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All computers are machines. Some machines are not computers. Therefore, some mac

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Question: All computers are machines. Some machines are not computers. Therefore, some machines are not computers. Is this conclusion valid? (2023)

Options:

  1. Yes
  2. No
  3. Only if all machines are computers
  4. Only if some computers are machines

Correct Answer: Yes

Exam Year: 2023

Solution: 

The conclusion is valid. The premises support the existence of machines that are not computers.

All computers are machines. Some machines are not computers. Therefore, some mac

Practice Questions

Q1
All computers are machines. Some machines are not computers. Therefore, some machines are not computers. Is this conclusion valid? (2023)
  1. Yes
  2. No
  3. Only if all machines are computers
  4. Only if some computers are machines

Questions & Step-by-Step Solutions

All computers are machines. Some machines are not computers. Therefore, some machines are not computers. Is this conclusion valid? (2023)
  • Step 1: Understand the first statement: 'All computers are machines.' This means every computer is included in the group of machines.
  • Step 2: Understand the second statement: 'Some machines are not computers.' This means there are machines that do not belong to the group of computers.
  • Step 3: Analyze the conclusion: 'Therefore, some machines are not computers.' This is saying that there are indeed machines that are not computers.
  • Step 4: Check if the conclusion follows from the premises: Since the second statement confirms that some machines are not computers, the conclusion is supported.
  • Step 5: Conclude that the conclusion is valid because it logically follows from the given statements.
  • Logical Deduction – The ability to derive conclusions from given premises using logical reasoning.
  • Categorical Logic – Understanding relationships between categories, such as 'all', 'some', and 'none'.
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