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Handbook of the History of Logic: - Fordham University Faculty

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214 Terence Parsons<br />

The subject is ampliated to possible things (including things that exist<br />

at any time).<br />

The predicate is also ampliated; what it is ampliated to depends on<br />

<strong>the</strong> mode.<br />

There is no o<strong>the</strong>r effect.<br />

Examples:<br />

Every animal possibly-is a donkey ⇒ (Every possible animal x)(Some<br />

possible donkey y) x is y<br />

Every animal necessarily-is a donkey ⇒ (Every possible animal x)(Some<br />

necessary donkey y) x is y<br />

But which things does a term like ‘possible donkey’ supposit for? Presumably<br />

a possible donkey is an entity that is possibly a donkey. This will include all<br />

actual donkeys, past present and future — since modal words are explicitly said<br />

to ampliate <strong>the</strong>ir supposition to <strong>the</strong> past, present, and future. It will probably<br />

not include any o<strong>the</strong>r actual things, since e.g. a rock has an essence <strong>of</strong> its own<br />

which lies outside <strong>the</strong> category <strong>of</strong> donkeys. (This depends on what view you have<br />

about necessary properties. I am assuming what I think is <strong>the</strong> most usual view,<br />

attributed to Aristotle.) Will it include never-existing things that are possible<br />

donkeys? So far as I can see, <strong>the</strong> semantic <strong>the</strong>ory is neutral on this. If <strong>the</strong>re<br />

are such things, <strong>the</strong>n ’donkey’ signifies <strong>the</strong>m, and it supposits for <strong>the</strong>m in modal<br />

propositions.<br />

What <strong>the</strong>n about necessary donkeys, which are needed for <strong>the</strong> second sentence.<br />

This will include all actual donkeys if each donkey is necessarily a donkey. (Although<br />

<strong>the</strong>re may be none, since something that is necessarily a donkey necessarily<br />

exists.) Again, it will probably not include any o<strong>the</strong>r actual things. Again, <strong>the</strong>re<br />

is a question as to whe<strong>the</strong>r <strong>the</strong>re are also non-actual necessary donkeys. Perhaps<br />

<strong>the</strong>se coincide with <strong>the</strong> non-actual possible donkeys (on Aristotle’s view — though<br />

probably not on contemporary views). Again, that is a metaphysical view that<br />

<strong>the</strong> semantic <strong>the</strong>ory is neutral on.<br />

5.4 Ampliation due to Words which pertain to <strong>the</strong> soul<br />

This doctrine is simple: <strong>the</strong> use <strong>of</strong> words which pertain to <strong>the</strong> soul ampliate<br />

certain terms so that <strong>the</strong>y may supposit for everything that those words signify.<br />

For example, in ‘The antichrist is opinable’ <strong>the</strong> adjective permits <strong>the</strong> subject<br />

to supposit for future things, so <strong>the</strong> subject is not empty. Since one may have<br />

opinions about <strong>the</strong> antichrist, <strong>the</strong> proposition is true. ‘Some person thinks <strong>of</strong> a<br />

gold mountain’ can be true because <strong>the</strong> verb ampliates <strong>the</strong> predicate. However,<br />

‘Socrates thinks <strong>of</strong> <strong>the</strong> antichrist’ is not true, since <strong>the</strong> verb does not ampliate <strong>the</strong><br />

subject term, and Socrates does not exist; so <strong>the</strong> proposition is false.

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