In fact, given that “ic” stands for “Iverson’s Convention” and given that Iverson was the primary author of APL, I’d expect that APL rather accurately matches Iverson’s thinking on the topic.

Note also that using 0 and 1 for truth values works well for dealing with probability. (0.5 would express even odds, for example, logical negation is equivalent to subtracting the truth value from one. Also logical multiplication is the same thing as arithmetic multiplication.)

Thus this approach is also extremely general in the sense of being useful.

]]>Anyway, very good idea to write about this important concept and to help popularizing the name!

]]>For example, if x is any real number, then the function (x>0)-(x<0) (commonly called the sign function or sgn x) assumes the values 1, 0, or -1 according as x is strictly positive, 0, or strictly negative. Moreover, the magnitude function |x| may be defined as |x| = x * sgn x = x * ((x>0)-(x<0)).

]]>>> A variable is classified according to the range of values it may assume: it is logical, integral, or numerical, according as the range is the set of logical variables (that is, 0 and 1), the set of integers, or the set of real numbers.

Each of the foregoing classes is clearly a subclass of each class following it, and any operation defined on a class clearly applies to any of its subclasses.

and:

>> More generally, if a and b are arbitrary entities and R is any relation defined on them, the relational statement (aRb) is a logical variable which is true (equal to 1) if and only if a stands in the relation R to b. For example, if x is any real number, then the function (x>0)-(x0)-(x<0)).

The relational statement is a useful generalization of the Kronecker delta, that is, delta_i,j = (i=j).

Do you wear your own football package when actively playing football along with friends on the park

or even wear your shirt casually around town or perhaps is this your ritual to

wear your groups colors when going down to the pub.

There are some excellent websites that offer live football

matches, as well as live match scores, for one low price. ]]>