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
In context, the second quotation in Passage 1 ('Cats... own') serves to:
- A. Present an alternative view of a troubling situation
- B. Reinforce an observation by using a metaphor
- C. Warn the reader of an existing danger
- D. Cite an authority to support a point
Correct Answer & Rationale
Correct Answer: B
The second quotation in Passage 1 uses a metaphor to illustrate the unique and independent nature of cats, effectively reinforcing the observation that they possess a distinct personality. This figurative language emphasizes the author's point, making it more relatable and engaging. Option A is incorrect as the quotation does not present an alternative view; it rather supports the existing perspective on cats. Option C misinterprets the intent, as there is no warning about danger in the quotation. Option D is also inaccurate, as the quotation does not reference an authority but instead relies on metaphorical language to convey its message.
The second quotation in Passage 1 uses a metaphor to illustrate the unique and independent nature of cats, effectively reinforcing the observation that they possess a distinct personality. This figurative language emphasizes the author's point, making it more relatable and engaging. Option A is incorrect as the quotation does not present an alternative view; it rather supports the existing perspective on cats. Option C misinterprets the intent, as there is no warning about danger in the quotation. Option D is also inaccurate, as the quotation does not reference an authority but instead relies on metaphorical language to convey its message.
In context, what does the final sentence suggest about Native American ceremonial texts?
- A. Understanding them requires a highly developed memory.
- B. Their inclusion of complicated and detailed material is traditional.
- C. They are important in the everyday lives of many Native Americans.
- D. Their use of repetition cannot be explained as an aid to memorization.
Correct Answer & Rationale
Correct Answer: D
The final sentence suggests that repetition in Native American ceremonial texts serves a purpose beyond mere memorization, indicating a deeper significance in their cultural context. Option A is incorrect because the emphasis is not on memory development but on the intrinsic value of repetition. Option B misinterprets the role of complexity; while tradition is important, the sentence highlights repetition's unique function rather than the intricacy of content. Option C overlooks the specific focus on repetition, which is the core of the final sentence, rather than the broader context of everyday importance.
The final sentence suggests that repetition in Native American ceremonial texts serves a purpose beyond mere memorization, indicating a deeper significance in their cultural context. Option A is incorrect because the emphasis is not on memory development but on the intrinsic value of repetition. Option B misinterprets the role of complexity; while tradition is important, the sentence highlights repetition's unique function rather than the intricacy of content. Option C overlooks the specific focus on repetition, which is the core of the final sentence, rather than the broader context of everyday importance.
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.
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.