Introduction to Logic
UndergraduateLTU-PHI30022025
- Study method
- 100% online
- Assessments
- 100% online
- Enrol by
- 20 July 2025
- Entry requirements
- Prior study needed
- Duration
- 12 weeks
- Start dates
- 28 July 2025
- Price from
- $2,124
- Upfront cost
- $0
- Loan available
- HECS-HELP and FEE-HELP available
Introduction to Logic
About this subject
On successful completion you will be able to:
- Represent the structure of natural language statements and arguments in propositional and predicate logic.
- 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.
- Manage some essential meta-logical concepts such as soundness, completeness, and decidability.
- Implement active learning strategies to act as self directed learners who have the capability to use symbolic logic in assessment conditions.
- 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.
This is a level 3 subject. This subject includes live sessions with the expectation of student attendance and participation.
- Early Assessment Quiz (equivalent to 500 words) (10%)
- Online quizzes for weeks 1-12 (1250 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. (35%)
- Take home exam (2000 words equivalent) (55%)
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 University.
Explore La Trobe courses.
- QS World University Ranking 2025, within Australia:
- 17
- Times Higher Education World University Ranking 2025, within Australia:
- 15
Entry requirements
Others
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
Study load
- 0.125 EFTSL
- This is in the range of 10 to 12 hours of study each week.
Equivalent full time study load (EFTSL) is one way to calculate your study load. One (1.0) EFTSL is equivalent to a full-time study load for one year.
Find out more information on Commonwealth Loans to understand what this means to your eligibility for financial support.
What to study next?
Once you’ve completed this subject it can be credited towards one of the following courses
UndergraduateLAT-BUS-DEG
UndergraduateLAT-ART-DEG
Bachelor of Arts/Bachelor of Health Sciences
UndergraduateLAT-AHS-DEG
Bachelor of Psychological Science
UndergraduateLAT-PYS-DEG
UndergraduateLAT-HSC-DEG
Bachelor of Information Technology
UndergraduateLAT-TEC-DEG
UndergraduateLAT-CYS-DEG
Single subject FAQs
What’s a single subject?
Single subjects are the individual components that make up a degree. With Open Universities Australia, you’re able to study many of them as stand-alone subjects, including postgraduate single subjects, without having to commit to a degree.
Each of your subjects will be held over the course of a study term, and they’ll usually require 10 to 12 hours of study each week. Subjects are identified by a title and a code, for example, Developmental Psychology, PSY20007.
How can I use single subjects to get into a full degree?
First, find the degree that you would like to study on our website.
If that degree allows entry via undergraduate subjects, there will be information about this under the Entry Requirements section. You will find a list of 2-4 open enrolment subjects you need to successfully complete to qualify for admission into that qualification.
Once you pass those subjects, you will satisfy the academic requirements for the degree, and you can apply for entry.
Our student advisors are here to help you take that next step, so don’t hesitate to reach out when you’re ready! We’ve also made it easier to figure out the right way to get started on our pathways page.
Can anyone help me choose a subject?
Our student advisors are more than happy to help you plan your online study. Get in touch with an advisor by:
How do I pay for my subjects?
You can pay up front with your credit card, or you may be eligible for a HELP loan from the Australian government depending on your citizenship status and where you’ll live during your studies.
For more information about how to pay for your studies visit our fees page or contact a student advisor.
How do I enrol?
When you’ve made your choice, click ‘Enrol now’ on the relevant course page and follow the prompts to begin your enrolment. We’ll ask you to supply some supporting documentation, including proof of your identity, your tax file number, and a unique student identifier (USI) during this process.
Your university will get in touch with you via email to confirm whether or not your application has been successful.
If you get stuck at any time, reach out to us and we’ll talk you through it.
You can also take a look at our online self-service enrolling instructions.
When is the cut-off date for enrolling?
Close of enrolment times vary between universities and subjects. You can check the cut-off dates for upcoming study terms by visiting key dates.