Tag: Assumptions

Pure Reason?

Hegel’s “logic” takes what Kant calls pure reason as its subject matter. Hegel regards Kantian pure reason as a world-changing revolution, because in contrast to early modern views, it seeks not to imitate the formal character of mathematical reasoning, but rather to achieve the discipline of a kind of self-sufficiency that does not appeal to anything external to it. Kant and Hegel differ on the scope of this self-sufficiency, but that is a different matter.

Early modern views of the world generally rely on many substantive assumptions. There is strong motivation for them to do so, because in order to yield any substantive conclusions, reasoning of a broadly formal kind requires substantive assumptions. The assumptions are typically of a sort analogous to those that Aquinas regards as grounded in the natural light of reason, which is not itself reason, but a kind of originating intuition of truth given to us by God. Descartes, for example, explicitly appeals to a variant of the Thomistic doctrine of natural light.

(The strong Thomistic notion of the natural light of reason and of reason’s relative autonomy from the simple dictates of authority is itself a development of almost inestimable importance, compared to completely authority-bound views of religion such as present-day fundamentalism. Indeed, something like the natural light of reason was never completely absent from the earlier medieval tradition either.)

But for Kant, reason is purely discursive, and cannot appeal to any intuitive source of truth like a natural light. Pure reason is nonetheless supposed to be able to stand on its own. In Kant’s language, it is “autonomous” (see also Kant’s Groundwork; Self-Legislation?). Kant’s critique of dogmatism especially targets assumptions that are naively realistic in the sense of claiming direct knowledge of external or inner objects, but it is broader than that.

Kant in the Critique of Pure Reason is most directly responding to empiricist views broadly associated with Locke, which were dominant in England and France, and popular in Germany in his day; but even more so to the rationalist system of Christian Wolff (1679-1754), which then dominated German academic teaching. (Wolff was an accomplished mathematician who had corresponded with Leibniz, and greatly contributed to popularizing the part of Leibniz’s philosophy that Leibniz had published in his own lifetime. Like Leibniz, he is associated with moderate Enlightenment, while at the same time showing a degree of sympathy for scholastic philosophy.)

Kantian pure reason effectively aims to be free of unnecessary assumptions, especially those of the Wolffian system, but also those of the empiricists. Kant also criticizes Wolff’s and Spinoza’s idea that philosophical reasoning should as much as possible resemble mathematical reasoning. What makes it possible for Kant to avoid assumptions beyond the famous “God, freedom, and immortality” (and for Hegel to avoid any assumptions at all) is a move away from the early modern ideal of reason as formal.

Without ever explicitly saying so, Kant in fact takes up and works with a notion of reason that is close to aspects of Plato and Aristotle that were generally neglected in the intervening tradition. Reason in Plato, Aristotle, Kant, and Hegel is not limited to formal reasoning. It includes what in more recent times Sellars and Brandom have elaborated under the name of material inference.

Formal reasoning is called formal because it is supposed to apply to all things, independent of any analysis of meaning. But this makes it dependent on assumptions in order to yield conclusions. Material inference — which was also present as a minor theme in scholastic logic — is on the contrary grounded in the interpretation of meaning. It is this reflective grounding that can enable reason to be autonomous and “pure”, with no reliance on anything external to it.

Sellars illustrates material inference with examples like “there are dark rain clouds in the sky, so I should take my umbrella when I go out”. Brandom elaborates with an account of how such judgments may be successively refined based on additional information. In general, if I strike a match correctly, it will light. But under certain conditions, it will not light. But under yet more specific additional conditions, it will in fact still light.

Both Sellars and Brandom — working within the tradition of contemporary analytic philosophy — tend to reach for examples that involve empirical facts, and relations of cause and effect in the broad modern sense. But material inference is more general than that. It is grounded in meaning as we encounter it in real life. Its scope is not limited to any particular kind of meaning, nor does it assume any particular theory of meaning.

