Showing posts with label Intrinsic Modes. Show all posts
Showing posts with label Intrinsic Modes. Show all posts

Sunday, May 15, 2011

Scotus on Intensive and Extensive Infinity

Embedded in a lengthy question on the "action" of the created and uncreated agents with respect to the Eucharist, Scotus examines an interesting objection based on the divine attributes.  Basically, the claim is that if the divine will is formally infinite, then it must include very other perfection intrinsic to God, because there can be no addition to infinity, and thus the will, rather than the divine essence, is the infinite sea of substance that John Damascene spoke of and the scholastics so love to cite.  Scotus' answer is to distinguish between two kinds of infinity, intensive and extensive.  The passage is long enough and probably well enough generally known that I give only a translation.

Duns Scotus, Ordinatio IV d. 13 q. 1 nn. 122-24 (Vat. XII 472-3):

Therefore briefly, it is clear, because God is unqualifiedly blessed in the operations of his intellect and will; for he is not unqualifiedly blessed in his essence as it is infinite, unless he comprehends it; and just as the intellect comprehends by seeing, so the will ... comprehends by loving, for this that it is perfectly blessed. And consequently, each power and each act of each power around the divine essence -- as it perfectly makes itself blessed -- will be infinite.

As proof of that minor [premise] I say that there can be understood in the divine a quasi extensive infinite, as if there would be understood a quasi infinite number of perfections; in another way, an intensive infinite of some unqualified perfection, so that that perfection, according to its own definition [ratio], is without limit and term. And in this second way something can have not only formal infinity, but also fundamental, -- something, however, can have formal intensive [infinity], although not fundamental [infinity].

I say therefore that nothing of one formal definition [ratio] is infinite in the first way, indeed neither perhaps is there such an infinity absolutely in God: for perhaps just as the persons are finite, speaking about that finitude, so also the unqualified perfections are finite in number or in their multitude, and the relations and notions, and this and that are joined together; but formal intensive infinity and fundamental [infinity] are together there in the divine essence as it is essence, and for this reason it is called by the Damascene a 'sea'. Formal [infinity] only, however, not fundamental, is in every other perfection [than the will] unqualifiedly; for each one has its own formal perfection from the infinity of the essence just as from a root and foundation. Neither formal nor fundamental infinity, however, is in the relations, as was shown in Book I distinction 13, because it is better for the Father not to have filiation; 'an unqualified perfection is that which it is better for something to have than not to have'. [cf. Anselm, Mon. c. 15]

The response is then clear, that although the will is formally infinite, nevertheless it does not formally include in itself all intrinsic perfections, because neither the essence nor something other includes them in that way; but neither does it fundamentally include all perfections, but so only the essence [does include them], which is a 'sea'; it includes by identity both whatever unqualified perfection and whatever relation.

Monday, May 9, 2011

Petrus Thomae on Intrinsic Modes

This is a follow-up to the post on the pseudo-Francis.  Here I will give (in translation) a series of 12 propositions and six corollaries that Peter Thomae gives in his Quaestiones de modis distinctionum.  This work was written in the late 1320's at Barcelona, and is devoted to teasing out the meaning of the various kinds of distinctions in use among the scholastics, as well as defending Scotus from the first generation of critics (such as Hervaeus Natalis, Gerardus Boloniensis, and Peter Auriol). Note that I give only the statement of the proposition, not the defense of it. In the last corollary Peter attacks Francis of Mayronis' definition of an intrinsic mode, which was accurately reported by the pseudo-Francis, to wit, an intrinsic mode is that which supervenes on a quiddity without changing its formal definition.

Petrus Thomae, Quaestiones de modis distinctionum, q. 11 a. 1 (cf. Naples, BN, Ms. VIII.F.17, f. 83vb-84ra):

Propositions:

1. An intrinsic mode is in itself in the thing from the nature of the thing (mous intrinsecus est in se in re ex natura rei).

2. An intrinsic mode is not formally a second intention.

3. An intrinsic mode is not formally  a quiddity of a thing or part of a quiddity, for if so, therefore every quiddity would be a mode or composed from modes, which is not fitting.

