Scotus, however, attempted to give a more positive description <strong>of</strong> theintentional relation holding between an act <strong>of</strong> thinking and its object. Aristotlehad already mentioned a class <strong>of</strong> relations involving “the measure and themeasured” 87 . He had illustrated that class <strong>of</strong> relations by making reference tothe relation holding between something known (playing the role <strong>of</strong> themeasure) and knowledge (playing the role <strong>of</strong> the measured). 88 The idea wasthat, if an object o acquires a relation R to a knower k, no real change occursin o. This implies that the relation R holding between o and k is not real. Theexplanation for this is that the relation R is not founded on any real feature <strong>of</strong>o that o lacked when it was not related to k by R and that o acquired when itbecame related to k by R. Thus, when I know a certain thing, that thing doesnot acquire any real feature and does not undergo any real change. Bycontrast, if a knower k acquires a relation R i to an object o, some real changeoccurs in o. This implies that the relation R i holding between k and o is real.The explanation for this is that the relation R i is founded on a real feature <strong>of</strong> k,which k lacked when it was not related to o by R i and acquired when itbecame related to o by R i .These relations were called “non-mutual,” because one <strong>of</strong> them is realand the other one is not. By contrast, mutual relations are either both real orboth non-real. For example, the relation holding between a father and a son ismutual, because there is a corresponding real relation holding between theson and the father.Aristotle had developed this framework to account for the relationholding between dispositional knowledge and its objects. Scotus applied it tothe relation holding between occurrent knowledge and its objects, i.e. acts <strong>of</strong>thinking and what they are about. When I think about something, no realfeature is acquired by the object <strong>of</strong> my act <strong>of</strong> thinking; by contrast, I acquire areal feature, i.e. an act <strong>of</strong> thinking, which is a quality present in the mind butnevertheless real. I possess that mental quality only as long as I actually thinkabout a certain thing. Thus, to think makes a difference to me but not to what Iam thinking about. The intentional relation linking my act <strong>of</strong> thinking to what Iam thinking about is a non-mutual relation <strong>of</strong> the same kind as the relationlinking knowledge to what is known and what is measured to what measuresit.87 Quodl., q. 13, nn. 11–12 (Vivès XXV, 525–526). In that passage, Scotus distinguishedthe measure/measured relation from another kind <strong>of</strong> relation, which he called “relatioattingentiae.” He clarified, however, that the relatio attingentiae pertains only to acts <strong>of</strong> intuitivecognition. See ibid., n. 14 (Vivès XXV, 540). Since I focus on abstractive cognition, I do not takethe relatio attingentiae into account.88 Meta. V, 15, 1021a26–b3; Meta. X, 1, 1053a31–b3; Cat. 7, 6b1–6. See Henninger,Relations, 6–8.40
Concerning the second issue, as I have said, Scotus held that theintentional relation holding between an act <strong>of</strong> thinking and its object is arelation founded in an act <strong>of</strong> thinking and directed at its object as its term.Since acts <strong>of</strong> thinking are non-relative items, the intentional relation holdingbetween an act and its object cannot be part <strong>of</strong> the essence <strong>of</strong> an act <strong>of</strong>thinking. Thus, the link between an act <strong>of</strong> thinking and its object is not anessential property <strong>of</strong> an act <strong>of</strong> thinking. As a consequence, if an act <strong>of</strong> thinkingis an item belonging to just one category (as it is likely to be), it follows that anact <strong>of</strong> thinking and its relation to its object are two distinct items belonging totwo distinct categories:From this it follows that either the act <strong>of</strong> thinking is not somethingper se one pertaining to a single genus, or else it does not include per se thetwo elements which were proved to concur in it [scil., an absolute and arelative element]. But the first article […] seems to establish that the absoluteelement is included essentially. Consequently, the act does not appear to beessentially relative in the sense <strong>of</strong> including the relation per se.89Accordingly, Scotus held that, if we were able to define acts <strong>of</strong>thinking in precise terms, there would be no need to include in theirdefinitions any mention <strong>of</strong> their objects. Thus, it would be possible to definemy act <strong>of</strong> thinking about what it is to be a cat without mentioning cats at all.As a matter <strong>of</strong> fact, however, this is not the case. We are not able to provideprecise definitions <strong>of</strong> acts <strong>of</strong> thinking, and as a consequence we end upidentifying acts <strong>of</strong> thinking thanks to their objects. 90Scotus, however, stated that the intentional relation holding betweenan act <strong>of</strong> thinking and its object, even though it is not part <strong>of</strong> the essence <strong>of</strong>that act <strong>of</strong> thinking, pertains to that act <strong>of</strong> thinking necessarily. Thus, it isimpossible for a certain act <strong>of</strong> thinking to exist and not to be about the objectis it about. For example, my act <strong>of</strong> thinking about what it is to be a cat isnecessarily about the essence <strong>of</strong> cats, even though at least in principle it maybe defined without ever mentioning the essence <strong>of</strong> cats. The relation betweenan act <strong>of</strong> thinking and its object can be described as an asymmetric relation <strong>of</strong>89 Quodl., q. 13, n. 24, Vivès XXV, 569: “Ex his sequitur quod actus cognoscendi velnon est aliquid per se unum unius generis vel non per se includit illa duo, quae probata suntconcurrere [scil., aliquid absolutum et relatio]. Videtur autem probatum in primo articulo quodessentialiter includat absolutum […]. Igitur videtur quod actus talis non sit essentialiter relativus,sicut per se includens relationem.” The English translation is taken, with some modifications, fromJohn Duns Scotus, God and Creatures, trans. Alluntis and Wolter, 303–304.90 Quodl., q. 13, n. 30, Vivès XXV, 577. Scotus also considered an alternative view,according to which the definition <strong>of</strong> an act <strong>of</strong> thinking must include a reference to its object as tosomething extrinsic but nevertheless necessary. See ibid., n. 31, Vivès XXV, 577–578.41
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