Logic: Language and Information 2
开始时间: 04/22/2022
持续时间: Unknown
课程主页: https://www.coursera.org/course/logic2
课程评论:没有评论
第一个写评论
关注课程
课程详情
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.
课程大纲
Week 1. The Syntax of Predicate Logic; Translations using quantifiers
Week 2. Models for Predicate Logic; Classifying propositions and arguments; Finite and Infinite Domains
Week 3. Tree Proofs for Predicate Logic; Soundness and Completeness
Week 4. Identity; Functions; Counting
Weeks 5–8. Applications to different reasoning domains (take at least three):
- Electronic Engineering — simplifying digital circuits with timing
- Philosophy — definite descriptions and existence
- Computer Science — databases, resolution and Prolog
- Linguistics — quantificational scope
- Mathematics — limits, continuity and quantifier alternation
课程评论(0条)
课程简介
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.
课程标签
1人关注该课程
主题相关的课程