The Gospel narratives describe three temptations in the wilderness. Each offered control—over necessity, over visibility, over order. Metaphysics faces analogous temptations: to reify what is structural, to mystify what is difficult, or to collapse intelligibility into subjectivity. Our task is to resist these temptations and think intelligibility and its conditions without seizing premature mastery.
Reality is intrinsically articulable. This is not a trivial claim. It means that reality can be determined in multiple ways—conceptually, formally, practically—without any single determination exhausting it. Articulation presupposes determinability: a structured openness that makes determination possible.
But determinability cannot be the first ontological word. For determination presupposes plurality, and plurality presupposes differentiation. If reality can be articulated in multiple ways, then there must already be more than one non-interchangeable locus capable of being taken up into articulation. That differentiation cannot itself arise from determinability without circularity. Determinability presupposes differentiated possibility.
We therefore call this structured openness differentiated possibility. Yet it must now be clarified: differentiated possibility does not originate as abstract modal structure. It originates as real, non-interchangeable particularity prior to intelligible articulation. It is not a domain of entities, not a stockpile of possibilia, not a logical space of consistent propositions. Nor is it chaotic flux or bare potentiality. It is the intrinsic determinability-structure of reality grounded in prior differentiation.
This differentiation cannot be brute. Bare numerical difference without ground halts explanation precisely where explanation is required. Nor can it arise from formal structure, since structure presupposes intelligible relations. Nor from universals, since universals presuppose articulation. Nor from matter, since matter belongs to determinate being. Differentiation prior to intelligibility requires grounding in a mode of agency capable of particularizing without predicating.
Only love performs this function. Love singles out without specifying. It establishes non-interchangeability without appealing to shared properties. Divine love therefore grounds differentiated possibility: what is first given is loved particularity—real plurality prior to articulation.
Differentiated possibility is pre-intelligible, not unintelligible. It is presupposed by acts of articulation rather than produced by them. Formal systems—logic, mathematics, normative critique—operate within intelligible regions, what we may call teleo-spaces. But teleo-spaces presuppose determinability, and determinability presupposes differentiated possibility grounded in divine love. Intelligibility takes up what love has first particularized.
Not all articulations are equally adequate. Some determinations are more fitting than others. This fittingness is not reducible to logical consistency. Consistency is a property of formal systems. Determinability is the ontological condition that makes formal articulation possible at all. Differentiated possibility is the ontological condition that makes determinability possible without collapsing into brute fact.
If determinability is structured and real, it cannot be self-grounding. It depends upon a source beyond modal articulation. That source cannot be another determinate entity, for all determinate being presupposes determinability. Nor can it be abstract modal structure. It must be living agency capable of grounding differentiation without brute fact and articulability without compulsion.
In philosophical terms, this ground is the condition for intelligibility. In theological terms, it is triune.
The Father creates differentiated possibility through love—grounding real, non-interchangeable particularity prior to articulation.
The Logos does not create plurality. The Logos articulates what love has given. Teleo-spaces are Logos-grounded fields of determinability within which loved particularity becomes intelligibly open without closure. Logos does not produce a realm of possibilia; Logos renders reality luminous to form.
Spirit does not mechanically determine outcomes. Spirit weights articulations toward fitting realization. Within teleo-spaces, possibilities are normatively ordered without coercion. The collapse from determinability to determination is not blind causation but responsive actualization.
This is not an appeal to mystery. It is a refusal to accept brute plurality, brute intelligibility, or brute normativity. Intelligibility presupposes determinability. Determinability presupposes differentiated possibility. Differentiated possibility presupposes divine love.
To think this without control is the beginning of metaphysical sobriety.
I. The Three Levels
We must distinguish three levels if we are to think clearly about differentiated possibility and avoid confusion.
First, there is determinate being: articulated, intelligible, actualized reality. At this level, something is what it is. It has form, structure, describable properties. It can be formalized, systematized, analyzed. Logic operates here. Mathematics operates here. Normative critique operates here. This is the level of what is already determined.
Second, there is determinability: the structured openness that makes determination possible. Determinability is not yet articulated form, but neither is it bare indeterminacy. It is the intelligible openness within which reality can support multiple determinations without being exhausted by any one of them. It is differentiated because what becomes articulated within it is not interchangeable. Some determinations are more adequate than others. This weighting is not imposed by subjectivity; it is encountered as resistance and responsiveness within the real.
