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Transcendental Idealism and QBism: Knowing through Appearances in Kant and Quantum Theory

philosophy·16 min read

We read Kant's transcendental idealism as primarily an epistemic project and side with Allison's two-aspect interpretation. On that reading, QBism is the interpretation of quantum physics Kant would most plausibly endorse, since it treats the wavefunction as subjective belief while keeping observable outcomes empirically real.

1 Introduction

Immanuel Kant’s Critique of Pure Reason contains many sections and concepts that still drive lively contemporary debate. One of the most active of these concerns Kant’s position on idealism. In modern philosophy, idealism is commonly understood to mean either that the ultimate foundation of reality is the mind and nothing exists beyond the mental, or that something does exist independently of the mind but that our knowledge of mind-independent reality is at best inferred and at worst entirely inaccessible (Guyer and Horstmann 2022, sec. 1). Kant’s idealism is related to these two formulations, but, as we will see, it is very much its own thing, and the two major interpretations of it disagree about what that thing is.
A few pieces of terminology recur throughout this essay, and the Kantian senses of these terms often diverge from contemporary usage. First, transcendental: knowledge “that concerns the a priori possibility of knowledge, or its a priori employment” (Kant, 1781&1787/2011, A56/B81). The remaining terms come from the transcendental aesthetic in the first part of the Critique. Intuition is the seeing of some object (Kant, 1781&1787/2011, A19), made possible by sensibility, the capacity for sensing things in a given modality (Kant, 1781&1787/2011, A19). Intuitions gained from sensibility yield concepts through the understanding; concepts are purely thought but can exist only in relation to intuition. An appearance is a thing as given in intuition (Kant, 1781&1787/2011, A20/B34), and we are limited to those intuitions our sensibility makes available. Kant identifies the most basic, a priori aspect of our sensibility, the ordering our minds cannot help but impose on the world, as space and time (Kant, 1781&1787/2011, A22). Crucially, on the Kantian view, space and time are not things that exist in themselves. As Kant puts it, “time is the formal a priori condition of all appearances whatsoever. Space, as the pure form of all outer intuition” (Kant, 1781&1787/2011, A34). The function of space and time as our a priori sensibility, what Kant terms the transcendental aesthetic, will be central to the later discussion.
It is also useful to introduce the two main interpretive camps on Kant’s idealism. We will use Henry Allison’s terminology. The first camp, Allison’s own, he calls the ‘two-aspect’ reading (Allison 2004, 3). On this view (which later sections will develop in detail), Kant holds that external things exist and are given in appearance, and that they are considered in two non-ontological ways: as they appear and as they are in themselves (Allison 2004, 12). The second camp, the ‘two-world’ reading (Allison 2004, 3), distinguishes the appearance of an object available to our sensibility (the phenomenon) from the object itself (the noumenon), to which we have no direct sensible access and whose existence we can only infer. On this reading, we can know nothing about the intrinsic properties of the noumenon, only the phenomenon. With the Kantian terminology and the two interpretive camps in hand, we can turn to the structure of the essay.
The first section examines how Kant views idealism, with a specific interest in Descartes’ and Berkeley’s conceptions of it, which Kant labels sceptical and dogmatic idealism respectively. We look at what Kant takes the problems with these two forms to be, and then follow his argument for refuting both at once and how that refutation fits into the wider Kantian picture.
The second section continues with Kant’s case for his new system, transcendental idealism, as developed in the fourth paralogism. We pay particular attention to Kant’s use of transcendental idealism to critique Descartes, and to what Kant sees as the problem in Descartes’ system that motivated his own position.
The third section looks more closely at the position Kant has developed, and at the arguments offered by both sides of the interpretive dispute over transcendental idealism. We consider what problems transcendental idealism solves and which new problems it raises under the two major readings. Settling that debate is well beyond the scope of this essay, but we aim to stake out a position and justify our interpretation against the major readings and the Critique itself.
Finally, we turn to a modern debate in science, namely how to interpret quantum physics. We compare two kinds of interpretation and argue that, in the context of his idealism, Kant would have reasons to favour one over the other.

