PHL320T Week 3: Apply: Inductive and Deductive Reasoning
- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
Not every lizard is a salamander.
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- Some lizards are not salamanders.
- Not every salamander is a lizard.
- Some salamanders are not lizards.
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- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
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All reptiles are lizards.
All lizards are reptiles.
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- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
Snakes are the only members of the suborder Ophidia.
All snakes are members of the suborder Ophidia.
Some snakes are not members of the suborder Ophidia.
All members of the suborder Ophidia are snakes.
- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
The only members of the suborder Ophidia are snakes.
All snakes are members of the suborder Ophidia.
All members of the suborder Ophidia are snakes.
- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
Anything that’s an alligator is a reptile.
All alligators are reptiles.
All reptiles are alligators.
- Translating Claims into Standard Form 1Translate each of the following into a standard-form claim. Make sure that each answer follows the exact form of an A-, E-, I-, or O-claim and that each term you use is a noun or noun phrase that refers to a class of things. Remember that you’re trying to produce a claim that’s equivalent to the one given; it doesn’t matter whether the given claim is actually true.
Most logic exercises are easy.
Some logic exercises are easy.
Some logic exercises are not easy.
All logic exercises are easy.
- Drag each concept to its corresponding definition.
Converse Converse. – The claim that results from switching the places of the subject and predicate terms
Contrapositive Obverse- The claim that is directly across from it in the square of opposition, with the predicate term changed to its complementary term.
Obverse Contrapositive – The claim that results from switching the places of the subject and predicate terms in a categorical claim and replacing both terms with complementary terms.
- Which of the following arguments are valid or invalid? (Remember, an argument is valid when the truth of its premises guarantees the truth of its conclusion.)
Valid | Invalid |
Because some of the students who failed the exam were students who didn’t attend the review session, it must be that some student who weren’t at the session failed the exam. | Whenever the battery is dead, the screen goes blank; that means, of course, that whenever the screen goes blank, the battery is dead. |
None of the people who arrived late were people who got good seats, so none of the good seats were occupied by latecomers. | For a while there, some students were desperate for good grades, which meant some weren’t, right? |
Some players in the last election weren’t members of the Reform Party. Obviously, therefore, some members of the Reform Party weren’t players in the last election. |
- Which of the following arguments are valid or invalid? (Remember, an argument is valid when the truth of its premises guarantees the truth of its conclusion.)
Valid | Invalid |
None of the people who gave blood are people who were tested, so everybody who gave blood must have been untested. | Not everybody in uniform was allowed to play, so some people who were not allowed to play must not have been people in uniform. |
Everybody who arrived on time was given a box lunch, so the people who did not get a box lunch were those who didn’t get there on time. | Everybody who was in uniform was able to play, so nobody who was out of uniform must have been able to play. |
Some of the people who were not tested are people who were allowed to give blodd, from which it follow that some of the people who were not allowed to give blood must have been people who were tested. |
- When you build a truth table for a claim, you
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determine whether the three terms are truth-functionally equivalent.
determine the truth value of the compound claim.
present all the possible circumstances for an argument.
determine the necessary and sufficient conditions for the claim.
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- If John goes to the game, then Michael will also go.
Michael went to the game.
Therefore, we can conclude that John went to the game.
This is an example of which invalid argument form?
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Affirming the consequent
Denying the antecedent
Undistributed Middle
Bandwagon fallacy
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- If Kendra trains hard for her game, then she will win.
Kendra did not train hard for her game.
So she will definitely not win.
This is an example of which invalid argument form?
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Denying the antecedent
Affirming the consequent
Undistributed Middle
Reductio ad absurdum
- If Ben runs 20 miles, then Wanda will donate $1000 to his charity.
If Michaela runs 20 miles, then Wanda will donate $1000 to her charity.
Therefore, If Ben runs 20 miles, then Michaela will also run 20 miles.
This is an example of which invalid argument form?
Undistributed middle (Truth-Functional Version)
Bandwagon fallacy
Denying the consequent
Composition fallacy
- If the engine overheats, then the car will stall.
If the car stalls, then we won’t get to the concert on time.
If the engine overheats, then we won’t get to the concert on time.
This scenario is an example of a(n)
chain argument.
implication.
disjunctive argument.
destructive dilemma.
- Identify whether each of these is an argument from analogyor an analogy that isn’t an argument.
Argument from analogy | An analogy that isn’t an argument |
These shurbs have shiny green leaves, and so does privet. I bet these shurbs keep their leaves in the winter, too. | Working in this office is like driving around Florida without AC. |
You don’t like picnicking?
Well, you won’t like camping, either. You can’t do either without getting eaten by mosquitoes. |
Between you and me, Huck has less personality than a pincushion. |
As soon as I saw all these formulas and stuff, I knew I’d like symbolic logic. It’s just like math, which I love. |
- Classify the following statements into two categories, inductive generalizations from samples and statistical syllogisms.
Inductive generalization from a simple | Statistical syllogism |
Rain Bird sprinklers don’t last long, judging from my experience. | That sprinkler won’t last long: it’s a rain bird |
I don’t think camphor trees are deciduous; at any rate, our isn’t. | Don’t worry about your tree losing its leaves; It’s a camphor tree. |
Blu-ray disks aren’t any better than regular old DVDs; so don’t expect this disk to be better than what you are used to. |
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Don’t waste your time trying to teach that dog to fetch. Otterhounds don’t do that.
That dog is an Otterhound.
Teaching most Otterhounds is a waste of time.
Most people like to teach Otterhounds to fetch.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
I don’t see how you could have high blood pressure; you jog, what, ten miles a day?
Most people who have high blood pressure jog ten miles a day.
Most people who jog ten miles a day don’t have high blood pressure.
Most people have high blood pressure and jog ten miles a day.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Most people who drive that kind of car have money to burn, so I imagine he has money to burn.
The car he drives is of that kind.
Most people have money to burn.
Most people drive a car of that kind.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Dr. Walker belongs to the ACLU; most people who belong to the ACLU are liberals.
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Most liberals belong to the ACLU.
Dr. Walker belongs to the ACLU like most people.
Therefore, probably Dr. Walker is a liberal.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Sharon shops online; I bet she doesn’t pay sales tax.
Most people who pay sales tax don’t shop online.
Most people who shop online pay sales tax.
Most people who shop online don’t pay sales tax.
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- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
York belongs to the NRA; he’s probably a Republican.
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Most people who belong to the Republican Party avoid the NRA.
Most people who belong to the NRA are Republicans.
Most people are Republicans.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Most members of the NRA are Republicans; therefore, probably York is a Republican.
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York is not a member of the NRA.
Most people are Republicans.
York is a member of the NRA.
- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Most smokers drink; I imagine, therefore, that Sally drinks.
Sally is a drinker.
Sally is a smoker.
Most drinkers smoke.
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- Complete each of these statistical syllogisms by supplying an appropriate premise or conclusion.
|
Marilyn is a florist; I bet she’s a nice person.
Premise: Most florists are nice people. |
Melody will be upset; who wouldn’t if her husband did that?
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Melody will be upset at the way her husband treats her.
Most people would be upset by a husband who treats them in that way.
Most people would not do what her husband did.
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