Part VI – [TOTAL SCORE 10]

Place the following propositions in Standard Categorical Form and match them with one of the five categorical forms provided.

VI.4

It’s not true that the koala has been known not to be feeding on philosophers.

Question

Part VI – [TOTAL SCORE 10]

Place the following propositions in Standard Categorical Form and match them with one of the five categorical forms provided.

VI.4

It’s not true that the koala has been known not to be feeding on philosophers.

BlackTom AI · Accepted Answer

We start by restating the problem in our own words to ensure understanding: we must place the given proposition in Standard Categorical Form and choose which of the provided forms matches it.

Option 1: All S are P  S = "Koalas"  P = "Animals feeding on philosophers"
This form asserts that every koala is an animal feeding on philosophers. The original sentence does not claim universality; it only says there is at least one koala known to feed on philosophers (via a negation structure). Therefore this option overgeneralizes and is incorrect.

Option 2: All S are P  S = "Animals feeding on philosophers"  P = "Koalas"
Here the subject class is "Animals feeding on philosophers" and the predicate class is Koalas, which inverts the intended meaning and also asserts universality about a different subject-predicate pairing. This misrepresents the content entirely, so it is incorrect.

Option 3: No S are P  S = "Koalas"  P = "Animals feeding on philosophers"
This states no koalas feed on philosophers, directly contradicting the idea embedded in the original sentence, which indicates there is at least some koala known to feed on philosophers. Hence, this is incorrect.

Option 4: Some S are P  S = "Koalas"  P = "Animals feeding on philosophers"
This form asserts that some koalas are in the category of animals feeding on philosophers. The original sentence, with its negation structure, communicates that it is not true that koalas have not been known to feed on philosophers, i.e., there is at least one koala that feeds on philosophers. This aligns with the existential claim "Some" and uses the correct S and P assignments. Therefore this option correctly captures the intended meaning.

Option 5: Some S are not P  S = "Koalas"  P = "Animals feeding on philosophers"
This would mean at least one koala does not feed on philosophers. However, the original statement does not negate feeding; it asserts the opposite of a negation, implying at least one koala does feed. Thus this option misstates the relation and is incorrect.

Option 6: Some S are not P  S = "Animals feeding on philosophers"  P = "Koalas"
This option also mislabels the classes and asserts an existential in the wrong configuration, which does not reflect the given content at all. It is incorrect.

Summary of reasoning: The critical clues are the double negation in the natural language sentence and the intent to express existence (some) of koalas that feed on philosophers, rather than universal inclusion or exclusion. Options 1, 2, 3, 5, and 6 all distort the quantifier, the subject, or the predicate in ways that conflict with the given proposition. Option 4 correctly uses Some S are P with S = Koalas and P = Animals feeding on philosophers, capturing the intended existential assertion about a subset of Koalas performing the feeding action described.

PHIL_V 120 99C 2024W2 Final Exam - Requires Respondus LockDown Browser

Part VI – [TOTAL SCORE 10] Place the following propositions in Standard Categorical Form and match them with one of the five categorical forms provided. VI.4 It’s not true that the koala has been known not to be feeding on philosophers.

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