Determinability is therefore pre-formal but not pre-differentiated. Formal systems articulate determinate structures. Determinability is the ontological condition that makes formal articulation possible at all. It cannot be reduced to logical consistency, for consistency presupposes articulated propositions. Nor can it be reduced to modal accessibility relations, for these are themselves formal constructions presupposing structured openness. Determinability is prior to formal representation, but it is not prior to plurality.
Third, there is the ground of differentiation: that which makes real plurality possible prior to intelligibility. If determinability is real and structured, it cannot be self-explanatory. Structured openness presupposes differentiated particularity. Plurality is not nothing. Non-interchangeability is not nothing. If reality is intrinsically articulable, that articulability depends upon a source that grounds differentiation without predication and openness without brute fact.
This ground cannot be another determinate entity within the field of articulation. Nor can it be abstract modal structure. It must be agency capable of particularizing without specifying—of establishing real non-interchangeability prior to intelligible form. Divine love alone fulfills this role. Love singles out without describing. It grounds plurality without relying upon universals, matter, or brute numerical difference.
Differentiated possibility, properly understood, names the relation between these levels. As grounded in divine love, it is real plurality prior to articulation. As articulated by the Logos, it becomes determinability—the structured openness within which determinate being can emerge. It is therefore neither determinate being nor ultimate ground, but the dependent openness of loved particularity rendered intelligible.
To collapse these levels is to invite confusion: to treat determinability as brute, to treat plurality as abstract, or to treat love as ornamental. To separate them without severing them is the task of metaphysics.
II. On the Status of Pre-Formal Structure
If determinability is structured yet pre-formal, we must clarify what kind of structure is at stake. For the analytic mind, “structure” immediately suggests rule, entailment, inferential necessity. But formal rule belongs to the first level—to articulated systems operating within already determinate domains. Pre-formal structure cannot be of that kind.
The structure of determinability is teleological orientation rather than formal rule. It is not “if X, then Y.” It is rather “X tends toward Y more fittingly than toward Z.” It is weighting rather than necessity, fittingness rather than entailment. This is why the transition from determinability to determination is not algorithmic. Algorithms function within formalized spaces. Determinability is the condition that makes such spaces possible in the first place.
We encounter this structure indirectly. Some formal articulations hold; others fracture under the weight of reality. Some normative determinations illuminate; others distort. This resistance is not brute obstruction. It is structured responsiveness. Reality does not submit equally to every articulation. It answers more readily to some than to others. That answering is not imposed by us; it is encountered.
To call this “pre-intelligible” is not to render it obscure or mystical. It is simply to say that determinability is presupposed by intelligibility rather than produced by it. Just as perception presupposes perceptibility without creating it, articulation presupposes determinability without generating it. Pre-formal structure is therefore real without being formally specifiable.
If this structure is neither formal rule nor subjective projection, it demands grounding. Teleological orientation is not self-originating. Weighting is not accidental. The articulability of reality—its capacity to support determinate form without being exhausted by it—depends upon a source that makes such orientation possible.
We now turn to that question.
III. The Ground of Determinability
If determinability is structured yet pre-formal, we must clarify what kind of structure is at stake. For the analytic mind, “structure” immediately suggests rule, entailment, inferential necessity. But formal rule belongs to the first level—to articulated systems operating within already determinate domains. Pre-formal structure cannot be of that kind.
The structure of determinability is teleological orientation rather than formal rule. It is not “if X, then Y.” It is rather “X tends toward Y more fittingly than toward Z.” It is weighting rather than necessity, fittingness rather than entailment. This is why the transition from determinability to determination is not algorithmic. Algorithms function within formalized spaces. Determinability is the condition that makes such spaces possible in the first place.
Yet teleological orientation cannot be assumed as primitive. Orientation presupposes plurality that is already non-interchangeable. If possibilities were brute and indifferent, no weighting could occur except by imposition. The fact that some articulations answer more adequately than others indicates that determinability is not a neutral field of interchangeable options. It is structured openness grounded in differentiated particularity. What is articulable has already been given as distinct prior to articulation. Teleology therefore does not float free; it arises from plurality that is not brute but grounded.
We encounter this structure indirectly. Some formal articulations hold; others fracture under the weight of reality. Some normative determinations illuminate; others distort. This resistance is not brute obstruction. It is structured responsiveness. Reality does not submit equally to every articulation. It answers more readily to some than to others. That answering is not imposed by us; it is encountered.
To call this “pre-intelligible” is not to render it obscure or mystical. It is simply to say that determinability is presupposed by intelligibility rather than produced by it. Just as perception presupposes perceptibility without creating it, articulation presupposes determinability without generating it. But perceptibility itself presupposes that there is something there to be perceived—something differentiated prior to the act of seeing. So too determinability presupposes plurality prior to articulation. Pre-formal structure is therefore real without being formally specifiable, yet it is not self-grounding.
