22.06.2013 Views

Handbook of the History of Logic: - Fordham University Faculty

Handbook of the History of Logic: - Fordham University Faculty

Handbook of the History of Logic: - Fordham University Faculty

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

276 Terence Parsons<br />

Therefore, ‘donkey’ has merely confused supposition in <strong>the</strong> whole proposition. (It<br />

is easy to check that one may not descend to a disjunction, and one may ascend<br />

back from any disjunct.)<br />

Are <strong>the</strong>re more rules <strong>of</strong> this sort? If so, <strong>the</strong>y are few. In a large number <strong>of</strong> cases<br />

<strong>the</strong> mode <strong>of</strong> supposition <strong>of</strong> a complex term in a proposition toge<strong>the</strong>r with <strong>the</strong> mode<br />

<strong>of</strong> supposition <strong>of</strong> a term T in <strong>the</strong> clause <strong>of</strong> that complex term do not determine<br />

a mode <strong>of</strong> supposition <strong>of</strong> T in <strong>the</strong> whole proposition. In particular, if a term has<br />

wide distributive supposition in a clause within a complex term that has narrow<br />

distributive supposition in a whole proposition, <strong>the</strong>n <strong>the</strong> mode <strong>of</strong> supposition <strong>of</strong><br />

<strong>the</strong> simple term is not determined. Consider <strong>the</strong> following propositions in which<br />

‘donkey’ has wide distributive supposition within a clause making up <strong>the</strong> relative<br />

clause portion <strong>of</strong> a term with narrow distributive supposition. Then:<br />

‘Donkey’ has determinate supposition in:<br />

Some horse isn’t an animal that sees every donkey<br />

And it has merely confused supposition in:<br />

Some horse is an animal that sees every donkey<br />

And it has narrow distributive supposition in:<br />

Some horse sees every animal that is every donkey<br />

And it has no mode <strong>of</strong> supposition at all in:<br />

Some horse sees every animal that sees every donkey<br />

Perhaps <strong>the</strong>re are some subtle rules that will constitute an algorithm for determining<br />

<strong>the</strong> mode <strong>of</strong> supposition <strong>of</strong> a non-main term from some information about it<br />

that is evident from inspection (which is how <strong>the</strong> rules for <strong>the</strong> modes <strong>of</strong> supposition<br />

<strong>of</strong> main terms work), but I don’t know how to construct <strong>the</strong>m.<br />

ACKNOWLEDGEMENTS<br />

I am indebted most <strong>of</strong> all to Calvin Normore from whom I have learned <strong>the</strong> most,<br />

and received <strong>the</strong> most support. In addition I am indebted to Elizabeth Karger,<br />

Gyula Klima, Gareth Mat<strong>the</strong>ws, Paul Spade, my colleagues at UCLA, especially<br />

John Carriero, Brian Copenhaver and David Kaplan, <strong>the</strong> repeating participants in<br />

<strong>the</strong> annual Moody Conference, and <strong>the</strong> many students, especially Timothy Doyle,<br />

who have kept me on my toes in many ways.<br />

BIBLIOGRAPHY<br />

[Adams, 1976] M. M. Adams. What Does Ockham Mean by Supposition? Notre Dame Journal<br />

<strong>of</strong> Formal <strong>Logic</strong> 17: 375-91, 1976.<br />

[Adams, 1987] M. M. Adams. William Ockham. U. <strong>of</strong> Notre Dame Press, Notre Dame, 1987.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!