Logic and Faithful Persons
2(a) ‘Some women are unfaithful persons’. Is the preceding statement a stylistic variant of ‘some women are faithful persons? Explain your answer.
No.
Answer: “some women are not faithful persons”
As far as the truth or falsity of the sentences being expressed goes, any one of the stylistic variants says the same thing.
(b) Represent the two (2) statements mentioned in ‘a’ above on separate Venn diagrams.
Answer:
W F W UF
(c) Are the two (2) Venn diagrams saying different things?
Answer: Yes.
This is because one represents Women (W) and Faithful (F) and the other represents Women (W)and Unfaithful(UF).
d) What is the obverse of the statement that, ‘all woman are faithful persons’?
Answer: “No women are unfaithful persons”
The first step is to change the quality by switching the quantifier from "All" to "No".
The second step is to replace the predicate term with its compliment. This would mean to replace "faithful persons" with "unfaithful person".
e) If the statement that ‘all women are faithful persons’ is false, what is the immediate inference of this ‘A’ statement? Use the Traditional Square of Opposition to help you answer this question.
Answer: “Some women are not faithful persons”
Since A&O are contradictory and O being false is the contradictory of A being true, by traditional the same relation applies for the contradictory relation as for the modern.
f) Take the term ‘money’ and provide a definition that is too narrow.
Answer: Money is a medium of exchange represented by paper notes and paper notes only.
g) Explain why this definition is too narrow.
Answer: The definition does not include items that should be included, e.g. coins and demand deposits
h) Use the term ‘birds’ to construct an argument that commits the fallacy of equivocation.
Answer: To equivocate means to say one thing while seeming to say another.
All birds fly
A fly is an insect
No.
Answer: “some women are not faithful persons”
As far as the truth or falsity of the sentences being expressed goes, any one of the stylistic variants says the same thing.
(b) Represent the two (2) statements mentioned in ‘a’ above on separate Venn diagrams.
Answer:
W F W UF
(c) Are the two (2) Venn diagrams saying different things?
Answer: Yes.
This is because one represents Women (W) and Faithful (F) and the other represents Women (W)and Unfaithful(UF).
d) What is the obverse of the statement that, ‘all woman are faithful persons’?
Answer: “No women are unfaithful persons”
The first step is to change the quality by switching the quantifier from "All" to "No".
The second step is to replace the predicate term with its compliment. This would mean to replace "faithful persons" with "unfaithful person".
e) If the statement that ‘all women are faithful persons’ is false, what is the immediate inference of this ‘A’ statement? Use the Traditional Square of Opposition to help you answer this question.
Answer: “Some women are not faithful persons”
Since A&O are contradictory and O being false is the contradictory of A being true, by traditional the same relation applies for the contradictory relation as for the modern.
f) Take the term ‘money’ and provide a definition that is too narrow.
Answer: Money is a medium of exchange represented by paper notes and paper notes only.
g) Explain why this definition is too narrow.
Answer: The definition does not include items that should be included, e.g. coins and demand deposits
h) Use the term ‘birds’ to construct an argument that commits the fallacy of equivocation.
Answer: To equivocate means to say one thing while seeming to say another.
All birds fly
A fly is an insect