Changes

| width="5%"  |   || O, pass not by!

| width="5%"  |   || O, pass not by!

|-

|-

| colspan="2" | But, with a frater feeling strong,

| colspan="2" | But, with a frater-feeling strong,

|-

|-

| width="5%"  |   || Here, heave a sigh.

| width="5%"  |   || Here, heave a sigh.

Depending on the kinds of entities that are covered by an abstraction and the orders of logical complexity that are involved in this coverage, abstractions can be classified according to their domains of application and qualified according to their manners of construction and derivation.  The next topics for discussion are two varieties of abstraction, called ''recursion'' and ''polymorphism'', that are especially important for the purpose of building computational models of interpretation and that deserve special mention in the present inquiry.

Depending on the kinds of entities that are covered by an abstraction and the orders of logical complexity that are involved in this coverage, abstractions can be classified according to their domains of application and qualified according to their manners of construction and derivation.  The next topics for discussion are two varieties of abstraction, called ''recursion'' and ''polymorphism'', that are especially important for the purpose of building computational models of interpretation and that deserve special mention in the present inquiry.

The poor inhabitant below

| colspan="2" | The poor inhabitant below

Was quick to learn and wise to know,

And keenly felt the friendly glow,

| colspan="2" | Was quick to learn and wise to know,

And softer flame;

But thoughtless follies laid him low,

| colspan="2" | And keenly felt the friendly glow,

And stain'd his name!

Robert Burns, A Bard's Epitaph, [CPW, 220]

| width="5%"  |   || And softer flame;

| colspan="2" | But thoughtless follies laid him low,

| width="5%"  |   || And stain'd his name!

| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]

 

"Recursion" occurs when the same sign is used at different stages of a designated process, referring to different amounts of work to be done, marking the different amounts of work already done that establish the different settings of work going on, and often appearing at different levels of the agenda, charge, or mission that plots out this process.  When a process is described by a text, that is, by a recorded agenda, outline, program, recipe, or script, then the recursion is typically reflected in the recursive sign's appearance at different structural levels of the text that serves to recapitulate or specify the process.  For instance, a recursive sign can show up initially in the heading and then turn up at least one more time in the body of a text that codes a specification of a procedure, a text that formulates a definition of a function, or a text that constitutes a program, routine, or subprogram.

'''Polymorphism''' is a type of higher order abstraction that occurs when the same sign is used to denote elements of many different conceptual classes or objects of many distinct logical types.  Comprehending the possible options calls for many alternative "conventions of intention", many heterogeneous "directions of connotation", and many splintered if still overlapping "moments of interpretation" to sort out the profusion of senses that is engendered.  In the intermediate time frame, this type of diversity can appear to require a panoply of intellectual conceptions to organize the resulting multitude of meanings and to demand a variety of connotative planes to arrange their separate senses across, but it ultimately leads to a richer idea of the original aim or the intended object, as the potential for interpretation can be attributed to it.

Reader, attend!  whether thy soul

Reader, attend!  whether thy soul

Soars Fancy's flights beyond the pole,

Soars Fancy's flights beyond the pole,