4. An intrinsic mode is not formally a reality, for there is some reality which is not an intrinsic mode, therefore etc.

5. An intrinsic mode is properly in respect to a formality, for a thing is that which it is by means of a formality.

6. An intrinsic mode is not formally a negation, since no negation is intrinsic to something positive; but an intrinsic mode is intrinsic to the thing of which it is the mode; therefore etc.

7. An intrinsic mode is not formally something relative nor something absolute.

8. An intrinsic mode is formally not a grade of intention or remission, because if it were, only that which admits of intension would have an intrinsic mode, which is false.

9. An intrinsic mode is not formally a quantity or magnitude of power as some say.

10. An intrinsic mode does not formally limit something to a certain genus.

11. An intrinsic mode is transcendent [i.e. super-categorical]

12. An intrinsic mode of a thing is a certain positive and transcendent ratio which neither is a quiddity nor part of a quiddity (all these conditions can be elicited from the previous propositions).

Corollaries:

1. An intrinsic mode of a thing has a proper concept.

2. A proper concept of an intrinsic mode is not quidditative but modificative.

3. The ratio of a difference cannot be taken from an intrinsic mode.

4. An intrinsic mode is inseparable in actual existence from the thing of which it is, for it exists things intrinsically, and according to its intimacy [intimitatem], on account of which is impossible that the intrinsic mode be separated from the thing of which it is in actual existence.

5. The statement of the ones saying that an intrinsic mode is that which does not have a precise concept from that of which it is is not true, since indeed it has a proper concept according to which it can be conceived without the thing of which it is a mode being conceived.

6. The statement of those saying that an intrinsic mode is that which supervening on something does not change its formal ratio is not true. For an intrinsic mode is not of the thing of which it is supervening, rather it is prevening, at least by the mode of conceiving, since it has a contracted ratio.  Second, because if it did, then that mode would not be intrinsic but accidental, and so there would be an intrinsic mode of that, which is false, etc.

Tuesday, May 3, 2011

What are Intrinsic Modes?

Instrinsic modes are another of Duns Scotus' controversial contributions to philosophy, and are perhaps as obscure a feature as one can find in his system.  For Scotus these modes operate sort of like differences, in the Porphyrian sense of the term (Porphyry's differences contract a genus into species, Scotus' modes separate different degrees of intensity). I will save further discussion of Scotus' idea of intrinsic modes for a later post.  In this post I am giving a handy summary from the pseudo-Franciscus de Mayronis' Tractatus Formalitatum.  This treatise has long been known to be by pseudo-Francis; generally, medieval thinkers don't mention themselves by name in their own works, as does this tractate.  It is also described as being 'ad mentem Francisci', another clue.  This treatise is distinct from the genuine Formalitates of Francis, which appears to be an extract from his Conflatus. Not to give away too much from a certain forthcoming article, but the theory of distinction found in this treatise is not even Francis', who holds to a four-fold division of identity and distinction, but that of Petrus Thomae (seven kinds of identity and corresponding distinction).  I have some fantasies ('theories' would imply there was some facts at work) about how this fusion took place, but I'll keep them to myself. Pseudo-Francis' description of an intrinsic mode is that which advenes on a quiddity or forme without altering the definition. He thinks that there are nine kinds of modes, and given what these are, it is clear that multiple modes can befall the same quiddity.

pseudo-Franciscus de Mayronis, Tractatus formalitatum, a.2 (ed. Venezia 1520, f. 263vb):

Quantum ad primum punctum, videlicet quid sit modus intrinsecus, dico talem conclusionem affirmativam: 'modus intrinsecus est ille que adveniens alicui forme seu quidditati non variat eius formalem rationem'. Verbi gratia: signetur albedo, tunc certum est quod aliqius modus competit secundum magis et aliquis secundum minus. Dato quod Sorti competat albedo ut trium graduum, Plato ut quatuor, ibi esset diversa participatio albedinis; non tamen esset variatio in ista ratione formali, quoniam Sortes est vere albus et Plato est vere albus, licet Plato albior sit Sorte.

