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
Which is the best version of the underlined portion of sentence 2 (reproduced below)? Its first bike lane — and the country's first, was built in 1894, along Brooklyn's Ocean Parkway.
- A. (as it is now)
- B. first
- C. first:
- D. first—
Correct Answer & Rationale
Correct Answer: D
Option D is the best choice as it correctly uses an em dash to emphasize the phrase "the country's first," creating a strong pause that enhances clarity. Option A, "as it is now," is irrelevant and does not fit the context of the sentence. Option B, "first," lacks punctuation, which disrupts the flow and clarity of the sentence. Option C, "first:," incorrectly employs a colon, which is inappropriate here since the phrase following it is not a complete explanation or list. Thus, D effectively conveys the intended meaning while maintaining grammatical accuracy.
Option D is the best choice as it correctly uses an em dash to emphasize the phrase "the country's first," creating a strong pause that enhances clarity. Option A, "as it is now," is irrelevant and does not fit the context of the sentence. Option B, "first," lacks punctuation, which disrupts the flow and clarity of the sentence. Option C, "first:," incorrectly employs a colon, which is inappropriate here since the phrase following it is not a complete explanation or list. Thus, D effectively conveys the intended meaning while maintaining grammatical accuracy.
In context, which sentence would be best to insert at the beginning of the second paragraph (sentences 7–10)?
- A. Acceptance of the city's new bike lanes did not come immediately.
- B. The new bike lanes served numerous purposes for New Yorkers.
- C. In 2006, the majority of New York City residents did not own bicycles.
- D. Many pedestrians and motorists supported bicycle riding on city streets.
Correct Answer & Rationale
Correct Answer: A
Option A effectively sets the stage for the discussion in the second paragraph by highlighting the initial resistance to the bike lanes, which is crucial for understanding the subsequent developments and changes in public perception. Option B, while relevant, lacks a specific focus on the acceptance timeline, making it less suitable for a smooth transition. Option C introduces a fact that, although interesting, does not directly relate to the acceptance of the bike lanes and could distract from the main narrative. Option D mentions support for bicycle riding but does not address the acceptance of the bike lanes specifically, making it less relevant to the context.
Option A effectively sets the stage for the discussion in the second paragraph by highlighting the initial resistance to the bike lanes, which is crucial for understanding the subsequent developments and changes in public perception. Option B, while relevant, lacks a specific focus on the acceptance timeline, making it less suitable for a smooth transition. Option C introduces a fact that, although interesting, does not directly relate to the acceptance of the bike lanes and could distract from the main narrative. Option D mentions support for bicycle riding but does not address the acceptance of the bike lanes specifically, making it less relevant to the context.
The passage is an example of which rhetorical strategy?
- A. Claim–evidence
- B. Compare–contrast
- C. Quotation–analysis
- D. Definition–example
Correct Answer & Rationale
Correct Answer: D
The passage employs a definition followed by an example, illustrating concepts clearly. This strategy effectively clarifies ideas by providing context through real-world applications, enhancing understanding. Option A, claim-evidence, focuses on supporting assertions with data, which is not the primary approach here. Option B, compare-contrast, would involve analyzing similarities and differences, which is absent in the text. Option C, quotation-analysis, centers on interpreting cited material, whereas the passage defines terms directly rather than quoting sources. Thus, the use of definition and example stands out as the dominant rhetorical strategy.
The passage employs a definition followed by an example, illustrating concepts clearly. This strategy effectively clarifies ideas by providing context through real-world applications, enhancing understanding. Option A, claim-evidence, focuses on supporting assertions with data, which is not the primary approach here. Option B, compare-contrast, would involve analyzing similarities and differences, which is absent in the text. Option C, quotation-analysis, centers on interpreting cited material, whereas the passage defines terms directly rather than quoting sources. Thus, the use of definition and example stands out as the dominant rhetorical strategy.
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.