2 Kant’s refutation of idealism

This first section examines what Kant thinks of idealism, focusing on the two species he identifies, sceptical and dogmatic idealism. We lay out the issues Kant takes each to suffer from and his strategy for refuting both at once with a single proof.
Kant begins his refutation of idealism by specifying exactly which theories he is targeting. He defines problematic idealism as the theory proposed by Descartes (which we will call sceptical idealism, in line with more contemporary usage), namely “the theory which declares the existence of objects in space outside us [...] to be merely doubtful and indemonstrable” (Kant, 1781&1787/2011, B274). On this view, we can never be certain that the external world exists, or that it is as we perceive it to be. Kant then distinguishes Descartes’ idealism from Berkeley’s, which he calls dogmatic idealism. Dogmatic idealism holds that external objects in space are “false and impossible” (Kant, 1781&1787/2011, B274); space itself is impossible, and so any objects contingent on space are equally impossible. Kant takes the dogmatic position to follow from the belief that space is a property belonging to things in themselves, in which case, he says, space is a “non-entity” (Kant, 1781&1787/2011, B274). The key to undermining dogmatic idealism has therefore already been laid down in the transcendental aesthetic (Kant, 1781&1787/2011, B274): for Kant, space is not within things or a thing in itself but part of our a priori sensibility, the fundamental way our cognition conditions our experience. The tension between dogmatic idealism and Kant’s system is already visible.
Before launching his refutation, Kant outlines what the proof must achieve. He must show that we have experience of external things. To do this, he grants Descartes the primacy and infallibility of inner experience, and then aims to show that inner experience depends on the existence of outer experience (Kant, 1781&1787/2011, B275). With this dependence as the criterion for success, Kant begins his proof.
Kant claims that we are conscious of our existence, and that this consciousness is determined through the a priori sensibility of time (Kant, 1781&1787/2011, B275). He argues that there must be something ‘permanent’ in perception; otherwise no determination of time is possible. Since Kant is determining his own conscious existence in time, the perception of the permanent is only possible through a thing outer to oneself (Kant, 1781&1787/2011, B275). Consciousness of our own experience in time requires the determination of that time, and that determination is only possible through something external that is permanent (in some manner), so that time can be measured at all. Consciousness of our own existence therefore requires immediate consciousness of external things (Kant, 1781&1787/2011, B276). Kant has used the transcendental aesthetic, the a priori sensibility of time, together with the immediate certainty of inner experience to prove the existence of outer experience.
We can now see how Kant uses the transcendental aesthetic to refute both sceptical and dogmatic idealism. Sceptical idealism holds the weaker conviction that we cannot be certain of the existence of external experience; dogmatic idealism holds the stronger one that space does not exist and is therefore imaginary. Kant attacks both by appealing to the a priori sensibility of time (which dogmatic idealists do not dispute) together with the primacy of immediate inner experience, which both forms of idealism accept.
Through his Copernican turn, Kant has shown that space and time condition experience and that our a priori sensibility is essential to knowledge (Braver 2007, 36–37). By reformulating the subject-object relationship, he produces a system in which the refutation of classical idealism falls out as a consequence.
The next section turns to the fourth paralogism and Kant’s critique of Descartes, and begins to flesh out transcendental idealism along with Kant’s account of its justification and implications.

