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Handbook of the History of Logic: - Fordham University Faculty

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260 Terence Parsons<br />

mode <strong>of</strong> supposition that it has in <strong>the</strong> original proposition. However, Ockham<br />

limits this principle. In <strong>the</strong> paragraph following <strong>the</strong> cited one he says:<br />

One might claim that a consequence <strong>of</strong> this analysis is that <strong>the</strong> subject<br />

in ‘Only what is an animal is a man’ would not have merely confused<br />

supposition. The point would be that since <strong>the</strong> proposition is equivalent<br />

to a conjunction <strong>of</strong> propositions, one <strong>of</strong> which is affirmative and <strong>the</strong><br />

o<strong>the</strong>r negative, <strong>the</strong> subject would have a different form <strong>of</strong> supposition<br />

in each <strong>of</strong> <strong>the</strong> elements <strong>of</strong> <strong>the</strong> conjunction. The response is that in <strong>the</strong><br />

exclusive affirmative proposition <strong>the</strong> subject has merely confused supposition,<br />

for although <strong>the</strong> exponents <strong>of</strong> that proposition have subjects<br />

with different forms <strong>of</strong> supposition, those subjects are not identical<br />

with <strong>the</strong> subject in <strong>the</strong> original exclusive proposition; and because <strong>the</strong><br />

subjects <strong>of</strong> <strong>the</strong> affirmative and negative exponents differ from <strong>the</strong> subject<br />

<strong>of</strong> <strong>the</strong> exclusive proposition, that subject can have one <strong>of</strong> <strong>the</strong> three<br />

forms <strong>of</strong> proposition.<br />

Probably Ockham has in mind expounding ‘Only an animal is a man’ as ‘An<br />

animal is a man and every man is an animal’. Here <strong>the</strong> subjects are clearly not<br />

<strong>the</strong> same, but it is not clear why that should yield any answer at all. I speculate<br />

that Ockham’s policy is to try to apply <strong>the</strong> tests for supposition to <strong>the</strong> original<br />

proposition, and if one <strong>of</strong> <strong>the</strong>m works, <strong>the</strong>n that settles <strong>the</strong> matter. If none <strong>of</strong><br />

<strong>the</strong>m work, <strong>the</strong>n <strong>the</strong> term has no mode <strong>of</strong> supposition. It is only in <strong>the</strong> latter<br />

case that one looks for an explanation in terms <strong>of</strong> <strong>the</strong> term’s occurring twice in<br />

<strong>the</strong> exponents <strong>of</strong> <strong>the</strong> proposition with different modes <strong>of</strong> supposition. What is<br />

puzzling is why, if this is a good explanation, <strong>the</strong> same sort <strong>of</strong> explanation should<br />

not be good in o<strong>the</strong>r cases.<br />

8.9 Variant Interpretations <strong>of</strong> <strong>the</strong> Modes<br />

I have been discussing certain definitions <strong>of</strong> <strong>the</strong> modes <strong>of</strong> personal supposition. No<br />

one author used exactly <strong>the</strong>se three definitions. Instead I chose <strong>the</strong>m to represent<br />

<strong>the</strong> “best <strong>of</strong> Burley-Ockham-Buridan”. In this section I discuss variant definitions.<br />

8.9.1 Determinate supposition<br />

We have used this version <strong>of</strong> determinate supposition:<br />

A term F has determinate supposition in a proposition P if and only<br />

if<br />

[Descent]: you may descend under F to a disjunction <strong>of</strong><br />

propositional instances <strong>of</strong> all <strong>the</strong> F s, and<br />

[Ascent]: from any such instance you may ascend back to<br />

<strong>the</strong> original proposition P .

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