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Dave Barker-Plummer
and
John Etchemendy
In this course you will be introduced to the concepts and techniques used in logic. We will start right from the beginning, assuming no prior exposure to this or similar material, and progress through discussions of the proof and model theories of propositional and first-order logic.
Read more
In this course you will be introduced to the concepts and techniques used in logic. We will start right from the beginning, assuming no prior exposure to this or similar material, and progress through discussions of the proof and model theories of propositional and first-order logic.
Read more
In this course you will be introduced to the concepts and techniques used in logic. We will start right from the beginning, assuming no prior exposure to this or similar material, and progress through discussions of the proof and model theories of propositional and first-order logic.
All learners receive a complete textbook and software package ($55.00 value).
We will proceed by giving a theory of truth, and of logical consequence, based on a formal language called FOL (the language of First-Order Logic). We adopt a formal language for making statements, since natural languages (like English, for example) are far too vague and ambiguous for us to analyze sufficiently. Armed with the formal language, we will be able to model the notions of truth, proof and consequence, among others.
What you'll learn
While logic is technical in nature, the key concepts in the course will be developed by considering natural English statements, and we will focus the relationships between such statements and their FOL counterparts. The goal of the course is to show how natural English statements and arguments can be formalized and analyzed.
Register for this course and see more details by visiting:
OpenCourser.com/course/oqxmh8/language
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what to watch for , and
possible dealbreakers
Examines logic, which is standard in computer science
Explores logic, which is foundational to most advanced math
Teaches logic, which is useful in semantic web understanding
Taught by Dave Barker-Plummer, who are recognized for their work in logic
Taught by John Etchemendy, who are recognized for their work in logic
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Reviews summary
Engaging, introductory logic and proofs course
Learners say Language, Proof and Logic is an introductory course that covers the foundations of formal logic, including its applications in computer science, philosophy, and linguistics. They note the course's overall engagement, especially due to its use of the Logic 2010 software which allows students to explore logical concepts hands-on through exercises and quizzes.
Course uses Logic 2010 for hands-on learning.
"The course makes use of the Logic 2010 software, which provides a user-friendly interface for exploring logical concepts and constructing proofs."
Engaging course with interactive elements.
"One of the strengths of the course is its use of interactive tools and software to engage students in the learning process."
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Language, Proof and Logic with these
activities:
Review your notes from previous logic courses
Show steps
Reviewing your notes from previous logic courses will help you to refresh your memory and to identify areas where you need additional support.
Browse courses on
Logic
Show steps
-
Gather your notes from previous logic courses.
-
Review the notes and identify the key concepts and techniques.
-
Complete any practice exercises or problems that are included in your notes.
Review 'Introduction to Logic' by Irving Copi and Carl Cohen
Show steps
Review the textbook provided with the course to refresh your understanding of the basic concepts and techniques used in logic.
View
Introduction to Logic
on Amazon
Show steps
-
Read the first three chapters of the textbook.
-
Summarize the key concepts in each chapter.
-
Complete the practice exercises at the end of each chapter.
Practice writing proofs
Show steps
Practicing writing proofs will help you to develop your problem-solving skills and to improve your understanding of the logical principles that underlie the course material.
Browse courses on
Logic
Show steps
-
Find a list of logic problems.
-
Write a proof for each problem.
Six other activities
Expand to see all activities and additional details
Show all nine activities
Watch video tutorials on logic
Show steps
Watching video tutorials can help you to learn the material more visually and to reinforce the concepts you learn in the course.
Browse courses on
Logic
Show steps
-
Find a video tutorial series on logic.
-
Watch the videos and take notes.
-
Pause the videos and try to solve the problems on your own.
Solve logic puzzles
Show steps
Solving logic puzzles will help you to develop your problem-solving skills and apply the concepts you learn in the course.
Browse courses on
Propositional Logic
Show steps
-
Find a collection of logic puzzles online or in a book.
-
Choose a puzzle and read it carefully.
-
Identify the key elements of the puzzle, such as the variables, the constraints, and the goal.
-
Apply the concepts you learn in the course to solve the puzzle.
Join a study group
Show steps
Working with other students in a study group can help you to learn the material more deeply and to identify areas where you need additional support.