3 The fourth paralogism

In the fourth paralogism, Kant critiques sceptical idealism, and Descartes in particular, more thoroughly, using the problems he identifies to motivate transcendental idealism. As throughout the Critique, Kant aims to put natural science on a justifiable basis and expose the underlying assumptions that, on his telling, had produced an incoherent pre-critical metaphysics.
Descartes is initially praised in the fourth paralogism: Kant agrees that Descartes was right to limit all perception to immediate perceptions of the inner sense (Kant, 1781&1787/2011, A368). The inference the sceptical idealist then makes, however, is too much for Kant, especially given the refutation of idealism just discussed. Determination of the inner sense, Kant holds, requires the existence of perceptions in the outer sense. Descartes has therefore identified something true, that all perceptions are indeed in the inner sense, but has drawn the troubling conclusion that the outer world has a merely doubtful existence (Kant, 1781&1787/2011, A366-A367). Building on the refutation of idealism in section 2, this section shows how Kant broadens his system and draws out its implications for metaphysics and knowledge.
Following the fourth paralogism, we can fix Kant’s system, transcendental idealism, in contrast with Descartes’ sceptical idealism, which Kant labels empirical idealism (Kant, 1781&1787/2011, A369). Transcendental idealism regards the appearances of objects as the whole ‘thing’ of the object. There is no thing in itself beyond representations, and space and time are only sensible forms of our intuition (Kant, 1781&1787/2011, A369). This is opposed to transcendental realism, the doctrine that space, time, and the objects that exist in space and time are something in and of themselves, independent of our sensibility (Kant, 1781&1787/2011, A369). Descartes and almost all philosophers prior to Kant are transcendental realists (Braver 2007, 33–34), and Kant argues that transcendental realism is precisely what opens the door for empirical idealism. A transcendental realist, holding that there are mind-independent objects that are things in themselves, concludes that, given the limited sensory modalities of humans, our representations are wholly inadequate to establish the reality of noumenal objects (Kant, 1781&1787/2011, A370). Belief in an inaccessible noumenal world fuels empirical idealism, and transcendental realism ends in a place that, for Kant, leaves natural science without reliable footing. How can we reliably do natural science if we are cut off from an underlying world of things in themselves?
This concern with the rational basis of the natural sciences is a recurring theme of the Critique (Kant, 1781&1787/2011, BXXII-BXIII). In the fourth paralogism, Kant returns repeatedly to the trouble with Descartes’ sceptical idealism. Descartes is a transcendental realist, and Kant sees this as putting natural science in a position we do not want to occupy. The sceptical idealist says that we can rely only on inner perception; outer perceptions are inferred and can therefore have only a doubtful existence (Kant, 1781&1787/2011, A368). The uncertainty built into the sceptical idealist’s inferences is intolerable to Kant. He instead wants to advance the system that, as shown in section 2, refutes idealism and establishes a “possible certainty” regarding outer objects and perceptions (Kant, 1781&1787/2011, A367).
For Kant, the solution is to be a transcendental idealist. If one grants that there is nothing beyond our representations, Kant argues, one can also be an empirical realist, and natural science can rest on the solid footing he wants for it (Kant, 1781&1787/2011, BXXII-BXXIII). As a transcendental idealist and empirical realist, Kant argues that we can “admit the existence of matter” (Kant, 1781&1787/2011, A370), via the refutation of idealism: inner experience serves as proof of the existence of outer experience, as shown in section 2.
In the fourth paralogism, Kant is concerned with knowledge rather than reality. The limits of human knowledge carry more weight for him than metaphysics, and transcendental idealism reads, on our view, more like a project of securing a valid and justified basis for human knowledge than anything else. We take Kant to say as much later in the fourth paralogism: “from perceptions knowledge of objects can be generated” (Kant, 1781&1787/2011, A376). Here Kant describes our actual interaction with the world; we generate knowledge of outer objects through perceptions, which, by the refutation, must exist if inner experience does. Transcendental idealism lets us be empirical realists. It acknowledges the limits on human knowledge imposed by our a priori sensibility of space and time, and how this conditions experience. We generate meaningful knowledge about external objects, conditioned by space and time, by treating as real those perceptions that are bound up with empirical laws. That is how science actually operates: as an empirical realist endeavour, not the empirical idealist one transcendental realism would force on it.
There is further support for this reading in the fourth paralogism. From around A373 onwards, Kant aims to clear up some possible ambiguities in language. He restates what space and time are: a priori representations that constitute our forms of sensible intuition (Kant, 1781&1787/2011, A373). They exist only in us (Kant, 1781&1787/2011, A373), and so Kant is only willing to say things about ‘things’ that exist for us, that is, through perceptions that come from and are conditioned by our sensible intuitions. He distinguishes objects one might call transcendentally external from things found in space (Kant, 1781&1787/2011, A373), the latter being within our sensible intuitions. Transcendental idealism, better understood through its empirical realist face, is concerned only with what exists in our sensible intuitions. This is further evidence that Kant has more to say about knowledge than about metaphysics. What we can know about reality is, for all intents and purposes, reality for us. To try to say more is the antithesis of the whole project of the Critique, which aims to show which areas of knowledge are inaccessible by their very nature (Kant, 1781&1787/2011, BXXV).
This reading of transcendental idealism as an epistemic, or metaepistemic, system rather than a metaphysical one will return in the next section, when we turn to the ongoing debate over interpretations of transcendental idealism.

