Traditional Square of Opposition, Part 1: Supposing only that the numbered statements below are true and that they are u

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Traditional Square of Opposition, Part 1: Supposing only that
the numbered
statements below are true and that they are understood under the
traditional
interpretation (with existential import), what can you say about
the truth-values of
the lettered statements? If you can determine the truth-value, do
so by circling the
appropriate letter: ‘T’ if the statement is true and ‘F’ if the
statement is false. If
you cannot determine the statement’s truth-value, circle ‘I’ for
‘indeterminate.’
1. No students are crocodiles.
a. Some students are crocodiles. T F I
b. All students are crocodiles. T F I
c. Some students are not crocodiles. T F I
2. Some pigs are not flying creatures.
a. All pigs are flying creatures. T F I
b. Some pigs are flying creatures. T F I
c. No pigs are flying creatures. T F I
3. All philosophers are rich.
a. No philosophers are rich. T F I
b. Some philosophers are rich. T F I
c. Some philosophers are not rich. T F I
2
4. Some idlers win fame.
a. All idlers win fame. T F I
b. No idlers win fame. T F I
c. Some idlers do not win fame. T F I
3
Traditional Square of Opposition, Part 2: Supposing only that the
numbered
statements below are false and that they are understood under the
traditional
interpretation (with existential import), what can you say about
the truth-values of
the lettered statements? If you can determine the truth-value, do
so by circling the
appropriate letter: ‘T’ if the statement is true and ‘F’ if the
statement is false. If
you cannot determine the statement’s truth-value, circle ‘I’ for
‘indeterminate.’
1. No students are crocodiles.
a. Some students are crocodiles. T F I
b. All students are crocodiles. T F I
c. Some students are not crocodiles. T F I
2. Some pigs are not flying creatures.
a. All pigs are flying creatures. T F I
b. Some pigs are flying creatures. T F I
c. No pigs are flying creatures. T F I
3. All philosophers are rich.
a. No philosophers are rich. T F I
b. Some philosophers are rich. T F I
c. Some philosophers are not rich. T F I
4. Some idlers win fame.
a. All idlers win fame. T F I
b. No idlers win fame. T F I
c. Some idlers do not win fame. T FI