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PHIL312 Advanced Formal Logic

Advanced applications of first-order logic. The logical structure of theories, including formal number theory. Proof of the completeness of first-order logic (everything provable in it is valid and everything valid in it is provable).

This paper is an introduction to non-classical logic, covering the basics of systems that go beyond "black and white" reasoning (e.g. modal, intuitionistic, relevant and many-valued logics). Philosophical issues are discussed alongside formal techniques.

Paper title Advanced Formal Logic
Paper code PHIL312
Subject Philosophy
EFTS 0.15
Points 18 points
Teaching period Not offered in 2023, expected to be offered in 2024 (On campus)
Domestic Tuition Fees (NZD) $955.05
International Tuition Fees Tuition Fees for international students are elsewhere on this website.

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PHIL 212 or PHIL 222 or PHIL 322
Schedule C
Arts and Music

Prerequisites may be waived on a case-by-case basis.

Teaching staff

Course co-ordinator and lecturer: Associate Professor Zach Weber

Paper Structure

Two 1-hour lectures per week and one tutorial.

Teaching Arrangements

Weekly lectures expand on the basic material covered in readings.


Introduction to Non-Classical Logic by Graham Priest.

Graduate Attributes Emphasised
Lifelong learning, Scholarship, Critical thinking, Self-motivation.
View more information about Otago's graduate attributes.
Learning Outcomes

Students who successfully complete the paper will acquire:

  • A working knowledge of several non-classical logics, including the philosophical motivations for these logics
  • Competence with checking the validity of arguments in different logics and constructing counterexamples to invalid arguments
  • Demonstrated ability to work with abstract models and understand their relationship to data

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Not offered in 2023, expected to be offered in 2024

Teaching method
This paper is taught On Campus
Learning management system