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Statements:All windows are doors.All entrances are windows.No gate is a door.Conclusions:I. At least some windows are gates.II. No gate is an entrance.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.

Question

Statements:All windows are doors.All entrances are windows.No gate is a door.Conclusions:I. At least some windows are gates.II. No gate is an entrance.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.

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Solution

The given statements are:

  1. All windows are doors.
  2. All entrances are windows.
  3. No gate is a door.

From these statements, we can infer the following:

  • Since all windows are doors and no gate is a door, it means no window can be a gate. Therefore, conclusion I (At least some windows are gates) does not follow.
  • Since all entrances are windows and we have established that no window can be a gate, it means no entrance can be a gate. Therefore, conclusion II (No gate is an entrance) follows.

So, the answer is: if only conclusion II follows.

This problem has been solved

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