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At least one school is a tertiary institution. All universities are tertiary institutions. Therefore, at least one school is not a university. Provide answers for
- At least one school is a tertiary institution.
All universities are tertiary institutions.
Therefore, at least one school is not a university.
Provide answers for questions 'a' to 'l' below from the passage immediately above.
- If the statement "some schools are not tertiary institutions" is true, what is the immediate inference of this 'O' statement? (2 marks)
- What is the obverse of the A-Statement above? (1 mark)
- What is the converse of 'some schools are not tertiary institutions'? (1 mark)
- Is the converse of the statement in 'C' above true? (1 mark)
- Use Venn diagrams to prove that the converse of 'I' statements is always true. (4 marks)
- Rewrite the argument above as a standard-form categorical syllogism (3 marks)
- Identify its mood and figure: (2 marks)
- Test its validity using a Venn diagram. (5 marks)
- What can be said about the validity of the argument above? (1 mark)
- Why would you or would you not use a truth table to test the argument above? (1 mark)
- Use your own substitution instances to demonstrate how contraries work. (2 marks)
- Use some substitution instances to show how sub-contraries work. ( 2 marks)
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