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

philosophy

Kant's transcendental idealism and its relation to contemporary quantum metaphysics.

1 Introduction

Immanuel Kant’s Critique of Pure Reason contains many sections and concepts that still produce lively contemporary debate. One of the most energetic of these is regarding Kant’s position on idealism. Idealism is commonly understood in modern philosophy to mean either that the ultimate foundation of reality is the mind, nothing exists beyond the mental, or that something does exist independently of the mind. However, our knowledge of the mind-independent reality, at best, can only be inferred and, at worst, is entirely inaccessible (Guyer and Horstmann 2022, sec. 1). Whilst Kant’s idealism is certainly related to these two formulations, we shall see how it differs, is very much its concept and how the two major interpretations of Kant’s idealism see it.
We will find it useful to define some terminology used frequently throughout this essay. It will be vital to note the Kantian meaning of these terms as it is often somewhat different to the meaning in common contemporary language. First, we shall define transcendental; this is knowledge “that concerns the a priori possibility of knowledge, or its a priori employment” (Kant, 1781&1787/2011, A56/B81). We find the rest of these key terms within the first part of the Critique of Pure Reason, within the transcendental aesthetic. We must define intuition, this is the seeing of some object (Kant, 1781&1787/2011, A19). For Kant, this is made possible by sensibility, this is the capacity for sensing things in a given modality (Kant, 1781&1787/2011, A19). Intuitions gained from our sensibility yield concepts through our understanding. Concepts are purely thought but can only exist in relation to intuition. Appearence is a thing as seen in intuition only (Kant, 1781&1787/2011, A20/B34). Naturally, we are only capable of intuitions that our sensibility is capable of. Kant determines the most underlying and a priori aspect of our sensibility, the way that our minds cannot help but order the world as it is fundamental to our cognition is space and time (Kant, 1781&1787/2011, A22). This is important to note as space and time in the Kantian view are not things that exist in themselves. The following quotation further illuminates this, “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). It will be crucial to our later discussion to clarify the function of space and time for Kant, i.e., our a priori sensibility, what Kant terms the transcendental aesthetic, that conditions our experience of reality.
Additionally, we will find it helpful to have a brief introduction to the two significant camps of interpretation of Kant’s position on idealism. We shall use the terminology of Henry Allison, the first of the two camps, Allison’s own; he terms ‘two-aspect’ (Allison 2004, 3). Briefly, as this will be expanded in later sections, the ‘two-aspect’ interpretation is taking Kant’s position to be that external things exist and are given in the appearance. They are considered in two separate non-ontological ways, as they appear and as they are in themselves (Allison 2004, 12). The second of the two interpretive camps is termed ‘two-world’ (Allison 2004, 3) in which there is an appearance of an object that is available to our sensibility termed the phenomenon. There is also an object that is ‘the thing in itself’ termed the noumenon, that we do not have direct access to in our sensibility and from which we can only infer the existence. We cannot know about the intrinsic properties of the noumenon, only the phenomenon. Now armed with the Kantian terminology and basic knowledge of the two interpretive camps, we can now attend the structure of our investigation into Kant’s position on idealism.
In the first section of this essay, we shall examine how Kant views idealism, with a specific interest in Descartes’ and Berkeley’s conceptions of idealism, termed sceptical idealism and dogmatic idealism, respectively. We shall see what problems Kant believes these two forms of idealism possess. Following this, we shall follow Kant’s argumentation for his refutation of sceptical and dogmatic idealism and how this refutation fits into the Kantian picture.
In the second section, we shall continue examining Kant’s evidence for the success of his new system, which he terms transcendental idealism. Kant does this in his fourth paralogism, and we shall take particular note of how Kant uses his new concept of transcendental idealism to critique Descartes. In this section, we shall see what Kant sees the problem of Descartes’ system to be and how this has motivated Kant’s position on idealism.
In the third section, we shall look closely at the position Kant has developed. We will look at the arguments given by both significant sides of the interpretation dispute regarding transcendental idealism. To do this, we shall see what problems transcendental idealism has solved and which new problems it raises under the two major interpretations of transcendental idealism. Although contributing to the resolution of this debate is far beyond the scope of this essay, I hope to be able to determine my position and justify my interpretation of Kant’s position on idealism concerning the major interpretations and the Critique of Pure Reason itself.
Finally, we shall examine a modern debate in science, namely how we should interpret the meaning of quantum physics. We shall look at two types of interpretation and justify why Kant himself may favour one interpretation over the other in the context of Kant’s form of idealism.

