1. Philosophical Arguments
What is an Argument?
What does Monty Python have to say?
A philosophical argument is not a disagreement.
A philosophical argument is not a dispute.
A philosophical argument is not a quarrel.
A philosophical argument is not an opinion.
Philosophical Arguments
A philosophical argument consists of one or more statements set out in support of some other statement.
Premises: the statements set out in support of some other statement.
Conclusion: the statement that other statements are set out to support.

2. Examples of Arguments All human beings are mortal.
Socrates is a human being.
Therefore, Socrates is mortal.
Premises
Conclusion
Scrabble is not exciting,
for Scrabble is safe, and nothing is both safe and exciting.
Batman is not equal to other men,
Although all men are created equal,
because Batman is fictional, and fictional men are not the same as other men.

3. More Examples
Poetry cannot be translated; and, therefore, it is the poets that preserve the languages; for we would not be at the trouble to learn a language if we could have all that is written in it just as well in a translation. But as the beauties of poetry cannot be preserved in any language except that in which it was originally written, we learn the language.
-- Ben Johnson
Poetry cannot be translated.
We would not be at the trouble to learn a language if we could have all that is written in it just as well in a translation.
The beauties of poetry cannot be preserved in any language except that in which it was originally written.
Therefore, it is the poets that preserve the languages.

4. More Examples
It is impossible to make people understand their ignorance; for it requires knowledge to perceive it and therefore he that can perceive it hath it not.
-- Jeremy Taylor
Understanding ignorance requires knowledge to perceive it.
Therefore, he that can perceive ignorance hath it not.
Therefore, it is impossible to make people understand their ignorance.

5. Deductive and Inductive Arguments
Deductive Arguments
Deductive arguments are arguments in which the conclusion is presented as following from the premises with necessity.
Inductive Arguments
Inductive arguments are arguments in which the conclusion is presented as following from the premises with a high degree of probability.

6. Examples Deductive Argument: Inductive Argument:
I own every Dario Argento film.
Suspiria is a Dario Argento film.
Therefore, I own a copy of Suspiria.
Inductive Argument:
Every Keanu Reeves movie ever made has been awful.
The Night Watchman will be a Keanu Reeves movie.
So The Night Watchman will be awful.

7. Logical Validity & Soundness in Deductive Arguments
In constructing and evaluating an argument, we need to consider two things:
Does its conclusion follow necessarily from its premises?
Are its premises true?

8. Logical Validity & Soundness in Deductive Arguments
A deductive argument is valid just in case the truth of its premises would absolutely guarantee the truth of its conclusion.
In other words, it is valid just in case there is no possible way the premises could all be true but the conclusion false.
A deductive argument is sound just in case it is valid and all of its premises are true.
So an argument can only be sound if it is also valid.

9. Evaluating Arguments for Validity & Soundness
All cats chase mice.
Tigers do not chase mice.
Therefore, tigers are not cats.
To be a Canadian citizen, one has to be born in Canada.
Darren was born in Canada.
Therefore, Darren is a Canadian citizen.

10. More Arguments Everyone likes Phil2300. All Phil2300 exams are easy.
Therefore, everyone will receive a high grade in Phil2300.
Christopher is taller than Pierre.
Pierre is taller than Claudia.
Therefore, Christopher is taller than Claudia.
Some tests are multiple choice.
Some exams are multiple choice.
Therefore, some tests are exams.

11. Some Common Fallacies Equivocation
In the fallacy of equivocation, the meaning of a key term shifts during the course of an argument.
Man is the only rational creature.
No woman is a man.
Therefore, no woman is a rational creature.
Any person with a handicap is at a disadvantage.
Raymond has a handicap in golf.
Raymond is at a disadvantage in golf.

12. Some Common Fallacies Circular Arguments
In a circular argument, something (A) is asserted to be true just in case something else (B) is true. But B turns out to be true just in case A is true.
The Bible is the infallible Word of God.
The Bible says that God exists.
Therefore, God exists.

13. Necessary & Sufficient Conditions
Necessary Condition
If A is a necessary condition for B, then if not-A then not-B.
Sleeping is a necessary condition for dreaming.
If you are not sleeping, then you are not dreaming.
Sufficient Condition
If A is a sufficient condition for B, then if A, then B.
Dreaming is a sufficient condition for sleeping.
If you are dreaming, then you are sleeping.