If this structure is neither formal rule nor subjective projection, it demands grounding. Teleological orientation is not self-originating. Weighting is not accidental. The articulability of reality—its capacity to support determinate form without being exhausted by it—depends upon a source that can differentiate without predicating and particularize without imposing form. Only love can ground such non-interchangeable plurality without collapsing it into abstract structure or brute fact. Teleological orientation, as encountered within determinability, is therefore the intelligible expression of loved particularity rendered open to articulation.
We now turn to that question.
IV. Three Temptations Revisited
We may now see more clearly the temptations that threaten this account.
The first temptation is reification. Faced with the reality of determinability, we are inclined to turn it into a domain—into a stockpile of possibilia, a landscape of abstract objects, a realm of possible worlds. This promises clarity. It gives us something to point to. But it mistakes structure for substance. Differentiated possibility is not a collection of entities awaiting selection. It is the intrinsic articulability of reality itself.
The second temptation is mystification. Recognizing that determinability cannot be reduced to formal rule, we may be tempted to declare it ineffable, beyond thought, radically other than being. But this too is a form of control. It secures the ground by placing it beyond analysis. Yet the ground of intelligibility cannot be unintelligible. To say that determinability is pre-formal is not to say it is dark. It is simply to say that it is presupposed by formal articulation.
The third temptation is subjectivization. When we encounter weighting and fittingness, we may attribute them to projection, preference, or communal construction. But this collapses determinability into the structures of cognition. It forgets that formal systems and normative judgments encounter resistance. Reality answers. Not every articulation holds. The structured openness we describe is discovered, not invented.
These temptations mirror the deeper desire for mastery. We wish to possess the ground, to fix it, to neutralize its priority. Yet determinability precedes our grasp. It is the condition under which grasping becomes possible.
To think differentiated possibility rightly, then, is an exercise in restraint. It requires distinguishing levels without severing them, grounding structure without reifying it, and acknowledging dependence without surrendering clarity. Intelligibility is not self-generating. It is given within a reality that is already structured for articulation.
One may call that ground divine love, or leave it unnamed. The structure remains: reality is differentiated in love, articulated by Logos, and ordered without coercion toward fitting realization.
V. Differentiated Possibility and Being
A final clarification is required. How does differentiated possibility relate to being itself?
It is not prior to being, as though it were a substrate from which being emerges. Nor is it other than being, as though we were positing a parallel realm. And it is not identical with determinate being, for determinate being is already articulated.
Differentiated possibility names the openness of being as given in real plurality prior to articulation and rendered intelligible within it. It is not an addition to being, nor a shadow realm of unrealized options. It is the fact that being, as grounded in non-brute differentiation, is capable of multiple determinations without exhaustion. This openness is not indeterminacy. It is structured determinability arising from plurality that is neither abstract nor interchangeable.
Being is not mute stuff awaiting imposition. Nor is it a neutral field of modal variation. It is already differentiated without being specified, already given without being exhausted. Determinability is the intelligible openness of what has first been given as non-interchangeable. In this sense, differentiated possibility is the modal dimension of being—but only because being itself is grounded in loving differentiation and rendered intelligible through articulation.
To say this is not to multiply entities. We are not adding a new layer to reality. We are identifying a feature of reality’s very character: that it is differentiated without brute fact and open without arbitrariness. Determinate being is what reality is in articulation. Determinability is the openness that makes articulation possible. The ground of determinability is that by virtue of which plurality itself is neither necessary abstraction nor accidental fact.
This avoids two extremes. It avoids treating differentiated possibility as something that “exists” alongside beings, which would reify it. And it avoids dissolving it into a mere abstraction, which would render it fictional. Differentiated possibility does not exist as a thing. It is real as the openness of loved particularity to intelligible articulation.
If being were not intrinsically articulable, intelligibility would be accidental. If intelligibility were accidental, formal systems would float free of reality. But they do not. They succeed or fail in relation to what is. That success and failure presuppose structured openness within being—openness grounded in differentiation that is not brute.
Thus the question of differentiated possibility is not an excursion into speculative metaphysics. It is a disciplined attempt to name what must be the case if reality is intelligible at all and if plurality is not an unexplained remainder.
And that, finally, is the point.
VI. Intelligibility Without Mastery
We may now gather the threads.
