24.244 Modal Logic

24.244 Modal Logic

Course Modules

Welcome: Week 0

Welcome: Week 0
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Welcome: Week 0 23045  
  • Page
    Course Overview & Syllabus Course Overview & Syllabus
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Sept. 1-3. Modal logic overview. Sentential calculus review.

Sept. 1-3. Modal logic overview. Sentential calculus review.
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Sept. 1-3. Modal logic overview. Sentential calculus review. 23046  
  • Attachment
    modal logic extended intro.pdf modal logic extended intro.pdf
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  • Attachment
    Quine, Reply to Prof. Marcus.pdf Quine, Reply to Prof. Marcus.pdf
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  • Attachment
    SC review. Improved!.pdf SC review. Improved!.pdf
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Sept. 8-10. S5

Sept. 8-10. S5
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Sept. 8-10. S5 36584  
  • Attachment
    Logical Necessity and S5 newer yet.pdf Logical Necessity and S5 newer yet.pdf
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  • Attachment
    Necessity as Truth in All Possible Worlds Newer.pdf Necessity as Truth in All Possible Worlds Newer.pdf
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  • Attachment
    24.244 F20 PS1 New date.pdf 24.244 F20 PS1 New date.pdf
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  • Attachment
    24.244 F20 PS1 answers.pdf 24.244 F20 PS1 answers.pdf
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Sept. 15-17. Normal modal systems.

Sept. 15-17. Normal modal systems.
Module Completed Module In Progress Module Locked
Sept. 15-17. Normal modal systems. 36585  
  • Attachment
    Garden of Forking Paths.pdf Garden of Forking Paths.pdf
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  • Attachment
    24.244 F20 PS2 New date.pdf 24.244 F20 PS2 New date.pdf
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  • Attachment
    24.244 F20 PS2 Answers.pdf 24.244 F20 PS2 Answers.pdf
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  • Attachment
    kripke_1.pdf kripke_1.pdf
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  • Attachment
    Normal modal systems new.pdf Normal modal systems new.pdf
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Sept. 22-24. Normal modal systems: decision procedures.

Sept. 22-24. Normal modal systems: decision procedures.
Module Completed Module In Progress Module Locked
Sept. 22-24. Normal modal systems: decision procedures. 36586  
  • Attachment
    Decision Procedures.pdf Decision Procedures.pdf
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  • Attachment
    Uninterpreted Frames and Binary RelationsAn uninterpreted frame i.pdf Uninterpreted Frames and Binary RelationsAn uninterpreted frame i.pdf
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  • Attachment
    24.244F20 PS3.pdf 24.244F20 PS3.pdf
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  • Attachment
    24.244F20 PS3 answers.pdf 24.244F20 PS3 answers.pdf
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Sept. 29-Oct. 1 Intuitionistic logic

Sept. 29-Oct. 1 Intuitionistic logic
Module Completed Module In Progress Module Locked
Sept. 29-Oct. 1 Intuitionistic logic 36587  
  • Attachment
    Brouwer_Excluded_Middle.pdf Brouwer_Excluded_Middle.pdf
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  • Attachment
    Heyting_On_Intuitionistic_Logic.pdf Heyting_On_Intuitionistic_Logic.pdf
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  • Attachment
    Kripke_Intuitionistic_Logic.pdf Kripke_Intuitionistic_Logic.pdf
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  • Attachment
    Dummett73.pdf Dummett73.pdf
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  • Attachment
    Intuitionistic sentential calculus new.pdf Intuitionistic sentential calculus new.pdf
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  • Attachment
    Intuitionistic rules.pdf Intuitionistic rules.pdf
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  • Attachment
    24.244 F20 PS4.pdf 24.244 F20 PS4.pdf
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  • Attachment
    24.244 F20 PS4 answers.pdf 24.244 F20 PS4 answers.pdf
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Oct. 6-15 Provability Logic

Oct. 6-15 Provability Logic
Module Completed Module In Progress Module Locked
Oct. 6-15 Provability Logic 36588  
  • Attachment
    Godels_Incompleteness_Theorems.PDF Godels_Incompleteness_Theorems.PDF
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  • Attachment
    Solovay1976_Article_ProvabilityInterpretationsOfMo.pdf Solovay1976_Article_ProvabilityInterpretationsOfMo.pdf
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  • Attachment
    Provability Logic for 244.pdf Provability Logic for 244.pdf
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  • Attachment
    Selfreference Lemma.pdf Selfreference Lemma.pdf
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  • Attachment
    24.244 F20 PS5.pdf 24.244 F20 PS5.pdf
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  • Attachment
    24.244 F20 PS5 answers.pdf 24.244 F20 PS5 answers.pdf
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Provability Logic "Handouts"

