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Handbook of the History of Logic: - Fordham University Faculty

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The Assimilation <strong>of</strong> Aristotelian and Arabic <strong>Logic</strong> up to <strong>the</strong> Later Thirteenth Century 333<br />

Socrates is a human being<br />

Therefore: Socrates is an animal<br />

It can be made into a syllogism by adding <strong>the</strong> major premise: “Every human being<br />

is an animal”. An enthymem can always be reduced to a syllogism by adding or<br />

making explicit <strong>the</strong> missing premise. An argument by example is based on <strong>the</strong><br />

similarity between things expressed by <strong>the</strong> terms. The argument:<br />

It is not good to drink too much wine<br />

Therefore: It is not good to drink too much whiskey<br />

This is a valid argument because wine and whiskey are both alcoholic beverages.<br />

An argument is confirmed by a locus, which is defined in <strong>the</strong> following way:<br />

A locus settles an argument or it draws out <strong>the</strong> argument from <strong>the</strong><br />

proposed question.<br />

A locus is hence what makes something into an argument.<br />

The loci are divided into maximal loci and maximal different loci. The first<br />

is identical to <strong>the</strong> maximal propositions. They are <strong>the</strong> most prior propositions<br />

and <strong>the</strong> best known, since given <strong>the</strong> terms included in <strong>the</strong>m <strong>the</strong>y are necessarily<br />

true. Peter gives <strong>the</strong> following examples: “Every whole is greater than its<br />

parts”, “Whatever <strong>the</strong> definition is predicated <strong>of</strong>, <strong>the</strong> defined thing is as well”,<br />

and “Whatever a species is predicated <strong>of</strong>, its genus is as well”.<br />

The maximal different loci are that by which one maximal proposition differ<br />

from ano<strong>the</strong>r. In <strong>the</strong> examples: ‘whatever a definition is predicated <strong>of</strong> <strong>the</strong> thing<br />

defined is as well’ and ‘whatever a species is predicated <strong>of</strong>, <strong>the</strong> genus is as well’,<br />

<strong>the</strong> components that differ in <strong>the</strong>se are ‘definition’, ‘defined’, ‘species’, and ‘genus’.<br />

These terms are <strong>the</strong> maximal different loci. These are fur<strong>the</strong>r divided into intrinsic,<br />

extrinsic, and middle.<br />

The intrinsic loci are <strong>the</strong> ones involving arguments that are substantive <strong>of</strong> a<br />

thing, like a definition. The extrinsic loci are <strong>the</strong> ones involving arguments completely<br />

separated from a thing’s essence, like arguments from opposites. The example<br />

Peter gives is if we question whe<strong>the</strong>r Socrates is white and conclude that<br />

‘Socrates is black, hence he is not white’. The maximal proposition in this case<br />

is: ‘If one contrary is posited, <strong>the</strong>n <strong>the</strong> o<strong>the</strong>r is excluded’. A middle locus is taken<br />

from things partly agreeing with <strong>the</strong> terms posited and partly differing. An example<br />

would be querying whe<strong>the</strong>r justice is good and concluding that ‘a just thing is<br />

a good thing, hence justice is good’. The maximal proposition is ‘what inheres is<br />

one conjugate is in <strong>the</strong> o<strong>the</strong>r thing as well’. The discussion <strong>of</strong> <strong>the</strong> division <strong>of</strong> loci<br />

is ended by a list <strong>of</strong> loci and maximal propositions, which does not differ from <strong>the</strong><br />

list Boethius gives in De differentiis topicis.<br />

This is Peter’s list <strong>of</strong> different loci:<br />

I. Intrinsic loci from <strong>the</strong> substance <strong>of</strong> a thing:

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