Introduction to Logic

 

Logic is the most specialized branch of philosophy. It is sometimes defined as the science of valid inference. This science, which was founded by Aristotle in the fourth century B.C.E., is a purely formal study. That is to say, it wants to know what forms of argumentation are valid, and it does not concern itself with the truth status of the arguments’ conclusions or with their supporting statements. Look, for example, at the argument:

All men are mortal.

Socrates is a man.

Therefore, Socrates is mortal.

This is a valid argument. That means that the first two statements (the argument’s premises) logically entail the third statement (the argument’s conclusion). The argument would still be valid even if it turned out the first or second premise of the argument was false. Even if we discovered that some men are immortal and that Socrates was actually a fish, the argument would be valid purely because of its form, which is the following:

All As are Bs.

S is an A.

Therefore, S is a B.

This brief summary has not done justice to the breath and depth of the influence that logic has had on contemporary philosophy. There were great advancements in the field in the nineteenth century, and in the first decades of the twentieth century a lexicon of symbols (signs) had been developed that gave logic a precision it had formerly lacked. Once the relation between logic and mathematics had been carefully studied, logic or symbolic logic, as its new form is called, became almost a branch of calculus and provided a powerful tool of analysis and criticism that finds a home in most other fields of philosophy.

 

Handouts

 

Glossary

 

Uses of Language

 

Definition

 

Seven Steps in Argument Analysis

 

Validity and Strength

 

Instructions for Fallacy Notebook

 

Critical Thinking Format/Study Sheet

 

Induction Deduction and the Scientific Method

 

 Introduction to Philosophy and Logic:
 

Western View for the Happy/Good Life from the Ancient Greeks:

(1) Moderation in all things. (2) The Unexamined Life is not Worth Living.

(3) Know Yourself. (4) Ballance/Harmony

 

Eastern View for Happiness: (1) Moderation (the middle way), (2) Give up your ignorant wants.

(3) Meditation. (4) Ballance/Harmony

  

Philosophy deals with questions.

 But not these kinds of questions:

 1+1=?; Where is India?;

 What is the effect of low level radiation on the photosynthesis of plants?;

because they are fact based questions.
 

These are Philosophical Questions:


Is Donald Trump a Good Man? What is the Best Way to Live?

 What is Truth? What is Beauty? What is Good?

 

Philosophical questions are value based questions. They are not fact based questions. Philosophical questions are baffling/puzzling by their nature. They are baffling because we do not know what criteria to apply in answering the questions or where to search for the standards to apply to a philosophical question.

Where do standards/Values/Duties/Ideals come from?

Culture, religion, law, family, peers, education, media, and ultimately from personal judgment. (See the film: The Insider)

In answering a philosophical question a reasonable, defensible argument is needed for your position. Most philosophical discussions are about the criteria to use in answering a question rather than the conclusion reached.  Any answer to any philosophical question has many implications to many areas of human concern. What is Human nature? Good? Bad? Neutral? What are the implications of each answer?

This class is all about the words we use and how we use them.
 

Words that relate to Logic: (visual/analytical tool)

Categories/Reasoning/Critical Thinking/Analysis

Language/Understanding/Comprehension

Induction/Deduction/Fallacy
 

Any other words that relate to logic. When you can define the words/ideas that relate to logic, then you can write an introduction and provisional definition of logic. Definition and knowledge are intimately linked in all claims to knowledge and understanding.
 

To know means to be able to define, state the theory of, explain it, and show how that knowledge relates to all other knowledge. Also, knowers have incorporated that knowledge into their lives in ways that has transformed them. Remember that definition and knowledge are intimately linked.

 

Words that relate to Philosophy: (visual/analytical tool)

Art/Religion/Ethics/Morals/Science/History

Business/Education/Way of Life/Questions

Being/Existence/Knowledge/Art

Any other words that relate to philosophy. When you can define all the words/ideas that relate to philosophy then you can write a provisional definition/introduction to philosophy.

In Philosophy, Science and in Logic particularly we are trying to be more Rational and move away from a world of Myth. In Logic and Academic/Scientific Language you attempt to use language in a more narrow/neutral (objective) way and attempt to reduce the emotion.

But Myth has its purposes: to integrate the human into Nature; to impregnate belief systems, to teach indirectly the role of culture and the development from child to an adult. (Dependency, Adulthood, Maturity, and The Exit) "Myth is to raise consciousness to a spiritual level." Joseph Campbell

 

 

Bibliography

 

Essays in Experimental Logic

by John Dewey, 1916

 

How We Think:

A Restatement of the Relation of

Reflective Thinking to the Educational Process

by John Dewey, 1933

 

Logic:

The Theory of Inquiry

by John Dewey, 1938

 

Mathematical Logic

by Willard Van Orman Quine, 1940/51

 

Elementary Logic

Revised Edition

by Willard Van Orman Quine, 1941/1980

 

Unpopular Essays

12 Adventures in Argument

by Bertrand Russell, 1950/2009

See Chapter 2: Philosophy for Laymen

 

From a Logical Point of View

by W. V. Quine, 1953/80

 

The Web of Belief

by W. V. Quine and J. S. Ullian, 1970

 

A Preface to Logic

by Morris Raphael Cohen, 1956

 

BEING LOGICAL:

A Guide to GOOD THINKING

by D. Q. McInerny,

(See: PART ONE - Preparing the Mind for Logic)

1. Be Attentive

2. Get the Facts Straight

3. Ideas and the Objects of Ideas

4. Be Mindful of the Origins of Ideas

5. Match Ideas to Facts

6. Match Words to Ideas

7. Effective Communication

8. Avoid Vague and Ambiguous Language

9. Avoid Evasive Language

10. Truth

 

Logic and Language

edited with An Introduction

by Antony Flew, 1965

 

Language and Thinking:

A Philosophical Introduction

by Hubert G. Alexander, 1967

 

Formal Logic:

Its Scope and Limits

by Richard C. Jeffrey, 1967

 

Fallacies

by C. L. Hamblin, 1970

 

Reasoning

by Michael Scriven, 1976

 

An Introduction to Reasoning

by Stephen Toulmin, Richard Rieke and Allan Janik, 1984

 

Practical Reasoning

by Larry Wright, 1989

 

Dewey's New Logic:

A Reply to Russell

by Tom Burke, 1994

 

Just The Arguments100 of the Most Important Arguments in Western Philosophy

Edited by Michael Bruce and Steven Barbone, 2011

 

Textbooks

 

Readings in Classical Rhetoric

by Thomas W. Benson and Michael H. Prosser, 1988

 

Formal Logic:

A Model of English

by Ronald Rubin and Charles Young, 1989

 

 Beyond Feelings:

A Guide to Critical Thinking

by Vincent Ryan Ruggiero, 1995

 

Advocacy and Opposition:

An Introduction to Argumentation

 by Karyn C. Rybacki and Donald J. Rybacki, 1996

 

A Rulebook for Arguments

by Anthony Weston, 2000

 

The Trivium:

The Liberal Arts of Logic, Grammar, and Rhetoric

Understanding the Nature and Function of Language

by Sister Miriam Joseph, C.S.C., PH.D., 2002

 

Attacking Faulty Reasoning:

A Practical Guide to Fallacy-Free Arguments

by T. Edward Damer, 2005

 

Do You Think

What You Think

You Think?

By Julian Baggini and Jeremy Stangoom, 2007

 

Logic: An Introduction

by Robert Paul Churchill, 2008

 

Introduction to Logic

by Irving M. Copi and Carl Cohen, 2008

 

A Concise Introduction to Logic

by Patrick J. Hurley, 2012

 

Creative and Critical Thinking

by Moore/McCann/McCann, 1974

 

Patterns of Problem Solving

by Moshe F. Rubinstein, 1975

 

Analytic Philosophy

 

 Readings in Philosophical Analysis

by Herbert Feigl and Wilfrid Sellers, 1949

 

The Age of Analysis

By Morton White, 1955

 

Philosophy and Linguistic Analysis

by Maxwell John Charlesworth, 1961

 

Classics of Analytic Philosophy

Edited by Robert R. Ammerman, 1965

(Has A Short History of Analytic Philosophy)

 

Readings in Introductory Philosophical Analysis

by John Hospers, 1968

 

Basic Philosophical Analysis

by Charles L. Reid, 1971

 

 

 Differences between Inductive and  Deductive Reasoning   

 

 

Inductive

 

 

Deductive

 

  

   Nature

If premises are true & argument is  strong, conclusion is probably cogent.

 

If premises are true & argument is valid, conclusion is sound.

  

   Characteristics:

   Indicator Words

probable, improbable

plausible, implausible

likely, unlikely

reasonable to conclude

 

necessarily

certainly

absolutely

definitively

  

   Nature of

   Inferential Links

Premises provide only probabilistic support for conclusion.

If premises are true, conclusion is probably true.

 

Premises provide necessary support  for conclusion.

If premises are true, then conclusion cannot be false.

 

   Character/Form  

   of  Argument

Prediction based on known past or present event.

Analogy: similarity between items/affairs/events.

Inductive generalization/statistics  (extrapolating sample data to general population).

Based upon presumed authority/witness.

Based on known significance of signs/symbols.

Causal inference (cause & effect).

 

Based on mathematics.

From definitions.

(what is Given)

Categorical syllogism

(all, none, some)

Hypothetical syllogism

(if…; then...; if...then; therefore…)

Disjunctive syllogism

(either…or…)

 

   Uses

Discovery of scientific laws.

Application of known scientific laws (with certain reservations).

Geometric proofs.

   Traditional 

   Definition

 

Argument proceeds from particular to general.

 

Argument proceeds from general to particular.

 

$ The Logic of Money Management $

 
 
.

$ Three Rules for Money Management $

 

1) Whenever you receive pay for work always save a percent of your pay. (8-13%)

2) Never purchase impulsively. If you need or want the item, wait a day or so and then return to purchase the item.

3) Never pay with credit cards! (cut up your cards; maybe put one away for emergencies. Always use cash, that way you know you are spending money.

(Count it out!)

If you follow the three rules, then you will always have $ money $.

 

 

 

 

 

 

 

 

 

Last Updated: 10/19/22