Midterm 1 Flashcards

1
Q

A proposition

A

“All S are P” becomes “No S are P”

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2
Q

Transformation A

A

Switch subject and predicate

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3
Q

Transformation B

A

Change the quality of proposition

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4
Q

E proposition

A

“No S are P” becomes “All S are P”

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5
Q

I proposition

A

“Some S are P” becomes “Some S are not P”

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6
Q

O proposition

A

“Some S are not P” becomes “some S are P”

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7
Q

Complement

A

An expression which denotes the class whose members consist of everything that falls outside the class denotes by the original term

Initial term- iguanas
Compliment- “non-iguanas” or “things that are not iguanas”

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8
Q

Transformation C

A

Replace 1 or more terms with their compliments

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9
Q

Transformation a example

A

Before- some Iguanas are not excellent singers

After- some excellent singers are not iguanas

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10
Q

Transformation B example

A

Before- some iguanas are not excellent singers

After- some iguanas are excellent singers

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11
Q

Transformation C example

A

Before- some iguanas are excellent singers

After (predicate only)- some iguanas are things that are not excellent singers

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12
Q

Operations types

A

Conversion
Obversion
Contraposition

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13
Q

Conversion and example

A

Transformations (A) only

Original: all macadamia nuts are items banned in the classroom

Converse: all items banned in the classroom are macadamia nuts

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14
Q

Obversion def and examples

A

Transformation: B and C (predicate only)

Original: All macadamia nuts are items banned in the classroom

B- no macadamia nuts are items banned in the classroom

C- no macadamia nuts are items permitted in the classroom

Obverse: No macadamia nuts are items permitted in the classroom

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15
Q

Contraposition def and example

A

Transformation: a and C (subject and predicate)

Original: all macadamia nuts are items banned in the classroom

A: all items banned in the classroom are macadamia nuts

C: All items permitted in the classroom are things that are not macadamia nuts

Contrapositive: all items permitted in the classroom are things that are not macadamia nuts

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16
Q

Equivalences

Proposition- A

A

Proposition- A: All S are P

Obverse (equivalent)

Converse (not equivalent)

Contrapositive (equivalent)

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17
Q

Equivalences

proposition E

A

Proposition- E: No S are P

Obverse (equivalent)

Converse (equivalent)

Contrapositive (not equivalent)

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18
Q

Equivalence

Proposition I

A

Proposition- I: some S are P

Obverse (equivalent)

Converse (equivalent)

Contrapositive (not equivalent)

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19
Q

Equivalences

Proposition O

A

Proposition- O: some S are not P

Obverse (equivalent)

Converse (not equivalent)

Contrapositive (equivalent)

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20
Q

Obverse equivalent for which proposition

A

A/E/I/O

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21
Q

Converse equivalent for

A

E/I

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22
Q

Converse not equivalent for

A

A/O

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23
Q

Contrapositive equivalent for

A

A/O

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24
Q

Contrapositive not equivalent for

A

E/I

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25
Original: some Nova Scotians are not ppl with funny accents Case 1: Some ppl with funny accents are not Nova Scotians Analysis:? Assessment:?
Analysis: O statement/ Converse Assessment: not equivalent
26
Original: some Nova Scotians are not ppl with funny accents Case 1: Some ppl with funny accents are not Nova Scotians Analysis:? Assessment:?
Analysis: O statement/ Converse Assessment: not equivalent
27
Original: some Nova Scotians are not ppl with funny accents Case 2: some ppl without funny accents are not things that are not Nova Scotians Analysis:? Assessment:?
Analysis: O statement/ contra positive Assessment: equivalent
28
Syllogism
Deductive argument with exactly 2 premises and 1 conclusion
29
Categorical Syllogism And Examples
Both premises and the conclusion of the argument are categorical propositions Premises and conclusions contain exactly 3 different terms between them Each term appears twice in different propositions -All logicians are awkward conversationalists - (some logicians are not tango aficionados) -Some awkward conversationalists are not tango aficionados
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Major term
Term that occurs as the predicate of the conclusion and in one of the premises
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Major premise
Premise in which the major term occurs
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Minor term
Term that occurs as the subject of the conclusion and in one of the premises
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Minor premise
Premise in which the minor term occurs
34
Middle term
Term that occurs in both premises but doesn’t not occur anywhere in the conclusion
35
-all logicians are awkward conversationalists -(some logicians are not tango aficionados) -some awkward conversationalists are not tango aficionados Terms and premises:
Major term: tango aficionados Minor term: awkward conversationalists Middle term: logicians Major premise: “some logicians are not tango aficionados” Minor Premise: “all logicians are awkward conversationalists”
36
Standard form categorical syllogism
-Major premise listed first -Minor premise listed second -Conclusion listed last MAKE SURE -Both premises and conclusion are standard- form categorical propositions -2 occurrences of each term are the same -each term has the same meaning in each of its occurrences
37
Mood and example
Letter names of the constituent propositions of a categorical syllogism in the following order Major premise Minor premise Conclusion Example -Some donkeys are not ill tempered beasts -(No ill tempered beasts are literate readers) -some literate readers are donkeys Analysis Sentence 1-O/sentence 2-E/ sentence 3-I Mood: OEI
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Figure 1
Middle term occupies the subject position in major premise and the predicate position in the minor premise M-p (s-M) s-p
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Figure 2
Middle term occupies the predicate position in both premises p-M (s-M) s-p
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Figure 3
Middle term occupies subject position in both premise M-p (M-s) s-p
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Figure 4
Middle term occupies predicate position in the major premise and subject position in minor premise p-M (M-s) s-p
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Unconditionally valid forms Figure 1
AAA AII EAE EIO
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Unconditionally valid forms Figure 2
AEE AOO EAE EIO
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Unconditionally valid forms Figure 3
AII EIO IAI OAO
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Unconditionally valid forms Figure 4
AEE EIO IAI
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Example of unconditionally valid forms -Some donkeys are not ill tempered beasts -no ill tempered beasts are literate readers —————————————— -some literate readers are donkeys
Mood: OEI Figure: 4 Argument: invalid
47
How to create Ben diagrams
Make a 3 circle one Top circle-M-(middle term) Bottom left circle - minor term (s) Bottom right circle- major term (M)
48
Venn diagram numbering
M 1 2. 4 3 6 5. 7 S. P
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A proposition diagram
A- all S are P S and P venn diagram Fully left section shaded out
50
E proposition Venn diagram
No S are P S and P Venn diagram Where middle is shaded out
51
I proposition Venn diagram
Some s are P S and P Venn diagram Middle section has an x
52
O proposition Venn diagram
Some S are not P S and P Venn diagram S only side has an x
53
I and O premises Venn diagram
If one premise requires shading and the other requires placing an x on the diagram, do the shading before placing the x on the diagram If an x can go into 2 separate regions of a Venn diagram, place it on the line between those 2 regions
54
I and O premises Venn diagram
If one premise requires shading and the other requires placing an x on the diagram, do the shading before placing the x on the diagram If an x can go into 2 separate regions of a Venn diagram, place it on the line between those 2 regions
55
Validity in general
Argument is valid if and only if it’s not possible for the premises to be true and conclusion false
56
A Venn diagram show an argument to be valid if and only if
The diagram for the premises makes the conclusion true
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True conclusions A proposition
2 and 5 shaded
58
True conclusions E-propositions
3 and 6 shaded
59
True conclusions I- propositions
X in either region 3 or 6
60
True conclusions O proposition
X in either 2 or 5