Phil 2520 Philosophy of Logic

 

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Course description

This course will cover both topics in formal logic and related philosophical issues concerning logic. Logical systems studied will include classical logic, modal logic, conditional logic, intuitionist logic, many valued logic, and relevant logic. Philosophical issues addressed will include whether, and in what sense, the various logical systems studied are correct, as well as the nature of logical consequence, indicative conditionals, subjunctive conditionals, truth, possible worlds and impossible worlds.

 

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Instructor

 

Dan Marshall

  Office: 10.08 Run Run Shaw Building

  Email: danm@hku.hk

  Office hour(s): After classes, and by appointment

 

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Course website

 

To find the course website, go to the philosophy department website and click on courses.

 

The course website will contain:

i)     Seminar handouts,

ii)    Readings,

iii)   Assignments,

iv)   Essay questions,

v)    Important dates

vi)   Other important information.

 

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Mode of delivery

 

Seminars:

Tuesdays 1.30pm-3.20pm, CPD 2.14

 

There will be 12 two hour seminars during this course. 

 

 

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Required Text

 

All students must have a copy of Graham Priest’s textbook `An Introduction to Non-Classical Logic’.

 

All other required reading will be put on the course website.

 

 

 

 

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Provisional Course Schedule

 

 

Date of Seminar

Provisional Topics

Required Reading

18 September

What is logic?

Sider, What is Logic?

pp. 1-11

25 September

Classical Logic

Priest, Ch 1

2 October

Conditionals

Grice, Logic and Conversation

9 September

Basic Modal Logic

Priest, Ch 2

16 October

Normal Modal Logics

Priest, Ch 3

23 October

No seminar (Reading week)

 

30 October

Non-normal Modal Logics; Strict Conditionals

Priest, Ch 4

6 November

Conditional Logics

Priest, Ch 5

13 November

Intuitionist Logic

Priest, Ch 6

20 November

Many Valued Logics

Priest, Ch 7

27 November

First Degree Entailment

Priest, Ch 8

4 December

Logic with Gaps, Gluts and Worlds

Priest, Ch 9

11 December

Relevant Logics

Priest, Ch 10

 

 

The details of the above course schedule may change. Any changes will be announced in seminars and on seminar handouts available on the course website.

 

In addition to the above seminars, there may be one or two further classes organised devoted to problem solving exercises and revision. The details regarding any such classes will be announced in seminars.

 

 

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Course objectives

 

This course aims to introduce some of the major systems of classical and non-classical logic and some of the philosophical issues these system raise.

 

It also seeks to provide training in:

 

i)     Critical thinking and problem solving,

ii)    Argumentative techniques in mathematical logic

iii)   Interpretation and evaluation of other people's views, and

iv)   Spoken and written expression and argumentation.

 

 

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Student Outcomes

 

By the end of this course, students should be able to:

 

i)     Understand and describe a number of important logical systems in classical and non-classical logic,

ii)    Solve problems in mathematical logic regarding these logical systems,

iii)   Understand and describe some of the important philosophical issues raised by these systems of logic,

iv)   Critically examine a range of views and arguments, and formulate responses to them, and

v)    Demonstrate critical argumentative and problem-solving skills in both verbal discussions and in a written essay.

 

 

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Assessment

 

Assignments

 

There will be three assignments consisting of logical problem sets.
Each of these assignments will contribute 10% towards your final mark.

 

Exam

 

There will be a two hour exam consisting of logical problem sets. The date of the exam will be announced in seminars. The exam will contribute 30% towards your final mark.

 

Essay

 

There will be a 1250 word essay on a philosophical issue raised by the logical systems studied in the course. The essay will contribute 25% towards your final mark.

 

Class participation

 

Participation in seminars will contribute 15% towards your final mark

 

The dates of the assignments, exam and essay will all be announced in seminars and on the course website.