Formal systems presuppose intelligible regions. Teleo-spaces presuppose determinability. Determinability presupposes differentiated plurality. Differentiated plurality presupposes a ground capable of particularizing without predication. None of these levels is self-generating. Each depends upon what it does not produce.
To acknowledge this is not to weaken rationality but to secure it. If intelligibility were self-grounding, it would be arbitrary. If determinability were chaotic, articulation would be accidental. If plurality were brute, normativity would be inexplicable. If the ground were another determinate object, regress would be unavoidable. The only coherent account is that reality is intrinsically articulable because it is first non-brutely differentiated and that this differentiation depends upon a source that is not itself one more articulation.
This account requires restraint. It refuses to convert differentiated possibility into a realm of abstract objects. It refuses to mystify the ground into darkness. It refuses to collapse structure into subjectivity. Instead, it holds that intelligibility is real because reality is first given in differentiated particularity and then rendered open to articulation, and that this ordered dependence is grounded.
In theological grammar, one may say: the Father differentiates through love, grounding real plurality without brute fact; the Logos renders that plurality determinable, articulating teleo-spaces within which intelligibility becomes possible; the Spirit weights articulation toward fitting actualization without coercion. But this grammar does not replace philosophical analysis. It interprets it. The philosophical claim stands on its own: reality is non-brutely differentiated, intrinsically articulable, and dependent in its openness.
The temptation remains to control—to reduce the ground to formalism, to dissolve differentiation into projection, or to elevate structure into abstraction. But metaphysical sobriety requires something different. It requires thinking the conditions of intelligibility without collapsing them into what they enable and without ignoring the source that first differentiates what can be articulated.
Few will find this compelling. Fewer still will follow the distinctions carefully. Yet clarity here matters. If intelligibility is not grounded, it is fragile. If differentiation is brute, normativity collapses. If determinability is not real, articulation is arbitrary. To think differentiated possibility is therefore not an academic indulgence. It is fidelity to what makes thought possible.
That fidelity, even when unnoticed, is its own justification.
VII. Conclusion: The Modesty of Metaphysics and the Possibility of Critique
We began with temptations in the wilderness—three offers of control that would short-circuit the difficult work of thinking. Metaphysics faces analogous temptations at every turn: to reify structure into substance, to mystify difficulty into darkness, to collapse objectivity into construction. Throughout this essay, we have attempted to resist these gestures not through apophatic retreat but through careful distinction.
The argument can now be stated with greater precision. Reality is intrinsically articulable because it is first non-brutely differentiated. Its articulability is not chaos, not bare potentiality, not infinite plasticity. It is structured: some determinations are more fitting than others. Yet this structure is not formal in the way rules are formal. It is pre-formal—the ontological condition that makes formal articulation possible at all.
We have called this structured openness differentiated possibility. Properly understood, it names being as given in real plurality prior to articulation and rendered intelligibly open within it. It occupies the middle level of our account: beneath determinate being, above its loving ground. It is neither a domain of possibilia nor a logical space. It is the determinable openness of loved particularity—real, structured, dependent.
This claim is not ornamental. It is necessary. For if plurality were brute, intelligibility would be accidental. If determinability were chaotic, articulation would be arbitrary. If structure were self-grounding, regress would follow. Our experience of inquiry suggests none of these. Reality resists, but it does not exhaust; it answers, but it is not imposed upon. That resistance and responsiveness presuppose differentiated particularity rendered open to articulation.
This account has consequences that extend beyond metaphysics proper.
Consequences for Formal Systems
Formal systems operate by rule-governed transformation within defined spaces. An algorithm presupposes criteria for legitimate inputs, valid outputs, and successful completion. But those criteria are not generated by the algorithm itself. They belong to a prior domain of intelligibility within which rule-following is meaningful.
We have called such domains teleo-spaces: non-algorithmic spaces of oriented intelligibility in which fittingness, adequacy, and distortion can be discerned. Teleo-spaces are not mystical domains. They are the Logos-articulated openness of plurality already given.
If teleo-spaces presuppose determinability, and determinability presupposes non-brute differentiation, then no formal system is self-justifying. Mathematical Platonism errs by reifying determinability into abstract objects. Formalism errs by treating consistency as foundational rather than derivative. Nominalism errs by dissolving structure into convention.
The middle path recognizes that formal systems articulate what is already structurally available because reality has first been differentiated and rendered open. Mathematics does not create mathematical possibility; it discovers regions of determinability grounded in plurality. Logic does not generate logical space; it operates within openness it did not produce.
