “Because” Coincides with “Although”
Incompleteness Derives from Strength
Bertrand Russell’s Second-worst Nightmare
An Endless Succession of Monsters
Consistency Condemns a Towering Peak to Unscalability
Downward Causality in Mathematics
Goru and the Futile Quest for a Truth Machine
The Upside-down Perceptions of Evolved Creatures
Stuck, for Better or Worse, with “I”
Proceeding Slowly Towards the Bottom Level
Of Hogs, Dogs, and Bogs
CHAPTER 13 - The Elusive Apple of My “I”
The Patterns that Constitute Experience
Reflected Communist Bachelors with Spin 1/2 are All Wet
Am I a Strange Marble?
A Pearl Necklace I Am Not
I Am My Brain’s Most Complex Symbol
Internalizing Our Weres, Our Wills, and Our Woulds
I Cannot Live without My Self
The Slow Buildup of a Self
Making Tosses, Internalizing Bounces
Smiling Like Hopalong Cassidy
The Lies in our I’s
The Locking-in of the “I” Loop
I Am Not a Video Feedback Loop
I Am Ineradicably Entrenched…
…But Am I Real?
The Size of the Strange Loop that Constitutes a Self
The Supposed Selves of Robot Vehicles
A Counterfactual Stanley
CHAPTER 14 - Strangeness in the “I” of the Beholder
The Inert Sponges inside our Heads
Squirting Chemicals
The Stately Dance of the Symbols
In which the Alfbert Visits Austranius
Brief Debriefing
Soaps in Sanskrit
Winding Up the Debriefing