2 Kant’s refutation of idealism

In this first section, we will initially examine what Kant thinks of idealism, specifically regarding the two types of idealism that Kant identifies, namely sceptical and dogmatic idealism. We shall see what issues Kant believes both species of idealism suffer from and how he aims to refute them simultaneously with a single proof.
Kant begins his discussion on the refutation of idealism by specifying the exact theories of idealism he aims to refute. He defines problematic idealism as the theory proposed by Descartes; we shall term this in a more contemporary manner as sceptical idealism. Kant defines this as “the theory which declares the existence of objects in space outside us [...] to be merely doubtful and indemonstrable” (Kant, 1781&1787/2011, B274). Essentially we can never know for certain that the external world exists or is how we perceive it to be. Kant then distinguishes Descartes’ idealism from Berkeley’s, termed dogmatic idealism. Dogmatic idealism maintains that external objects in space is “false and impossible” (Kant, 1781&1787/2011, B274). Dogmatic idealism regards space itself as impossible; therefore, all objects which are contingent on space equally impossible. Kant argues the dogmatic position to be a consequence of believing that space is a property that belongs to things in themselves as Kant states that in this case, space is a “non-entity” (Kant, 1781&1787/2011, B274). Therefore, Kant believes that the key to undermining dogmatic realism has already been discussed within the transcendental aesthetic (Kant, 1781&1787/2011, B274). For Kant, space is not within things or a thing in itself; it is part of our a priori sensibility. It is the fundamental way in which our cognition conditions our experience. We can already see the innate tension between dogmatic idealism and Kant’s system.
Before Kant begins his refutation of sceptical and dogmatic idealism, he outlines what is required of a proof. Kant must show that we possess experience of external things. To do this, he adheres to Descartes’ primacy and infallibility of the existence of inner experience. Kant must show that inner experience depends on the existence of outer experience (Kant, 1781&1787/2011, B275). With the dependence of inner experience on outer experience, our condition for a successful refutation, Kant begins his proof.
Kant states that we are conscious of our existence, determined through our a priori sensibility of time (Kant, 1781&1787/2011, B275). He argues that there is a ‘permanent’ in perception; otherwise, determination of time is impossible. As 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). Essentially consciousness of our own experience in time requires the determination of that time, which is only possible by something external that is permanent (in some manner) so that measurement (determination) of time can be achieved. Being conscious of our existence requires the immediate consciousness of external things to oneself (Kant, 1781&1787/2011, B276). Kant has used his transcendental aesthetic, i.e., the a priori sensibility of time, a fundamental conditioner of our experience, in combination with the existence of our immediate inner experience to prove the existence of our outer experience.
We can see how Kant has used the transcendental aesthetic to refute both sceptical and dogmatic idealism. Sceptical idealism forms the weak conviction that we cannot be certain of the existence of external experience, whereas dogmatic idealism believes space does not exist and be therefore imaginary. Kant has used the a priori sensibility of time, the sensibility that dogmatic idealists do not dispute, and the shared belief of both forms of idealism in the primacy of immediate inner experience.
Kant has used his Copernican turn to show that space and time condition experience and that our a priori sensibility is essential for knowledge (Braver 2007, 36–37). By reformulating our subject-object relationship, Kant has shown the creation of a system capable of refuting classical idealism as a mere consequence of his system.
The following section will explore the fourth paralogism and Kant’s critique of Descartes. Here, we will begin to flesh out Kant’s transcendental idealism and what he believes its justifications and implications are.

