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Handbook of the History of Logic: - Fordham University Faculty

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224 Terence Parsons<br />

that result due to a term’s moving from one mode to ano<strong>the</strong>r, producing a kind<br />

<strong>of</strong> quantificational ambiguity. An example is <strong>the</strong> following inference:<br />

Every man sees a donkey<br />

∴ A donkey every man sees (= “for some donkey, every man sees it”)<br />

In <strong>the</strong> premise, <strong>the</strong> term ‘donkey’ has merely confused supposition, and in <strong>the</strong><br />

conclusion it has determinate supposition. The error was identified as <strong>the</strong> fallacy<br />

<strong>of</strong> moving from a term with merely confused supposition to one with determinate<br />

supposition. 77 We would identify <strong>the</strong> error as involving a change in quantifier<br />

scope. Modes <strong>of</strong> supposition are properties that are affected by <strong>the</strong> relative scopes<br />

<strong>of</strong> quantifier words in <strong>the</strong> proposition. The mode <strong>of</strong> supposition <strong>of</strong> a term was as<br />

important to medieval <strong>the</strong>orists as quantifier scope is to us today.<br />

The modes <strong>of</strong> common personal supposition are also used in formulating rules<br />

<strong>of</strong> inference that cover inferences that go beyond those addressed in <strong>the</strong> <strong>the</strong>ories<br />

inherited from Aristotle. (See sections 7.6 and 8.7.)<br />

Once <strong>the</strong> importance <strong>of</strong> modes <strong>of</strong> supposition for inference was recognized, <strong>the</strong>y<br />

tended to become a topic <strong>of</strong> independent study.<br />

7.1.3 Terms functioning as Denoting Phrases<br />

One thing common to all parts <strong>of</strong> <strong>the</strong> tradition is that <strong>the</strong> modes are used to classify<br />

terms, as opposed to denoting phrases that contain <strong>the</strong> terms. For example, in<br />

‘Every donkey is running’ one classifies ‘donkey’ as having distributive supposition,<br />

not ‘every donkey’. But <strong>the</strong> classification <strong>of</strong> terms is a classification <strong>of</strong> terms as<br />

affected by quantifier signs. In <strong>the</strong> proposition ‘Every donkey is running’ <strong>the</strong><br />

classification <strong>of</strong> ‘donkey’ is sensitive to <strong>the</strong> ‘every’ preceding it. In most cases<br />

it turns out that <strong>the</strong>re is no significant difference between classifying denoting<br />

phrases such as ‘every donkey’ or classifying main terms, such as ‘donkey’. So<br />

when we classify ‘animal’ in‘Every donkey is some animal’ as merely confused,<br />

we can, if we wish, see this as a roundabout way <strong>of</strong> classifying ‘some donkey’ as<br />

merely confused in that proposition. (The classification <strong>of</strong> terms that are not <strong>the</strong><br />

main term <strong>of</strong> a denoting phrase needs additional discussion.) 78<br />

77 In many cases, confusing one mode <strong>of</strong> supposition for ano<strong>the</strong>r was seen as an instance <strong>of</strong> <strong>the</strong><br />

Aristotelian fallacy <strong>of</strong> form <strong>of</strong> expression. Peter <strong>of</strong> Spain T VI.8 (71) says: “ In <strong>the</strong> examples<br />

above, ... <strong>the</strong> term ‘man’ stands for every man, running or not, but it makes <strong>the</strong> utterance true<br />

for one man running. That each is determinate is clear, because in Socrates is an animal, Plato<br />

is an animal, Cicero is an animal, etc.; <strong>the</strong>refore every man is an animal, <strong>the</strong>re is a fallacy <strong>of</strong><br />

form <strong>of</strong> expression, shifting from many determinates to a single one.” A change is made in <strong>the</strong><br />

mode <strong>of</strong> supposition, but this is concealed because <strong>the</strong> words used before and after <strong>the</strong> change<br />

seem to have <strong>the</strong> same forms. (The Latin that is translated here as “form <strong>of</strong> expression” is<br />

‘figura dictiones’. This is <strong>of</strong>ten translated as “figure <strong>of</strong> speech”, but it does not involve any<br />

figure <strong>of</strong> speech as this term is understood today.) The order <strong>of</strong> <strong>the</strong> words changes, but <strong>the</strong>re<br />

is no grammatical change, such as switching <strong>the</strong> subject and direct object, as in <strong>the</strong> fallacy <strong>of</strong><br />

amphiboly, or <strong>of</strong> grouping, as in <strong>the</strong> fallacy <strong>of</strong> composition or division.<br />

78 Examples <strong>of</strong> terms that are not <strong>the</strong> main term <strong>of</strong> a denoting phrase are ‘donkey’ in‘Every<br />

non-donkey is a stone’, and in ‘Every grey donkey is running’. These are cases in which <strong>the</strong> term<br />

forms only part <strong>of</strong> a complex term that combines as a whole with a quantifier sign. Although

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