This does not relativize formal knowledge. It grounds it. Algorithms function, proofs convince, models succeed—because reality is articulable in structured ways. Algorithmicity is powerful, but it is not ultimate. It presupposes teleological intelligibility grounded prior to formal rule.
Teleo-spaces are therefore not competitors to formal systems. They are their condition of possibility.
Consequences for Critique
If determinability is structured and real because plurality is non-brutely given, then normativity is not an external addition to being. It is implicit in structured openness itself. To say that some articulations are more fitting than others is already to acknowledge orientation toward adequacy grounded in what is.
If life is determinable in ways that are more and less fitting to its structure, then distortion is not merely inefficiency but misalignment with the differentiated character of reality. Normativity is not imposed upon the real; it is encountered within the real.
Critique therefore becomes intelligible without circularity. To judge a social arrangement as alienating is not merely to express preference. It is to discern a gap between actuality and a more adequate articulation of life. That gap is not constructed by the critic. It is disclosed within structured determinability grounded in non-interchangeable plurality.
If normativity were entirely generated by evolving structures, critique would lose its force. It would describe one configuration judging another. But critique claims more. It claims that alienation wounds something real. Differentiated possibility—being as non-brutely differentiated and articulable—provides the ontological grounding that makes such claims intelligible.
This does not render critique dogmatic. It renders it metaphysically responsible.
Consequences for Theology
The theological interpretation of this account is neither compulsory nor decorative. If differentiated possibility is real, structured, and dependent, it points beyond itself. The ground of differentiation cannot be abstract structure or brute fact. It must be agency capable of particularizing without predicating.
Christian theology names this ground divine love. Love differentiates without relying on prior universals. It grounds real plurality without brute remainder. Logos renders that plurality determinable—articulable without exhaustion. Spirit orders articulation toward fitting realization without coercion.
Theology does not replace metaphysics here. It names what disciplined metaphysics cannot avoid intimating: that intelligibility presupposes non-brute differentiation and that such differentiation requires grounding beyond formal rule.
The philosophical claim stands independently: reality is non-brutely differentiated, intrinsically articulable, and dependent in its openness.
The Resistance to This Account
Objections will remain.
The analytic philosopher will demand formal criteria for determinability. But formal criteria presuppose the structured openness they seek to specify.
The phenomenologist will worry that abstraction obscures lived disclosure. Yet determinability is not speculative posit; it is encountered in the resistance and responsiveness of the world.
The naturalist will insist that teleo-spaces can be reduced to physical causation and evolutionary contingency. Yet causal description alone does not explain why adequacy can be recognized or why articulation tracks what is rather than drifting free.
These objections clarify the stakes. The issue is not whether algorithms function or whether physical processes occur. The issue is whether intelligibility itself can be accounted for without presupposing non-brute differentiation and structured openness.
A Final Word
Intelligibility is not self-generating. Formal systems do not create the regions within which they operate. Critique does not invent the norms by which it judges. Algorithmicity does not generate the teleo-spaces that make it possible. Life does not construct its own significance ex nihilo.
Each presupposes what it does not produce.
If intelligibility depends upon what it does not generate, then it is received before it is mastered. That reception is not passivity; it is participation in structured openness grounded in love.
Metaphysics, rightly practiced, does not seize mastery over its object. It submits to the conditions that make thought possible. In that submission, it discovers that plurality is not brute, that intelligibility is not accidental, and that the ground of articulation is neither abstract rule nor opaque remainder.
One may call that ground divine love, or leave it unnamed. The structure remains: reality is non-brutely differentiated, rendered intelligible without exhaustion, and dependent in its openness.
To think this without control is the task. To think it faithfully is the vocation.
DDB: Articulation presupposes determinability: a structured openness that makes determination possible. But determinability cannot be the first ontological word. For determination presupposes plurality, and plurality presupposes differentiation. If reality can be articulated in multiple ways, then there must already be more than one non-interchangeable locus capable of being taken up into articulation. That differentiation cannot itself arise from determinability without circularity. Determinability presupposes differentiated possibility. We therefore call this structured openness differentiated possibility.
ReplyDeleteJAS: After a careful review of our lengthy exchange in the comments associated with your 02/10 post, my sense is that we agree on all this, and where we still disagree is on whether the "structured openness" of "differentiated possibility" is a (Peircean topical) continuum--I say yes, you say no. As I see it, the non-interchangeable loci are not only "more than one" but *inexhaustible*, exceeding all multitude. They are infinitely differentiated, but not numerically so, because that would entail discreteness: one-to-one correspondence with either the natural numbers or the real numbers. Despite having great respect for the pioneering mathematical work of Cantor and Dedekind, Peirce calls the latter a "pseudo-continuum" because it is bottom-up rather than top-down, and a true continuum cannot be built up from more basic units.
