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Handbook of the History of Logic: - Fordham University Faculty

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<strong>Logic</strong> in <strong>the</strong> 14 th Century after Ockham 451<br />

could expect him ei<strong>the</strong>r to side with Ockham in maintaining that all <strong>the</strong> different<br />

kinds <strong>of</strong> supposition that occur in spoken and written language also occur in<br />

mental language, or to side with Buridan in maintaining that <strong>the</strong>re is only personal<br />

supposition in mental language. However, <strong>the</strong>re is a striking coherence in<br />

his position, as I shall argue.<br />

The first element to be taken into account is that his formulations <strong>of</strong> <strong>the</strong>se<br />

three modes <strong>of</strong> supposition differ slightly but significantly from those <strong>of</strong> Ockham.<br />

Personal supposition is defined roughly in <strong>the</strong> same way as by Ockham, as <strong>the</strong><br />

supposition for <strong>the</strong> things that <strong>the</strong> term signifies; material supposition, by contrast,<br />

is defined as <strong>the</strong> supposition for terms but not necessarily spoken or written terms,<br />

as it is by Ockham. According to Albert’s definition, a term having material<br />

supposition can supposit for itself or for a similar term (be <strong>the</strong>y written, spoken<br />

or mental). It is clear thus that, in mental language, if a given mental term<br />

supposits for itself or for ano<strong>the</strong>r term (mental or o<strong>the</strong>rwise), Albert’s definition<br />

allows for it to be a case <strong>of</strong> material supposition, whereas for Ockham it had to be a<br />

case <strong>of</strong> simple supposition, since his definition <strong>of</strong> material supposition necessitated<br />

that <strong>the</strong> supposition be for a spoken or written term. Albert, however, with <strong>the</strong><br />

definitions <strong>of</strong> personal and material suppositions thus stated, could already account<br />

for all <strong>the</strong> different kinds <strong>of</strong> supposition in mental language, making thus simple<br />

supposition in <strong>the</strong> mental realm superfluous.<br />

He was still left with <strong>the</strong> cases <strong>of</strong> terms in spoken or written language suppositing<br />

for mental terms, which were presumably excluded from his definition <strong>of</strong> material<br />

supposition. Following Ockham and against Buridan, he prefers to keep such cases<br />

in a category <strong>of</strong> <strong>the</strong>ir own — perhaps in order to maintain a more fine-grained and<br />

discriminating taxonomy — a category in which <strong>the</strong> supposition <strong>of</strong> a term for itself<br />

could not occur. From this point <strong>of</strong> view, what characterizes and gives unity to<br />

<strong>the</strong> concept <strong>of</strong> material supposition is above all <strong>the</strong> possibility <strong>of</strong> supposition <strong>of</strong> a<br />

term for itself (a spoken term for a spoken term, a written term for a written<br />

term, and a mental term for a mental term), whereas simple supposition would<br />

deal with <strong>the</strong> ‘left-over’ cases where this could not occur, namely <strong>the</strong> cases where<br />

a spoken or written term was explicitly meant to supposit for a concept.<br />

As for <strong>the</strong> risk <strong>of</strong> provoking equivocation in mental language by <strong>the</strong> ascription<br />

<strong>of</strong> different kinds <strong>of</strong> supposition to mental terms, such as in Ockham, Albert<br />

avoids this problem with ano<strong>the</strong>r feature <strong>of</strong> his logical system: unlike most <strong>of</strong> his<br />

immediate predecessors such as Ockham and Buridan and his own contemporaries,<br />

Albert denies that some propositions must be distinguished, that is, that <strong>the</strong>y are<br />

ambiguous. 19 Now, if <strong>the</strong>re is no equivocation with respect to propositions in<br />

written and spoken language, where <strong>the</strong>re are three kinds <strong>of</strong> supposition, <strong>the</strong>n a<br />

fortiori <strong>the</strong>re will not be this kind <strong>of</strong> equivocation in mental language ei<strong>the</strong>r.<br />

In sum, Albert’s preservation <strong>of</strong> simple supposition seems to be better motivated<br />

tion.” (Translation by Parsons et al, p. 12, on <strong>the</strong> website mentioned above).<br />

19 See [Ashworth, 1991, 156]. Albert contends that <strong>the</strong> propositions that must be distinguished<br />

according to o<strong>the</strong>rs in fact correspond to <strong>the</strong> conjunction or disjunction (depending on <strong>the</strong> case)<br />

<strong>of</strong> each <strong>of</strong> <strong>the</strong>ir possible readings.

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