Pure reason, then — far from excluding meaning, as formal logic does — is concerned with the progressive self-clarification of meaning — or Kantian “taking as”, or judgment — in a reflective context.

For Hegel, “logic is to be understood as the system of pure reason, as the realm of pure thought” (Science of Logic, di Giovanni trans., introduction, p. 29). This is what he calls the “concept of science”, and also “absolute knowledge” (p. 28). As I’ve pointed out before, in Hegel these terms have specialized meanings that are far from their ordinary connotations in English. Science need not be empirical, and “absolute” in this context just means the same thing as “pure” or “autonomous” — that reflective judgment need presuppose nothing outside itself.

For Hegel, the standpoint of pure reason (or “science”, or “absolute” knowing) is that of reflective judgment. The whole effort of the Phenomenology of Spirit is required to reach this point, which he then uses as a starting point in the Logic.

“Pure science thus presupposes the liberation from the opposition of consciousness [between itself and its object]…. As science, truth is pure self-consciousness as it develops itself and has the shape of a self, so that that which exists in and for itself is the conscious concept and the concept as such is that which exists in and for itself” (p. 29, emphasis in original).

The reflective concept has the shape of a “self” — a reflexivity — that is not to be identified with our empirical self, but rather is related to the reflective character of self-consciousness, which overcomes the simple opposition between consciousness and its object.

“This objective thinking is thus the content of pure science. Consequently, far from being formal, far from lacking the matter for an actual and true cognition, it is the content which alone has absolute truth” (ibid).

He calls reflective judgment objective thinking, precisely because it begins only after the separation of consciousness from its object ends. Reflective judgment and self-consciousness will not be separated from “the concept” in which they are embodied. Rather, we have here a case of the Aristotelian identity of pure thinking with what it thinks.

“Logic has nothing to do with a thought about something which stands outside by itself as the base of thought; nor does it have to do with forms meant to provide mere markings of the truth; rather, the necessary forms of thinking, and its specific determinations, are the content and the ultimate forms of truth itself.”

“To get at least some inkling of this, one must put aside the notion that truth must be something tangible. Such tangibility, for example, is carried over even into the ideas of Plato which are in God’s thought, as if they were, so to speak, things that exist but in another world or region, and a world of actuality were to be found outside them which has a substantiality distinct from those ideas and is real only because of this distinctness” (pp. 29-30).

Truths are not objects, and they are not given to us in the way that ordinary consciousness takes objects to be. For Hegel, moreover, spiritual values do not have to do with turning away from this world in favor of another one. They are intended to guide us in life.

“There will always be the possibility that someone else will adduce a case, an instance, in which something more and different must be understood by some term or other” (p. 28).

Reflection and interpretation are inherently open-ended.

“How could I possibly pretend that the method that I follow in this system of logic, or rather the method that the system itself follows within, would not be capable of greater perfection, of greater elaboration of detail? Yet I know that it is the one true method. This is made obvious by the fact that this method is not something distinct from its subject matter and content — for it is the content in itself, the dialectic which it possesses within itself, which moves the subject matter forward. It is clear that no expositions can be accepted as scientifically valid that do not follow the progression of this method and are not in tune with its simple rhythm, for it is the course of the fact [Sache] itself” (p. 33).

Translator di Giovanni comments in his glossary, “In non-technical contexts, [Sache] can and should be translated in a variety of ways, such as ‘substance’, or even ‘thing’. As category, however, ‘fact’ seems to be the best rendering. Sache, like ‘fact’, denotes a thing or a situation which we understand to implicitly contain all the factors required for an explanation of its existence. Its presence therefore cannot be doubted even when those factors have yet to be made explicit. The related word, Tatsache, was first coined… in order to translate the English term ‘matter of fact'” (pp. lxxi-lxxii).

