# Summer 2024 - PHIL 110 D100

## Overview

• #### Course Times + Location:

May 6 – Aug 2, 2024: Mon, Wed, 9:30–10:20 a.m.
Burnaby

## Description

#### CALENDAR DESCRIPTION:

An introduction to the theory of deductive reasoning. We consider deductive arguments in philosophy, in everyday life, and in mathematical proofs, and discuss what distinguishes valid inferences from fallacies. The course will cover propositional logic and first-order logic. Open to all students. Quantitative.

#### COURSE DETAILS:

This course is intended to introduce students to the art and science of logical reasoning, i.e., to the crucial but elementary methods needed to construct and assess logically valid arguments. The study of basic logic provides excellent preparation for intellectual work in many other disciplines. Students from all faculties will benefit from learning various methods of sound reasoning—methods that prize precision, clarity, rigor, practice, and patience. Students in this course should expect to develop an enhanced ability to engage in disciplined argument and to write in an organized and focused way.

This course assumes no prior knowledge of logic, and is intended for all students, whether they are planning further study in philosophy or not. We will introduce formal symbolic logic, focusing on argument structure, propositional logic and elementary quantificational logic. Applications to certain fields (such as philosophy, linguistics, computer science, mathematics, etc.) will be considered, if students manifest interest in those topics.

#### COURSE-LEVEL EDUCATIONAL GOALS:

PHIL 110 may be applied towards the Quantitative Requirement.
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General Educational Goals:

- Demonstrate an ability to assess the quality of an argument using formal methods
- Appreciate the general principles of good reasoning
Specific Educational Goals:
- Determine the validity of an argument in terms of its logical form
- Symbolize English arguments using logical notation introduced in the course
- Translate sentences expressed in logical notation into English
- Demonstrate an understanding of basic logical concepts, (such as/including) truth-functions, validity, soundness, deduction and quantification

• Six online homework assignments 15%
• Tutorial participation (grades will be determined by TAs for attendance and involvement in tutorials) 5%
• Midterm #1 25%
• Midterm #2 25%
• Final exam 30%

## Materials

Richard T.W. Arthur (2017). An Introduction to Logic: Using Natural Deduction, Real Arguments, a Little History and Some Humour. 2nd Edition. Broadview Press. 456 pages. ISBN-13: 978-1554813322.