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Easy Deriver [Sentential and Predicate Logic—Bergmann Syntax]
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Easy Deriver [Sentential and Predicate Logic—Bergmann Syntax]
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Sentential Logic: 10 Tutorials
- Tutorial 1 Introduction, sketch of course, and symbolizing atomic sentences.
- Tutorial 2: Symbolizing compound sentences
- Review
- Tutorial 3: Sentences and Truth
- Tutorial 4: Arguments and searching for a counter example
- Review 2
- Tutorial 5: Valid arguments, searching for a proof
- Tutorial 6: What is a derivation and what does it prove? How experts do derivations.
- Tutorial 7: Conditional Proof
- Tutorial 8: Reductio ad Absurdum
- Tutorial 9: The Remaining Sentential Rules of Inference
- Tutorial 10: Common Inference Patterns and Rewrite Rules
- Review of Sentential Logic
- Sentential Logic: Try your own derivations
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Predicate Logic: 15 Tutorials
- Tutorial 11: Sketch of the second part of the course, and symbolizing sentences using predicate logic.
- Tutorial 12: Symbolizing sentences using predicate logic (continued)
- Review of New Material
- Tutorial 13: An Introduction to Truth in Predicate Logic
- Tutorial 14: Some Terminology for the Semantics of Predicate Logic
- Tutorial 15: Elementary derivations in predicate logic
- Tutorial 16: Symbolization using the quantifiers
- Tutorial 17: The semantics of quantifiers
- Tutorial 18: Universal Elimination
- Tutorial 19: Universal Introduction
- Tutorial 20: Existential Introduction
- Tutorial 21: Existential Elimination
- Tutorial 22: Symbolizing Relations
- Symbolization Review
- Tutorial 23: The semantics of relations
- Tutorial 24: The restrictions on the quantificational rules
- Tutorial 25 ...
- Try your own derivations
- Exercises for Easy Deriver using the Deriver Web Application [Bergmann]
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Sentential Logic: 10 Tutorials
Easy Deriver [Copi]
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Easy Deriver [Copi Syntax]
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Propositional Logic: 10 Tutorials
- Introduction
- Tutorial 1: Introduction, sketch of course, and symbolizing atomic propositions
- Tutorial 2: Symbolizing compound propositions
- Review 1
- Tutorial 3: Propositions and truth
- Tutorial 4: Arguments and searching for a counter-example
- Tutorial 5: Valid arguments, searching for a proof
- Review 2
- Tutorial 6: Propositional Rules of Inference I
- Tutorial 7: Propositional Rules of Inference II. Tactics: how experts do derivations
- Review of the Nine Rules of Inference
- Tutorial 8: Conditional Proof
- Tutorial 9: Common inference patterns and replacement
- Tutorial 10: Drawing it all together
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Predicate Logic: 15 Tutorials
- Tutorial 11: Sketch of the second part of the course, and symbolizing propositions using predicate logic
- Tutorial 12: Symbolizing propositions using predicate logic(continued)
- Review of New Material
- Tutorial 13: An introduction to truth in predicate logic
- Tutorial 14: Some terminology for the semantics of predicate logic
- Tutorial 15: Elementary derivations in predicate logic
- Tutorial 16: Symbolization using the quantifiers
- Tutorial 17: The semantics of quantifiers
- Tutorial 18: Simplified Universal Instantiation
- Tutorial 19: Simplified Universal Generalization
- Tutorial 20: Simplified Existential Generalization
- Tutorial 21: Existential Instantiation
- Tutorial 22: Symbolizing Relations
- Symbolization Review
- Tutorial 23: The Semantics of Relations
- Tutorial 24: The Restrictions on the Quantificational Rules
- Review of the Quantificational Rules
- Tutorial 25 ...
- Try your own derivations
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Propositional Logic: 10 Tutorials
Easy Deriver [Propositional and Predicate Logic—Gentzen Syntax]
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Easy Deriver [Propositional and Predicate Logic—Gentzen Syntax]
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Propositional Logic: 10 Tutorials
- Tutorial 1 Introduction, sketch of course, and symbolizing atomic propositions.
