Test 1 Flashcards

To learn the square of opposition, along with first, second, third figure syllogisms, and converting statements.

1
Q

What is a syllogism?(Aristotle’s definition)

A

Certain things are stated, and something besides what is stated follows necessarily

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2
Q

Draw the square of opposition

A

(Check to see if correct)

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3
Q

Conversion of All A is B

A

Some B is A

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4
Q

Conversion of Some A is B

A

Some B is A

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5
Q

Conversion of Some A is not B

A

No conversion

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6
Q

Conversion of No A is B

A

No B is A

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7
Q

Contrary of All A is B

A

If All A is B is true then No B is A must be false

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8
Q

Contradictory of All A is B

A

If All A is B is true then Some A is not B must be false; If All A is B is false then some A is not B must be true

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9
Q

Sub-alternation of All A is B

A

If All A is B is true then some A is B is also true

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10
Q

Sub-contrary of Some A is B

A

If Some A is B is false then Some A is not B is true

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11
Q

Contradictory of Some A is B

A

If some A is B is true, then No A is B must be false, If some A is B is false, then No A is B must be true

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12
Q

Sub-alternation of Some A is B

A

If Some A is B is false, then All A is B must be false also

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13
Q

Contrary of No A is B

A

If No A is B is true, then All A is B must be false

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14
Q

Contradictory of No A is B

A

If No A is B is true, then Some A is B must be false; if No A is B is false, then Some A is B must be true

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15
Q

Sub-alternation of No A is B

A

If No A is B is true, then Some A is not B is also true

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16
Q

Sub-contrary of Some A is not B

A

If Some A is not B is false then Some A is B must be true

17
Q

Contradictory of Some A is not B

A

If some A is not B is true, then All A is B must be false; if Some A is not B is false then All A is B must be true

18
Q

Sub-alternation of Some A is not B

A

If Some A is not B is false, then No A is B must also be false

19
Q

Unknown relationships in square of opposition for contraries

A

If one is false, it implies nothing about the truth or falsity of the other

20
Q

Unknown relationships in square of opposition for sub-contraries

A

The truth of one implies nothing of the truth or falsity of the other one

21
Q

Unknown relationships in square of opposition for sub-alternations

A

The falsity of the universal implies nothing about the particular, and the truth of the particular implies nothing about the universal

22
Q

All A is B is the

A

Universal Affirmative

represented by A

23
Q

No A is B is the

A

Universal Negative

represented by the letter E

24
Q

Some A is B is the

A

Particular Affirmative

represented by the letter I

25
Q

Some A is not B is the

A

Particular Negative

represented by the letter O

26
Q

Saying B belongs to all A is saying

A

All A is B

27
Q

Saying B is predicated by all A says

A

All A is B

28
Q

Order of first figure syllogism

A

B is A-Major premise
C is B-Minor premise
Therefore C is A

29
Q

Order of second figure syllogism:

A

No N is M-Major premise
All O is M-Minor premise
Therefore No O is N

30
Q

Order of third figure syllogism:

A

All S is P-Major premise
All S is R-Minor premise
Therefore Some R is P

31
Q

In the syllogism, the conclusion is always stated in this order:

A
Minor term predicated Major term, I.E.
A is the Major term
C is the Minor term
B is the middle term
All B is A (Major premise)
All C is B (Minor premise)
Therefore All C is A(Minor then major)
32
Q

First figure syllogisms that work:

A

AAA (All B is A, All C is B, All C is A)
EAE (No B is A, All C is B, No C is A)
AII (All B is A, Some C is B, Some C is A)
EIO(No B is A, Some C is B, Some C is not A)

33
Q

Second figure syllogisms that work:

A

EAE (No N is M, All O is M, No O is N)
AEE (All N is M, No O is M, No O is N)
EIO (No N is M, Some O is M, Some O is not N)
AOO (All N is M, Some O is not M, Some O is not N)

34
Q

Third figure syllogisms that work:

A

AAI (All S is P, All S is R, Some R is P)
EAO (No S is P, All S is R, Some R is not P)
IAI (Some S is P, All S is R, Some R is P)
OAO (Some S is not P, All S is R, Some R is not S)
AII (All S is P, Some S is R, Some R is P)
EIO (No S is P, Some S is R, Some R is not S)