Logic: Language and Information 2

This is an introduction to predicate logic and how it is applied in computer science, electronic engineering, linguistics, mathematics and philosophy. Building on your knowledge of propositional logic, you will learn predicate logic—its language, interpretations and proofs, and apply it to solve problems in a wide range of disciplines.

About The Course

Information is everywhere: in our words and our world, our thoughts and our theories, our devices and our databases. Logic is the study of that information: the features it has, how it’s represented, and how we can manipulate it. Learning logic helps you formulate and answer many different questions about information:
  • Does this hypothesis clash with the evidence we have or is it consistent with the evidence?
  • Is this argument watertight, or do we need to add more to make the conclusion to really follow from the premises?
  • Do these two sentences say the same things in different ways, or do they say something subtly different?
  • Does this information follow from what’s in this database, and what procedure could we use to get the answer quickly?
  • Is there a more cost-effective design for this digital circuit? And how can we specify what the circuit is meant to do so we could check that this design does what we want?
These are questions about Logic. When you learn logic you'll learn to recognise patterns of information and the way it can be represented. These skills are used whether we're dealing with theories, databases, digital circuits, meaning in language, or mathematical reasoning, and they will be used in the future in ways we haven't yet imagined. Learning logic is a central part of learning to think well, and this course will help you learn logic and how you can apply it.

This subject follows from Logic: Language and Information 1, to cover core techniques in first order predicate logic: the idea of formal languages with quantifiers, which gives us a way to talk about more logical structure than in propositional logic; and we will cover the central logical concepts such as consistency and validity; models; and proofs in predicate logic. But you won’t only learn these concepts and tools. We will also explore how these techniques connect with issues in linguistics, computer science, electronic engineering, mathematics, and philosophy.

Frequently Asked Questions

  • Will I get a Statement of Accomplishment after completing this class?

    Yes. Students who successfully complete the class will receive a Statement of Accomplishment signed by the instructors.

  • What resources will I need for this class?

    For this course, all you need is an Internet connection, and the time to watch the lectures, read the notes, practice your skills, think, and discuss the material online with other people participating in the class.

Recommended Background

This subject presumes a background in propositional logic, such as that provided in Logic: Language and Information 1. Beyond that, you need to be able to read and write, and be prepared to think, work and learn new skills—in particular, a willingness to work with symbolic representation and reasoning.