Home Page of Dennis J. Darland's "Almost" Theorems djd
Email: Mail To: pal at dennisdarland dot com
Comments welcome
For other things I'm doing see my home page.

"Almost" Theorems

  1. If a function has a value at a location, on a device such as a calculator, then it has a derivative at that point.
    Exception: arcsin(1)
  2. The general solution of an nth order ordinary differential equation is a family of functions depending on n independent arbitrary constants.
  3. The general solution of an nth order partial differential equation in m independent variables is a family of functions depending on n independent arbitrary functions of m - 1 variables.
  4. A definite description (as defined by Bertrand Russell in Principia Mathematica) always functions (refers) as would a name.
  5. A class (as defined by Bertrand Russell in Principia Mathematica) always functions as if it were an object (set).
  6. Objects that are not fully analyzed can always be treated as (simple) objects in logic.
  7. An physical object in Newtonian physics can be considered a point particle located at the object's center of gravity.
  8. All prime numbers are odd.
  9. One should search for "minutes" when wanting to find information on a meeting.
  10. Unless there is something to contrast a term or sentence to ("the Contrast Theory of Meaning"), the term or sentence has no meaning. (This was Ludwig Wittgenstein's big mistake.)