Hanc etiam conclusionem probo sic: nullum posterius potest variare esse sui prioris; sed modus intrinsecus est posterior eo cuius est modus, scilicet quidditate; igitur modus intrinsecus non potest variare esse sui prioris. Consequentia tenet. Maior nota et minor patet, quia modus est adiecens rei determinatio.

[...]

Quantum ad secundum punctum sciendum quod novem sunt genera modorum intrinsecorum, videlicet finitum et infinitum, actus et potentia, necessarium et contingens, existentia, realitas et hecceitas...

Translation:

As far as the first point is concerned, namely what is an intrinsic mode, I give an affirmative proposition: 'an intrinsic mode is that which supervening on some form or quiddity does not alter the formal definition of that form or quiddity'. For example, let whiteness be designated/signified[?]. Then it is certain that some mode befalls it according to more and some mode which befalls it less. For with it given that whiteness befalls Socrates in the third grade, Plato in the fourth, there would be there diverse participations of whiteness; nevertheless there would not be any variation in its formal definition, since Socrates is truly white, although Plato is whiter than Socrates.

I also prove this conclusion thus: nothing posterior can alter the the being of its prior; but an intrinsic mode is posterior to that of which it is a mode, namely a quiddity; therefore an intrinsic mode is not able to alter the being of its prior.  The consequence holds. The major [premise] is known, the minor is clear because a mode is an adjacent determination of a thing.

[...]

According to the second point it should be known that there are nine genera of intrinsic modes, namely finite and infinite, act and potency, necessary and contingent, existence, reality and haecceity.

Tuesday, April 19, 2011

Aufredus Gonteri on the Modes of Creaturely Being

The following is a snippet from Gonteri's commentary on the Lombard. Gonteri was a Franciscan from Brittany, and lectured on the Sentences at Barcelona and Paris in the 1320's. His commentary is a good example of the practice of reading the Sentences 'secundum alium', that is copying other scholars' commentaries into one's own.  Gonteri takes material from thinkers such as Henry of Harclay, Francis of Marchia, and Gerard Odonis.  This is illustrated by the question on modes of creaturely being; see Duba-Friedman-Schabel, "Henry of Harclay and Aufredo Gonteri Brito,"  in Medieval Comm. on the Sent. of Peter Lombard, p. 304

Gonteri includes (at least) 15 questions from Gerard of Odonis's commentary on Book II. We have edited Odonis's Book II, dist. 1, part 1, qu. 2, which corresponds to Gonteri's Book II, dist. I, qu. 22. Again, Gonteri's choice is impressive, since this question asks "whether before its creation a creature has any being distinct from the being of its cause," and Odonis outlines nine sorts of being that a creature has before creation, in addition to the one being it receives at creation itself. Of the over 300 lines of text in this realist question, Gonteri copies verbatim about 35%, except for transitional statements where he abbreviates, saying for example, et sic de aliis. These ten modes of being are explained in the first 35% of the question, of which Gonteri copies a full 70%. In the second 35% of the question Odonis presents and responds to some objections; Gonteri omits this section entirely. Gonteri then abbreviates heavily in the last 30% of the question, incorporating only about 30% of that section.

Here are the ten modes:

Aufredus Gonteri, Ordinatio/Compilatio super II Sententiarum d. 1 q. 22 (Pamplona, Archivo de la Catedral, Ms. 5, f. 18vb):

Circa solutionem questionis est primo videndum de modis essendi creature ante sui creationem, circa quod sciendum quod creatura habet ante sui creationem 9 modos, et accipit unum per creationem et tunc* sunt X. Primus est esse producibile et potentiale, secundus esse ydeale, tertius esse intelligibile, quartus esse intellectum, quintus esse voluntabile, sextus esse volutum, septimus esse possibile, octavus esse positivum, nonus esse quidditativum, decimus quem per creationem accipit esse positum.

