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Handbook of the History of Logic: - Fordham University Faculty

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422 Gyula Klima<br />

context, <strong>the</strong> conditions <strong>of</strong> <strong>the</strong>ir truth given in terms <strong>of</strong> <strong>the</strong> supposition <strong>of</strong> <strong>the</strong>ir<br />

terms needs to be provided separately for different types <strong>of</strong> propositions:<br />

Therefore, recapitulating, we put forth <strong>the</strong> fourteenth conclusion, namely<br />

that every true particular affirmative is true because <strong>the</strong> subject and<br />

predicate supposit for <strong>the</strong> same thing or things. And every true universal<br />

affirmative is true because for whatever thing or things <strong>the</strong> subject<br />

supposits for, <strong>the</strong> predicate supposits for that thing or for those same<br />

things. And every false particular affirmative is false because <strong>the</strong> subject<br />

and <strong>the</strong> predicate do not supposit for <strong>the</strong> same thing or things.<br />

And every false universal affirmative is false because not every thing<br />

or all things which <strong>the</strong> subject supposits for are also supposited for by<br />

<strong>the</strong> predicate. And every true particular negative is true because <strong>the</strong><br />

universal affirmative contradictory to it is false; and we have declared<br />

what <strong>the</strong> reason for this is. And every true universal negative is true<br />

because <strong>the</strong> particular affirmative contradictory to it is false; and we<br />

have declared what <strong>the</strong> reason for this is. And every false particular<br />

negative is false because <strong>the</strong> universal affirmative contradictory to it is<br />

true; and we have declared what <strong>the</strong> reason for this is. And every false<br />

universal negative is false because <strong>the</strong> particular contradictory to it is<br />

true; and we have declared what <strong>the</strong> reason for this is. 58<br />

These clauses, in fact, may look very much like <strong>the</strong> clauses <strong>of</strong> <strong>the</strong> satisfaction<br />

conditions <strong>of</strong> formulae in a formal semantics, serving a “definition <strong>of</strong> truth” (in a<br />

model). Indeed, we may get <strong>the</strong> same impression from what Buridan says immediately<br />

after <strong>the</strong>se clauses:<br />

And this fourteenth conclusion, which contains eight partial conclusions,<br />

appears to be entirely true on <strong>the</strong> basis <strong>of</strong> <strong>the</strong> foregoing [points]<br />

given <strong>the</strong> principle that whatever is <strong>the</strong> cause <strong>of</strong> truth <strong>of</strong> one <strong>of</strong> <strong>the</strong><br />

contradictories, or is required for its truth, is <strong>the</strong> cause <strong>of</strong> <strong>the</strong> falsity <strong>of</strong><br />

<strong>the</strong> o<strong>the</strong>r, or is required for its falsity. But in <strong>the</strong> end we should note<br />

— since we can use names by convention, and many people commonly<br />

use this way <strong>of</strong> putting <strong>the</strong> matter — that in respect <strong>of</strong> every true<br />

proposition we say: ‘It is so’, and in respect <strong>of</strong> every false one we say:<br />

‘It is not so’, and I do not intend to eliminate this way <strong>of</strong> speaking.<br />

But for <strong>the</strong> sake <strong>of</strong> brevity I may use it <strong>of</strong>ten intending by it not what<br />

it signifies on account <strong>of</strong> its primary imposition, but <strong>the</strong> diverse causes<br />

<strong>of</strong> truth and falsity assigned above for diverse propositions, as has been<br />

said. 59<br />

58 Ibid. pp. 858-859.<br />

59 Buridan will <strong>of</strong>ten refer back to this remark, reminding us that whenever he uses his simple<br />

formula qualitercumque propositio significat ita est [‘In whatever way <strong>the</strong> proposition signifies<br />

things to be, so things are’] or any <strong>of</strong> its stylistic variants, he uses it as a place-holder for <strong>the</strong><br />

conditions <strong>of</strong> <strong>the</strong> truth <strong>of</strong> <strong>the</strong> several types <strong>of</strong> propositions he laid down here. Note also how this<br />

general formula is related to <strong>the</strong> colloquial phrase: A est B, necne? — Ita est. [literally: ‘A is

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