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' 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' 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?


The first is a claim that the historian rejects; the second is a position that that claim has been used to support.

The first is evidence that has been used to support a conclusion about which the historian expresses reservations; the second is that conclusion.

The first provides evidence in support of a position that the historian defends; the second is that position.

The first and the second each provide evidence in support of a position that the historian defends.

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.

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