Browse courses on
Logic
Show steps
-
Find a study group that meets regularly.
-
Attend the study group meetings and participate actively.
-
Work with your group members to review the course material, solve problems, and prepare for exams.
Translate statements into FOL
Show steps
Translating statements into FOL will help you to develop your understanding of the syntax and semantics of FOL.
Browse courses on
First-Order Logic
Show steps
-
Find a list of statements expressed in natural language.
-
Translate each statement into FOL using the appropriate syntax and vocabulary.
Write a logic paper
Show steps
Writing a logic paper will help you to demonstrate your understanding of the course material and to develop your critical thinking skills.
Browse courses on
Propositional Logic
Show steps
-
Choose a topic for your paper.
-
Research your topic and gather evidence to support your argument.
-
Write a thesis statement that states your main argument.
-
Write the body of your paper, using evidence to support your argument.
-
Write a conclusion that summarizes your argument and restates your thesis.
Create a logic game
Show steps
Creating a logic game will help you to demonstrate your understanding of the course material and to develop your creativity.
Browse courses on
Logic
Show steps
-
Design the game board.
-
Create the game rules.
-
Test the game and make any necessary adjustments.
Review your notes from previous logic courses
Show steps
Reviewing your notes from previous logic courses will help you to refresh your memory and to identify areas where you need additional support.
Browse courses on
Logic
Show steps
Show steps
Show steps
- Gather your notes from previous logic courses.
- Review the notes and identify the key concepts and techniques.
- Complete any practice exercises or problems that are included in your notes.
Review 'Introduction to Logic' by Irving Copi and Carl Cohen
Show steps
Review the textbook provided with the course to refresh your understanding of the basic concepts and techniques used in logic.
View
Introduction to Logic
on Amazon
Show steps
Show steps
Show steps
- Read the first three chapters of the textbook.
- Summarize the key concepts in each chapter.
- Complete the practice exercises at the end of each chapter.
Practice writing proofs
Show steps
Practicing writing proofs will help you to develop your problem-solving skills and to improve your understanding of the logical principles that underlie the course material.
Browse courses on
Logic
Show steps
Show steps
Show steps
- Find a list of logic problems.
- Write a proof for each problem.
Six other activities
Expand to see all activities and additional details
Show all nine activities
Watch video tutorials on logic
Show steps
Watching video tutorials can help you to learn the material more visually and to reinforce the concepts you learn in the course.
Browse courses on
Logic
Show steps
Show steps
Show steps
- Find a video tutorial series on logic.
- Watch the videos and take notes.
- Pause the videos and try to solve the problems on your own.
Solve logic puzzles
Show steps
Solving logic puzzles will help you to develop your problem-solving skills and apply the concepts you learn in the course.
Browse courses on
Propositional Logic
Show steps
Show steps
Show steps
- Find a collection of logic puzzles online or in a book.
- Choose a puzzle and read it carefully.
- Identify the key elements of the puzzle, such as the variables, the constraints, and the goal.
- Apply the concepts you learn in the course to solve the puzzle.
Join a study group
Show steps
Working with other students in a study group can help you to learn the material more deeply and to identify areas where you need additional support.
Browse courses on
Logic
Show steps
Show steps
Show steps
- Find a study group that meets regularly.
- Attend the study group meetings and participate actively.
- Work with your group members to review the course material, solve problems, and prepare for exams.
Translate statements into FOL
Show steps
Translating statements into FOL will help you to develop your understanding of the syntax and semantics of FOL.
Browse courses on
First-Order Logic
Show steps
Show steps
Show steps
- Find a list of statements expressed in natural language.
- Translate each statement into FOL using the appropriate syntax and vocabulary.
Write a logic paper
Show steps
Writing a logic paper will help you to demonstrate your understanding of the course material and to develop your critical thinking skills.
Browse courses on
Propositional Logic
Show steps
Show steps
Show steps
- Choose a topic for your paper.
- Research your topic and gather evidence to support your argument.
- Write a thesis statement that states your main argument.
- Write the body of your paper, using evidence to support your argument.
- Write a conclusion that summarizes your argument and restates your thesis.