To me, these sound like reasons for calling Hegel’s Sache something other than “fact”. Especially in a work of “logic” that invokes “science”, the English word “fact” would most commonly be taken taken to mean an unambiguous empirical truth. Both what I think Hegel means and the explanation di Giovanni gives of it seem better suited by the more open connotations of an English phrase like “the concrete case” or “the matter at hand”. The Sache is something objective, but it is objective in the indefinite sense of a Gegenstand [“object” in the sense of something standing over and against us, but whose nature has yet to be determined].

I used to think that reason that would be applicable to life (or to anything like Hegel’s Sache) could not possibly be pure. I now think that with the inclusive character of reflective judgment and material inference, it can be pure.

Demonstrative “Science”?

The “historiographical” notes on the history of philosophy I offer here from time to time are a sort of compromise. For much of my life, I’ve been very concerned with the fine grain of such history, and with casting a broad net encompassing many historical figures. Here, I made a strategic decision to focus instead on a mere handful of philosophers I consider most important.

Discussion of actualization in Hegel led to actualization in Aristotle, which led me to indulge my fascination with the Aristotelian commentary tradition. To the extent that it is possible to generalize about the historic readings discussed in the Greek, Arabic, Hebrew, and Latin commentaries, my own view of Aristotle is quite different on a number of key points, having more in common with some modern readings. Nonetheless, I am enormously impressed by the levels of sophistication shown by very many writers in this tradition.

I just mentioned al-Farabi again. As previously noted, al-Farabi (10th century CE) played a great historic role in the formulation of Arabic (and consequently, Hebrew and Latin) views of Aristotle. The Syrian Christians who did the majority of the translating of Aristotle to Arabic from Syriac had access to most of Aristotle’s works, but publicly only taught from the logical treatises. It was al-Farabi who initiated public teaching of the full range of Aristotelian philosophy in the Islamic world. He flourished during the so-called Islamic golden age, a time of tremendous interest in ancient learning not only by aristocrats but by many literate skilled crafts people. The political climate of the Islamic world at the time was much more embracing of secular learning than it came to be between the 13th and 19th centuries CE.

One unfortunate aspect of al-Farabi’s reading was a very strong privileging of a notion of demonstrative “science” over Aristotle’s own predominant use of dialectic in philosophical development. This was based on a reading of Aristotle’s Posterior Analytics as propounding a model of “science” as a deductive enterprise expected to result in certain knowledge, which is still dominant today, but which I (following a number of modern interpreters) think involves a misreading of the basic aims of Aristotelian demonstration.

The idea that Aristotle was fundamentally concerned to develop “sciences” yielding certain knowledge gave a more dogmatic cast to his whole work, which has been a contributing factor in common negative stereotypes of Aristotle. Many modern commentators who still accept this reading of Posterior Analytics have been puzzled by the huge gap between this and Aristotle’s actual practice throughout his works, which in fact is mainly dialectical. I think a careful reading of the Topics (on dialectic) and Posterior Analytics (on demonstration) with consultation of the Greek text on the originals of some key phrases yields a view that is far more consistent with Aristotle’s actual practice.

Demonstration is a pedagogical way of showing very clear reasons for certain kinds of conclusions. It works by assuming some premises are true, whereas dialectic makes no such assumption. Thus the only necessity that results from demonstration is the “hypothetical” one that if the premises are true, then the conclusion is also true. But the more important point in regard to the classic syllogistic form is that the common “middle term” that allows the major and minor premises to be both formally and materially composed together illuminates why we ought to consider it appropriate to assume the conclusion is true if we believe the premises are true.

Dialectic, as I have said, is cumulative, exploratory discursive reasoning about meanings in the absence of initial certainty. This is how Aristotle mainly approaches things. Dialectic implicitly relies on the same logical form of syllogistic argument explicitly used in demonstration, but Aristotle distinguishes dialectic and demonstration by whether premises are treated as hypotheses to be evaluated, or as hypothetically assumed “truths” to be interpreted.

