PHIL470-0101/PHIL688E-0101: Logical Theory-Spring 2015 epacuit

PHIL470-0101/PHIL688E-0101: Logical Theory-Spring 2015 epacuit

Course Modules

Course Overview

Course Overview
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Course Overview 980077    
  • Syllabus Attachment
    Syllabus Syllabus
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Introduction to Incompleteness (1/27)

Introduction to Incompleteness (1/27)
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Introduction to Incompleteness (1/27) 979900    
  • Context Module Sub Header
    [IGT] Chapter 1
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  • Chapter 1: Godel's Incompleteness Theorems by R. Smullyan Attachment
    Chapter 1: Godel's Incompleteness Theorems by R. Smullyan Chapter 1: Godel's Incompleteness Theorems by R. Smullyan
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  • Context Module Sub Header
    Historical and Philosophical Background
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  • Kurt Godel, Stanford Encyclopedia of Philosophy External Url
    Kurt Godel, Stanford Encyclopedia of Philosophy Kurt Godel, Stanford Encyclopedia of Philosophy
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  • Hilbert's Program, Stanford Encyclopedia of Philosophy External Url
    Hilbert's Program, Stanford Encyclopedia of Philosophy Hilbert's Program, Stanford Encyclopedia of Philosophy
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  • Chapter 1: Godel's Life and Work, in In the Light of Logic by S. Feferman Attachment
    Chapter 1: Godel's Life and Work, in In the Light of Logic by S. Feferman Chapter 1: Godel's Life and Work, in In the Light of Logic by S. Feferman
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Basic Concepts (1/29, 2/3, 2/5)

Basic Concepts (1/29, 2/3, 2/5)
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Basic Concepts (1/29, 2/3, 2/5) 979905    
  • Context Module Sub Header
    [IGT] Chapter 2-4
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  • Logical Notation Attachment
    Logical Notation Logical Notation
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  • [CL] Chapter 6: Recursive Functions Attachment
    [CL] Chapter 6: Recursive Functions [CL] Chapter 6: Recursive Functions
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  • [CL] Chapters 9 & 10: First Order Logic Attachment
    [CL] Chapters 9 & 10: First Order Logic [CL] Chapters 9 & 10: First Order Logic
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  • Problem Set 1 Assignment
    Problem Set 1 Problem Set 1
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Arithmetic Definability of Recursive Functions (2/10, 2/12)

Arithmetic Definability of Recursive Functions (2/10, 2/12)
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Arithmetic Definability of Recursive Functions (2/10, 2/12) 979907    
  • Context Module Sub Header
    [IGT] Chapter 15
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  • [CL] Section 16.1: Defining Recursive Functions Attachment
    [CL] Section 16.1: Defining Recursive Functions [CL] Section 16.1: Defining Recursive Functions
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  • Problem Set 2 Assignment
    Problem Set 2 Problem Set 2
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Formal Arithmetic (2/17, 2/19)

Formal Arithmetic (2/17, 2/19)
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Formal Arithmetic (2/17, 2/19) 979908    
  • Context Module Sub Header
    [IGT] Chapters 9 - 13
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Capturing (Representing) Numerical Properties (2/24, 2/26)

Capturing (Representing) Numerical Properties (2/24, 2/26)
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Capturing (Representing) Numerical Properties (2/24, 2/26) 979972    
  • Context Module Sub Header
    [IGT] Chapters 5, 16, 17
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  • [CL] Section 16.2: Q is p.r.-adequate Attachment
    [CL] Section 16.2: Q is p.r.-adequate [CL] Section 16.2: Q is p.r.-adequate
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Arithmetization of Syntax/Godel Numbering (3/3, 3/5, 3/10)

Arithmetization of Syntax/Godel Numbering (3/3, 3/5, 3/10)
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Arithmetization of Syntax/Godel Numbering (3/3, 3/5, 3/10) 979974    
  • Context Module Sub Header
    [IGT] Chapters 19 & 20
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  • [CL] Chapter 15: Arithematization Attachment
    [CL] Chapter 15: Arithematization [CL] Chapter 15: Arithematization
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First Incompleteness Theorem/Diagonal Lemma (3/12)