3 The fourth paralogism

In the fourth paralogism, Kant critiques sceptical idealism and Descartes more thoroughly, identifying problems with this theory and using these problems to motivate the formulation of Kant’s transcendental idealism. Kant will attempt, much as he does throughout the Critique of Pure Reason to put natural science on a justifiable basis and expose the underlying assumptions that made for an incoherent metaphysics prior to Kant.
Descartes is initially praised in the fourth paralogism, for Kant believes that Descartes was correct in limiting all perception to immediate perceptions of the inner sense (Kant, 1781&1787/2011, A368). However, the inference then required by the sceptical idealist is too much for Kant, especially as we have seen in Kant’s refutation of idealism. Kant believes that the determination of the inner sense requires the existence of perceptions in the outer sense. Therefore, Descartes has identified something true, namely all perceptions genuinely being in the inner sense, but has drawn a troubling conclusion for Kant about the doubtful existence of the outer world (Kant, 1781&1787/2011, A366-A367). Knowing how Kant refutes idealism from section 2, we shall see in this section how Kant broadens his system and its implications for metaphysics and knowledge.
We shall define Kant’s system, transcendental idealism from his writing in the fourth paralogism and the differences that Kant’s idealism has in regards to Descartes’ sceptical idealism, which Kant identifies as empirical idealism (Kant, 1781&1787/2011, A369). Kant’s transcendental idealism regards the appearances of objects as the whole ‘thing’ of the object. There is no thing in itself beyond representations and that space and time themselves are only sensible forms of our intuition (Kant, 1781&1787/2011, A369). This is in opposition to transcendental realism, the doctrine that space and time and objects that exist in space and time are something in and of themselves that is independent of our sensibility (Kant, 1781&1787/2011, A369). Descartes and almost all philosophers prior to Kant are transcendental realists (Braver 2007, 33–34), Kant argues that transcendental realism is what opens the door for idealism, or as Kant wishes to note empirical idealism explicitly. A transcendental realist, believing that there are mind-independent objects that are things in themselves, judges that from the limited sensory modalities of humans, our representations are wholly inadequate to establish the reality of noumenal objects (Kant, 1781&1787/2011, A370). It is a belief in a noumenal world, inaccessible to humans, that fuels empirical idealism, and adherence to transcendental realism ends up in a place that Kant does not wish us to be in regarding the natural sciences. How can we reliably perform the natural sciences if we are removed from an underlying world of things in themselves?
This concern with the rational basis of the natural sciences is a recurring theme within the Critique of Pure reason (Kant, 1781&1787/2011, BXXII-BXIII). In the fourth paralogism, Kant repeatedly states the issue with Descartes’ form of sceptical idealism. Descartes is a transcendental realist; Kant sees this as producing a problem that we do not wish to be in concerning natural science. The sceptical idealist says that we can only rely on our inner perception. Therefore we are only inferring outer perceptions; therefore, the outer perceptions can only ever have a doubtful existence (Kant, 1781&1787/2011, A368). The uncertainty in the kind of inferences that the sceptical idealist must make part of her system is intolerable to Kant. Kant wishes to put forward his system that as discussed in section 2, refutes idealism and establishes a “possible certainty” in regards to outer objects and perceptions (Kant, 1781&1787/2011, A367).
For Kant, the solution is to be a transcendental idealist. If one does not regard there being anything beyond our representations, then Kant argues that we can be empirical realists. We can put natural science on a solid footing from empirical realism as Kant desires (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), through his refutation of idealism argument. We are using the inner experience as proof of the existence of outer experience as seen in section 2.
In the fourth paralogism, Kant is concerned with knowledge rather than reality. For Kant, the limits of human knowledge carry more weight than metaphysics. Kant’s transcendental idealism seems more about having a valid and justified basis for human knowledge than anything else. I read Kant to state this later in the fourth paralogism, “from perceptions knowledge of objects can be generated” (Kant, 1781&1787/2011, A376). In this quotation, Kant describes our real interaction with the world; we generate knowledge about outer objects through perceptions, which, as seen in Kant’s refutation, must exist for our inner sense to exist. Transcendental idealism allows us to be empirical realists. Transcendental idealism acknowledges the limits on human knowledge imposed by our a priori sensibility of space and time and how this conditions our experience. We can generate meaningful knowledge about external objects, conditioned by space and time by considering those perceptions that are connected to empirical laws as real. This is how science operates, as an empirical realist endeavour, not an empirical idealist one as transcendental realism would necessitate.
There is further evidence for this reading of transcendental idealism in the fourth paralogism. Around A373 onwards, in this section of the Critique Kant wishes to clear up some possible ambiguities in language. Kant desires to make once again clear what space and time are; they are a priori representations that are our forms of sensible intuition (Kant, 1781&1787/2011, A373). They exist only in us (Kant, 1781&1787/2011, A373), and thus Kant only wishes to say things about ‘things’ that exist because of us, i.e., through perceptions that come from and our conditioned by our sensible intuitions. He thus distinguishes between objects that one may call transcendentally external and things found in space (Kant, 1781&1787/2011, A373), i.e., within our sensible intuitions. Therefore, transcendental idealism, which may be better understood from the empirical realism aspect, is only concerned with what exists in our sensible intuitions. This provides more evidence for Kant’s desire to say more about knowledge than metaphysics. What we can know about reality is, for all intents of purposes, reality for us. To attempt to say more is the antithesis of the whole project of the Critique of Pure Reason which aims to show which areas of knowledge are inaccessible by their very nature (Kant, 1781&1787/2011, BXXV).
This reading of Kant’s transcendental idealism as an epistemic or metaepistemic system rather than a metaphysical one will return in the next section when we look at the ongoing debate around interpretations of transcendental idealism.