Create a logic game
Show steps
Creating a logic game will help you to demonstrate your understanding of the course material and to develop your creativity.
Browse courses on
Logic
Show steps
Show steps
Show steps
- Design the game board.
- Create the game rules.
- Test the game and make any necessary adjustments.
Career center
Learners who complete Language, Proof and Logic will develop knowledge and skills
that may be useful to these careers:
Formal Reasoning Instructor
Formal Reasoning Instructor
Formal Reasoning Instructors work with students who are still developing their formal reasoning skills. The Logic, Proof and Language course offered by Stanford can help Formal Reasoning Instructors strengthen their understanding of logic and enhance their teaching abilities. The course provides clarity on formal languages, truth, and proof, enabling instructors to instill a deeper understanding of these concepts in their students.
Logic Programming Engineer
Logic Programming Engineer
Logic Programming Engineers are responsible for the development, implementation and maintenance of logic-based software systems. The Logic, Proof and Language course offered by Stanford University provides a thorough grounding in the fundamental concepts of logic, including proof and model theories. Through the study of propositional and first-order logic, students gain valuable knowledge that can be applied to the design and construction of logic-based systems.
Artificial Intelligence Researcher
Artificial Intelligence Researcher
Artificial Intelligence Researchers develop and evaluate AI techniques and algorithms. The Logic, Proof and Language course from Stanford provides a solid theoretical foundation for understanding the principles of logic and its applications in AI. The course covers proof and model theories, as well as the use of formal languages to analyze arguments and reason about knowledge, equipping researchers with a valuable skill set for advancing AI research.
Data Scientist
Data Scientist
Data Scientists use scientific methods, processes, algorithms, and systems to extract knowledge and insights from data in various forms, both structured and unstructured. The Logic, Proof and Language course taught at Stanford provides a strong foundation in logical reasoning, proof construction, and model theory. This knowledge is essential for data scientists who need to analyze, interpret, and draw meaningful conclusions from complex datasets.
Computer Scientist
Computer Scientist
Computer Scientists are responsible for designing, developing, and maintaining computer systems and applications. The Logic, Proof and Language course from Stanford University provides a strong theoretical foundation in logic and its applications to computer science. The course covers propositional and first-order logic, proof theory, and model theory, equipping computer scientists with essential knowledge for designing and analyzing complex systems.
Cryptographer
Cryptographer
Cryptographers develop and analyze techniques for secure communication and data protection. The Logic, Proof and Language course offered by Stanford University provides a strong foundation in logic, proof theory, and model theory. This knowledge is essential for cryptographers to understand the mathematical principles underlying cryptosystems and to design and analyze secure protocols.
Software Engineer
Software Engineer
Software Engineers design, develop, test, and maintain software systems. The Logic, Proof and Language course at Stanford University provides a solid foundation in logical reasoning and formal methods. The course covers propositional and first-order logic, proof theory, and model theory, equipping software engineers with valuable skills for designing and implementing robust and reliable software systems.
Mathematician
Mathematician
Mathematicians explore the properties of numbers, space, and change. The Logic, Proof and Language course from Stanford provides a grounding in the fundamentals of logic, including proof and model theories. Through the study of propositional and first-order logic, students gain a deeper understanding of mathematical concepts and develop the ability to construct rigorous proofs.
Philosopher
Philosopher
Philosophers study the fundamental nature of knowledge, reality, and existence. The Logic, Proof and Language course offered by Stanford University provides a strong foundation in logic and its applications to philosophy. The course covers propositional and first-order logic, proof theory, and model theory, equipping philosophers with valuable tools for analyzing arguments, constructing theories, and exploring philosophical problems.
Systems Analyst
Systems Analyst
Systems Analysts are responsible for the analysis, design, and implementation of computer systems. The Logic, Proof and Language course offered by Stanford provides a strong foundation in formal methods and modeling techniques. The course covers propositional and first-order logic, proof theory, and model theory, equipping systems analysts with essential skills for designing and implementing complex, reliable systems.
