Students

PHL 134 – Formal Logic

2019 – S2 Day

General Information

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Unit convenor and teaching staff Unit convenor and teaching staff Unit Convenor
Jennifer Duke-Yonge
jennifer.duke-yonge@mq.edu.au
Contact via jennifer.duke-yonge@mq.edu.au
By arrangement
Credit points Credit points
3
Prerequisites Prerequisites
Corequisites Corequisites
Co-badged status Co-badged status
Unit description Unit description
Logic is concerned with the study of good reasoning. While PHL137 examines reasoning as it occurs in everyday life, this unit is a course in formal logic, where we look behind these particular contexts and consider what it is that makes a piece of reasoning good or bad: What makes one claim follow from another? People disagree about all sorts of things, but are there some claims and arguments that any rational person must accept? If so, what is special about those claims and arguments? In this unit, you will learn to use formal techniques to prove whether certain kinds of arguments are valid or invalid, and will examine some of the philosophical problems that arise in connection with the methods and assumptions of formal logic. The unit is suitable for those with an interest in the nature and philosophy of logic for its own sake, and for those who want to understand the techniques of formal logic for use in philosophy, or in other areas such as computing, mathematics and linguistics.

Important Academic Dates

Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates

Learning Outcomes

On successful completion of this unit, you will be able to:

  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems
  • Demonstrate commitment to learning through regular engagement

General Assessment Information

Special Consideration

Requests for extensions should be submitted via a Special Consideration request, which is available in the http://ask.mq.edu.au portal. Your request should be accompanied by appropriate documentation, such as a medical certificate. Please see the Special Consideration policy in the list of policies at the end of this document for further details.

Read the policy closely as your request may be turned down if you have not followed procedure, or if you have not submitted a request in a timely manner.

Late Submission Penalty

Unless a Special Consideration request has been submitted and approved, (a) a penalty for lateness will apply – two (2) marks out of 100 will be deducted per day for assignments submitted after the due date – and (b) no assignment will be accepted more than seven (7) days (incl. weekends) after the original submission deadline. No late submissions will be accepted for timed assessments – e.g. quizzes, online tests.

Academic Honesty

In Philosophy, academic honesty is taken very seriously. Misrepresenting someone else's work as your own may be grounds for referral to the Faculty Disciplinary Committee. If you have questions about how to properly cite work or how to credit sources, please talk to one of the teaching staff and see also Academic Integrity Policy (see the Policies and Procedures section below).

Your assessments in this units are individual assessments, so the work you submit must be your own work. You may not work on the assignments with other students. 

For information about extensions, late penalties and special consideration, see Policies and Procedures section below.

Any assessment problems should be discussed with the convenor as soon as they arise.

 

Rationale for unit assessment structure

Assessment is spread through the unit in such a way that no task is too heavily weighted, and you will always receive feedback on one assessment before having to do the next. Any questions about feedback should be discussed with the convenor as soon as possible. 

 

Assessment Tasks

Name Weighting Hurdle Due
Online quiz 1 5% No 11.59pm, Sun 18/8 (Wk3)
Take-home task 1 10% No In Wk 5 tuts (29/8&30/8)
In-class test 30% No Thursday 12/9 or Friday 13/9
Online quiz 2 5% No 11.59pm, Sun 20/10 (Wk10)
Take-home task 2 25% No In Wk 11 tuts (24 or 25/10)
Online quiz 3 15% No 11.59pm Sun 10/11 (Wk13)
Participation 10% No Weeks 1-11

Online quiz 1

Due: 11.59pm, Sun 18/8 (Wk3)
Weighting: 5%

Online quiz 1 is available from 9am Monday August 12 until 11.59pm on Sunday August 18 (week 3). It consists of five multiple choice questions, and you will have 20 minutes to complete it. Further instructions and a sample quiz will be made available through iLearn.

The quiz covers material from weeks 1 and 2, and is designed to give you early feedback on your progress in the unit. 

Criterion for assessment: understanding of content from first two weeks, as demonstrated by correct choice of answer in multiple choice quiz.

See the General Assessment Information section for information about Special Consideration.

 

 
On successful completion you will be able to:
  • Translate between English and the language of propositional logic
  • Explain and apply fundamental logical concepts

Take-home task 1

Due: In Wk 5 tuts (29/8&30/8)
Weighting: 10%

A short exercise based on material from the first four weeks.

The exercise will be made available via iLearn on the day of your tutorial in week 4. It is to be submitted as a hard copy at the beginning of your tutorial in week 5. It will be returned in your tutorial in week 6. Anyone who will not be in the tutorial in week 5 must make arrangements to submit the exercise directly to Jenny before the tutorial time.