4 Two-aspect or two-world

In the Western tradition, Kant’s transcendental idealism does seem to be a genuinely new position, most notably as an anti-realist position (Braver 2007, 34). As we have seen in the previous sections, most philosophers of the sceptical idealist type are certainly transcendental realists. Moreover, those of the dogmatic type deny all external experience, which certainly implies, at the very least, underlying inaccessibility of reality outside of the internal sense. Transcendental idealism may seem an odd position, to not regard things in themselves at all, but only to regard outer things as to exist when in our sensible intuition. We shall now examine how Kant regards noumena more generally. Interpretations of Kant’s transcendental idealism have generally hinged on how Kant is interpreted to understand noumena and their metaphysical and epistemic position within the Kantian system.
Kant conceives a noumenon in two manners, a positive and a negative conception, the former he finds contradictory and therefore of little interest and the latter conceivable but irrelevant when the reality is regarded through a lens of empirical realism. The positive conception of the noumenon, this Kant defines as an “object of non-sensible intuition” (Kant, 1781&1787/2011, B307). Kant immediately disregards the positive conception of a noumenon as it would require a special mode of intuition, which humans patently do not possess. We cannot conceive more forms of sensible intuition (Kant, 1781&1787/2011, B307). Kant thus disregards the positive conception of the noumenon as no human possesses the ‘intellectual’ (Kant, 1781&1787/2011, B307).
The second conception of a noumenon, the negative conception, states that a noumenon is a thing that is “not an object of our sensible intuition” (Kant, 1781&1787/2011, B307). Kant views this as the only possibility for conceiving a noumenon (Kant, 1781&1787/2011, A252). Kant acknowledges that whilst it is conceivable that there exists a non-sensible form of intuition, being admissible metaphysically is not the same as having any bearing on reality. Kant believes himself to have proven and given a description of our sensible intuition and that nothing else is possible. Nevertheless, this is all coherent within transcendental idealism as we are only concerned with the empirical realism of outer things in our a priori sensibility of chiefly space in this case.
We shall now look more carefully at the contemporary debate around the interpretation of the ‘two-aspect’ and ‘two-world’ interpretations mentioned in the introduction. The ‘two-world’ interpretation is the one that essentially reads Kant to be making meaningful metaphysical between phenomena and noumena. Henry Allison aims to show this ‘two-world’ position as being produced from Kant’s subjectivist starting point (Allison 2004, 5). From this starting point, Kant must maintain that things only seem spatial or that appearances are spatial (Allison 2004, 5). Both positions are uncomfortable, the first that appearances only appear spatial seems to bring us back to sceptical idealism, and the latter position seems to force us to regard appearances (mental constructs) as extended in space (Allison 2004, 6). Allison states that the ‘two-world’ interpretation hinges on Kant wishing to maintain that we only know things as they appear to us, i.e., phenomena. To make his system compatible with empirical realism, he shifted to state that we know appearances and that they are spatial (Allison 2004, 6). Allison argues that the main point of the ‘two-world’ camp is to do with the meaning of the word ‘knowledge’ (Allison 2004, 6). Knowing about something in the ‘two-world’ camp means knowing how it is, i.e., as a noumenon. However, for Kant, we cannot know anything about the noumenal world, so we see idealism return with force. This idealism can be characterised as either sceptical or dogmatic. The sceptical formulation would say that we can not know anything with certainty about the noumenal. In contrast, the dogmatic formulation would say that noumena are outside of our a priori sensibility, of space and time, so we are certain that they are unknowable (Allison 2004, 6–7).