- Tutorial 2: Symbolizing compound propositions
- Review
- Tutorial 3: Propositions and Truth
- Tutorial 4: Arguments and searching for a counter example
- Review 2
- Tutorial 5: Valid arguments, searching for a proof
- Tutorial 6: What is a derivation and what does it prove? How experts do derivations.
- Tutorial 7: Conditional Proof
- Tutorial 8: Reductio ad Absurdum
- Tutorial 9: The Remaining Propositional Rules of Inference
- Tutorial 10: Common Inference Patterns and Rewrite Rules
- Review of Propositional Logic
- Propositional Logic: Try your own derivations
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Predicate Logic: 15 Tutorials
- Tutorial 11: Sketch of the second part of the course, and symbolizing propositions using predicate logic.
- Tutorial 12: Symbolizing propositions using predicate logic (continued)
- Review of New Material
- Tutorial 13: An Introduction to Truth in Predicate Logic
- Tutorial 14: Some Terminology for the Semantics of Predicate Logic
- Tutorial 15: Elementary derivations in predicate logic
- Tutorial 16: Symbolization using the quantifiers
- Tutorial 17: The semantics of quantifiers
- Tutorial 18: Simplified Universal Instantiation
- Tutorial 19: Universal Generalization
- Tutorial 20: Simplified Existential Generalization
- Tutorial 21: Existential Instantiation
- Tutorial 22: Symbolizing Relations
- Symbolization Review
- Tutorial 23: The semantics of relations
- Tutorial 24: The restrictions on the quantificational rules
- Tutorial 25 ...
- Try your own derivations
- Exercises for Easy Deriver using the Deriver Web Application [Gentzen]
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Propositional Logic: 10 Tutorials
Easy Deriver [Hausman]
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Easy Deriver [Hausman Syntax]
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Sentential Logic: 10 Tutorials
- Introduction
- Tutorial 1: Introduction, sketch of course, and symbolizing atomic sentences
- Tutorial 2: Symbolizing compound sentences
- Review 1
- Tutorial 3: Sentences and truth
- Tutorial 4: Arguments and searching for a counter-example
- Tutorial 5: Valid arguments, searching for a proof
- Review 2
- Tutorial 6: Sentential Rules of Inference I
- Tutorial 7: Sentential Rules of Inference II. Tactics: how experts do derivations
- Review of the 8 Basic Sentential Rules of Inference
- Tutorial 8: Common inference patterns and replacement
- Tutorial 9: Conditional Proof and Indirect Proof
- Tutorial 10: Drawing it all together
- Try your own derivations
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Predicate Logic: 15 Tutorials
- Tutorial 11: Sketch of the second part of the course, and symbolizing sentences using predicate logic
- Tutorial 12: Symbolizing propositions using predicate logic(continued)
- Review of New Material
- Tutorial 13: An introduction to truth in predicate logic
- Tutorial 14: Some terminology for the semantics of predicate logic
- Tutorial 15: Elementary derivations in predicate logic
- Tutorial 16: Symbolization using the quantifiers
- Tutorial 17: The semantics of quantifiers
- Tutorial 18: Simplified Universal Instantiation
- Tutorial 19: Simplified Universal Generalization
- Tutorial 20: Simplified Existential Generalization
- Tutorial 21: Existential Instantiation, and Quantifier Replacement Rules
- Tutorial 22: Symbolizing Relations
- Symbolization Review
- Tutorial 23: The Semantics of Relations
- Tutorial 24: The Restrictions on the Quantificational Rules
- Review of the Quantificational Rules
- Tutorial 25 ...