Criterion for assessment: Demonstrated understanding of logical concepts and methods from weeks 1-4.

See the General Assessment Information section for information about Special Consideration and penalties for lateness.
On successful completion you will be able to:
  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Explain and apply fundamental logical concepts

In-class test

Due: Thursday 12/9 or Friday 13/9
Weighting: 30%

An in-class test for all internal students will be held in your tutorial in week 7 (12/9 or 13/9). It will be a 50 minute test, covering material from weeks 1-6. The lecture in week 7 will be used for test revision and preparation.

The test is open book. Permitted resources will be discussed in lectures and confirmed in iLearn by week 5. 

In-class test 'safety net'

Any student who makes a serious attempt at the in-class test but receives a mark under 50% for it, will be given the opportunity to complete some additional work as determined by the convenor, and sit a supplementary test on a Pass/Fail basis (ie for a maximum mark of 50%) at a time to be negotiated with Jenny, no later than the end of week 9. No extensions of time will be given. This opportunity is only available for the in-class test, and is intended to help ensure that all students meet the learning outcomes for the first part of the course required for success in the second half. 

Criterion for assessment: Demonstrated understanding of logical concepts and methods from weeks 1-6.

See the General Assessment Information section for information about Special Consideration.
On successful completion you will be able to:
  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Online quiz 2

Due: 11.59pm, Sun 20/10 (Wk10)
Weighting: 5%

Online quiz 2 is available from 9am Monday October 14 until 11.59pm on Sunday October 20 (week 10). It consists of five multiple choice questions, covering material from weeks 8 and 9, and you will have 20 minutes to complete it. Further instructions will be given through iLearn.

Criterion for assessment: understanding of content from weeks 8 and 9, as demonstrated by correct choice of answers in multiple choice quiz.

See the General Assessment Information section for information about Special Consideration.
On successful completion you will be able to:
  • Translate between English and the language of predicate logic.
  • Explain and apply fundamental logical concepts

Take-home task 2

Due: In Wk 11 tuts (24 or 25/10)
Weighting: 25%

A take-home exercise based on material from weeks 8-10. 

The take-home task will be made available via iLearn on the day of your tutorial in Week 9.  It is due at the beginning of your tutorial in week 11. It will be returned in the week 12 lecture. Anyone who will not be in the tutorial in week 11 must make arrangements to submit the exercise directly to Jenny before the tutorial time.

Criterion for assessment: Demonstrated understanding of logical concepts and methods from weeks 8-10.

See the General Assessment Information section for information about Special Consideration and penalties for lateness.
On successful completion you will be able to:
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts

Online quiz 3

Due: 11.59pm Sun 10/11 (Wk13)
Weighting: 15%

The final online quiz will cover material from the second half of the unit, with a focus on weeks 11-12. It will be available from 9am Monday to 11.59pm Sunday of week 13 (10/11).

It will consist of five multiple-choice questions and three short-answer questions (requiring one-paragraph answers). This is a timed quiz, and you will have one hour to complete it. A sample will be made available via iLearn. 

Criterion for assessment: understanding of content from second half of the unit, with a focus on weeks 11-13, as demonstrated by correct choice of answers in multiple choice questions; and understanding and clarity in answers to short answer questions.

See the General Assessment Information section for information about Special Consideration.
On successful completion you will be able to:
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Participation

Due: Weeks 1-11
Weighting: 10%

Participation is an essential part of this unit, since you will be developing a set of skills that are formed through practice. You will therefore be assessed on your level of engagement with the content throughout the unit.

Internal students will be assessed on participation in weekly tutorials (weeks 1-6 and 8-11). This involves coming prepared, engaging in class discussions, asking and answering questions etc. Your mark for participation will depend on your level of engagement, rather than on how many answers you get right. Asking questions is as good a demonstration of engagement as answering them.
On successful completion you will be able to:
  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems
  • Demonstrate commitment to learning through regular engagement

Delivery and Resources

 CLASSES

Internal students will attend one two-hour lecture and one tutorial each week. The tutorials for each week follow on directly from the lectures, so we will be discussing each week's lecture topics in the same week's tutorials. Tutorials begin in week 1. There are no tutorials  in weeks 12 and 13. Jenny Duke-Yonge is the lecturer and tutor for this unit.

The timetable for this unit can be found at https://timetables.mq.edu.au. You should check the timetable prior to the start of the Session for any updates.