First, we shall see Allison’s refutation of the two-world dogmatic transcendental idealism and then the sceptical. In the dogmatic case, proponents such as Paul Guyer argue that no extra noumenal objects are required. We experience ordinary objects that must be considered only as things in themselves when our sensibility is removed, i.e., ordinary objects with space and time removed (Wood et al. 2007, 14). Thus, things in themselves are anything like our representations of them as we conform them to our cognition via space and time. Allison argues that this is an incoherent position as it means we would have to read Kant as identifying ordinary objects such as tables, chairs and books with things in themselves. Whilst simultaneously denying that they have the properties that we experience them to have. I find this incoherence problematic; the epistemic reading I have developed as I have analysed the text appears fully coherent at this time. Guyer’s reading seems an insufficiently sympathetic interpretation that would then discount any benefit to empiricism and natural science that Kant has developed.
Rae Langton presents the most useful conception of the sceptical ‘two-world’ interpretation. In her interpretation, an object’s noumenal properties are intrinsic, and we can only perceive relational properties (Langton 1998, 81). The relational properties are the phenomena, as something must affect our sensibility to generate representations within our inner sense. So we cannot know the intrinsic or noumenal properties as we cannot intuit them. Allison argues that whilst it is correct that we cannot determine the intrinsic properties an object has. The metaphysical use of noumena and phenomena is not correct within Kant’s work on the conditions for the representation of objects, which Allison terms epistemic conditions (Allison 2004, 11). Allison’s argument is similar to how I have interpreted Kant’s concepts of phenomena and noumena. This is the interpretation that things are outside of our conditions for intuition and experience but that these objects are not objects for us (Allison 2004, 12). Thus, phenomena and noumena are not considered distinct objects that would make our conditions of experience ontological (Allison 2004, 12). Instead, they have two aspects as they are two different ways of considering things, as they appear and as they are in themselves, instead of as two ontologically distinct categories (Allison 2004, 16).
I find myself in greatest agreement with the two-aspect theory in a few distinct ways. It is the most epistemological interpretation of transcendental idealism, which is most in line with how I believe Kant is trying to set up a coherent scientific knowledge system. The two-aspect theory does not suffer the sceptical problem of inference that Kant himself outlined in the fourth paralogism (Kant, 1781&1787/2011, A368), that the two-world interpretation does suffer. Finally, the incoherence of the dogmatic two-world interpretation as highlighted by Allison, leads me to view the epistemic approach most favourably.
In the next and final section, now that we are clear on the interpretation of transcendental idealism, we most favour from this analysis. We shall see how it applies to interpretations of quantum physics and which interpretation we can surmise Kant would have been most likely to endorse.

