E=C/D

[doronshadmi]

Entropy (an undefined term, exactly as lines and points are undefined by Hilbert's axioms of Geometry) is notated as E.

E=C/D where C is any given Cardinal and D is any R member of [0,1].

Please play with it.

[Giggywig]

And what is R?

[doronshadmi]

And what is R?
The set of real numbers.

[Reality Check]

E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number (http://en.wikipedia.org/wiki/Cardinal_number)) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1.

E is undefined if C is a Cardinal for an infinite set.

A fairly trivial thing to play with.

[TMiguel]

He jumps out of a hole just to fall right in to another.

[wollery]

I'm sorry, was there a point to posting an equation so ridiculously simple that it would have bored me when I was 16 years old?

[doronshadmi]

E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number (http://en.wikipedia.org/wiki/Cardinal_number)) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1.

E is undefined if C is a Cardinal for an infinite set.

A fairly trivial thing to play with.
Yes, this is what you get by your asymmetric first-order approach.