22
Today Reminder: sections start today - sign up on Coursework! Remarks about the readings and quizzes Finishing up Mind, Body, and World Logic and Machines Tips on Gödel’s Proof

Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

  • Upload
    others

  • View
    3

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Today• Reminder: sections start today - sign up on

Coursework!

• Remarks about the readings and quizzes

• Finishing up Mind, Body, and World

• Logic and Machines

• Tips on Gödel’s Proof

Page 2: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Quiz 1Pick up outside 460-040 (keep folders neat)

Answer key posted on course websitehttp://www.stanford.edu/class/symbsys100

Average score: 11.1Distribution:score: 0 4 8 12 16 20% of class: 4% 5% 26% 40% 21% 4%

Page 3: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Remarks on the quizzes

Don’t panic - let yourself learn

A bit of psychology: Dweck’s entity verusincremental theorists - be the latter

How I grade

Quizzing at the right level

Page 4: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

How to studyDo the reading well once (highlighting, margin

writing or light notetaking) - 4 or 5 hours perclass session

Go to class and take notesTake quiz - compare answers to key and sourcesGo to section - ask questionsReview notes and highlights before midterm and

finalPose questions on and follow the discussion listGo to office hours if you need more help

Page 5: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Materialism III: Eliminativism

Page 6: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

mental states don’t exist

Page 7: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

analogies

Page 8: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

witches

phlogiston

elan vital

spirit diseases

Page 9: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Failures of folk psychology

introspectionism

experiments

split brains

Page 10: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Differ from reductionism?

gamma synchrony

DLPFC (Dorsolateral Prefrontal Cortex)

Page 11: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Mind and world (rough outline)Monism - opposite of dualism• Idealism

dreams, other minds - experience is all there is• Materialism

matter is all there isRealism

“God is no deceiver” - the world we see is realTranscendental Idealism

Kant’s view - a synthesis

Page 12: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Logic and Machines:A Brief History

Page 13: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

“Pythagoras” (6th Century BCE)

Page 14: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Socrates and Plato(5th/4th Centuries BCE)

Page 15: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Aristotle (4th Century BCE)

SyllogismsAll X are Y

All Y are Z

Therefore All X are Z

Some Y are X

All Y are Z

Therefore Some X are Z

No X are Y

All Y are Z

Therefore, No X are Z?

Therefore Some Z are not X?

Page 16: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Euclid’s Elements(3rd Centuries BCE)

Page 17: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Leibniz (1646-1716)

Page 18: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Boole (1815-1864)

Propositional Logic

Page 19: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Frege (1848-1925)

Predicate Logic/FirstOrder Logic

Page 20: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Bertrand Russell (1872-1970)

Russell paradox

Showed Frege’sproject was flawed

Principia Mathematica(with Whitehead)

Attempt to constructmathematics in logic

Page 21: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Kurt Gödel (1906-1978)

Showed that no systemsuch as that ofPrincipia Mathematicacould be sufficient forproving all ofmathematics

Page 22: Today - Stanford Universitydavies/Symbsys100-Spring0708/... · 2008. 4. 8. · Today •Reminder: sections start today - sign up on Coursework! •Remarks about the readings and quizzes

Alan Turing (1912-1954)

Showed that auniversal device couldbe constructed forperforming anycomputation*

Showed that noalgorithm could solvethe decision problemfor first order logic