Final answer:
The correct sentences from the options provided are the first and the fourth ones as they are grammatically correct and do not contain logical fallacies. However, if one must be chosen, the first sentence is the most clear and correct: 'My sister got more excited when she saw her Christmas present.'
Step-by-step explanation:
To identify the correct sentence from the given options according to standard English grammar, we can look at each sentence:
- My sister got more excited when she saw her Christmas present. - This sentence is grammatically correct. It conveys that the level of excitement increased for the sister upon seeing her Christmas present.
- Some people think they are more equal than everyone else. - This sentence, while grammatically correct, contains a logical fallacy because 'equal' is an absolute term, not comparative.
- Each math problem was more impossible than the last. - This sentence contains a logical error since 'impossible' is an absolute term that should not be used comparatively.
- My glass of water is less empty than yours. - This sentence is grammatically correct as it compares the relative emptiness of two glasses.
Therefore, based on the options, the sentences that are grammatically correct and do not contain logical errors are the first and the fourth. However, if we must choose only one, we select the first one, as it is clear and does not involve any nuanced logical errors.