- Try your own derivations
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Sentential Logic: 10 Tutorials
Easy Deriver [Herrick]
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Easy Deriver [Herrick Syntax]
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Sentential Logic: 10 Tutorials
- Introduction
- Tutorial 1: Introduction, sketch of course, and symbolizing atomic sentences
- Tutorial 2: Symbolizing compound sentences
- Review 1
- Tutorial 3: Sentences and truth
- Tutorial 4: Arguments and searching for a counter-example
- Tutorial 5: Valid arguments, searching for a proof
- Review 2
- Tutorial 6: Sentential Rules of Inference I
- Tutorial 7: Sentential Rules of Inference II. Tactics: how experts do derivations
- Tutorial 8: Common inference patterns and replacement
- Tutorial 9: Conditional Proof and Indirect Proof
- Tutorial 10: Drawing it all together
- Try your own derivations
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Predicate Logic: 15 Tutorials
- Tutorial 11: Sketch of the second part of the course, and symbolizing sentences using predicate logic
- Tutorial 12: Symbolizing propositions using predicate logic(continued)
- Review of New Material
- Tutorial 13: An introduction to truth in predicate logic
- Tutorial 14: Some terminology for the semantics of predicate logic
- Tutorial 15: Elementary derivations in predicate logic
- Tutorial 16: Symbolization using the quantifiers
- Tutorial 17: The semantics of quantifiers
- Tutorial 18: Simplified Universal Instantiation
- Tutorial 19: Simplified Universal Generalization
- Tutorial 20: Simplified Existential Generalization
- Tutorial 21: Existential Instantiation, and Quantifier Replacement Rules
- Tutorial 22: Symbolizing Relations
- Symbolization Review
- Tutorial 23: The Semantics of Relations
- Tutorial 24: The Restrictions on the Quantificational Rules
- Review of the Quantificational Rules
- Tutorial 25 ...
- Try your own derivations
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Sentential Logic: 10 Tutorials
A playable version of the Henkin-Hintikka Game: Introductory Game Theoretical Semantics (GTS)
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A Playable Version of the Henkin-Hintikka Game: Introductory Game Theoretical Semantics (GTS)
- Simple run through of the Endorse-Deny rules.
- Exercise 1 — No quantifiers: affirming the consequent, and denying the antecedent
- Exercise 2 — A single quantifier: illicit conversion, and the empty case
- Exercise 3 — Two quantifiers: the quantifier-shift fallacy
- Exercise 4 — Identity: muddling "a" and "the"
- The Endorsement Game Rules
- Acknowledgement
Symbolization into Propositional and Predicate Logic [Gentzen syntax]
Deriver [Functional Terms, Identity, First Order Theories, Set Theory—Gentzen Syntax]
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Deriver [Functional Terms, Identity, First Order Theories, Set Theory—Gentzen Syntax]
- Tutorial 1: Identity, Semantics and Symbolization
- Tutorial 2 Identity: Functional Terms and Rules of Inference
- Tutorial 3 Identity: Uniqueness, Definite Descriptions, Iota
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First Order Theories
- Tutorial 4: Number Theory 1
- Tutorial 5: Number Theory II
- Tutorial 6: Set Theory I: Set Building, Abstraction and Extension
- Tutorial 7: Set Theory II: Subsets, Empty Set, Universe Set
- Tutorial 8: Set Theory III: Union, Intersection, Complement, Unordered Pairs, Power Set
- Tutorial 9: Set Theory IV: Ordered Pairs, Cross Products
- Tutorial 10: Set Theory V: Russell's Paradox, Axiomatic Set Theory, and Criticisms
- Tutorial 11: Abelian Groups, Boolean Algebra, Linearly Ordered Sets
- Try your own derivations
- Doing Exercises in Deriver using the Deriver Web Application
Tree Tutorials [Propositional, Predicate, Identity, and Modal Logic Trees—Default Syntax]
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Tree Tutorials [Propositional, Predicate, Identity, and Modal Logic Trees—Default Syntax]
- Preliminary [Pre-test]
