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Undergraduate | LTU-PHI3002-2023

Introduction to Logic

Study method

100% online


Subject may require attendance

Entry requirements

Prior study needed


12 weeks

Start dates

  • 31 July 2023

Price from


Upfront cost


HECS-HELP and FEE-HELP available

About this subject

What you'll learn

  1. Represent the structure of natural language statements and arguments in propositional and predicate logic.
  2. Analyse and evaluate the properties of formal arguments using truth tables and truth trees, and develop critical thinking skills by using these techniques to evaluate real-world arguments.
  3. Manage some essential meta-logical concepts such as soundness, completeness, and decidability.
  4. Implement active learning strategies to act as self directed learners who have the capability to use symbolic logic in assessment conditions.
  5. Investigate a number of discipline specific issues involving logic.
    • • Formalising everyday arguments.
    • • Sentential logic.
    • • Predicate logic.
    • • Proof methods.
    • • Soundness and completeness.
  • Logic aims to uncover the most general patterns of good reasoning, so as to improve the way we draw inferences and even allow us to automate parts of that process. It is fundamental to the study of philosophy, mathematics, and computer science, and it has strong connections with many disciplines including law, psychology, and linguistics. Reasoning also occurs everywhere, from the privacy of one's own mind to political and scientific debates in the public domain, and all good reasoning is implicitly governed by logical principles. Developing an explicit grasp of those principles then is an important transferrable skill, as that understanding can help one to spot when arguments have gone awry and how to get them back on track. This subject will provide a gentle introduction to some of the basic elements of deductive logic, including the formalisation of arguments, propositional and predicate logic, and an accessible method of proof known as "semantic tableaux". It will also touch on a number of more discipline-specific topics.

    • Online quizzes for weeks 1-12 (1800 words equivalent). Feedback is provided through LMS in the form of the mark, an identification of where points were lost, and an explanation of the correct answers to the problem sets. (40%)
    • Final exam (2000 words equivalent). (60%)
  • For textbook details check your university's handbook, website or learning management system (LMS).

  • The third university established in Victoria, La Trobe University has a diverse community of more than 38,000 students and staff. Its commitment to excellence in teaching and research prepares students to make a bold and positive impact in today's global community. La Trobe provides Open Universities Australia with its core tenets, entrepreneurship and sustainability.

    Learn more about La Trobe.

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    QS Ranking 2023: 20

    Times Higher Education Ranking 2023: 16

Entry requirements


Past La Trobe University students who have previously completed PHI2LOG (Logic: Analytic and Systematic Reasoning) and PHI3LOG (Logic: Analytic & Systematic Reasoning) are ineligible to enrol in this subject.

Additional requirements

No additional requirements

What to study next?

Once you’ve completed this subject it can be credited towards one of the following degrees

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Bachelor of Information Technology

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Bachelor of Business

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Bachelor of Arts

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Bachelor of Psychological Science

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Bachelor of Cybersecurity

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