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    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.

    About this paper

    Paper title Advanced Formal Logic
    Subject Philosophy
    EFTS 0.15
    Points 18 points
    Teaching period Not offered in 2024, expected to be offered in 2025 (On campus)
    Domestic Tuition Fees ( NZD ) $981.75
    International Tuition Fees Tuition Fees for international students are elsewhere on this website.
    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


    Not offered in 2024, expected to be offered in 2025

    Teaching method
    This paper is taught On Campus
    Learning management system
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