Passage tells you : Titanium not used before 16th century. Analysis tells: 1) Bible by Gutenberg contains titanium. 2) B-36 from 15th century contains titanium. 3) Presence of titanium can't be used as evidence to tell that Vinland map didn't belong to 15th century.
Author's conclusion: From (1) & (2) he tells that --> B-36 was written by Gutenberg since Titanium was used only by Gutenberg. (Conclusion A: Restricted usage of titanium by Gutenberg)
From (2) & (3) --> Since Vinland maps had titanium it was doubted if it belonged to 15th century since 15th century books dint have titanium(as given in the 1st line of the passage). B-36 belongs to 15th century and it had titanium. So 15th century used titanium in ink. So presence of titanium in Vinland maps can't be used as a reason to doubt if it belonged to the 15th century. (Conclusion B: Titanium was not only by used by Gutenberg but also someone used it in printing vinland maps. Thus usage wasn't restricted)
My Explanation : From Conclusion A and Conclusion B, we can tell that author has arrived to his conclusions by both restricting the usage of titanium and not restricting the usage of titanium which can be a flaw to his reasoning. How can he change the variable value and arrive in his conclusions. (For ex: using X="Restricted usage of titanium" for equation (1) and (2) and using X="Not restricted usage of titanium" in equation (2) and (3))
The question is "The
reasoning in the passage is vulnerable to criticism on the ground that" - FIND A FLAW IN THE REASONING AND NOT TO STRENGTHEN/WEAKEN HIS CONCLUSIONS. (For ex: "If you eat XYZ food, you will feel sad and thus you will gain weight" and you are asked to find flaw in this reasoning, you should either prove "eating XYZ doesn't result in feeling sad" or "feeling sad doesn't result in gaining weight" and
NOT proving that "eating XYZ wont make me gain weight")
(A) the results of the analysis are interpreted as indicating that the use of titanium as an ingredient in fifteenth-century ink both was, and was not, extremely restricted --
This falls in line with my explanation.(B) if the technology that makes it possible to detect titanium in printing ink has only recently become available, it is unlikely that printers or artists in the fifteenth century would know whether their ink contained titanium or not --
doesn't matter if they knew about it or not. They used it in 15th century. Vinland Maps and B-36 has it. Still doesn't bring criticism to author's reasoning. (C) it is unreasonable to
suppose that determination of the date and location of a document’s printing or drawing can be made solely on the basis of the presence or absence of a single element in the ink used in the document --
"Date of a document" here can only refer to Vinland Maps in this passage. Author didn't SUPPOSE that "Presence of titanium proves that Vinland maps belong to 15th century", he said that "Presence of titanium can't be used as a doubt that if Vinland Map belonged to 15th century"(D) both the B-36 Bible and the Vinland Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known --
Author didn't link merits of these objects with "Gutenbery" or them belonging to 15th century. This option will only weaken Author's reasoning if he had linked "Merits" to "date of creation" and "Gutenberg" which he clearly din't in this passage.(E) the discovery of titanium in the ink of the Vinland Map must have occurred before titanium was discovered in the ink of the Gutenberg Bible and the B-36 Bible --
doesn't matter which was discovered first. The author gives his reasoning after all three discoveries have been made. Doesn't matter which variable is assigned the value first.