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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 209<br />

The first is true because someone who was a virgin sometime in <strong>the</strong> past was<br />

pregnant sometime in <strong>the</strong> past. Etc.<br />

5.2.5 Tenses with relative clauses<br />

We have not yet said how to handle complex terms with relative clauses occurring<br />

in tensed sentences. If we follow our instructions so far, we end up with an<br />

ampliated complex term, but with no account <strong>of</strong> how <strong>the</strong> complex term is to be<br />

ampliated in terms <strong>of</strong> how its parts work. In <strong>the</strong> case <strong>of</strong> modification by a relative<br />

clause <strong>the</strong>re is a very simple treatment. We just suppose that ampliating a<br />

complex term made with a relative clause ampliates only <strong>the</strong> simple term that is<br />

modified by <strong>the</strong> relative clause. The relative clause itself is already taken care <strong>of</strong>,<br />

since it has a verb <strong>of</strong> its own, and <strong>the</strong> tense on that verb takes care <strong>of</strong> ampliating<br />

<strong>the</strong> terms in it. This I think is how <strong>the</strong> medieval <strong>the</strong>ory was intended to work. An<br />

example is <strong>the</strong> following sentence. It has a main verb in <strong>the</strong> past tense, and its<br />

subject term contains a relative clause in <strong>the</strong> future tense.<br />

A donkey which will be grey was brown<br />

This is true iff some present or past donkey which will be grey in <strong>the</strong> future was<br />

brown at some time in <strong>the</strong> past. This seems to me to reflect our own usage.<br />

There remains a question about <strong>the</strong> coordination (or lack <strong>the</strong>re<strong>of</strong>) <strong>of</strong> times<br />

within <strong>the</strong> complex phrase. Consider:<br />

A bishop which was grey was running<br />

This sentence is true according to <strong>the</strong> present account iff <strong>the</strong>re is some present<br />

or past time at which someone was a bishop, and some past time at which that<br />

person was grey, and some past time at which that person was running. It is not<br />

required that <strong>the</strong> times <strong>of</strong> being a bishop and being grey are <strong>the</strong> same. This may,<br />

arguably, be one correct reading <strong>of</strong> <strong>the</strong> sentence.<br />

5.2.6 Parasitic Terms — Genitives<br />

In section 2, we were able to include transitive verbs and genitive constructions<br />

by introducing parasitic terms — terms that within modern <strong>the</strong>orizing contain a<br />

variable that may be bound by ano<strong>the</strong>r denoting phrase with <strong>the</strong> appropriate case.<br />

The meaning <strong>of</strong> a term such as ‘donkey-<strong>of</strong>-x’ is something like ‘donkey possessed<br />

by x’. The time <strong>of</strong> possession is as relevant to <strong>the</strong> construction as <strong>the</strong> time <strong>of</strong><br />

being a donkey. I am not aware <strong>of</strong> discussions <strong>of</strong> this issue.<br />

5.2.7 Coordination <strong>of</strong> times among parts <strong>of</strong> <strong>the</strong> subject or predicate<br />

In parts <strong>of</strong> <strong>the</strong> subject or predicate which are disjoint terms Buridan says <strong>the</strong>y<br />

must all be treated as simultaneous. [SD:Soph 3.1 (887)] An example is I ate an<br />

apple in Paris, where, he says, <strong>the</strong>re must be some time in <strong>the</strong> past such that I<br />

was in Paris <strong>the</strong>n, and I ate something <strong>the</strong>n, and it was an apple <strong>the</strong>n. This is

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