4 Two-aspect or two-world

In the Western tradition, Kant’s transcendental idealism is a genuinely new position, notably the first anti-realist one (Braver 2007, 34). As we have seen, most philosophers of the sceptical idealist stripe are transcendental realists, and dogmatic idealists deny all external experience, which at the very least implies an underlying inaccessibility of any reality outside the internal sense. Transcendental idealism may seem an odd position: to refuse to regard things in themselves at all, and to regard outer things as existing only when they are within our sensible intuition. We turn now to Kant’s wider treatment of noumena, since interpretations of transcendental idealism have generally hinged on how Kant is taken to understand noumena and their metaphysical and epistemic place in his system.
Kant conceives the noumenon in two ways, a positive and a negative conception. He finds the former contradictory and therefore of little interest, while the latter is conceivable but irrelevant once reality is viewed through the lens of empirical realism. The positive conception defines a noumenon as an “object of non-sensible intuition” (Kant, 1781&1787/2011, B307). Kant immediately sets this aside, since it would require a special mode of intuition that humans plainly do not possess; we cannot conceive further forms of sensible intuition (Kant, 1781&1787/2011, B307), and no human possesses the ‘intellectual’ intuition the positive conception requires (Kant, 1781&1787/2011, B307).
The negative conception holds that a noumenon is a thing that is “not an object of our sensible intuition” (Kant, 1781&1787/2011, B307). For Kant, this is the only viable way to conceive a noumenon (Kant, 1781&1787/2011, A252). He grants that a non-sensible form of intuition is conceivable, but notes that being metaphysically admissible is not the same as having any bearing on reality. He takes himself to have proved and described our sensible intuition, and to have shown that nothing else is open to us. This is all coherent within transcendental idealism, since we are only concerned with the empirical realism of outer things within our a priori sensibility, chiefly space in this case.
We can now look more carefully at the contemporary dispute between the ‘two-aspect’ and ‘two-world’ interpretations introduced earlier. The ‘two-world’ interpretation reads Kant as drawing a substantive metaphysical distinction between phenomena and noumena. Henry Allison argues that this position grows out of Kant’s subjectivist starting point (Allison 2004, 5). From that starting point, Kant must maintain either that things only seem spatial or that appearances are spatial (Allison 2004, 5). Both options are uncomfortable: the first, that appearances only seem spatial, slides back into sceptical idealism, while the second forces us to regard appearances (mental constructs) as extended in space (Allison 2004, 6). Allison takes the ‘two-world’ interpretation to hinge on Kant’s wish to maintain that we only know things as they appear to us, i.e., as phenomena. To make this compatible with empirical realism, he shifted to saying that we know appearances and that those appearances are spatial (Allison 2004, 6). The core issue for the ‘two-world’ camp, Allison argues, is the meaning of ‘knowledge’ (Allison 2004, 6): on this reading, knowing something means knowing how it is in itself, i.e., as a noumenon. But for Kant we cannot know anything about the noumenal world, and so idealism returns with full force, in either a sceptical or a dogmatic guise. The sceptical version holds that we cannot know anything with certainty about the noumenal; the dogmatic version, that since noumena fall outside our a priori sensibility of space and time, we are certain they are unknowable (Allison 2004, 6–7).
Consider first Allison’s response to the dogmatic two-world interpretation, and then the sceptical one. In the dogmatic case, proponents such as Paul Guyer argue that no extra noumenal objects are required. We experience ordinary objects, which are to be considered as things in themselves once our sensibility is removed, i.e., ordinary objects with space and time stripped out (Wood et al. 2007, 14). Things in themselves, on this view, are nothing like our representations of them, since we conform those representations to our cognition through space and time. Allison argues this is incoherent: it requires reading Kant as identifying ordinary objects such as tables, chairs, and books with things in themselves while simultaneously denying that they have the properties we experience them to have. We find this incoherence troubling, and the epistemic reading we have developed in working through the text holds up better. Guyer’s reading is uncharitable enough that it would also discard the benefits to empiricism and natural science that Kant has built up.
Rae Langton offers the most useful version of the sceptical ‘two-world’ interpretation. On her reading, an object’s noumenal properties are intrinsic, and we can only perceive relational properties (Langton 1998, 81). The relational properties are the phenomena, since something must affect our sensibility to generate representations in the inner sense; the intrinsic, noumenal properties remain unknown because we cannot intuit them. Allison agrees that we cannot determine the intrinsic properties of an object, but argues that the metaphysical use of phenomena and noumena does not fit Kant’s actual concern with the conditions for the representation of objects, which Allison calls epistemic conditions (Allison 2004, 11). Allison’s argument lines up with our own reading of Kant’s phenomena and noumena: things can lie outside our conditions for intuition and experience without being objects for us (Allison 2004, 12). Phenomena and noumena are not distinct objects, which would make the conditions of experience ontological (Allison 2004, 12). They are two aspects, two different ways of considering the same things (as they appear and as they are in themselves), rather than two ontologically distinct categories (Allison 2004, 16).
We find ourselves most in agreement with the two-aspect view, for a few reasons. It is the most epistemological interpretation of transcendental idealism, and so the most consistent with what we take to be Kant’s aim of setting up a coherent system of scientific knowledge. It also avoids the sceptical problem of inference that Kant himself diagnoses in the fourth paralogism (Kant, 1781&1787/2011, A368), and which the two-world interpretation does inherit. Finally, the incoherence Allison finds in the dogmatic two-world reading further reinforces the epistemic approach.
With the interpretation of transcendental idealism now in place, the final section turns to interpretations of quantum physics and asks which one Kant would have been most likely to endorse.

