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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 253<br />

Every A is every B A and B are both distributed by UA. (The first ‘every’<br />

has no effect on B because B is already confused by<br />

<strong>the</strong> second ‘every’.)<br />

No A is every B A is distributed by NEG; B is distributed by UA but<br />

<strong>the</strong>n made merely confused by NEG.<br />

Some A is every B A is determinate by default and B is distributed by<br />

UA<br />

Some A is not every B A is determinate by DEFAULT; B is distributed by UA<br />

but this is <strong>the</strong>n made to be merely confused according<br />

to Buridan, or determinate according to Ockham.<br />

The question remains how to resolve <strong>the</strong> difference between Buridan and Ockham<br />

concerning <strong>the</strong> mode <strong>of</strong> supposition <strong>of</strong> a term that is apparently distributed<br />

by two signs. Buridan says that it ends up merely confused, and Ockham says<br />

that it ends up determinate. In <strong>the</strong> example just given, <strong>the</strong> right answer in terms<br />

<strong>of</strong> ascent and descent is that it should be determinate. This is also <strong>the</strong> case for<br />

ano<strong>the</strong>r example that Ockham gives: ‘Socrates is not every man’. Unfortunately<br />

<strong>the</strong> only examples that Buridan gives using ‘not’ are examples that he sees as<br />

special exceptions <strong>of</strong> his own rule; <strong>the</strong> result should be determinate when <strong>the</strong>re<br />

are “two negations taken toge<strong>the</strong>r, relating in <strong>the</strong> same way to what follows upon<br />

<strong>the</strong>m.” Examples are<br />

Not: no man runs<br />

Socrates does not see no man<br />

The answer he gives here — that <strong>the</strong> predicate terms have determinate supposition<br />

— agrees with Ockham. So perhaps Ockham is right, and Buridan wrong? No, for<br />

<strong>the</strong>re are o<strong>the</strong>r examples mentioned by nei<strong>the</strong>r author where a negating negation<br />

applies to a distributed term and makes it merely confused, just as Buridan says;<br />

an example is ‘donkey’ in<br />

Not: some farmer sees every donkey<br />

Both <strong>the</strong> ‘every’ and<strong>the</strong>‘not’ would distribute ‘donkey’ on <strong>the</strong>ir own; toge<strong>the</strong>r<br />

<strong>the</strong>y make it merely confused. (Descent is not possible, but ascent is possible from<br />

‘Not: some farmer sees this donkey’.)<br />

So <strong>the</strong> rules are not adequately formulated, and it is not at all obvious how to<br />

make <strong>the</strong>m adequate within <strong>the</strong> <strong>the</strong>oretical framework given here. I will discuss<br />

this fur<strong>the</strong>r in <strong>the</strong> next section, where we consider a revision <strong>of</strong> <strong>the</strong> <strong>the</strong>ory in<br />

which distribution comes in two sorts. (Negating one sort produces determinate<br />

supposition, while negating <strong>the</strong> o<strong>the</strong>r sort produces merely confused supposition).<br />

But that is a revision that goes beyond medieval <strong>the</strong>orizing, and so I will not<br />

consider <strong>the</strong> issue <strong>of</strong> causes <strong>of</strong> modes <strong>of</strong> supposition fur<strong>the</strong>r here, except to note<br />

that <strong>the</strong> rules that were given correctly classify a wide range <strong>of</strong> cases.

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