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 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.
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 choice most effectively combines sentences 7 and 8 (reproduced below) at the underlined portion? Another panel depicted icicles forming on the breath of a mule and a man with a sack of frozen meal. The unusual weather on February 10, 1895, when temperatures fell below zero in Georgia.
- A. meal, highlighting the unusual weather
- B. meal, by the weather that was unusual
- C. meal, that the weather was unusual
- D. meal, when the unusual weather
Correct Answer & Rationale
Correct Answer: A
Option A effectively combines the sentences by using "highlighting," which clearly indicates that the icicles and frozen meal illustrate the unusual weather conditions. This maintains a strong connection between the imagery and the context of the weather event. Option B introduces "by the weather that was unusual," which is awkward and less direct, weakening the connection between the two ideas. Option C's phrasing, "that the weather was unusual," is vague and does not create a clear link between the images and the weather conditions. Option D, while somewhat effective, lacks the clarity of A, as "when the unusual weather" does not emphasize how the images relate to the weather event.
Option A effectively combines the sentences by using "highlighting," which clearly indicates that the icicles and frozen meal illustrate the unusual weather conditions. This maintains a strong connection between the imagery and the context of the weather event. Option B introduces "by the weather that was unusual," which is awkward and less direct, weakening the connection between the two ideas. Option C's phrasing, "that the weather was unusual," is vague and does not create a clear link between the images and the weather conditions. Option D, while somewhat effective, lacks the clarity of A, as "when the unusual weather" does not emphasize how the images relate to the weather event.
Where in the passage should the following sentence be inserted? Other New Yorkers say they are in favor of the bike lanes just for keeping bicyclists off the sidewalks.
- A. After sentence 1
- B. After sentence 3
- C. After sentence 9
- D. After sentence 12
Correct Answer & Rationale
Correct Answer: D
Inserting the sentence after sentence 12 effectively captures the contrasting viewpoints on bike lanes, highlighting public support while addressing concerns about sidewalk safety. This placement enhances the flow of the passage by concluding the discussion on community opinions regarding bike lanes. Option A, after sentence 1, disrupts the introduction of the topic, as it introduces a specific opinion too early. Option B, after sentence 3, fails to provide context for the differing opinions, leading to confusion. Option C, after sentence 9, does not align with the passage's progression, as it occurs before a more comprehensive discussion of the implications of bike lanes.
Inserting the sentence after sentence 12 effectively captures the contrasting viewpoints on bike lanes, highlighting public support while addressing concerns about sidewalk safety. This placement enhances the flow of the passage by concluding the discussion on community opinions regarding bike lanes. Option A, after sentence 1, disrupts the introduction of the topic, as it introduces a specific opinion too early. Option B, after sentence 3, fails to provide context for the differing opinions, leading to confusion. Option C, after sentence 9, does not align with the passage's progression, as it occurs before a more comprehensive discussion of the implications of bike lanes.