 

You are expected to have attended the lecture or watched it online before you come to your tutorial. If you are unable to attend the lecture on a regular basis, you should:

  1.  Consider enrolling as an online student, or
  2. Enrol in a tutorial on Friday, to give you time to catch up on the iLectures before coming to the tutorial, and ensure that you do so. 

 

REQUIRED TEXT

The textbook for the unit is Logic: an introduction by Greg Restall. You can download it from the library, by following the Leganto link from iLearn. You can purchase the hard copy of the book if you prefer. 

 

UNIT WEBPAGE AND TECHNOLOGY USED AND REQUIRED

This unit has an online presence. Login is via: https://ilearn.mq.edu.au/ Students are required to have regular access to a computer and the internet. Mobile devices alone are not sufficient. 

- For technical support go to: http://mq.edu.au/about_us/offices_and_units/informatics/help - For student quick guides on the use of iLearn go to: http://mq.edu.au/iLearn/student_info/guides.htm

Unit Schedule

 

Week

  

Reading

 

(Essential readings listed below are from the textbook, which can be downloaded via Leganto.

Some supplementary readings will also be available during semester)
 

         Formal propositional logic

  

Week 1

1/8

Introduction; Propositions and Arguments

 

  Restall, Chapter 1

Week 2

8/8

 Translation: Connectives and argument forms  Restall, Chapter 2

Week 3

15/8

Truth tables

First online quiz this week

  Restall, Chapter 3

Week 4

22/8

Trees

  Restall, Chapter 4
 

         Problems in the Philosophy of Logic (1)

  

Week 5

29/8

 

 Vagueness and bivalence

Take-home task 1 due this week in tutorials

 Restall, Chapters 5

Week 6

5/9

 Conditionality Restall, Chapter 6

Week 7

12/9

Revision (lecture); Test (tutorial)

 

  
 

                     Midsemester break 

  
 

          Formal predicate logic

  

Week 8

3/10

 

Introduction to predicate logic: predicates, names and quantifiers

 Restall, Chapter 8

Week 9

10/10

Trees for predicate logic

 

 Restall, Chapter 10

Week 10

17/10

Trees for predicate logic

Second online quiz this week

  Restall, Chapter 11 (excluding 'Functions')

 

Problems in the Philosophy of Logic (2)

  

Week 11

24/10

Definite Descriptions ; Non-existence

 Second take-home task due this week in tutorials		 Restall, Chapters 12 and 13

Week 12

31/10

What is a predicate? What is logic

No tutorials this week

 Restall, Chapters 14 and 15

Week 13

No lectures or tutorials

Third online quiz this week

 

Learning and Teaching Activities

Lectures

Internal students attend one two-hour lecture each week. These cover the required content for each week, but are also interactive, providing a forum for skills practice and discussion. Online students will watch the lectures online, and should do the activities set in class while doing so.

Tutorials

Students attend one tutorial each week. In tutorials, we will go through exercises from the text and discuss anything that students might be having trouble with. Some weeks involve more philosophical reflection on the course material. Active participation is assessed.

Reading and exercises

Each week, there will be reading set from the textbook, with occasional supplementary readings. You can do this either before or after the lectures: whichever you find works best for you. There are exercises at the end of each chapter, some of which we will go through in tuts, but any we don't get through should be attempted for extra practice. Exercise solutions will be posted online at the end of each week.

Online resources

The website will contain lecture slides, lecture recordings, and a discussion forum which you are encouraged to use. Additional resources will be posted online for you to make use of as you wish. This year, these will include further revision materials to assist students who need them, but also advanced materials for students who are interested in going beyond the required material.

Policies and Procedures

Macquarie University policies and procedures are accessible from Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central). Students should be aware of the following policies in particular with regard to Learning and Teaching:

Undergraduate students seeking more policy resources can visit the Student Policy Gateway (https://students.mq.edu.au/support/study/student-policy-gateway). It is your one-stop-shop for the key policies you need to know about throughout your undergraduate student journey.

If you would like to see all the policies relevant to Learning and Teaching visit Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central).

Student Code of Conduct

Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/study/getting-started/student-conduct​

Results

Results published on platform other than eStudent, (eg. iLearn, Coursera etc.) or released directly by your Unit Convenor, are not confirmed as they are subject to final approval by the University. Once approved, final results will be sent to your student email address and will be made available in eStudent. For more information visit ask.mq.edu.au or if you are a Global MBA student contact globalmba.support@mq.edu.au

Student Support

Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/

Learning Skills

Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.

