Home Page of Dennis J. Darland's "Almost" Theorems

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## "Almost" Theorems

- 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)
- The general solution of an
*n*th order *ordinary* differential equation is a family of functions depending on *n* independent *arbitrary constants*.
- The general solution of an
*n*th order *partial* differential equation in *m* independent variables is a family of functions depending on *n* independent *arbitrary functions* of *m - 1* variables.
- A definite description (as defined by Bertrand Russell in
__Principia Mathematica__) always functions (refers) as would a name.
- A class (as defined by Bertrand Russell in
__Principia Mathematica__) always functions as if it were an object (set).
- Objects that are not fully analyzed can always be treated as (simple) objects in logic.
- An physical object in Newtonian physics can be considered a point particle located at the object's center of gravity.
- All prime numbers are odd.
- One should search for "minutes" when wanting to find information on a meeting.
- 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.)