Concerning the solution of the question, first we must treat of the modes of being of a creature before its creation; concerning which it should be known that a creature has nine modes of being before its creation, and it receives one through creation and then there are ten. The first is producible and potential being, the second ideal being, the third intelligible being, the fourth understood being, the fifth willable being, the sixth willed being, the seventh possible being, the eighth positive being, the ninth quidditative being, the tenth which it receives through creation is posited(?) being

Friday, December 3, 2010

Steven Shakespeare on RO's "Scotus"

From Steven Shakespeare, Radical Orthodoxy: A Critical Introduction, by way of this blog

Apparently that's his real name.

"[...] Perhaps more significant still for Radical Orthodoxy is the belief that the seeds of secular decadence are sown by developments within Christian theology itself. The key villain of the piece is Duns Scotus, a medieval Franciscan theologian who died in the early fourteenth century. Scotus is accused of playing a major part in the breakdown of the 'analogical' world-view associated particularly with Thomas Aquinas (c. 1225-74). According to Aquinas, analogy was a way of talking about God which offered a middle way between two extremes. One extreme was univocal language, which assumed that words were used in exactly the same way when applied to God as they were when applied to anything else. This meant that God could only ever be different in degree (bigger and better) rather than different in kind from us and from the world. The other extreme was equivocal language, which held that words used of God meant something entirely different to their ordinary meaning. On this view, God was a blank, so utterly other to us that anything we said about God was empty and meaningless - hardly a promising prospect for for religious practice!

Analogy tried to avoid these dead ends by saying that some language (like 'God is love' or 'God is truth') could be properly used of God, as God was the source and perfect end of such qualities. However, there was still a high degree of unknowing in this account, as we could not tell exactly how such words and expressions applied to God.

Ideas of analogy can be involved and sophisticated. But the important thing to hold onto is that they try to keep open a possibility for true speech about God which doesn't either reduce God to being just one more thing (however exalted) among many in the universe, or make God into a black hole eternally irrelevant to us.

Duns Scotus is blamed with distorting this authentically Christian understanding of God and truth, because he said that 'being' is a univocal concept. In other words, there is no difference between the way in which God 'is' and the way in which a person or anything else 'is'. To be is the same thing in each case. God is different from us because of the infinite nature of his power. But this has just the consequences which analogy tried to guard against. It makes God the same kind of being as us, just (infinitely) bigger and better. The irony is that Duns Scotus' univocal view doesn't make God any closer to us, because to preserve God's uniqueness, he has to emphasize God's exalted difference from all creatures. God becomes almost identified with pure power.

A further consequence is that, as God is no longer related to us by a living chain of analogy, God becomes ever more hidden and dark to us. God retreats into the heavens, exercising his will from afar. And God's will becomes the arbitrary exercise of power. It has no inner relationship to human worth and fulfillment. God becomes the Law, imposed upon an essentially Godless world.

This account of Duns Scotus is highly controversial ...."

Comment:

I don't have much time or energy for a full-blown Cambridge Phantasist rant today, so I'll just point out a few things. None of this new, just a rehash of their ideas. But I like to be up-to-date. Note that implication that Scotus is not authentically christian, since he challenged the "analogical worldview". And don't ask me what a "living chain of analogy" is supposed to be. We find here the usual errors: Scotus' univocal concept is interpreted as if he meant it to be applied to the thomistic act of being, univocity paradoxically both makes God just like us but at the same time he is so otherly other that we can't reach him at all. Note also this curious emphasis on omnipotence, which has no basis in any text of Scotus. All divine attributes have the intrinsic mode of infinity. There is nothing special about omnipotence in this respect to make it somehow prior to goodness, will, intellect, and so on. Omnipotence is kind of a bust in Scotus, as all he really wants to discuss is whether it can be proven to be a divine attribute apart from divine revelation. So where this claim that power is identified with God comes from beats me. But texts were never the strength of the movement.

Walter Kauffman, in his introduction to the Portable Nietzsche, quoted a quip from Maritain (whose Thomistic credentials should be beyond reproof) that is relevant here: "If books were judged by the bad uses man can put them to, what book has been more misused than the Bible?"