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.
Solution
The given statements are:
- All windows are doors.
- All entrances are windows.
- 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.
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