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Handbook of the History of Logic: - Fordham University Faculty

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648 Petr Dvoˇrák<br />

ter characteristic applies to both disciplines; <strong>the</strong>y differ as to <strong>the</strong>ir goal, however.<br />

While <strong>the</strong> goal <strong>of</strong> grammar is to speak correctly, <strong>the</strong> goal <strong>of</strong> logic is to discover<br />

truth. 13 Hence, grammar also needs its “metagrammar”. 14 The goals Caramuel<br />

assigns to metalogic are partly those dealt with today in <strong>the</strong> philosophy <strong>of</strong> logic<br />

and partly in philosophical logic and metaphysics. This has to do with an alternative<br />

understanding <strong>of</strong> metalogic in Caramuel as dealing with topics belonging to<br />

both logic and metaphysics. Hence, metalogic is metaphysical logic, ra<strong>the</strong>r than<br />

<strong>the</strong> philosophy <strong>of</strong> logic (meta-logic).<br />

What is <strong>the</strong> nature <strong>of</strong> logic according to Caramuel? <strong>Logic</strong> is <strong>the</strong> ability (faculty)<br />

to coordinate phonemes and characters in language and <strong>the</strong> corresponding ideas<br />

in <strong>the</strong> mind. By this, a natural order <strong>of</strong> things is saved. 15 Hence, for Caramuel,<br />

<strong>the</strong> order <strong>of</strong> language corresponds to <strong>the</strong> order <strong>of</strong> things. One cannot coordinate<br />

words or infer statements from o<strong>the</strong>r statements at will. Caramuel is thus a naturalist<br />

ra<strong>the</strong>r than a constructionist in his philosophical outlook on logic. Also,<br />

logic is both <strong>the</strong> faculty (facultas) as well as a set <strong>of</strong> rules (methodus) given to<br />

a specific purpose. <strong>Logic</strong> gives <strong>the</strong> rules <strong>of</strong> coordination on various levels (apprehension,<br />

judgment and argumentation), directing linguistic and mental operations<br />

with <strong>the</strong> goal <strong>of</strong> manifesting or inferring truths hi<strong>the</strong>rto unknown. As is commonly<br />

<strong>the</strong> case in scholastic logic, Caramuel does not differentiate semantics from formal<br />

logic proper, for <strong>the</strong> rules concern both semantic content rules <strong>of</strong> compossible<br />

combinations <strong>of</strong> expressions as well as <strong>the</strong> rules accounting for logical form. The<br />

subject <strong>of</strong> logic is also dual: linguistic expressions both spoken and written as well<br />

as <strong>the</strong> mental operations or acts behind <strong>the</strong>m. Even though Caramuel devotes <strong>the</strong><br />

greatest amount <strong>of</strong> space in his logical writings to analysis on <strong>the</strong> language level<br />

(comparing <strong>the</strong> relative sizes <strong>of</strong> his “Spoken” and “Mental <strong>Logic</strong>s”), a psychologist,<br />

mentalist streak in Caramuel’s conception <strong>of</strong> logic clearly cannot be brushed<br />

aside. 16<br />

13And <strong>the</strong> goal <strong>of</strong> rhetoric, also having to do with <strong>the</strong> production <strong>of</strong> language sound, is to<br />

speak ornately.<br />

14This is what Caramuel sets out to provide in his Grammatica Audax. To speak correctly<br />

means, among o<strong>the</strong>r things, to avoid ambiguity. Caramuel, recognizing at least five senses <strong>of</strong><br />

“being” and consequently regarding <strong>the</strong> verb “to be” (esse) as vague and ambiguous, coins a<br />

host <strong>of</strong> new expressions (sare, sere, syre, sore, sure. . . ) to capture <strong>the</strong> various subtle meanings<br />

projected onto <strong>the</strong> term by <strong>the</strong> Scholastics, thus making <strong>the</strong> language <strong>of</strong> <strong>the</strong>ology and philosophy<br />

more precise, in <strong>the</strong> hope <strong>of</strong> resolving scholastic dilemmas in <strong>the</strong>se disciplines. He does this systematically<br />

in his later work Leptotatos latine subtilissimus (Vigevano 1681). For an explanatory<br />

account <strong>of</strong> this endeavor cf. Sousedík [1991]. This seems to be a key part <strong>of</strong> Caramuel’s universal<br />

grammar.<br />

15Metalogica, Lib. I, disp. I, pp. 3-4.<br />

16Metalogica, Lib. I., disp. VI., § 2, p. 30: Pono secundo nomine <strong>Logic</strong>ae a nobis hanc<br />

intelligi scientiam, quae si Mentalis sit, tres dirigat mentis operationes: si Vocalis, tres lingua<br />

operationes illis correspondentes: et tandem si Scripta, tres correspondentes linguae et menti.<br />

(,,Secondly, I claim that under <strong>the</strong> name <strong>of</strong> “logic” we will understand such a science, which —<br />

if mental — directs three operations <strong>of</strong> <strong>the</strong> mind, if spoken, [directs] three language operations<br />

corresponding to <strong>the</strong> mental ones, if written, [directs three operations] corresponding to [<strong>the</strong><br />

operations] <strong>of</strong> language and <strong>the</strong> mind”).

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