I'm not the one to be asking about calculus. You could be right, just that I'm not able to tell your intent since I couldn't pass it to keep my *** out of 'Nam. In a human endeavor that uses reason the use of logic involving only three conditions has been available in the raw materials of computer construction. The binary conditions of true or not true, or indeterminate (overuns, does not compute failures.) Whereas the real world is one of dynamic uncertainty exemplified by the condition known as turbulence, that has some expression in the pop Butterfly Effect. There is just to much data at fine levels to be analyzed and so statistical states must be used. Quantum theory has this down to a, hmm, science.
What I think Maxwell is saying, and it addresses the problems with any field type theory, is that any equation must be NOT of simple yes or no algorithms but must be expressed in terms of probabilities. This is very relevant to a lot more than scientific endeavors. In our courts a jury that does not understand the subtleties of Bayesian logic can be fooled into thinking DNA evidence and other probability expressions are of the simple yes or no propositions and can even be tricked by unscrupulous or ignorant attorneys. Even few doctors know how to figure the real odds that a certain test shows you have of having a disease based on the error rates and full analysis of the testing procedures. Best read on Bayesian analysis and examples in the medical field as well as Bayesian logic that deals with probabilities. Bayesian reasoning often is counter to "common sense" logic.
Say you know a family has two children, and further that at least one of them is a girl. What is the probability that they have two girls? Boy/girl, girl/boy, and girl/girl give a .33 chance (1 in 3) that at least one is a girl. How then does the fact that the one girl that they do have is named Florida alter the chances to .5 (1 in two?)
http://bblais.blogspot.com/2010/01/there-once-was-girl-named-florida-aka.html
The memristive type computer is inherently a probability computer when fully realized. There are other efforts in the same area to get rid of the right wrong dualities that digital computers have so far relied on programming schemes to counter.