- Tree Tutorial 1: Propositional Trees: Introduction
- Tree Tutorial 2: More Propositional Tree Rules
- Review of Tree Propositional Rules
- Propositional Trees: Roll your own
- Tree Tutorial 3: Using Trees to Test for Satisfiability and Invalidity
- Notation for Predicates
- Tree Tutorial 4: Predicate Logic Trees
- Review of Tree Predicate Rules
- Predicate Trees: Roll your own
- Tree Tutorial 5: Identity Rules
- Tree Tutorial 6: Functional Terms and First Order Theories
- Tree Tutorial 7: Type Labels, Sorts, and Signatures ['Mixed Domains']
- Tree Tutorial 8 Modal Trees
- Modal Trees: Roll Your Own
Tree Tutorials [Propositional, Predicate, Identity, and Modal Logic Trees—Howson Syntax]
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Tree Tutorials [Propositional, Predicate, Identity, and Modal Logic Trees—Howson Syntax]
- Preliminary [Pre-test]
- Notation
- Tree Tutorial 1: Propositional Trees: Introduction
- Tree Tutorial 2: More Propositional Tree Rules
- Propositional Trees: Roll your own
- Review of Tree Propositional Rules
- Tree Tutorial 3: Using Trees to Test for Satisfiability and Invalidity
- Tree Tutorial 4: Predicate Logic Trees
- Review of Tree Predicate Rules
- Predicate Trees: Roll your own
- Tree Tutorial 5: Identity Rules
- Tree Tutorial 6: Functional Terms and First Order Theories
- Tree Tutorial 7: Type Labels, Sorts, Order Sorted Logic ['Mixed Domains']
- Tree Tutorial 8 Modal Trees
- Review of Additional S5 Propositional Rules
- Review of K Propositional Rules
- Modal Trees: Roll Your Own
LP&L Trees [Tarski's World]
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LP&L Trees [Tarski's World]
- LP&L Trees 0 Video: Advanced Tarksi World Tree
- LP&L Trees 1 Analytical Consequence Ana Con I
- LP&L Trees 2 Analytical Consequence Ana Con II
- LP&L Trees 3 Analytical Consequence Ana Con III
- LP&L Trees 4 Propositional Samples
- LP&L Trees 5 Predicate Samples
- LP&L Trees 6 Identity Samples
- LP&L Trees 7 Predicate Exercises: Roll your own
Type Labels, Sorts, and Order Sorted Logic [Gentzen Syntax]
Modal Logic [Girle Syntax]
Steven A. Stegeman, The Return of Rationality 1
Documentation
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Documentation
- Fast Start on the Deriver web or standalone Application (for Instructors)
- General Documentation
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The Deriver Application
- Running the Deriver Application in a web browser using CheerpJ
- Downloading and launching the stand alone Java Application
- Configuring the Deriver Application Using the Preferences
- Deriver running in a web page in a web browser using Webswing (no installation required)
- Deriver Application Menus
- Webswing: a valuable and trusted companion
- Writing Symbols (and Alternative Symbols)
- Checking your computer is configured correctly
Instructional Software for Logic and Source Code
Lambda Calculus and Combinatory Logic
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Lambda Calculus and Combinatory Logic
- Bibliography
- Introduction
- The Basic Grammar of Lambda Expressions
- Notation (skip this if you wish)
- Substitutions
- The Rules of the Lambda Calculus
- Normal Forms and Termination
- Normal Order and Applicative Order Reduction
- Lambda Combinators I: True, False, Conditional
- Lambda Combinators II: Lists and Numbers
- Lambda Combinators III: Recursion and the Fixpoint Combinator
- Review of Lambda Combinators
- Operational and Denotational Semantics
- Translating Functional Programming Constructs into Lambda Calculus
- Combinatory Logic I
- Combinatory Logic II
- Reduction Strategies
- Roll your own [Combinatory Logic]
- Roll your own [Lambda Calculus]
Lambda Calculus with Elementary Type Theory
Artificial Intelligence and Librarianship
Topic
- combinatory logic (5)
- derivations (158)
- developer (3)
- epistemic (3)
- identity (11)
- lambda (26)
- semantics (74)
- set theory (12)
- sorts (7)
- symbolization (105)
- trees (82)
- types (7)
- modal (19)
- predicate (145)
- propositional (187)
- software (0)