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
    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    
  • [IGT] Chapter 1
    [IGT] Chapter 1 [IGT] Chapter 1
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  • Chapter 1: Godel's Incompleteness Theorems by R. Smullyan
    Chapter 1: Godel's Incompleteness Theorems by R. Smullyan Chapter 1: Godel's Incompleteness Theorems by R. Smullyan
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  • Historical and Philosophical Background
    Historical and Philosophical Background Historical and Philosophical Background
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  • Kurt Godel, Stanford Encyclopedia of Philosophy
    Kurt Godel, Stanford Encyclopedia of Philosophy Kurt Godel, Stanford Encyclopedia of Philosophy
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  • Hilbert's Program, Stanford Encyclopedia of Philosophy
    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
    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    
  • [IGT] Chapter 2-4
    [IGT] Chapter 2-4 [IGT] Chapter 2-4
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  • Logical Notation
    Logical Notation Logical Notation
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  • [CL] Chapter 6: Recursive Functions
    [CL] Chapter 6: Recursive Functions [CL] Chapter 6: Recursive Functions
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  • [CL] Chapters 9 & 10: First Order Logic
    [CL] Chapters 9 & 10: First Order Logic [CL] Chapters 9 & 10: First Order Logic
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  • Problem Set 1
    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    
  • [IGT] Chapter 15
    [IGT] Chapter 15 [IGT] Chapter 15
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  • [CL] Section 16.1: Defining Recursive Functions
    [CL] Section 16.1: Defining Recursive Functions [CL] Section 16.1: Defining Recursive Functions
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  • Problem Set 2
    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    
  • [IGT] Chapters 9 - 13
    [IGT] Chapters 9 - 13 [IGT] Chapters 9 - 13
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Capturing (Representing) Numerical Properties (2/24, 2/26)

Capturing (Representing) Numerical Properties (2/24, 2/26)
Module Completed Module In Progress Module Locked
Capturing (Representing) Numerical Properties (2/24, 2/26) 979972    
  • [IGT] Chapters 5, 16, 17
    [IGT] Chapters 5, 16, 17 [IGT] Chapters 5, 16, 17
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  • [CL] Section 16.2: Q is p.r.-adequate
    [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)
Module Completed Module In Progress Module Locked
Arithmetization of Syntax/Godel Numbering (3/3, 3/5, 3/10) 979974    
  • [IGT] Chapters 19 & 20
    [IGT] Chapters 19 & 20 [IGT] Chapters 19 & 20
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  • [CL] Chapter 15: Arithematization
    [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    
  • [IGT] Chapters 21 - 24
    [IGT] Chapters 21 - 24 [IGT] Chapters 21 - 24
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  • Godel's Incompleteness Theorem, Section 2 (SEP)
    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

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    
  • [IGT] Chapters 21 - 24, 25, 27
    [IGT] Chapters 21 - 24, 25, 27 [IGT] Chapters 21 - 24, 25, 27
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  • Godel's Incompleteness Theorem, Section 2 (SEP)
    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
    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    
  • [IGT] Chapters 31, 32
    [IGT] Chapters 31, 32 [IGT] Chapters 31, 32
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  • Godel's Incompleteness Theorem, Section 3 (SEP)
    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)
    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    
  • [IGT] Chapters 23, 37
    [IGT] Chapters 23, 37 [IGT] Chapters 23, 37
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  • Godel's Incompleteness Theorem, Section 6 (SEP)
    Godel's Incompleteness Theorem, Section 6 (SEP) Godel's Incompleteness Theorem, Section 6 (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

Lob's Theorem and Provability Logic (4/16, 4/21, 4/23)

Lob's Theorem and Provability Logic (4/16, 4/21, 4/23)
Module Completed Module In Progress Module Locked
Lob's Theorem and Provability Logic (4/16, 4/21, 4/23) 979982    
  • [IGT] Chapters 33 & 34
    [IGT] Chapters 33 & 34 [IGT] Chapters 33 & 34
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  • [CL] Chapter 27: Provability Logic
    [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
    Presentation Notes Presentation Notes
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  • Possible Topics
    Possible Topics Possible Topics
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  • Computability and Incompleteness: [IGT] Chapters 40 - 43
    Computability and Incompleteness: [IGT] Chapters 40 - 43 Computability and Incompleteness: [IGT] Chapters 40 - 43
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  • Speed-Up Theorems: [IGT] Chapter 28
    Speed-Up Theorems: [IGT] Chapter 28 Speed-Up Theorems: [IGT] Chapter 28
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  • Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem
    Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem Kirzman and Raz: Surprise Exam & The Second Incompleteness Theorem
    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
  • Martin Davis: What did Godel Believe?
    Martin Davis: What did Godel Believe? Martin Davis: What did Godel Believe?
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  • S. Shapiro: Incompleteness, Mechanism and Optimism
    S. Shapiro: Incompleteness, Mechanism and Optimism S. Shapiro: Incompleteness, Mechanism and Optimism
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  • P. Koellner: Absolute Undecidability
    P. Koellner: Absolute Undecidability P. Koellner: Absolute Undecidability
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minimum score must view must submit must contribute
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