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Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.

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P09 Advanced logic & computability

Advanced pathP: Advanced pureplannedabout 160 h (planning estimate)

Draft lectures and exercises are available for this course. They were written by AI and checked by a second AI; no person has reviewed them yet. Use them as a study aid, not as an authority.

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Named in: Advanced pure mathematics pathway

Why this course

Incompleteness, model theory and decidability boundaries.

Prerequisites

Required
U03 Mathematical logic, U04 Computability & complexity
Recommended
none
Can be taken at the same time
none
Everything required, transitively (5 courses)
B01, B05, F01, U03, U04
Courses that require this one
none

Concept-level units

Units follow the syllabus order, as a recommended sequence rather than a gate.

  1. Incompleteness
  2. Computability structures
  3. Model-theoretic methods
  4. Definability
  5. Decidability boundaries
  6. Selected independent reading

Assessable outcome

Reconstruct a metatheorem and separate object-level from meta-level reasoning.

Assessment design

  • deeper problem sets
  • reconstruction of an unfamiliar argument
  • advanced source reading
  • cumulative examination or substantial project

cumulative; uses spaced retrieval

Resources

Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.

  • Open Logic Project
  • selected computability/model-theory texts

Content record

Version
0.0.0
Review
no review of any kind
Provenance
catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
Known issues
none recorded
Type
course

Bridges and laboratories

No bridge or laboratory is attached to this course yet.

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