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Argument. Requires premises and conclusion Non-arguments : I don’t like chocolates ; Chocolates are makes you sick; I believe in God
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Argument • Requires premises and conclusion • Non-arguments : I don’t like chocolates; Chocolates are makes you sick; I believe in God • Arguments: Chocolates are sweet- I do not enjoy sweets- Therefore I don’t like chocolates; I believe what my mother says- My mother says that God exists- Thus I believe in God
Valid Arguments • Valid argument- Conclusion entailed from premises [logically follows the premises] • If P then Q exists. Q exists. So P • Premises or conclusion don’t have to be true • Deductive logic
Valid and Invalid Arguments • Jessica is a man- Men have beards-Jessica has a beard • Jessica is a woman- Men are astronauts- Jessica is not an astronaut • Andy is a boy- Boys are mammals-Andy is a mammal • Andy is cute man- Cute babies can be naughty- Thus Andy is a naughty man
Valid and Invalid Arguments • I believe what psychics say- A psychic said that I would die yesterday- I believe I died yesterday • A psychic said that my dog is a ferret- I believe him- I am dumb • White tablecloths are not blue- My table cloth is white- Thus it is not blue • White skirts are not blue-My skirt is not blue- Thus it is white
Sound Arguments • Valid arguments + • True premises • As premises are true, conclusion is always true • If P then Q. Q. So P. P and Q is true, thus sound argument • Sound Argument: Jessica is a girl- Girls are human beings- Jessica is a human being • Unsound Argument: Jessica is a girl- Girls are pretty- Jessica is pretty
Sound and Unsound Arguments • Jessica is a girl- Girls are human beings- Jessica is a human being • Jessica is a girl- Girls are pretty- Jessica is pretty • Cakes are food- Food can be eaten- Cakes can be eaten • Cakes are food- Food is always tasty- Cakes are always tasty
Syllogism • Form of an argument • Proposition is proved or disproved in the conclusion • Major premise is universal, minor premise and conclusion are particulars
Aristotelian Syllogism • 3 categorical propostions Major premise: All men are mortal. Minor premise: All Greeks are men. Conclusion: All Greeks are mortal Men are subject s, Greeks are predicate P and mortals is the middle term
Types of categoricals: • Universal Affirmative All S are P – S a P • Universal Negative- No S are P- S e P • Particular Affirmative- Some S are P- S i P • Particular Negative- Some S are not p- S o P
Forms of syllogism Conclusion is always S-P • 256 forms- 6 fallacies in each categories are valid forms, some of them have an existential fallacy i.e. an empty category
BARBARA All men are mortal. (MaP) All Greeks are men. (SaM) All Greeks are mortal. (SaP)
CAMESTROS All horses have hooves. (PaM) No humans have hooves. (SeM) Some humans are not horses. (SoP)
DARAPTI All squares are rectangles. (MaP) All squares are rhombs. (MaS) Some rhombs are rectangles. (SiP)
DARII All rabbits have fur. (MaP) Some pets are rabbits. (SiM) ∴ Some pets have fur. (SiP)
FALLACIES • Fallacy is an error in argument or reasoning • Formal fallacies can be spotted by invalidty in its syllogistic form. • Fallacies of Accident • Verbal fallacies can be classified as: • Fallacy of false cause • Begging the Question • Red Herring Fallacies • Equivocation • Informal fallacies
FALLACY OF ACCIDENT • Post hoc [post hoc ergo poster hoc]: after this therefore because of this President Jones raised taxes, and then the rate of violent crime went up. Jones is responsible for the rise in crime. • False dichotomy: either 2+2=5 or God exists. God exists, thus 2+2 is not 5
RED HERRING FALLACIES • Going off the tangent Grading this exam on a curve would be the most fair thing to do. After all, classes go more smoothly when the students and the professor are getting along well
RED HERRING FALLACIES • Slippery Slope: slide down the bottom when we stop halfway downhill If I fail English 101, I won't be able to graduate. If I don't graduate, I probably won't be able to get a good job, and I may very well end up doing temp work or flipping burgers for the next year.
RED HERRING FALLACIES • Ad hominem tuquoque [against someone-you too] Failure to act consistently DiaMirza: I believe in ethical treatment of all living beings; I’m a PETA member and I endorse The Body Shop Ms.X: The Body Shop may be vegan but it owned by L’oreal which tests its products on animals, thus you are cruel
RED HERRING FALLACIES • Straw man fallacy: Wimpy version of opponent’s argument and knock it down Person A: Sunny days are good. Person B: If all days were sunny, we'd never have rain, and without rain, we'd have famine and death. Therefore, you are wrong
BEGGING THE QUESTION • Circular reasoning to prompt a question, the answer is what you argue for We know that God exists, because it says so in the Bible. And we can trust the Bible on this matter because it's the Word of God, and so must be correct
INFORMAL FALLACIES • Appeal to Ignorance One cant prove that God doesn’t exist therefore he exists • Undistributed Middle/ Equivocation Use of metaphor, middle term has more than one implication All polticians are snakes- Snakes have no legs- Polticians have no legs
INFORMAL FALLACIES • Appeal to authority: We should abolish the death penalty. Many respected people, such as actor Guy Handsome, have publicly stated their opposition to it. • Hasty generalization: My roommate said her philosophy class was hard, and the one I'm in is hard, too. All philosophy classes must be hard
INFORMAL FALLACIES • Missing the Point: The seriousness of a punishment should match the seriousness of the crime. Right now, the punishment for drunk driving may simply be a fine. But drunk driving is a very serious crime that can kill innocent people. So the death penalty should be the punishment for drunk driving
INFORMAL FALLACIES • Ad populum [to the people]: Gay marriages are just immoral because 70% of Americans think so. • Reductio ad absurdum If P, then Q. But not-Q. So not-P [Unbeatable computer game]