This course is an introduction to the basic concepts, principles, and methods of argument analysis and evaluation, including deductive and inductive reasoning, validity, soundness, truth tables, Aristotelian logic, Venn diagrams, indirect deductive proofs, and principles of induction.

5. Placement Tests Required:

6. Prerequisite Courses:

PHIL 1460 - Logic

There are no prerequisites for this course.

9. Co-requisite Courses:

PHIL 1460 - Logic

There are no corequisites for this course.

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

Name of Institution

Course Number and Title

Credits

Lake Superior College

PHIL 1125 Logic

3

Hibbing Community College

PHIL 1250 Logic

3

III. Course Purpose

MN Transfer Curriculum (General Education) Courses - This course fulfills the following goal area(s) of the MN Transfer Curriculum:

Goal 2 – Critical Thinking

Goal 4 – Mathematical/Logical Reasoning

IV. Learning Outcomes

1. College-Wide Outcomes

College-Wide Outcomes/Competencies

Students will be able to:

Demonstrate reading and listening skills

Evidence understanding of content and major ideas conveyed in assigned readings and lecture.

Apply abstract ideas to concrete situations

Accurately translate argumentative passages into symbolic notation and objectively prove validity or invalidity of reasoning.

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

Expected Outcome

MnTC Goal Area

Gather factual information and apply it to a given problem in a manner that is relevant, clear, comprehensive, and conscious of possible bias in the information selected.

2

Recognize and articulate the value assumptions which underlie and affect decisions, interpretations, analyses, and evaluations made by ourselves and others.

2

Analyze the logical connections among the facts, goals, and implicit assumptions relevant to a problem or claim; generate and evaluate implications that follow from them.

2

Illustrate historical and contemporary applications of mathematics/logical systems.

4

Clearly express mathematical/logical ideas in writing.

4

Explain what constitutes a valid mathematical/logical argument (proof).

4

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

1. Intro: Basic Logical Concepts

What is logic?

Claims, the basic unit

Arguments, premises and conclusions

Arguments vs. explanations

Deduction and validity

Induction and probability

Analyzing arguments

2. Categorical Propositions

Categorical propositions and classes

Symbolism and Venn diagrams

Distribution

Existential import

Aristotelian square of opposition and immediate inference

Boolean square of opposition

Logical equivalence and immediate inference

3. Categorical syllogisms

Standard form syllogistic argument

Major, minor and middle terms, mood, figure

Venn diagram technique for testing syllogisms

Rules and fallacies

4. Arguments in ordinary language

Reducing the number of terms in syllogistic arguments

Translating categorical propositions

Uniform translations

Enthymemes

5. Symbolic logic

Symbolese

Basic propositional forms

Truth tables and the analysis of compound propositions

Tautologous, contradictory and Contingent forms

Validity testing with truth tables

Incomplete and reverse truth tables

6. The Method of Natural Deduction

Natural deduction vs. truth tables

Formal proofs

Rules of replacement

Conditional proof

Indirect proof

7. Induction

Analogy, legal and moral reasoning

Causality and Mill’s method

Probability

Hypothetical/scientific reasoning

I. General Information

1. Course Title:
Logic

2. Course Prefix & Number:
PHIL 1460

3. Course Credits and Contact Hours:

Credits: 3

Lecture Hours: 3

4. Course Description:

This course is an introduction to the basic concepts, principles, and methods of argument analysis and evaluation, including deductive and inductive reasoning, validity, soundness, truth tables, Aristotelian logic, Venn diagrams, indirect deductive proofs, and principles of induction.

5. Placement Tests Required:

6. Prerequisite Courses:

PHIL 1460 - Logic

There are no prerequisites for this course.

9. Co-requisite Courses:

PHIL 1460 - Logic

There are no corequisites for this course.

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

Name of Institution

Course Number and Title

Credits

Lake Superior College

PHIL 1125 Logic

3

Hibbing Community College

PHIL 1250 Logic

3

III. Course Purpose

2. MN Transfer Curriculum (General Education) Courses - This course fulfills the following goal area(s) of the MN Transfer Curriculum:

Goal 2 – Critical Thinking

Goal 4 – Mathematical/Logical Reasoning

IV. Learning Outcomes

1. College-Wide Outcomes

College-Wide Outcomes/Competencies

Students will be able to:

Demonstrate reading and listening skills

Evidence understanding of content and major ideas conveyed in assigned readings and lecture.

Apply abstract ideas to concrete situations

Accurately translate argumentative passages into symbolic notation and objectively prove validity or invalidity of reasoning.

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

Expected Outcome

MnTC Goal Area

Gather factual information and apply it to a given problem in a manner that is relevant, clear, comprehensive, and conscious of possible bias in the information selected.

2

Recognize and articulate the value assumptions which underlie and affect decisions, interpretations, analyses, and evaluations made by ourselves and others.

2

Analyze the logical connections among the facts, goals, and implicit assumptions relevant to a problem or claim; generate and evaluate implications that follow from them.

2

Illustrate historical and contemporary applications of mathematics/logical systems.

4

Clearly express mathematical/logical ideas in writing.

4

Explain what constitutes a valid mathematical/logical argument (proof).

4

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

1. Intro: Basic Logical Concepts

What is logic?

Claims, the basic unit

Arguments, premises and conclusions

Arguments vs. explanations

Deduction and validity

Induction and probability

Analyzing arguments

2. Categorical Propositions

Categorical propositions and classes

Symbolism and Venn diagrams

Distribution

Existential import

Aristotelian square of opposition and immediate inference

Boolean square of opposition

Logical equivalence and immediate inference

3. Categorical syllogisms

Standard form syllogistic argument

Major, minor and middle terms, mood, figure

Venn diagram technique for testing syllogisms

Rules and fallacies

4. Arguments in ordinary language

Reducing the number of terms in syllogistic arguments

Translating categorical propositions

Uniform translations

Enthymemes

5. Symbolic logic

Symbolese

Basic propositional forms

Truth tables and the analysis of compound propositions