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For the sake of shortening future references to the epigraph at the top of this subsection, let the acronym “JOP” be taken as equivalent to the phrase “jug of punch”, and let the italicized tag ''“TJOP”'' be taken as tantamount to the title ''“The Jug of Punch”''.
 
For the sake of shortening future references to the epigraph at the top of this subsection, let the acronym “JOP” be taken as equivalent to the phrase “jug of punch”, and let the italicized tag ''“TJOP”'' be taken as tantamount to the title ''“The Jug of Punch”''.
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There are features of this style of abbreviation that need to be noted.  Instead of letting the acronym “JOP” denote the phrase “jug of punch”, and rather than letting the italicized acronym ''“TJOP”'' denote the title ''“The Jug of Punch”'', I am merely asking for the reader to take part in forming an augmented scheme of interpretation, one that adds new signs to a formerly established sign relation, but does it in a way that does nothing of serious consequence to its underlying semantic properties.  This involves the construction of a ''semiotic partition'' (SEP), along with its corresponding ''semiotic equivalence relation'' (SER), in which the associated set of ''semiotic equivalence classes'' (SECs) serves to stake out a number of parts.  In the present illustration there are two sets of synonyms, constellating a pair of mutually exclusive classes of signs that denote their respective objects in parallel, as in Table 17.
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There are features of this style of abbreviation that need to be noted.  Instead of letting the acronym “JOP” denote the phrase “jug of punch”, and rather than letting the italicized acronym ''“TJOP”'' denote the title ''“The Jug of Punch”'', I am merely asking for the reader to take part in forming an augmented scheme of interpretation, one that adds new signs to a formerly established sign relation, but does it in a way that does nothing of serious consequence to its underlying semantic properties.  This involves the construction of a ''semiotic partition'' (SEP), along with its corresponding ''semiotic equivalence relation'' (SER), in which the associated set of ''semiotic equivalence classes'' (SECs) serves to stake out a number of parts.  In the present illustration there are two sets of synonyms, constellating a pair of mutually exclusive classes of signs that denote their respective objects in parallel, as in Table 17.
    
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<pre>
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| colspan="2" | And on his knee a tidy wench.
 
| colspan="2" | And on his knee a tidy wench.
 
|}
 
|}
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Let <math>J\!</math> be a hypothetical sign relation that is adequate to interpret the ''The Jug of Punch''.  Table&nbsp;18 gives a bit of <math>J\!</math> that is called for in order to accomplish this interpretation.  Table&nbsp;19 shows an ACE of this bit.  Table&nbsp;20 gives a bit of this ACE that suffices to get the gist of it.
    
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<pre>
Let J be a hypothetical sign relation that is adequate to interpret the The Jug of Punch.  Table 18 gives a bit of J that is called for in order to accomplish this interpretation.  Table 19 shows an ACE of this bit.  Table 20 gives a bit of this ACE that suffices to get the gist of it.
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Table 18.  Bit of the Sign Relation J
 
Table 18.  Bit of the Sign Relation J
 
Object Sign Interpretant
 
Object Sign Interpretant
 
jug of punch "jug of punch" "jug of punch"
 
jug of punch "jug of punch" "jug of punch"
 
The Jug of Punch "The Jug of Punch" "The Jug of Punch"
 
The Jug of Punch "The Jug of Punch" "The Jug of Punch"
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Table 19.  ACE of a Bit of J
 
Table 19.  ACE of a Bit of J
 
Object Sign Interpretant
 
Object Sign Interpretant
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TJOP "The Jug of Punch" "TJOP"
 
TJOP "The Jug of Punch" "TJOP"
 
TJOP "The Jug of Punch" "The Jug of Punch"
 
TJOP "The Jug of Punch" "The Jug of Punch"
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Table 20.  Bit of an ACE of a Bit of J
 
Table 20.  Bit of an ACE of a Bit of J
 
Object Sign Interpretant
 
Object Sign Interpretant
 
JOP "jug of punch" "JOP"
 
JOP "jug of punch" "JOP"
 
TJOP "The Jug of Punch" "TJOP"
 
TJOP "The Jug of Punch" "TJOP"
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When I am dead and left in my mould,
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At my head and feet place a flowing bowl,
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{| align="center" border="0" cellpadding="0" cellspacing="0" style="text-align:left; width:90%"
When I am dead and left in my mould,
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| colspan="3" | When I am dead and left in my mould,
At my head and feet place a flowing bowl,
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|-
And every young man that passes by,
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| width="5%" | &nbsp;
He can have a drink and remember I.
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| colspan="2" | At my head and feet place a flowing bowl,
(Traditional), The Jug of Punch, [Alt, n.p.]
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|-
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| colspan="3" | When I am dead and left in my mould,
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|-
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| width="5%" | &nbsp;
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| colspan="2" | At my head and feet place a flowing bowl,
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|-
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| colspan="3" | And every young man that passes by,
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|-
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| width="5%" | &nbsp;
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| colspan="2" | He can have a drink and remember I.
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|}
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Table 21
 
Table 21
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Table 21.  Budget of a Sign Relation:  The Bottom of the Bit
 
Table 21.  Budget of a Sign Relation:  The Bottom of the Bit
 
Object Sign Interpretant
 
Object Sign Interpretant
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he can have a drink he can have a drink
 
he can have a drink he can have a drink
 
and remember I." and remember me."
 
and remember I." and remember me."
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Needless to say, acute enough hearers of this humble hymn or insightful enough interpreters of its lilting lyrics would no doubt find traces of Arthurian legend and clues to the Grail mythology woven all through its homespun text, but that is not my present task, to guess at its deepest drafts of meaning.  Although there are features of this particular text that possess an incidental interest here, the reason for introducing it into the current context is more to illustrate the kinds of issues that are involved in a complex text, one with recursions and multiple levels of interpretation.
 
Needless to say, acute enough hearers of this humble hymn or insightful enough interpreters of its lilting lyrics would no doubt find traces of Arthurian legend and clues to the Grail mythology woven all through its homespun text, but that is not my present task, to guess at its deepest drafts of meaning.  Although there are features of this particular text that possess an incidental interest here, the reason for introducing it into the current context is more to illustrate the kinds of issues that are involved in a complex text, one with recursions and multiple levels of interpretation.
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=====5.1.1.2. Analogical Recursion=====
 
=====5.1.1.2. Analogical Recursion=====
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