macjas
Archaeologist: There were several porcelain-production centers in eighteenth-century Britain, among them Bristol, Plymouth, and New Hall. Each center developed a unique recipe for its porcelain that might include flint glass, soapstone, bone ash, clay, quartz, and so on. We will therefore be able to determine, on the basis of compositional analysis, where the next cup we recover from this archaeological site was made.
Indicate two different statements as follows: one statement identifies an assumption required by the archaeologist's argument and the other identifies a possible fact that, if true, would, provide significant logical support for the required assumption.
There were many porcelain-production centers in 18th-century Britain.
Each center developed a unique recipe for its porcelain.
Conclusion: We will therefore be able to determine, on the basis of compositional analysis, where the next cup we recover from this archaeological site was made.The conclusion is talking about being able to figure out the source of the next cup that is recovered, mind you, not the next porcelain cup but the next cup. What is the assumption here? The gap? That the cup we recover will be a porcelain cup. The premises only talk about porcelain at these centres.
Hence look for the assumption first. Only once you find will you find what strengthens it.
Third option works: The next cup to be recovered from the site will likely be made of porcelain.
Why is the last option not valid: Most porcelain in 18th century Britain was made at one of the several centers.
Negation: Less than 50% porcelain in 18th century Britain was made at one of the several centers.
Ok, even if less than 50% of porcelain was made at one these centres, it is will possible that the cup we recover next, if made of porcelain, was made at one of these centres. So our conclusion doesn't fall.
Hence,
ASSUMPTION: The next cup to be recovered from the site will likely be made of porcelain.What makes it more likely that the next cup to be recovered will be made of porcelain?
POSSIBLE FACT: Other cups have been recovered from the archaeological site, all of which were made of porcelain.If we have already got other cups and they were all made of porcelain, then it is likely that the next cup will also be made of porcelain.