Jon,
DeleteYou are right that our disagreement has narrowed. The issue is not plurality, nor inexhaustibility. It is whether the structured openness of differentiated possibility simply is a Peircean continuum.
Here is where I still resist.
A true continuum, as Peirce insists, cannot be built up from discrete units. Agreed. But my concern is not discreteness. It is grounding. Even a top-down continuum remains a mode of generality. It names how possibilities hang together without bottom-up construction. It does not yet explain why this hanging-together is intelligible rather than indifferent.
You say the loci are inexhaustible, infinitely differentiated but not numerically discrete. That is a powerful claim. Yet “infinitely differentiated” still presupposes that differentiation itself is meaningful. It presupposes that variation occurs within an order that can count as articulation rather than dispersion.
My question remains: what makes the continuum oriented rather than neutral?
If continuity is primordial, then its normativity must be intrinsic. But intrinsic how? If we say it is semiosic, then semiosis already implies directedness toward interpretability and truth. That directedness cannot simply be identical with continuity as such. It is teleological.
So I am not proposing discreteness against continuity. I am proposing that even Peirce’s top-down continuum presupposes a deeper ontological orientation that is not exhausted by the category of Thirdness. Continuity explains coherence of variation. It does not finally explain why variation is ordered toward intelligibility.
That is the point at which I continue to press.
In my view, the "hanging-together" of the primordial continuum "is intelligible rather than indifferent" precisely because it is *semiosic*, and it is "oriented rather than neutral" because God deliberately speaks it such that it can be properly understood by us as revealing Him; that is its primary purpose, so that we might know God (cf. John 17:3). After all, "articulation" can be used as a synonym for "intelligible utterance," and "address" can be used as a synonym for "utterance directed at someone." As our fellow Lutheran Johann Georg Hamann succinctly put it, all of creation is "an address to the creature through the creature." Again, every continuum is intrinsically normative/teleological because, in Peirce's words, it is "of a Rational nature" and therefore "governed by final causes"; and semiosis is intrinsically normative/teleological because the dynamical interpretants (actual effects) of signs are governed by their final interpretants (ideal effects), which in the case of the entire universe is God completely revealed.
DeleteDDB: Differentiation prior to intelligibility requires grounding in a mode of agency capable of particularizing without predicating.
ReplyDeleteJAS: In Peircean semiotic terms, this corresponds to denoting something without signifying anything, which would be the effect of a purely *indexical* sign--identifying an object without conveying any information about it. The problem is that there are no such strictly degenerate signs, because they would not have any interpretants. (Please note: In this context, as with triadic relations, "degenerate" is not synonymous with "deficient," it simply means "not genuine"; Peirce adapts the term from degenerate conic sections in geometry.) Instead, all signs are symbolic (3ns) to some degree, but they *involve* indexical signs (2ns), as well as iconic signs (1ns) that primarily signify something without denoting anything. In fact, according to Peirce, "It has been shown that in the formal analysis of a proposition, after all that words can convey has been thrown into the predicate, there remains a subject that is indescribable and that can only be pointed at or otherwise indicated, unless a way, of finding what is referred to, be prescribed."
Jon,
DeleteThat is a very helpful clarification.
But here is precisely where I part company.
You are right that a purely indexical “denotation without signification” would be degenerate in Peirce’s strict semiotic sense, because every genuine sign involves an interpretant. I grant that. My claim, however, is not semiotic in the first instance. It is ontological.
When I say that differentiation prior to intelligibility requires grounding in a mode of agency capable of particularizing without predicating, I am not describing a degenerate sign. I am describing a pre-semiotic condition.
Peirce’s analysis begins once we are already within semiosis. But my question is about the condition under which semiosis is possible at all. Even the “indescribable subject” that can only be pointed at presupposes that there is something there to be indicated. The index does not create its object; it presupposes it.
My claim is that numerical non-interchangeability cannot arise from sign-structure alone. The semiotic triad explains how objects are denoted and signified. It does not explain why there are irreducibly distinct loci to be denoted in the first place.
Agency capable of particularizing without predicating is not an index. It is the ontological ground of indexability.
That is the pressure point.
