The phenomenon of simultaneous discovery—what science historians call 'multiples'—turns out to be extremely common. One of the first comprehensive lists of multiples was put together in 1922 by William Ogburn and Dorothy Thomas; they found 148 major scientific discoveries that fit the multiples pattern. Working independently, both Newton and Leibniz discovered calculus. Three mathematicians 'invented' decimal fractions. For Ogburn and Thomas, the sheer number of multiples could mean only one thing: scientific discoveries must, in some sense, be inevitable. They must be in the air, products of the intellectual climate of a specific time and place.
Which of the following, if true, would best serve to challenge Ogburn and Thomas’s belief that the discovery of calculus is an example of the 'phenomenon' mentioned in the first sentence?
- A. Uncovering the existence of a journal that Newton kept while working with calculus
- B. Learning that scientists other than Newton and Leibniz had also made substantial progress on calculus
- C. Finding a previously unknown letter between Newton and Leibniz discussing calculus that predated its commonly assumed discovery
- D. Identifying a minor error in Newton’s original mathematical calculations
Correct Answer & Rationale
Correct Answer: C
Option C effectively challenges Ogburn and Thomas's belief by providing evidence that the commonly accepted timeline of calculus's discovery may be inaccurate. A letter predating the established discovery suggests that the ideas behind calculus were circulating earlier than believed, undermining the notion of a singular "phenomenon." Option A, while intriguing, does not directly contest the timing of the discovery; it merely adds context to Newton's process. Option B introduces other contributors but does not dispute the significance of Newton and Leibniz's roles. Option D points out an error in calculations, which does not challenge the overall legitimacy of the discovery itself.
Option C effectively challenges Ogburn and Thomas's belief by providing evidence that the commonly accepted timeline of calculus's discovery may be inaccurate. A letter predating the established discovery suggests that the ideas behind calculus were circulating earlier than believed, undermining the notion of a singular "phenomenon." Option A, while intriguing, does not directly contest the timing of the discovery; it merely adds context to Newton's process. Option B introduces other contributors but does not dispute the significance of Newton and Leibniz's roles. Option D points out an error in calculations, which does not challenge the overall legitimacy of the discovery itself.
Other Related Questions
What change needs to be made to sentence 11 (reproduced below) to make the sentence grammatically correct? Most New Yorkers have gotten used to the idea: a recent poll of New York City residents show that two-thirds of them support the bike lanes.
- A. Change 'gotten' to 'got'
- B. Change 'show' to 'shows'
- C. Change 'support' to 'supported'
- D. Change 'lanes' to 'lane'
Correct Answer & Rationale
Correct Answer: B
In the sentence, the subject "a recent poll" is singular, so the verb must also be singular to ensure subject-verb agreement. Changing "show" to "shows" corrects this error. Option A incorrectly suggests changing "gotten" to "got," which does not address the grammatical issue present in the sentence. Option C’s suggestion to change "support" to "supported" alters the meaning of the sentence unnecessarily, shifting it from current support to past support. Option D's change from "lanes" to "lane" is irrelevant, as the plural form is appropriate given the context of multiple bike lanes in the city.
In the sentence, the subject "a recent poll" is singular, so the verb must also be singular to ensure subject-verb agreement. Changing "show" to "shows" corrects this error. Option A incorrectly suggests changing "gotten" to "got," which does not address the grammatical issue present in the sentence. Option C’s suggestion to change "support" to "supported" alters the meaning of the sentence unnecessarily, shifting it from current support to past support. Option D's change from "lanes" to "lane" is irrelevant, as the plural form is appropriate given the context of multiple bike lanes in the city.
Which sentence should be deleted to improve the unity of the second paragraph?
- A. Sentence 3
- B. Sentence 4
- C. Sentence 5
- D. Sentence 6
Correct Answer & Rationale
Correct Answer: C
To enhance the unity of the second paragraph, removing Sentence 5 is most effective. This sentence introduces a topic that diverges from the main focus, disrupting the flow and coherence of the paragraph. Sentence 3 supports the central idea, while Sentence 4 provides necessary context. Sentence 6 wraps up the discussion, reinforcing the paragraph's main point. By deleting Sentence 5, the paragraph remains focused, ensuring all sentences contribute directly to the central theme, thereby improving clarity and cohesion.
To enhance the unity of the second paragraph, removing Sentence 5 is most effective. This sentence introduces a topic that diverges from the main focus, disrupting the flow and coherence of the paragraph. Sentence 3 supports the central idea, while Sentence 4 provides necessary context. Sentence 6 wraps up the discussion, reinforcing the paragraph's main point. By deleting Sentence 5, the paragraph remains focused, ensuring all sentences contribute directly to the central theme, thereby improving clarity and cohesion.
The sixth paragraph (sentences 14–17) suggests that on the first day of kindergarten, Evan felt:
- A. happy to be surrounded by so many other children for the first time
- B. excited by everything he expected to learn
- C. resentful of being indoors after spending most of the summer outside
- D. upset by unfamiliar circumstances and surroundings
Correct Answer & Rationale
Correct Answer: D
The sixth paragraph highlights Evan's feelings of discomfort and anxiety as he navigates a new environment. This suggests he was upset by the unfamiliar circumstances and surroundings, aligning with option D. Option A misinterprets his feelings; while being around other children can be exciting, the text emphasizes his unease rather than happiness. Option B focuses on his excitement for learning, which is not supported by the text's portrayal of his initial emotional state. Lastly, option C incorrectly suggests resentment towards being indoors; the emphasis is on his overall discomfort rather than frustration with a specific situation.
The sixth paragraph highlights Evan's feelings of discomfort and anxiety as he navigates a new environment. This suggests he was upset by the unfamiliar circumstances and surroundings, aligning with option D. Option A misinterprets his feelings; while being around other children can be exciting, the text emphasizes his unease rather than happiness. Option B focuses on his excitement for learning, which is not supported by the text's portrayal of his initial emotional state. Lastly, option C incorrectly suggests resentment towards being indoors; the emphasis is on his overall discomfort rather than frustration with a specific situation.
The author implies that the social sciences:
- A. Are valued for their techniques
- B. Can make no contribution to progress
- C. Cannot deal with long-term issues
- D. May someday add to the world's knowledge
Correct Answer & Rationale
Correct Answer: D
The social sciences are suggested to have the potential to enhance global understanding in the future, highlighting their evolving nature and capacity for growth. Option A incorrectly emphasizes techniques over the broader contributions of social sciences. Option B dismisses their role entirely, which contradicts the author's implication of future relevance. Option C undermines the ability of social sciences to address complex, long-term issues, a key aspect of their study. Thus, the notion that social sciences may eventually enrich knowledge aligns best with the author's perspective.
The social sciences are suggested to have the potential to enhance global understanding in the future, highlighting their evolving nature and capacity for growth. Option A incorrectly emphasizes techniques over the broader contributions of social sciences. Option B dismisses their role entirely, which contradicts the author's implication of future relevance. Option C undermines the ability of social sciences to address complex, long-term issues, a key aspect of their study. Thus, the notion that social sciences may eventually enrich knowledge aligns best with the author's perspective.