5 Kant and Quantum

Some two centuries later, Kant’s transcendental idealism may be applicable, and perhaps even partly vindicated, in quantum physics. A persistent issue for quantum physics is metaphysical interpretation: working out what the uncertain, probabilistic clouds that are the wavefunctions of quantum systems imply for reality is an ongoing debate, and the ‘collapse’ of those wavefunctions into observable outcomes is a decades-old conceptual problem (Maudlin 2019, 97–98). The question of what a wavefunction means is bound up with, and compounded by, the role of the observer. In the double-slit experiment, an electron beam is passed through two slits. When neither slit is monitored, the electrons display wave-like behaviour and form interference patterns on a screen behind the slits. When either slit is monitored, i.e., the behaviour of the observer is changed, the behaviour of the electrons also changes: they now act as particles, pass through one slit only, and produce no interference pattern (Maudlin 2019, 15–17). Since our physical grasp of the wavefunction itself is fairly minimal, all we can do is posit which behaviours of the physical observables are most likely on measurement. There is already a hint of empirical realism and transcendental idealism here. Within quantum theory the observer has taken a central place in physics, and that should look attractive from a Kantian point of view. We can be empirical realists about the outcomes of collapsed wavefunctions, the physical observables, while the knowledge we have of pre-observation empirical quantities and qualities, before any subject-object interaction, is purely statistical.
We will argue that the interpretation of quantum physics most natural to the Kantian is Quantum Bayesianism, usually shortened to QBism. The core claim of QBism is that the probabilities of quantum physics (the wavefunctions) are always subjective, and so quantum states (the physical features of the system) are themselves subjective (Timpson 2013, 188–89). Quantum states are therefore not objective features of reality but subjective degrees of belief, in line with the standard way of interpreting any Bayesian programme (Timpson 2013, 189). This formulation dissolves the measurement problem and gives a clean account of how the observer figures in the subject-object relationship of the quantum world. QBism is an epistemic theory: like transcendental idealism, it commits us only to what we know, or to our credences about the likelihood of a given outcome, as primary. The thing in itself, the wavefunction, is meaningless for us beyond the statistical likelihood of something we can know, namely the empirical result. If this is not quite a modern scientific vindication of transcendental idealism, it is at least an epistemic theory of scientific knowledge that places the subject, conditioning her experience of the object, at the centre. The resemblance is striking.
