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Handbook of the History of Logic: - Fordham University Faculty

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<strong>Logic</strong> and Theories <strong>of</strong> Meaning . . . 367<br />

<strong>the</strong> equivocation: (1) resemblance (similitudo), (2) proportion (proportio, Greek:<br />

analogia), (3) “<strong>of</strong> one origin” (ab uno) and (4) “in relation to one ” (ad<br />

unum). Boethius’ example <strong>of</strong> a term that falls within <strong>the</strong> second group is ‘principle’<br />

(principium), which designates unity in relation to number or point in relation<br />

to line. 103 This example shows that analogia in <strong>the</strong> Aristotelian sense refers to a<br />

similarity <strong>of</strong> two proportions involving at least four items. In <strong>the</strong> thirteenth century,<br />

however, what came to be called analogia (Latin: proportio) covered what<br />

Aristotle called pros hen equivocation, which corresponds to <strong>the</strong> last two items in<br />

Boethius’ division, with <strong>the</strong> result that <strong>the</strong> term ‘analogia’ became ambiguous. 104<br />

In <strong>the</strong> first sense <strong>the</strong> analogy consists in a comparison <strong>of</strong> two proportions (as in:<br />

A is to B as C is to D). Late 13 th -century logicians do not seem to be interested in<br />

this kind <strong>of</strong> analogy, also called ‘analogy <strong>of</strong> proportionality’. 105 The focus is solely<br />

on <strong>the</strong> second kind <strong>of</strong> analogy, or ‘analogy <strong>of</strong> proportion’, that occurs when one<br />

term signifies two or more objects in a prior and a posterior way (secundum prius<br />

et posterius) and according to attribution (secundum attributionem), because <strong>of</strong> a<br />

relationship between <strong>the</strong> primary and secondary significate. 106<br />

Ano<strong>the</strong>r framework for discussion was Aristotle’s De sophisticis elenchis, especially<br />

<strong>the</strong> passage where he distinguishes between three modes <strong>of</strong> equivocation and<br />

amphiboly: “(1) When ei<strong>the</strong>r <strong>the</strong> expression or <strong>the</strong> name has strictly more than<br />

one meaning (...); (2) when by custom we use <strong>the</strong>m so; (3) when words that have<br />

a simple sense taken alone have more than one meaning in combination.” 107 In<br />

one <strong>of</strong> <strong>the</strong> logical handbooks that were used in <strong>the</strong> thirteenth century, Peter <strong>of</strong><br />

Spain’s Tractatus, 108 Aristotle’s division is interpreted as follows:<br />

1. <strong>the</strong> first mode <strong>of</strong> equivocation occurs when one word signifies several things,<br />

for example ‘dog’ signifying a barking animal, a marine animal and a constellation<br />

<strong>of</strong> stars,<br />

2. <strong>the</strong> second mode occurs when one word signifies one thing primarily and<br />

ano<strong>the</strong>r secondarily (secundum prius et posterius), for example ‘healthy’ can<br />

be said <strong>of</strong> a person and in a derivative way <strong>of</strong> urine,<br />

3. <strong>the</strong> third mode occurs when a word has several consignifications. In this case,<br />

<strong>the</strong> noun or expression signifies several things in a context, isolated however,<br />

only one. The standard example <strong>of</strong> <strong>the</strong> third mode <strong>of</strong> equivocation is that <strong>of</strong><br />

laborans, as it appears in <strong>the</strong> syllogism: “Whoever was being cured is healthy,<br />

<strong>the</strong> sufferer (laborans) was being cured; <strong>the</strong>refore <strong>the</strong> sufferer is healthy.” A<br />

standard example <strong>of</strong> <strong>the</strong> third mode <strong>of</strong> amphiboly is: “The bishops (episcopi)<br />

are priests, <strong>the</strong>se asses are <strong>the</strong> bishop’s (episcopi); <strong>the</strong>refore <strong>the</strong>se asses are<br />

priests.” In Peter’s view <strong>the</strong> definition <strong>of</strong> equivocation applies more in <strong>the</strong><br />

103For references, see Ashworth [1996, pp. 234–6].<br />

104Ashworth [1991, p. 41] and [1996, p. 236].<br />

105Thomas Aquinas, De veritate, qu. 2, a. 11.<br />

106Ashworth [1996, p. 237].<br />

107166a15-20. 108Peter <strong>of</strong> Spain, Tractatus VII, De fallaciis, [ed. De Rijk, pp. 99–104].

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