Welcome to

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Welcome to
Math 105Gödel, Escher, and Bach
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Question 1
What is the name of this song?
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Question 2
NOW whats the name of this song?
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(Question 2)
Musical shape can be stretched yet still retain
its identity
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(Question 2)
Oh - say can you see
By the dawns ear- ly light
What so proud- ly we hailed
At the twi- lights last glea-
ming
Musical objects often contain internal
symmetries
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Question 3
How many times does IT appear?
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(Question 3)
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Musical shape can be flipped yet still retain its
identity
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J S Bach
Bach visits the court of Frederick the Great of
Prussia

• Improvises fugues on Kings complex theme

• Later composes canons on theme

WEIRD canons.
Crab canon
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J S Bach
Endlessly rising canon
Strange loop
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Gödel, Escher, and BachThe course
Lecture and careful note taking

• DOING PROBLEMS

• DISCUSSING PROBLEMS

• DOING MORE PROBLEMS

If you cant do it, you dont know it
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Gödel, Escher, and BachThe course web page

• How to get there courses.richmond.edu
  (bookmark it!)

• How to log in your net id (e.g.
  KGodel_at_Richmond.Edu) your password (must
  have at least 2 digits!)

• What to do when youre there

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Problems vs Questions vs???

• Quiz questions (daily) - Rather mindless
  - A carrot - Feedback about Study
  Questions

• Study questions (daily) - Active reading
  - Directly related to text

• Problem set questions (weekly) -
  Integrative - Many answers possible -
  Approach more important than answer

• Exam questions (quarterly) - Derived from
  Problem Sets

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HELP!!!

• Consider problems in groups in class

• Consider problems in groups outside of class

• Consider problems in review sessions

• Consider problems when you need it

Jeff Elhai Mike KerckhoveS-202 Gottwald 209
Jepsen289-8412 289-8774RF 330-500 MW
1030-1130 R 230-400
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M.C. Escher
Ascending and Descending
Strange loop
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Kurt Gödel
Incompleteness Theorem
Strange loop