|
18084
|
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
|
|
Full Idea:
When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
|
|
From:
Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
|
|
A reaction:
This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
|
|
16657
|
Substance, Quantity and Quality are real; other categories depend on those three [Henry of Ghent]
|
|
Full Idea:
Among creatures there are only three 'res' belong to the three first categories: Substance, Quantity and Quality. All other are aspects [rationes] and intellectual concepts with respect to them, with reality only as grounded on the res of those three.
|
|
From:
Henry of Ghent (Quodlibeta [1284], VII:1-2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 12.3
|
|
A reaction:
Pasnau connects with the 'arrangement of being', giving an 'ontologically innocent' structure to reality. That seems to be what we all want, if only we could work out the ontologically guilty bit.
|
|
16645
|
Accidents are diminished beings, because they are dispositions of substance (unqualified being) [Henry of Ghent]
|
|
Full Idea:
Accidents are beings only in a qualified and diminished sense, because they are not called beings, nor are they beings, except because they are dispositions of an unqualified being, a substance.
|
|
From:
Henry of Ghent (Quodlibeta [1284], XV.5), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 10.4
|
|
A reaction:
This is aimed to 'half' detach the accidents (as the Eucharist requires). Later scholastics detached them completely. Late scholastics seem to have drifted back to Henry's view. The equivocal use of 'being' here was challenged later.
|
|
22012
|
Kant says things-in-themselves cause sensations, but then makes causation transcendental! [Henry of Ghent, by Pinkard]
|
|
Full Idea:
Kant claimed that things-in-themselves caused our sensations; but causality was a transcendental condition of experience, not a property of things-in-themselves, so the great Kant had contradicted himself.
|
|
From:
report of Henry of Ghent (Quodlibeta [1284], Supplement) by Terry Pinkard - German Philosophy 1760-1860 04
|
|
A reaction:
This early objection by the conservative Jacobi (who disliked Enlightenment rational religion) is the key to the dispute over whether Kant is an idealist. Kant denied being an idealist, but how can he be, if this idea is correct?
|
|
18089
|
Dispositions are not general laws, but laws of the natures of individual entities [Place]
|
|
Full Idea:
Dispositions are the substantive laws, not, as for Armstrong, of nature in general, but of the nature of individual entities whose dispositional properties they are.
|
|
From:
Ullin T. Place (Intentionality and the Physical: reply to Mumford [1999], 6)
|
|
A reaction:
[He notes that Nancy Cartwright 1989 agrees with him] I like this a lot. I tend to denegrate 'laws', because of their dubious ontological status, but this restores laws to the picture, in the place where they belong, in the stuff of the world.
|