Student Services and Support

Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.

Student Enquiries

For all student enquiries, visit Student Connect at ask.mq.edu.au

If you are a Global MBA student contact globalmba.support@mq.edu.au

IT Help

For help with University computer systems and technology, visit http://www.mq.edu.au/about_us/offices_and_units/information_technology/help/. 

When using the University's IT, you must adhere to the Acceptable Use of IT Resources Policy. The policy applies to all who connect to the MQ network including students.

Graduate Capabilities

Creative and Innovative

Our graduates will also be capable of creative thinking and of creating knowledge. They will be imaginative and open to experience and capable of innovation at work and in the community. We want them to be engaged in applying their critical, creative thinking.

This graduate capability is supported by:

Learning outcome

  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Assessment tasks

  • In-class test
  • Take-home task 2
  • Online quiz 3
  • Participation

Capable of Professional and Personal Judgement and Initiative

We want our graduates to have emotional intelligence and sound interpersonal skills and to demonstrate discernment and common sense in their professional and personal judgement. They will exercise initiative as needed. They will be capable of risk assessment, and be able to handle ambiguity and complexity, enabling them to be adaptable in diverse and changing environments.

This graduate capability is supported by:

Learning outcome

  • Explain and apply fundamental logical concepts

Assessment task

  • Participation

Commitment to Continuous Learning

Our graduates will have enquiring minds and a literate curiosity which will lead them to pursue knowledge for its own sake. They will continue to pursue learning in their careers and as they participate in the world. They will be capable of reflecting on their experiences and relationships with others and the environment, learning from them, and growing - personally, professionally and socially.

This graduate capability is supported by:

Learning outcomes

  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems
  • Demonstrate commitment to learning through regular engagement

Assessment tasks

  • In-class test
  • Online quiz 3
  • Participation

Discipline Specific Knowledge and Skills

Our graduates will take with them the intellectual development, depth and breadth of knowledge, scholarly understanding, and specific subject content in their chosen fields to make them competent and confident in their subject or profession. They will be able to demonstrate, where relevant, professional technical competence and meet professional standards. They will be able to articulate the structure of knowledge of their discipline, be able to adapt discipline-specific knowledge to novel situations, and be able to contribute from their discipline to inter-disciplinary solutions to problems.

This graduate capability is supported by:

Learning outcomes

  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Assessment tasks

  • Online quiz 1
  • Take-home task 1
  • In-class test
  • Online quiz 2
  • Take-home task 2
  • Online quiz 3
  • Participation

Critical, Analytical and Integrative Thinking

We want our graduates to be capable of reasoning, questioning and analysing, and to integrate and synthesise learning and knowledge from a range of sources and environments; to be able to critique constraints, assumptions and limitations; to be able to think independently and systemically in relation to scholarly activity, in the workplace, and in the world. We want them to have a level of scientific and information technology literacy.

This graduate capability is supported by:

Learning outcomes

  • Translate between English and the language of propositional logic
  • Translate between English and the language of predicate logic.
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Assessment tasks

  • Take-home task 1
  • In-class test
  • Take-home task 2
  • Online quiz 3
  • Participation

Problem Solving and Research Capability

Our graduates should be capable of researching; of analysing, and interpreting and assessing data and information in various forms; of drawing connections across fields of knowledge; and they should be able to relate their knowledge to complex situations at work or in the world, in order to diagnose and solve problems. We want them to have the confidence to take the initiative in doing so, within an awareness of their own limitations.

This graduate capability is supported by:

Learning outcomes

  • Translate between English and the language of propositional logic
  • Use truth tables and variants to test formulas and arguments in propositional logic
  • Use trees to test formulas and arguments in propositional logic
  • Translate between English and the language of predicate logic.
  • Use trees to test formulas and arguments in predicate logic
  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Assessment tasks

  • Take-home task 1
  • In-class test
  • Take-home task 2
  • Online quiz 3
  • Participation

Effective Communication

We want to develop in our students the ability to communicate and convey their views in forms effective with different audiences. We want our graduates to take with them the capability to read, listen, question, gather and evaluate information resources in a variety of formats, assess, write clearly, speak effectively, and to use visual communication and communication technologies as appropriate.

This graduate capability is supported by:

Learning outcomes

  • Explain and apply fundamental logical concepts
  • Explain and engage with some central problems in the philosophy of logic arising out of the formal methods studied, and some of the main responses to those problems

Assessment tasks

  • Take-home task 1
  • In-class test
  • Take-home task 2
  • Online quiz 3
  • Participation