Sometimes I pick up a book, immediately recognize I am in over my head, but continue to read anyway. This comes from an insight I had over thirty years ago when a friend lamented he struggled with poetry and asked me how I could read it. I responded: "practice." When reading is more than a past time, when it is an attempt to see and think about the world differently, sometimes a reader has to cuddle up to the idea that what you are experiencing is more than you can understand in one reading. Amartya Sen's Collective Choice and Social Welfare was just such an experience for me.
It is not that Sen is not a lucid and clear writer. He is. And thank goodness. If he weren't, I would have dropped the book 20 pages in. It is, rather, that the book is very technical and assumes a better than working knowledge of Collective Choice theory. Thankfully, Sen divides the chapters between explanations of the theory, through an evaluation of economic and philosophical arguments, and the technical analytic proofs that underlie the arguments. I was, frankly, lost in the latter chapters, where a reader would have to be both well versed in symbolic logic and willing to take the time to work through the axiomatic logic of Sen's analysis. Unfortunately, I have neither. But, in reading through these theorems, I was able to acquire some technical language and conclusions that helped in reading the other chapters where Sen takes up a more traditional explanatory writing. It is not that I wouldn't go back to read the technical analytic chapters again. Rather, I felt like I would need to do so with pencil and pen in hand, to work through the logic.
The non-technical chapters were still highly technical, but Sen does an excellent job of providing a framework where he explains Arrow's Impossibility theorem, values and utility orderings, and their implications for social and political choice rules. This combination of technical/non-technical reveals the quandaries of collective choice rules in adhering to democratic principles when directing public policy by evaluating the validity claims of collective representation that policy decisions have or don't have.
This gets us into what are the foundational principles one can use to determine justice and fairness in a social and economic system and how one can test those principles for consistency or possibility in drawing conclusions. I will need more practice before I can claim any intelligence in this area, but as a first foray into the principles of collective choice, I feel I have a firm foundation from which to learn more. I will just need more practice.