Economist
Economist
Economists study the production, distribution, and consumption of goods and services. Formal methods are increasingly used to study phenomena such as market equilibrium and decision-making under uncertainty. The Logic, Proof and Language course taught by Stanford provides a solid foundation in the principles of logic, proof theory, and model theory. This knowledge enables economists to develop rigorous theories and models that accurately capture the complexities of economic systems.
Actuary
Actuary
Actuaries evaluate the financial consequences of risk and uncertainty. The Logic, Proof and Language course from Stanford may be useful for Actuaries as it provides a foundation in logical reasoning and formal methods. The course covers propositional and first-order logic, proof theory, and model theory, equipping actuaries with valuable skills for analyzing risk, developing models, and making informed decisions.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts develop and apply mathematical and statistical models to financial data. The Logic, Proof and Language course taught at Stanford may be useful for Quantitative Analysts as it provides a foundation in formal reasoning and proof construction. The course covers propositional and first-order logic, proof theory, and model theory, equipping analysts with valuable skills for developing and evaluating financial models.
UX Researcher
UX Researcher
UX Researchers study user behavior and feedback to improve the usability and effectiveness of products and services. The Logic, Proof and Language course at Stanford University may be useful for UX Researchers as it provides a foundation in formal reasoning and argument analysis. The course covers propositional and first-order logic, proof theory, and model theory, equipping researchers with valuable skills for analyzing user feedback, designing experiments, and developing user-centered designs.
Policy Analyst
Policy Analyst
Policy Analysts research, analyze, and evaluate public policies. The Logic, Proof and Language course from Stanford may be useful for Policy Analysts as it provides a foundation in logical reasoning and argument analysis. The course covers propositional and first-order logic, proof theory, and model theory, equipping analysts with valuable skills for evaluating policy proposals, developing recommendations, and communicating policy implications.
For more career information including salaries, visit:
OpenCourser.com/course/oqxmh8/language
Reading list
We've selected 11 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Language, Proof and Logic.
This classic work on logic great resource for students who want to learn more about the foundations of the subject. It covers a wide range of topics, from propositional logic to modal logic, and it is written in a clear and engaging style.
This textbook is designed for students of computer science who want to learn about logic. It covers a wide range of topics, from propositional logic to modal logic, and it emphasizes the applications of logic to computer science.
This textbook is designed for students of computer science who want to learn about automated theorem proving. It covers the basics of first-order logic, and it includes a section on automated theorem proving.
Provides a philosophical introduction to logic. It covers a wide range of topics, from the basics of propositional and first-order logic to advanced topics such as modal logic and semantics.
This textbook provides a comprehensive introduction to reasoning. It covers a wide range of topics, from the basics of reasoning to advanced topics such as argumentation and fallacies.
This classic work on the philosophy of science provides a unique perspective on the nature of logic. Popper argues that logic is not a tool for discovering truth, but rather a tool for criticizing and testing theories.
Save
This textbook provides a comprehensive introduction to the philosophy of science. It covers a wide range of topics, from the basics of logic and set theory to advanced topics such as the nature of scientific theories and the problem of induction.
Save
This classic work on logic great resource for students who want to learn about the history of logic. It covers a wide range of topics, from the basics of propositional and first-order logic to advanced topics such as modal logic and semantics.
Save
This textbook provides a comprehensive introduction to logic and reasoning. It covers a wide range of topics, from the basics of logic and set theory to advanced topics such as the nature of scientific theories and the problem of induction.
This textbook provides a concise and accessible introduction to logic. It covers the basics of propositional and first-order logic, and it includes plenty of examples and exercises to help students learn the material.
Provides a comprehensive introduction to intuitionistic logic. It covers the basics of intuitionistic logic, and it includes a section on the applications of intuitionistic logic to mathematics.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/oqxmh8/language
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Effort
5 to 10 hours per week for 15 weeks
Level
Elementary
Via
edX
Institution
Stanford University
Instructors
Dave Barker-Plummer
John Etchemendy
Language
English
Transcript
English
Good to know
Examines logic, which is standard in computer science
Explores logic, which is foundational to most advanced math
Teaches logic, which is useful in semantic web understanding
Taught by Dave Barker-Plummer, who are recognized for their work in logic
Taught by John Etchemendy, who are recognized for their work in logic
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