First Incompleteness Theorem/Diagonal Lemma (3/12)
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First Incompleteness Theorem/Diagonal Lemma (3/12) 979975    
  • Context Module Sub Header
    [IGT] Chapters 21 - 24
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  • Godel's Incompleteness Theorem, Section 2 (SEP) External Url
    Godel's Incompleteness Theorem, Section 2 (SEP) Godel's Incompleteness Theorem, Section 2 (SEP)
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Spring Break --- NO CLASS (3/17, 3/19)

Spring Break --- NO CLASS (3/17, 3/19)
Module Completed Module In Progress Module Locked
Spring Break --- NO CLASS (3/17, 3/19) 979976    

Recap, Rosser's Theorem, Tarski's Theorem (3/24, 3/26)

Recap, Rosser's Theorem, Tarski's Theorem (3/24, 3/26)
Module Completed Module In Progress Module Locked
Recap, Rosser's Theorem, Tarski's Theorem (3/24, 3/26) 979977    
  • Context Module Sub Header
    [IGT] Chapters 21 - 24, 25, 27
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  • Godel's Incompleteness Theorem, Section 2 (SEP) External Url
    Godel's Incompleteness Theorem, Section 2 (SEP) Godel's Incompleteness Theorem, Section 2 (SEP)
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • Presentation topic Assignment
    Presentation topic Presentation topic
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

The Second Incompleteness Theorem (3/31, 4/2)

The Second Incompleteness Theorem (3/31, 4/2)
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The Second Incompleteness Theorem (3/31, 4/2) 979978    
  • Context Module Sub Header
    [IGT] Chapters 31, 32
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  • Godel's Incompleteness Theorem, Section 3 (SEP) External Url
    Godel's Incompleteness Theorem, Section 3 (SEP) Godel's Incompleteness Theorem, Section 3 (SEP)
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Overspill Day (4/7)

Overspill Day (4/7)
Module Completed Module In Progress Module Locked
Overspill Day (4/7) 979979    
  • Godel's Incompleteness Theorem (SEP) External Url
    Godel's Incompleteness Theorem (SEP) Godel's Incompleteness Theorem (SEP)
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Implications --- Truth vs. Provability (4/9, 4/14)

Implications --- Truth vs. Provability (4/9, 4/14)
Module Completed Module In Progress Module Locked
Implications --- Truth vs. Provability (4/9, 4/14) 979981    
  • Context Module Sub Header
    [IGT] Chapters 23, 37
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  • Godel's Incompleteness Theorem, Section 6 (SEP) External Url
    Godel's Incompleteness Theorem, Section 6 (SEP) Godel's Incompleteness Theorem, Section 6 (SEP)
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Lob's Theorem and Provability Logic (4/16, 4/21, 4/23)

Lob's Theorem and Provability Logic (4/16, 4/21, 4/23)
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Lob's Theorem and Provability Logic (4/16, 4/21, 4/23) 979982    
  • Context Module Sub Header
    [IGT] Chapters 33 & 34
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  • [CL] Chapter 27: Provability Logic Attachment
    [CL] Chapter 27: Provability Logic [CL] Chapter 27: Provability Logic
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Additional Topics (4/28, 4/30)

Additional Topics (4/28, 4/30)
Module Completed Module In Progress Module Locked
Additional Topics (4/28, 4/30) 979984    

Presentations (5/5, 5/7, 5/12)

Presentations (5/5, 5/7, 5/12)
Module Completed Module In Progress Module Locked
Presentations (5/5, 5/7, 5/12) 979985    
  • Presentation Notes Assignment
    Presentation Notes Presentation Notes
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  • Context Module Sub Header
    Possible Topics
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  • Context Module Sub Header
    Computability and Incompleteness: [IGT] Chapters 40 - 43
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  • Context Module Sub Header
    Speed-Up Theorems: [IGT] Chapter 28
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  • Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem Attachment
    Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem
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  • Martin Davis: What did Godel Believe? Attachment
    Martin Davis: What did Godel Believe? Martin Davis: What did Godel Believe?
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  • S. Shapiro: Incompleteness, Mechanism and Optimism Attachment
    S. Shapiro: Incompleteness, Mechanism and Optimism S. Shapiro: Incompleteness, Mechanism and Optimism
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • P. Koellner: Absolute Undecidability Attachment
    P. Koellner: Absolute Undecidability P. Koellner: Absolute Undecidability
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minimum score must view must submit must contribute
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