In my view, since the one root of all contingent being is the being of a sign, whatever is ontological *within* the created universe is also semiotic. Accordingly, the only "pre-semiotic condition" is the being of God Himself prior to creation. What occurs to me now is that perhaps this is where we might be able to converge eventually, at least to some degree, since indeed "God is love" (1 John 4:8&16). However, I must point out again that "numerical non-interchangeability" entails discreteness, which cannot be prior to continuity; and I add that if the loci were "irreducibly distinct," rather than different yet indefinite, then they would likewise have to be discrete.
DeleteDDB: Love singles out without specifying. It establishes non-interchangeability without appealing to shared properties. Divine love therefore grounds differentiated possibility: what is first given is loved particularity—real plurality prior to articulation. ... Intelligibility presupposes determinability. Determinability presupposes differentiated possibility. Differentiated possibility presupposes divine love.
ReplyDeleteJAS: Singling out something *is* specifying it, at least in the sense of denoting it, even if it is not described. Love must have an object, and as soon as something is loved, it is determined and truthfully predicated as that which is loved; when an otherwise unattached line of identity is scribed on the blank sheet to denote an object of divine love, we can immediately attach the word "loved" to it. Again, I suggest that "real plurality prior to articulation" is an accurate description of a (Peircean topical) continuum, such as the blank sheet itself. Although your formulation quoted after the ellipsis is very appealing from a theological standpoint, I remain inclined to substitute a (Peircean topical) continuum for divine love as that which differentiated possibility presupposes.
Jon,
DeleteYou are right that as soon as something is loved, it can be truthfully predicated as “loved.” But notice what has happened in your formulation. The predicate loved is not what grounds the singularity; it is parasitic upon it.
To say “love must have an object” is already to concede my point. The object is not constituted by the predication. It is presupposed by the act. The line of identity you describe as scribed on the blank sheet is not generated by the sheet. It is imposed by agency.
Here is the crucial distinction: denoting is a semiotic operation; singling out, as I am using it, is ontological. The continuum may be a fitting image for “real plurality prior to articulation,” but a blank sheet, even as a Peircean topical continuum, does not explain why one locus is non-interchangeable with another. A continuum explains continuity of variation. It does not explain particularization.
If divine love singles out, it does not first describe and then attach “loved” as a predicate. It establishes non-substitutability. The plurality is not inferred from properties; it is given as addressable. The predication “loved” follows; it does not ground.
So the disagreement is not theological preference versus semiotic rigor. It is this: does differentiated possibility arise from continuity alone, or does continuity itself presuppose a mode of agency capable of particularizing without prior specification?
You substitute the continuum for divine love at the grounding level. I am asking whether the continuum, even in its Peircean strength, can account for singularity without already presupposing what only agency can supply.
These are valid points, but again, in my view, since the one root of all contingent being is the being of a sign, whatever is ontological *within* the created universe is also semiotic. That includes "singling out," which is an indexical act, indeed "imposed by agency"; Peirce sometimes describes Existential Graphs in terms of a graphist (God) scribing all the initial graph-instances and interpreters (us) transforming them in accordance with certain rules to derive what follows necessarily from them. As I see it, God creates the entire semiosic continuum *as a whole*, "declaring the end from the beginning" (Isaiah 46:10); it is a vast symbol (3ns) *involving* indices (2ns) that denote subjects and icons (1ns) that signify predicates. Peirce: "[T]he Universe is a vast representamen [sign], a great symbol of God's purpose, working out its conclusions in living realities. Now every symbol must have, organically attached to it, its Indices of Reactions and its Icons of Qualities; and such part as these reactions and these qualities play in an argument, that they of course play in the Universe, that Universe being precisely an argument." Also: "The mode of being of the composition of thought, which is always of the nature of the attribution of a predicate to a subject, is the living intelligence which is the creator of all intelligible reality, as well as of the knowledge of such reality. It is the *entelechy*, or perfection of being."
DeleteDDB: Reality is intrinsically articulable because it is first non-brutely differentiated. Its articulability is not chaos, not bare potentiality, not infinite plasticity. It is structured: some determinations are more fitting than others.
ReplyDeleteJAS: Again, we agree on all this, but I maintain that it is fully consistent with conceiving that normative structure of non-brutely differentiated reality as a (Peircean topical) continuum. I string together these quotations from Peirce himself in my paper about it: "Efficient causation is that kind of causation whereby the parts compose the whole; final causation is that kind of causation whereby the whole calls out its parts"; "Rationality is being governed by final causes"; and "Continuity is of a Rational nature." He adds the following in a footnote to the last statement: "To my humble intelligence, the Rationality of Continuity, the chief character of the foundation stones of the real universe, adds another to the hundred already interpretable revelations of our Super-august and Gracious Father." Hence, even when understood as a continuum, "If differentiated possibility is real, structured, and dependent, it points beyond itself."