Provability Logic "Handouts"
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Provability Logic "Handouts" 40454  
  • Attachment
    language of arithmetic.pdf language of arithmetic.pdf
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  • Attachment
    Peano Arithmetic.pdf Peano Arithmetic.pdf
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  • Attachment
    Church Turing theis.pdf Church Turing theis.pdf
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  • Attachment
    Selfreference and first incompleteness.pdf Selfreference and first incompleteness.pdf
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  • Attachment
    Second Incompleteness Theorem Loeb.pdf Second Incompleteness Theorem Loeb.pdf
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  • Attachment
    Loeb conditions axioms of GL.pdf Loeb conditions axioms of GL.pdf
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Oct. 20-22 Tense Logic

Oct. 20-22 Tense Logic
Module Completed Module In Progress Module Locked
Oct. 20-22 Tense Logic 36768  
  • Attachment
    Burgess_Basic_Tense_Logic.pdf Burgess_Basic_Tense_Logic.pdf
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  • Attachment
    Hamblin diagram corrected 2.pdf Hamblin diagram corrected 2.pdf
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  • Attachment
    Tense logic axioms.pdf Tense logic axioms.pdf
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  • Attachment
    24.244 F20 PS6.pdf 24.244 F20 PS6.pdf
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  • Attachment
    24.244 F20 PS6 answers.pdf 24.244 F20 PS6 answers.pdf
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Oct. 22-29 Conditionals

Oct. 22-29 Conditionals
Module Completed Module In Progress Module Locked
Oct. 22-29 Conditionals 36769  
  • Attachment
    Lewis_Completeness_Decidability.pdf Lewis_Completeness_Decidability.pdf
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  • Attachment
    ATheoryOfConditionals-Stalnaker.pdf ATheoryOfConditionals-Stalnaker.pdf
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  • Attachment
    Goodman counterfactuals.pdf Goodman counterfactuals.pdf
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  • Attachment
    Stalnaker Semantics.pdf Stalnaker Semantics.pdf
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  • Attachment
    Stalnaker axioms.pdf Stalnaker axioms.pdf
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  • Attachment
    24.244 F20 PS7.pdf 24.244 F20 PS7.pdf
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  • Attachment
    24.244 F20 PS7 answers.pdf 24.244 F20 PS7 answers.pdf
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  • Attachment
    Lewis Semantics new.pdf Lewis Semantics new.pdf
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Nov. 3-12 Identity and Necessity

Nov. 3-12 Identity and Necessity
Module Completed Module In Progress Module Locked
Nov. 3-12 Identity and Necessity 36770  
  • Attachment
    quine three grades of modal involvement.pdf quine three grades of modal involvement.pdf
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  • Attachment
    Montague Syntactical Treatments of Modality.PDF Montague Syntactical Treatments of Modality.PDF
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  • Attachment
    Kripke.IdentityAndNecessity.pdf Kripke.IdentityAndNecessity.pdf
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  • Attachment
    Smullyan modality_and_description.pdf Smullyan modality_and_description.pdf
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    Russell On Denoting.pdf Russell On Denoting.pdf
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    Montague Theorem.pdf Montague Theorem.pdf
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    24.244 F20 PS8 corrected.pdf 24.244 F20 PS8 corrected.pdf
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    24.244 F20 PS8 answers.pdf 24.244 F20 PS8 answers.pdf
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Nov. 17-19. Modal predicate calculus with constant domains, Free logic

Nov. 17-19. Modal predicate calculus with constant domains, Free logic
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Nov. 17-19. Modal predicate calculus with constant domains, Free logic 36772  
  • Attachment
    Axioms of predicate logic.pdf Axioms of predicate logic.pdf
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    Constantdomain Modal Logics revised.pdf Constantdomain Modal Logics revised.pdf
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  • Attachment
    24.244 F20 PS9.pdf 24.244 F20 PS9.pdf
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  • Attachment
    24.244 F20 PS9 answers.pdf 24.244 F20 PS9 answers.pdf
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  • Attachment
    Free logic really.pdf Free logic really.pdf
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Dec. 1-3. Modal predicate calculus with variable domains. Ontological argument

Dec. 1-3. Modal predicate calculus with variable domains. Ontological argument
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Dec. 1-3. Modal predicate calculus with variable domains. Ontological argument 36773  
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    Converse Barcan derivation.pdf Converse Barcan derivation.pdf
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  • Attachment
    kripke-saul-1963a-semantical-considerations-on-modal-logic.pdf kripke-saul-1963a-semantical-considerations-on-modal-logic.pdf
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  • Attachment
    Variabledomain Modal Logics revised again.pdf Variabledomain Modal Logics revised again.pdf
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  • Attachment
    Variable domain axioms corrected again.pdf Variable domain axioms corrected again.pdf
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    proslogium.pdf proslogium.pdf
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  • Attachment
    Malcolm on Anselm.pdf Malcolm on Anselm.pdf
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  • Attachment
    Ontological Argument formalized3.pdf Ontological Argument formalized3.pdf
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  • Attachment
    24.244 F20 PS10.pdf 24.244 F20 PS10.pdf
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Dec. 8 Counterpart theory

Dec. 8 Counterpart theory
Module Completed Module In Progress Module Locked
Dec. 8 Counterpart theory 36774  
  • Attachment
    Lewis counterpart theory and quantified modal logic.pdf Lewis counterpart theory and quantified modal logic.pdf
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