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by: Paul Spencer

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# TOP VISUALIZATIONS MATH 191

Paul Spencer
Virginia Commonwealth University
GPA 3.98

Staff

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COURSE
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Staff
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PAGES
1
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KARMA
50 ?

## Popular in Applied Math

This 1 page Study Guide was uploaded by Paul Spencer on Wednesday October 28, 2015. The Study Guide belongs to MATH 191 at Virginia Commonwealth University taught by Staff in Fall. Since its upload, it has received 32 views. For similar materials see /class/230624/math-191-virginia-commonwealth-university in Applied Math at Virginia Commonwealth University.

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Date Created: 10/28/15
MATH 195 Godel Escher and Bach Spring 2001 Notes and Study Questions for Tuesday February 4 Reading Sonata for Unaccompanied Achilles Chapter III Figure and Ground We ll also discuss isomorphisms and meaning pp49 54 Music optional Bach s Sonata for Unaccompanied Violin in Additional Material We39ve been worrying about how to derive theorems from axioms Except in the case of MU itself we39ve not spent time worrying about how to prove that a string is NOT a theorem and proving it for MU was w But isn39t it always possible to say If I find a way to describe the set of all theorems then nontheorems are just everything else The set of nontheorems would seem to be the negative image of the set of theorems In particular the set of all prime numbers would seem to be the negative image of the set of nonprirnes Are these two sets the same sort of beast Chapter III says maybe not By the way you39re not going crazy Study Questions 1 through 6 below ARE the same as ones you saw last week Isomorphisms Induce Meaning Meaningless and Meaningful Interpretations 1 Is the pq system equivalent to addition Why or why not 2 Maps are examples of documents in which symbols are given meaning through an isomorphism Give examples of symbols used in maps and their interpretations Note that this quotlanguagequot isn t very complex it would be unusual to make a sentence out of symbols from a map but give it a try Think of other instances where symbols are given meaning via an isomorphism 3 How do we know which interpretation to apply What39s wrong with p 69 horse Active 3905 Passive Meanings and DoubleEntendre 4 Try out the alternative interpretation of the symbols of the pq System suggested at the bottom of p52 How can you be sure that all the old theorems are still true 5 What is the difference between meaning in a formal system and meaning in a human language 6 What is the difference between active and passive meaning Sonata for Unaccompanied Achilles OPTIONAL Write the Tortoise39s part for this conversation Send it to ElhaiRichmondEdu preferably well before Tuesday39s class 7 What was the tortoise doing that caused Achilles to twist his neck 8 What was the tortoise s ingenious but degenerate solution to the HE puzzle 9 What was the tortoise s second solution to the HE puzzle

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