Moreover, since "Reality is intrinsically articulable," it is entirely capable of being represented and thus (ultimately) known. For Peirce, although "really being and being represented are very different," really being and being *representable*--and thus likewise being of the nature of a sign--are the same: "The very entelechy of being lies in being representable. ... This appears mystical and mysterious simply because we insist on remaining blind to what is plain, that there can be no reality which has not the life of a symbol." He says elsewhere, "Metaphysics consists in the results of the absolute acceptance of logical principles not merely as regulatively valid, but as truths of being. Accordingly, it is to be assumed that the universe has an explanation, the function of which, like that of every logical explanation, is to unify its observed variety. It follows that the root of all being is One; and so far as different subjects have a common character they partake of an identical being." My ontological hypothesis is that the One root of all contingent being is the being of a sign, which is why I conceive the entire created universe as one immense utterance of God, a *semiosic* continuum.
Jon,
ReplyDeleteI think we have reached the point where a classical distinction becomes helpful.
There is a long philosophical tradition — phenomenological and analytic alike — that distinguishes between *singling something out* and *predicating something of it*. The act of particularizing is not identical with the act of attaching a predicate, even a true one. To say “x is loved” is already to speak about what has been singled out. The singling out itself is not reducible to that predication.
That is the distinction I am trying to preserve.
You argue that continuity, understood as rational and semiosic, can fully ground non-brute differentiation. I grant that Peirce’s account is extraordinarily rich. But even if continuity is rational, and even if being is intrinsically representable, representability is not identical with particularization. To be representable is to be available to sign-structure. It is not yet to be non-interchangeably this rather than that.
The continuum, even as semiosic, explains how reality can be articulated and unified. It does not finally explain why there are irreducibly distinct loci to be articulated.
You quote Peirce: “The very entelechy of being lies in being representable.” That is magnificent. But representable to whom? Representable within what? The move from representability to semiosis already presupposes an orientation that is not itself just another feature of continuity.
So I am not denying that continuity can be rational, nor that it can be the medium of final causation. I am asking whether continuity — even rational continuity — is sufficient to account for non-substitutability. My suggestion is that singularity arises from a mode of agency that can particularize without first describing.
That is why I place love at the grounding level.
You see the One root of being as semiosic. I see semiosis as already presupposing a more primitive non-brute differentiation. That is our precise point of divergence.
And it is a subtle one.
Again, your point about the distinction between "singling something out" and "predicating something of it" is well taken, consistent with Peirce's logical principle that every proposition has at least one subject that must be indicated or found, not described using words. Accordingly, I suggest once more that both actions are involved in God's one utterance of the entire universe, from beginning to end, as a semiosic continuum. Non-interchangeable particulars are denoted by indexical signs, while their qualities and relations are signified by iconic signs, all of which--along with the propositions that unite them--can be prescinded from the real and continuous whole, an immense symbol, which is ontologically prior to them. Peirce: "There is but one *individual*, or completely determinate, state of things, namely, the all of reality. A *fact* is so highly a prescissively abstract state of things, that it can be wholly represented in a simple proposition."
DeleteJon, I agree completely about the logical distinction between singling something out and predicating something of it. Peirce is right that every proposition must have a subject that is indicated or found rather than described. Reference precedes predication. One must first designate something before one can say anything about it.
DeleteWhere I hesitate is with the next step: the claim that these acts are abstractions from a prior semiotic continuum, the universe as one immense symbol. That picture preserves an important intuition about unity, but it seems to reverse the ontological order implied by the logic of reference itself.
Indexical reference works only because there are already non-interchangeable loci to which the index can attach. If reality were first a continuous symbolic whole, the individuality of the denoted item would have to be derived from that continuum. Yet the very possibility of indication presupposes real differentiation. One can point only because there is already something numerically distinct to point to.
The same structure appears in formal semantics. In model theory, terms first designate elements of a domain, and only then do predicates attribute properties or relations to those elements. Predication presupposes the prior availability of distinguishable items within the domain of reference.
So the disagreement may be stated simply. Your Peircean picture begins with continuity and derives individuality by prescission. My proposal begins with differentiated addressability and then explains how intelligibility arises through articulation. The unity of reality is therefore not best described as a continuous symbol, but as an ordered field of intelligibility within which differentiation is already given.
In short, indication presupposes differentiation. Predication then articulates what has first been singled out.