Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.
Which one of the statements below is logically valid and can be inferred from the above sentences?
Logical Inference Analysis: Humpty Dumpty
Analyze the given statements to find the logically valid inference.
Premises Analysis
- Humpty Dumpty eats lunch on a wall daily.
- The wall sometimes breaks.
- If the wall breaks while Humpty Dumpty is on it, he falls.
Option Evaluation
- Option 1: Humpty Dumpty always falls while having lunch
The wall breaks sometimes, not always. Therefore, Humpty Dumpty does not always fall. This is invalid. - Option 2: Humpty Dumpty does not fall sometimes while having lunch
Since the wall sometimes breaks, it means the wall sometimes does not break. According to premise 3, if the wall does not break, Humpty Dumpty does not fall. Thus, he sometimes does not fall. This is a valid inference. - Option 3: Humpty Dumpty never falls during dinner
The provided text only discusses lunch. There is no information about dinner. This is invalid. - Option 4: When Humpty Dumpty does not sit on the wall, the wall does not break
The text states the wall breaks *while* he sits on it, but it does not specify what happens when he is absent. The wall could still break. This is invalid.
The only logically valid inference is that Humpty Dumpty sometimes does not fall.
Important Questions from Logical Inferences
- Which of the following statements about languages and dialects is/are CORRECT?
- A person has a plan to climb a hill to reach the hilltop. She observes that there is a sudden rise in the water level in the stream coming down from the hill. From this she concludes that it must be raining heavily on the hilltop. Therefore, she should postpone her expedition to some later time.
Which one or more of the following kinds of inference does this person’s reasoning involve as per the Nyāya view? - Identify the instance(s) of inductive reasoning from the following options.
A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco.
Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that suprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.