5 Kant and Quantum

Some two centuries later, Kant’s transcendental idealism may be applicable and possibly be somewhat vindicated in quantum physics. A persistent issue for quantum physics is metaphysical interpretation. Understanding what is implied for reality by the uncertain and probabilistic clouds that are the wavefunctions of quantum systems is an ongoing debate. The ‘collapsing’ of these wavefunctions into observable outcomes is a decades-old conceptual problem (Maudlin 2019, 97–98). The problem in understanding what a wavefunction means has been coupled and compounded by the observer’s role in quantum physics. In the double-slit experiment, an electron beam is passed through two slits. When neither slit is monitored, the electrons possess wave-like behaviour and form interference patterns on a screen in front of the double slit. When either slit is monitored, i.e., the behaviour of the observer is changed, the behaviour of the electrons changes. Now we see electrons behave as particles, only able to pass through one slit and not form interference patterns at all (Maudlin 2019, 15–17). As our knowledge of the wavefunction in a physical sense is rather minimal, we can only posit what are the most likely behaviours of the physical observables when we measure them; there seems to be a hint of empirical realism and transcendental idealism. Within quantum theory, the observer has now claimed a central place within physics; this seems as if it would be appealing to Kant and his system of transcendental idealism. We can be empirical realists, the result of collapsed wavefunctions are physical observables, but the knowledge that we can possess about pre-observed empirical quantities and qualities is purely statistical before a subject-object interaction.
I will argue that the interpretation of quantum physics most natural to the Kantian is Quantum Bayesianism, referred to by its popular abbreviation QBism. This interpretation’s core claim is that quantum physics’s probabilities (wavefunctions) are always subjective. Thus quantum states (the physical features of the system) themselves are subjective too (Timpson 2013, 188–89)). Quantum states are therefore not objective features of reality and are, in fact, subjective degrees of belief, which is the generally received way to interpret any Baysian programme (Timpson 2013, 189). This formulation of quantum physics dissolves the measurement problem and allows us to understand how the observer is involved in the subject-object relationship of the quantum world. QBism is an epistemic theory; much like transcendental idealism, it only commits us to what we know or believe our likelihood of knowing a particular outcome is what is natural and fundamental. The thing in itself, i.e., the wavefunction, is meaningless for us beyond a statistical likelihood of something we can know. The thing we can know is the empirical result. This seems, if not a modern scientific vindication of transcendental idealism; it is an epistemic theory of scientific knowledge that has placed the subject conditioning the experience of the object to herself as prime, quite a similarity.
This epistemic theory of quantum physics seems far more appealing to Kant than other popular theories, which are of a more metaphysical type. For example, the famous many-worlds interpretation demands that all quantum states are equally real and exist in parallel universes with separated histories (Maudlin 2019, 174–77) proposes a particular metaphysical understanding of reality. This is a metaphysical interpretation that I believe Kant would find hard to reconcile with his conception of natural science. It proposes a transcendental realist position that, as we have seen in his critique of Descartes, is always vulnerable to scepticism. Quantum physics metaphysical realist interpretations, to borrow a phrase, being a “speculative science” (Kant, 1781&1787/2011, BXIV). The many-worlds interpretation and other interpretations that are forms of transcendental realism suffer from being un-provable. They would, in my opinion, lead Kant to assert that, similar to attempting to gain knowledge of God, is a mere ‘mock combat’ (Kant, 1781&1787/2011, BXV).
Attempting metaphysical interpretations of quantum physics when the wavefunction has proven to be all the information that we can gain, seemingly in perpetuity, suggests there is no ‘more’ to be found from a metaphysical approach. To Kant, I believe this project would seem a “groping among mere concepts” (Kant, 1781&1787/2011, BXV), especially when the QBist epistemic approach is already capable of dissolving problems that transcendentally realist theories continue to struggle to make sense of (Timpson 2013, 203–4).

6 Conclusions

To conclude, we have found that Kant, combining his proof against empirical idealism and his critique of Descartes, has determined a system, transcendental idealism, for providing a solid basis for natural science. Being a transcendental idealist is a radical position which solves the issue of being forced to infer reality and the existence of outer objects by using the dependence of our inner experience on our outer experience. This allows empirical realism, which means that what we experience is true and real as anything else is beyond our knowledge and does not exist for us.
I have found my reading of Kant’s text on idealism most in line with the epistemological interpretation outlined by Henry Allison, known as the two-aspect interpretation. This denies the ontological distinction between phenomena and noumena and agrees with my reading.
Finally, we looked at the metaphysics of quantum theory and found that contemporary QBism possesses many features that I believe would make it attractive to Kant. It is an epistemic theory that dissolves several problems in ontic quantum interpretations. QBism limits what we know about quantum states and reality and notes subjectivity and the observer’s role in a quantum system. QBism performs all this whilst adhering to empirical realism in the observable outcomes of quantum physics. All these characteristics are remarkably familiar 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.