State whether the following statements are always true, always false or ambiguous. Justify your answers.
All mathematics textbooks are interesting.
Ambiguous. Justification: Whether a textbook is interesting depends on the perspective of the reader; some may find it interesting while others may not.
The distance from the Earth to the Sun is approximately km.
Always True. Justification: This is a scientifically established fact regarding the average distance between the Earth and the Sun.
All human beings grow old.
Always True. Justification: This is a biological fact that applies to every human being, similar to the statement 'All humans are mortal' provided in the context.
The journey from Uttarkashi to Harsil is tiring.
Ambiguous. Justification: Whether a journey is tiring depends on the individual's physical condition and the mode of transport used.
The woman saw an elephant through a pair of binoculars.
Ambiguous. Justification: It is not clear which woman is being referred to or the specific circumstances, so we cannot determine if the statement is always true or always false.
Explanation
The provided context includes Example 1, which demonstrates how to classify statements. It shows that scientifically verified facts (like the speed of light or mortality) are 'Always True', statements contradicting facts are 'Always False', and statements that depend on variables or lack specific details (like the number of wheels on vehicles or specific road closures) are 'Ambiguous'. Applying this logic to the exercise questions: (ii) and (iii) are universal facts, hence always true. Statements (i), (iv), and (v) depend on subjective opinions or unspecified conditions, making them ambiguous.