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MyWikiBiz, Author Your Legacy — Wednesday November 13, 2024
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The dyadic relation that makes up the ''denotative'', ''referential'', or ''semantic'' aspect or component of a sign relation '''L''' is notated as ''Den''('''L'''). Information about the denotative aspect of meaning is obtained from '''L''' by taking its projection on the object-sign plane, in other words, on the 2-dimensional space that is generated by the object domain '''O''' and the sign domain '''S'''. This semantic component of a sign relation '''L''' is written in any one of the forms, '''L'''<sub>OS</sub>, ''proj''<sub>OS</sub>'''L''', '''L'''<sub>12</sub>, ''proj''<sub>12</sub>'''L''', and it is defined as follows:
The dyadic relation that makes up the ''denotative'', ''referential'', or ''semantic'' aspect or component of a sign relation '''L''' is notated as ''Den''('''L'''). Information about the denotative aspect of meaning is obtained from '''L''' by taking its projection on the object-sign plane, in other words, on the 2-dimensional space that is generated by the object domain '''O''' and the sign domain '''S'''. This semantic component of a sign relation '''L''' is written in any one of the forms, '''L'''<sub>OS</sub>, ''proj''<sub>OS</sub>'''L''', '''L'''<sub>12</sub>, ''proj''<sub>12</sub>'''L''', and it is defined as follows:
: ''Den''('''L''') = ''proj''<sub>OS</sub>'''L''' = { (''o'', ''s'') ∈ '''O''' × '''S''' : (''o'', ''s'', ''i'') ∈ '''L''' for some ''i'' ∈ '''I''' }.
: ''Den''('''L''') = ''proj''<sub>OS</sub>'''L''' = { (''o'', ''s'') ∈ '''O''' × '''S''' : (''o'', ''s'', ''i'') ∈ '''L''' for some ''i'' ∈ '''I''' }.
Looking to the denotative aspects of '''L'''<sub>A</sub> and '''L'''<sub>B</sub>, various rows of the Tables specify, for example, that A uses "i" to denote A and "u" to denote B, whereas B uses "i" to denote B and "u" to denote A. All of these denotative references are summed up in the projections on the '''OS'''-plane, as shown in the following Tables:
Looking to the denotative aspects of '''L'''<sub>A</sub> and '''L'''<sub>B</sub>, various rows of the Tables specify, for example, that A uses "i" to denote A and "u" to denote B, whereas B uses "i" to denote B and "u" to denote A. All of these denotative references are summed up in the projections on the '''OS'''-plane, as shown in the following Tables:
