It is surrounded by hills of rice porridge and you only gain access by eating yourself a tunnel. Once inside, roasted fowl fly into your mouth, there are fountains of wine to satisfy your thirst, and, miracle, you don’t lose appetite. It is the Land of Cockaigne.
My research has seemed like that. When I discovered that I like to see issues in a systematic format it became a pleasure to turn them into systems indeed. We can see this for example also with David Luenberger who’s laudable books present subjects in a systematic and transparant manner.
I tend to go a bit further by actually re-engineering a subject. There are important world issues that require resolution. When such a subject wasn’t transparent then this meant (1) that it required re-engineering to make it so, (2) that new ideas might have to be inserted along the way.
The distinction between textbooks for received wisdom and journals for innovations here falls apart. A key phenomenon in my work is that my innovations may only be understood by this development of the issues from a bottom-up redesign.
The subjects that I found interesting for this approach have been:
|A Logic of Exceptions||1981, 2007, 2011: proper development of logic and set theory, solution of the liar paradox for the first time since 2300 years, solution of the Russell paradox and the Gödeliar, 2007, 2011: redefinition of the derivative and resolution of the paradoxes of division by zero|
|Trias Politica & Centraal Planbureau (Dutch) and Definition & Reality in the General Theory of Political Economy||1990, 1994, 2000, 2005, 2011: solution of the Great Stagflation including the current economic crisis, proper scope on the impact of taxation on the economy, extension of Montesquieu’s Trias Politica into a Tessera Politica with an Economic Supreme Court|
|Voting Theory for Democracy||1990, 2001, 2011: proper development of voting theory, solution of the paradox by Arrow’s impossibility theorem, suggestion of a good way to select (political) leaders (via representative parliaments who use the Borda Fixed Point method to select the Prime Minister)|
|Papers on risk and one on the value of life||1993, 2000: the proper definition (later seen to be used by H.A. Lorentz), inclusion in the utility function, solution of the Allais paradox|
|Elegance with Substance and Conquest of the Plane||2009, 2011: re-engineering of the education in mathematics, resolution of various didactic issues, clarification how Descartes’ application of algebra to space can be extended with the application of algebra to the derivative (see ALOE), clarificatin that Space, once defined, cannot be simply redefined|
|Contra Cantor Pro Occam and Neoclassical mathematics for the Schools||2011: clarification of the notion of infinity, resolution of the paradox by Cantor|
|Support for Tinbergen and Hueting||2000, 2009: support for these two authors on the economics of ecological survival|
|World governance||2005: suggestion to world citizens to simply start with a world parliament, see also DRGTPE|
The moral of the story: Reading and studying these books will also be a Land of Cockaigne for readers and students, with hard work to tunnel through the rice porridge but with lots of clarity once there. Subsequently, we can adapt our economies such that our ancestors would call these veritable Lands of Cockaigne indeed.
PM. There is always a surprise. This memo started from the notion of the Land of Cockaigne. A check on its spelling generated the wikipedia article on Bruegel’s painting, and an observation by Ross Frank there:
“that the painting is a political satire directed at the participants in the first stages of the Dutch Revolt, where the roasted fowl represents the humiliation and failure of the nobleman (who would otherwise form the fourth spoke of the wheel) in his leadership of the Netherlands, and the overall scene depicts the complacency of the Netherlandish people, too content with their abundance to take the risks that would bring about significant religious and political change.”
Apparently there hasn’t been much change since 1567.