Quote:
Historian: Newton developed mathematical concepts and techniques that are fundamental to modern calculus. Leibniz developed closely analogous concepts and techniques. It has traditionally been thought that these discoveries were independent. Researchers have, however, recently discovered notes of Leibniz’s that discuss one of Newton’s books on mathematics. Several scholars have argued that since
the book includes a presentation of Newton’s calculus concepts and techniques, and since the notes were written before Leibniz’s own development of calculus concepts and techniques, it is virtually certain
that the traditional view is false. A more cautious conclusion than this is called for, however. Leibniz’s notes are limited to early sections of Newton’s book, sections that precede the ones in which Newton’s calculus concepts and techniques are presented.
Argument Analysis:
Historian: 1. Newton did X...
2. Leibniz developed something closely analogous to X.
3. Traditional View: Both events 1 and 2 were independent of each other.
Researchers:
1. Recently discovered notes of Leibniz’s that discuss one of Newton’s books on mathematics.
Scholar's argument presents two pieces of evidence to support the conclusion they draw further.
1. Since the book includes a presentation of Newton’s calculus concepts and techniques.
2. Since the notes were written before Leibniz’s own development of calculus concepts and techniques.
Conclusion: the traditional view is false (traditional view: both events are independent)
Further piece of evidence is provided: Leibniz’s notes are limited to early sections of Newton’s book, sections that precede the ones in which Newton’s calculus concepts and techniques are presented.
In the historian’s reasoning, the two portions in
boldface play which of the following roles?
Quote:
(A) The first is a claim that the historian rejects; the second is a position that that claim has been used to support.
First is not the claim, it is a piece of evidence used to support the final conclusion.
Quote:
(B) The first is evidence that has been used to support a conclusion about which the historian expresses reservations; the second is that conclusion.
First is the evidence: YES; Second is the conclusion: YES; seems good on the first read. Let's see what else this option says. Historians express reservations on the final conclusion as they definitely hold to their traditional view. True. This option seems good to be held until a better one appears.
Quote:
(C) The first provides evidence in support of a position that the historian defends; the second is that position.
Historians defend their traditional view, but first provides evidence in support of the conclusion drawn by the scholars. Historians don't defend the second portion of the boldface argument.
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(D) The first and the second each provide evidence in support of a position that the historian defends.
Second is the main conclusion and not the evidence.
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(E) The first has been used in support of a position that the historian rejects; the second is a conclusion that the historian draws from that position.
Historian certainly hold reservations of their own, but no where in the argument it says that historians reject that particular position. Second is not the conclusion that historian draw. It's been drawn by the scholars.