I want thank people on this site for their help for me, especially in the use of English articles. I am still having some problems with of-phrases involving noncounts.
Please help indicate which of the 3 sentences after "A" says what "A" says.
A. I have developed a method that can be used to analyze a wide diversity of problems in sociology.
Do the following say exactly what "A" says and why?
1) I have developed a method that can be used for analysis of a wide diversity of problems.
2) I have developed a method that can be used for the analysis of a wide diversity of problems.
3) I have developed a method that can be used for analyzing a wide diversity of problems.
B. Two important aspects of the framework were developed in our first article. One aspect is the distinction among three categories of decision making. The second is the elucidation of the fundamental elements that can be used for analysis of outcomes.
I do not know why "the" before elucidation, and not before "analysis of outcomes".
C. A framework is needed to allow for expression and comparison of diverse theories.
I do not know why "the" is not used before "expression and comparison of diverse theories".
D. Does "Analyses" in general (countable noun) means "Analysis" generally (the process of analyzing) (uncountable noun).
I asked this questions because in a story, it was written,"Support for weak people was supported by legislative intervention in the Ben case. Legislative interventions in the Ben case also indicated the need to make new rules for weak people. An intervention in the Ben case involved two legislators from district two who condemned inaction by the executive when weak people like Ben need support from government."
Since "intervention" is an uncountable noun, I am not sure why it became countable in the second sentence in a general sense.