Logic 7 - First Order Logic | Stanford CS221: AI (Autumn 2021)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor Dorsa Sadigh Assistant Professor in the Computer Science Department & Electrical Engineering Department https://profiles.stanford.edu/dorsa-sadigh To follow along with the course schedule and syllabus, visit: https://stanford-cs221.github.io/autumn2021/#schedule 0:00 Introduction 0:06 Logic: first-order logic 0:36 Limitations of propositional logic 5:08 First-order logic: examples 6:19 Syntax of first-order logic 12:55 Natural language quantifiers 15:47 Some examples of first-order logic 20:01 Graph representation of a model If only have unary and binary predicates, a model w can be represented as a directed graph 22:09 A restriction on models 24:16 Propositionalization If one-to-one mapping between constant symbols and objects (unique names and domain closure)