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Handbook of the History of Logic: - Fordham University Faculty

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The Development <strong>of</strong> Supposition Theory in <strong>the</strong> Later 12 th through 14 th Centuries 191<br />

strict sense, called a nominal definition. In <strong>the</strong> nominal definition <strong>of</strong> a<br />

connotative term it is frequently necessary to put one expression in <strong>the</strong><br />

nominative case, and ano<strong>the</strong>r one in one <strong>of</strong> <strong>the</strong> oblique cases. The term<br />

‘white’ provides an example. The term has a nominal definition, one<br />

expression <strong>of</strong> which is in <strong>the</strong> nominative case and ano<strong>the</strong>r in one <strong>of</strong> <strong>the</strong><br />

oblique cases. Thus, if someone should ask for <strong>the</strong> nominal definition<br />

<strong>of</strong> ‘white’, <strong>the</strong> answer would be ‘something informed with whiteness’<br />

or ‘something having whiteness’. [Ockham SL 1.10 (70)]<br />

A connotative term has a “nominal definition”, which is a phrase which expresses<br />

<strong>the</strong> “what” <strong>of</strong> a term. [Ibid. Loux translates this as “<strong>the</strong> meaning <strong>of</strong> a name”.]<br />

Examples <strong>of</strong> connotative terms are: ‘just’, ‘white’, ‘animate’, ‘human’, and so<br />

on. [Ibid] Ockham defines a connotative term as one that signifies something<br />

primarily and something secondarily. It appears from his examples that a term<br />

signifies a thing secondarily if and only if something in <strong>the</strong> nominal definition<br />

<strong>of</strong> <strong>the</strong> term signifies <strong>the</strong> thing primarily. The adjective ‘white’ signifies white<br />

things primarily, and it signifies whitenesses secondarily — apparently because <strong>the</strong><br />

term ‘whiteness’ in its nominal definition (”something informed with whiteness”)<br />

signifies whitenesses primarily.<br />

Examples <strong>of</strong> absolute terms are: ‘man’, ‘animal’, ‘goat’, ‘stone’, ‘tree’, ‘fire’,<br />

‘earth’, ‘water’, ‘heaven’, ‘whiteness’, ‘blackness’, ‘heat’, ‘sweetness’, ‘smell’, ‘taste’,<br />

and <strong>the</strong> like. [Ockham SL 1.10 (69-70)] Absolute terms do not signify one thing<br />

primarily and ano<strong>the</strong>r thing secondarily. Presumably, this is because <strong>the</strong>y do not<br />

have nominal definitions. Instead, absolute terms have “quidditative” or “real”<br />

definitions. The terminology “real definition” does not mean “genuine definition”;<br />

ra<strong>the</strong>r, it is a characterization <strong>of</strong> <strong>the</strong> thing in reality that <strong>the</strong> term being defined<br />

stands for. For realists, this is typically a form existing outside <strong>of</strong> <strong>the</strong> mind. Nominalists<br />

don’t say this; instead <strong>the</strong>y take it that a real definition characterizes all<br />

and only <strong>the</strong> things that an absolute term supposits for. A real definition is not<br />

synonymous with <strong>the</strong> word being defined, since different non-synonymous real definitions<br />

are possible for a term. One can correctly characterize men by saying that<br />

a man is any animal that is rational. This, however, does not give <strong>the</strong> “what” <strong>of</strong><br />

<strong>the</strong> linguistic term ‘man’.<br />

The fact that all connotative terms have nominal definitions suggests an analysis<br />

<strong>of</strong> connotativeness <strong>of</strong> a term in terms <strong>of</strong> complexity <strong>of</strong> <strong>the</strong> concept that it is<br />

subordinated to. If a connotative spoken or written term directly signifies <strong>the</strong> same<br />

concept as does its nominal definition, <strong>the</strong>n since <strong>the</strong> latter is a complex concept,<br />

connotative terms would all directly signify complex concepts. Buridan [SD Soph<br />

1 ninth conclusion (840)] says: “only a spoken term to which <strong>the</strong>re corresponds<br />

not a simple but a complex concept is one that has a nominal definition in <strong>the</strong><br />

strict sense.<br />

Fur<strong>the</strong>r, if all nominal definitions contained only absolute terms, or contained<br />

only absolute terms when all connotative terms were analyzed in terms <strong>of</strong> <strong>the</strong>ir<br />

nominal definitions, <strong>the</strong>n all terms would ei<strong>the</strong>r be absolute or would have complex<br />

analyses in terms <strong>of</strong> absolute terms. Some commentators have speculated that

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