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1. Methods of Legal Argument A course in Logic
Prof. Dr. John JA Burke
2. Introduction to Course Required Text
Copi & Cohen, Introduction to Logic, Pearson/Prentice Hall, 13th ed.
Materials
http://www.eilfe.com
Office
3rd Floor Library
Office Tel 2577
Hours
By appointment
3. Subjects of Study Argument – Basic Concepts
Informal Logic – Fallacies
Deduction
Induction
Analogical Reasoning
Causal Reasoning
Science and Probability
4. Methodology Read Text
Complete exercises after text material
Diagram and analyse arguments
Read cases and evaluate persuasiveness of reasoning
Student partipcation
5. Switch What is logic
6. Logic The study of the methods and principles to distinguish correct from incorrect reasoning
Main Question
Does the conclusion reached follow from the premises assumed
Logic is used to support assertions
7. Propositions and Arguments Propositions assert that something is the case
Every proposition is either true or false
Though its truth value may be unknown
Example
There is life on some other planet in our galaxy
Is this a proposition
8. Not Propositions Questions
Commands
Exclamations
Why
Because they are neither true nor false
The term “statement” is used as synonym for “proposition”
9. Types of Propositions Simple
Compound
A proposition containing other propositions
Example
The Amazon Basin produces roughly 20% of the Earth’s oxygen, creates much of its own rainfall, and harbours many unknown species
Disjunctive
Either/or statements
No single truth is asserted
On or the other must be true
Hypothetical/Conditional
If, then statements
Example: “If God did not exist, it would be necessary to invent him”
10. Arguments Constructed from propositions
Propositions are building blocks
An argument affirms one proposition on the basis of other propositions
This activity requires an inference
An inference is a process tying together propositions
Logicians analyse clusters of propositions to see if they constitute a correct argument
11. What is an argument An argument is a cluster of propositions related to one another in such a way that one proposition – the Conclusion – follows from the other propositions – the Premises
There are many kinds of arguments
Politics
Ethics
Science
Law
Logicians are concerned about:
Form
Quality
12. Simplest One Premise/One Conclusion
Example
“No one was present when life first appeared on earth. Therefore any statement about life’s origins should be considered as theory, not fact”.
What is Premise; What is Conclusion
What would a scientist have to say about this proposition?
13. What is Premise, Conclusion “Every law is an evil, for every law is an infraction of liberty”. Jeremy Bentham
“I do not want people to be very agreeable, that would save me the trouble of liking them”. Jane Austen
“If I did not want people to be agreeable, that would save me the trouble of liking them”.
14. Switch Validity and Truth
15. Deductive Arguments We must distinguish between
Validity/Invalidity of an Argument
Truth/Falsity of Propositions
Deductive argument
One single conclusion
Set of premises
Deductive argument is valid if
Conclusion follows with logical necessity from premises [Relation is the Key]
16. Concept of Truth Does not apply to arguments
Propositions within the argument may be true/false
But the argument is neither true nor false
Heart of deductive logic
Study of relations between true/false propositions and valid/invalid arguments
An argument may be valid even if one of its propositions is false or is in dispute
17. Dred Scott Decision Supreme Court in 19th Century rules that slaves who had escaped to the North must be returned to their owners in the South
The Syllogism
Nothing in the Constitution or laws of any State can destroy a right distinctly and expressly affirmed in the Constitution of the United States
The right od property in a slave is distinctly and expressly affirmed in the constitution of the United States
Therefore, nothing in the Constitution or laws of any State can destroy the property in a slave
Abraham Lincoln attacked the reasoning of the Supreme Court
How?
Has the conclusion been established?
Is the argument valid or invalid
18. Griswold v. Connecticut Read the case
What are the premises
What is the conclusion
Is the argument valid/invalid
Are the propositions true/false
19. Illustrations of Arguments I All mammals have lungs
All whales are mammals
Therefore all whales have lungs
Question
Are premises true?
Is conclusion true
Is argument valid?
20. Illustration II All 4-legged creatures have wings
All spiders have 4 legs
Therefore all spiders have wings
Question
Are premises true?
Is conclusion true
Is argument valid?
21. Illustration III If I owned all Gold in Fort Knox, I would be wealthy
I do not own all Gold in Fort Knox
Therefore I am not wealthy
Question
Are premises true?
Is conclusion true
Is argument valid?
22. Illustration IV If Bill Gates owned all Gold in Fort Knox, then Bill Gates would be wealthy
Bill Gates does not own all Gold in Fort Knox
Therefore Bill Gates is not wealthy
Question
Are premises true?
Is conclusion true
Is argument valid?
23. Illustration V All fish are mammals
All whales are fish
Therefore all whales are mammals
Question
Are premises true?
Is conclusion true
Is argument valid?
24. Illustration VI All mammals have wings
All whales have wings
Therefore all whales are mammals
Question
Are premises true?
Is conclusion true
Is argument valid?
25. Illustration VII All mammals have wings
All whales have wings
Therefore all mammals are whales
Question
Are premises true?
Is conclusion true
Is argument valid?
26. Invalid Arguments