Simplicity theory, a cognitive theory, explains the attractiveness of situations or events to human minds. Through this [course_title] you will understand the claim that interesting situations appear simpler than expected to the observer. This [course_title] is a part of the model theory which covers the basic properties of independence in simple theories, hyper-imaginary canonical bases etc. to develop your skills.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: MIT
Course Curriculum
The Basic Setting: Universal Domains | 00:15:00 | ||
Extraction of Indiscernible Sequences | 00:30:00 | ||
Dividing and its Basic Properties | 00:30:00 | ||
Simplicity | 00:30:00 | ||
Thickness | 00:45:00 | ||
Lascar Strong Types and the Independence Theorem | 00:30:00 | ||
Examples: Hilbert Spaces, Hyperimaginary Sorts | 00:45:00 | ||
Generically Transitive Relations | 00:45:00 | ||
Characterisation of Simplicity and Non-dividing in Terms of Abstract Notion of Independence | 00:45:00 | ||
Supersimplicity | 01:00:00 | ||
Stable Theories with a Generic Automorphism | 00:45:00 | ||
Groups: Stratified Ranks, Generic Elements and Types | 01:00:00 | ||
Lovely Pairs | 00:30:00 | ||
Assessment | |||
Submit Your Assignment | 00:00:00 | ||
Certification | 00:00:00 |
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