Consider the following situations, then respond to these questions:
- Do you agree or disagree with the inference/conclusion? Why or why not?
- What assumption(s) may have led to the inference/conclusion?
- What are some alternative ways of thinking about this situation?
Bill needs six scholarly articles for his paper on the psychological effects of domestic violence. He searches Google for "psychological effects of domestic violence," looks through the first few hits, and finds six sources, including some articles on the websites of legitimate organizations. A few of these articles include bibliographies.
- Bill's Inference/Conclusion: I'm going to stop researching because I have my six sources.
Christie is researching representations of gender in popular music. She decides to search Google and, within a few minutes, locates more sources that she could possibly incorporate into her final paper.
- Christie's Inference/Conclusion: I can just use Google for my research.
Jennifer has decided to write her literary analysis paper on drug use in David Foster Wallace's novel, Infinite Jest (1996). She tries a few Google searches for Infinite Jest, drugs, and drug use, but she has trouble finding scholarly sources. She gives up on Google and moves on to EBSCO Academic Search Premier, one of the databases she heard about in a library instruction class. She runs a search for Infinite Jest and drug use, but she still can't find much.
- Jennifer's Inference/Conclusion: I need to change my topic.
Update: I thought I would check this out in V10.1. I found no difference in , but I was able to an answer relatively quickly (compare with my original attempt). It's in a different form than the original, but it's equivalent.
Using the same substitution as Chip Hurst in his Apr 22 answer, and after some coaxing, I got to this solution:
Original solution found
For what it's worth, using the same substitution as Chip Hurst in his Apr 22 answer, and after some coaxing, I originally got to this solution:
Unfortunately, crashes, trying different things, memory leaks or something messing up and or other confusing behavior, plus stupidly copying and saving the wrong step means there is one step missing in the path to the solution.
[It is arguably a simpler solution, but I did not discover a way to transform the new solution to this one.]
One of the problems is that applying the assumption that is an integer causes different things to happen under the hood in simplification. But some simplifications are valid whether is an integer or not. The following example shows that an early application of the assumption slows things down quite a bit. Simplifications are usually done under time constraints, which may lead to failure.
It is a sheer guess that this has something to do with the problem.