It is also important to note that in the Latin scholastic tradition, the dogmatic trend resulting from wide acceptance of claims about demonstrative science was significantly mitigated by a strong counter-trend of evenhandedly analyzing arguments pro and con, which effectively revived a form of dialectic. (See also Foundations?; Fortunes of Aristotle; Scholastic Dialectic.)

Openness of Reason

In life, we most often do not really know what we are doing, but still, most of the time we find our way. This involves many small “leaps”, or actions on based on assumptions that we don’t actually know are true. These are unavoidable, they are “reasonable”, and most of the time they are harmless.

In forming views of the world, we need the maturity to distrust systematic unity or strong coherence as a supposed accomplishment, while still pursuing it as a goal. (See also One, Many; Unity of Apperception; Error; Foundations?; Interpretation.)

If we have a concept of Reason as something well distinguished but still fundamentally open in the last instance — which I find especially clear and well developed in Aristotle, Brandom, and Ricoeur — then we have no need ever for Kierkegaardian irrational “great leaps” or arbitrary founding decisions in the style of Badiou.

Totality

The last post suggests another nuance, having to do with how “total” and “totality” are said in many ways. This is particularly sensitive, because these terms have both genuinely innocent senses and other apparently innocent senses that turn out to implicitly induce evil in the form of a metaphorically “totalitarian” attitude.

Aiming for completeness as a goal is often a good thing.

There is a spectrum of relatively benign errors of over-optimism with respect to where we are in achieving such goals, which at one end begins to shade into a less innocent over-reach, and eventually into claims that are obviously arrogant, or even “totalitarian”.

Actual achievements of completeness are always limited in scope. They are also often somewhat fragile.

I’ll mention the following case mainly for its metaphorical value. Mathematical concepts of completeness are always in some sense domain-specific, and precisely defined. In particular, it is possible to design systems of domain-specific classification that are complete with respect to current “knowledge” or some definite body of such “knowledge”, where knowledge is taken not in a strong philosophical sense, but in some practical sense adequate for certain “real world” operations. The key to using this kind of mathematically complete classification in the real world is including a fallback case for anything that does not fit within the current scheme. Then optionally, the scheme itself can be updated. In less formal contexts, similar strategies can be applied.

There are also limited-scope, somewhat fragile practical achievements of completeness that are neither mathematical nor particularly ethical.

When it comes to ethics, completeness or totality is only something for which we should strive in certain contexts. About this we should be modest and careful.

Different yet again is the arguably trivial “totality” of preconceived wholes like individuals and societies. This is in a way opposite to the mathematical case, which worked by precise definition; here, any definition is implicitly suspended in favor of an assumed reference.

Another kind of implicit whole is a judgment resulting from deliberation. At some point, response to the world dictates that we cut short our in principle indefinitely extensible deliberations, and make a practical judgment call.

Rationality

Ethical reason can potentially comprehend anything and it can influence things going forward, but it does not make everything or govern events. (See also Fragility of the Good.) Understanding comes late. Reason becomes free or autonomous only by a long, slow process. (See also Iterative Questioning.) Even so-called absolute knowledge — only “absolute” because it is free of the actually self-disruptive presumptions of the false freedom of Mastery — is just this freedom of reason.

There is after all a kind of negative freedom of reason at work here, but it is forever incomplete, and also has nothing to do with any negative freedom of a power, which is a fiction. We negatively free ourselves of unthinking assumptions while positively increasing our ability to make fine distinctions, our sensitivity to subtlety and nuance. This gives us new positive freedom in doing, with our still-finite power. (See also Ethical Reason, Interpretation.)

Assumptions

No one gets through life without making countless assumptions about things we cannot properly know. In routine cases, this is usually harmless. That does not remove our obligation to give someone a fair hearing if they initiate dialogue asking about our reasons for feeling committed to the assumption. Except in immediate emergencies, we should always be open to such questions, and on our own initiative we should raise such questions to ourselves in ambiguous situations. This means we also need to learn to be good at recognizing ambiguous situations, which involves lifelong care and active practice at doing it. (See also Epistemic Conscientiousness.)