This epistemic theory of quantum physics is far more congenial to Kant than the more metaphysical alternatives. The famous many-worlds interpretation, for instance, holds that all quantum states are equally real and exist in parallel universes with separate histories (Maudlin 2019, 174–77), a robustly metaphysical picture of reality. We think Kant would find this hard to reconcile with his conception of natural science. It occupies a transcendental realist position that, as we saw in his critique of Descartes, is always vulnerable to scepticism, making metaphysically realist interpretations of quantum physics a “speculative science” (Kant, 1781&1787/2011, BXIV). Many-worlds and other transcendental realist interpretations suffer from being unprovable, and would, in our view, lead Kant to treat them as akin to attempts at knowledge of God: a mere ‘mock combat’ (Kant, 1781&1787/2011, BXV).
Pushing metaphysical interpretations of quantum physics, when the wavefunction has proven to be all the information we can gain, and apparently always will be, suggests there is no further ‘more’ to be found by metaphysical means. To Kant, we think the project would look like a “groping among mere concepts” (Kant, 1781&1787/2011, BXV), especially when the QBist epistemic approach already dissolves problems that transcendentally realist theories continue to struggle with (Timpson 2013, 203–4).

6 Conclusions

To conclude, by combining his proof against empirical idealism with his critique of Descartes, Kant arrives at transcendental idealism, a system aimed at providing a solid basis for natural science. Being a transcendental idealist is a radical move, but it dissolves the problem of having to infer reality and the existence of outer objects by grounding inner experience in the existence of outer experience. This underwrites empirical realism: what we experience is true and real, while anything beyond it is outside our knowledge and does not exist for us.
Our reading of Kant on idealism aligns most closely with the epistemological interpretation set out by Henry Allison, the two-aspect view, which denies any ontological distinction between phenomena and noumena.
Finally, we looked at the metaphysics of quantum theory and found that contemporary QBism has several features we think would make it attractive to Kant. It is an epistemic theory that dissolves several of the problems faced by ontic quantum interpretations. QBism limits what we know about quantum states and reality, and takes subjectivity and the observer’s role in a quantum system seriously, while still holding to empirical realism about observable outcomes. All of these features are strikingly familiar from within Kant’s system.

References

Allison, Henry E. 2004. Kant’s Transcendental Idealism. New Haven, USA: Yale University Press.
Braver, Lee. 2007. A Thing of This World: A History of Continental Anti-Realism. Evanston, USA: Northwestern University Press.
Guyer, Paul, and Rolf-Peter Horstmann. 2022. Idealism. Spring 2022. Edited by Edward N. Zalta. Stanford, USA: Stanford University. https://plato.stanford.edu/archives/spr2022/entries/idealism/.
Langton, Rae. 1998. Kantian Humility: Our Ignorance of Things in Themselves. Oxford, UK: Oxford University Press.
Maudlin, Tim. 2019. Philosophy of Physics: Quantum Theory. Vol. 33. Princeton, USA: Princeton University Press.
Timpson, Christopher G. 2013. Quantum Information Theory and the Foundations of Quantum Mechanics. Oxford, UK: Oxford University Press.
Wood, Allen, Paul Guyer, and Henry E. Allison. 2007. “Debating Allison on Transcendental Idealism.” Kantian Review 12 (2): 1–39. https://doi.org/10.1017/s1369415400000893.