Quantum non-determinism seems incompatible with Kant’s defense of causality in his Second Analogy.

Stephen R. Palmquist however provides an interesting and appealing case against this supposition, which he states in his paper. Specifically, my question regards this passage:

Kant’s defense of the Second Analogy attempts to prove not that everything in nature must have some definite, objective cause, but that our expectation of everything having such a cause is a necessary component of our “empirical knowledge” of phenomena. 17 This nuance is of utmost importance: it distinguishes a non-perspectival from a perspectival interpretive method.18 The former would attempt to prove the principle of causality holds absolutely, with rational beings having no choice but to view every event solely in terms of causally-determined natural relations. Such a claim would make a mockery of Kant’s subsequent attempt to defend a coherent theory of human freedom (i.e., “noumenal” causality). The perspectival method, by contrast, leaves open a space, not only for the perspectival shift involved in interpreting a nature-determined event (i.e., an event interpreted via the Second Analogy) as also self-determined (i.e., free, or determined by an uncaused cause), but also for other scientific approaches to nature—approaches that may require less emphasis on the principle of causality.19 Sundaram makes this point concisely: “Cassirer, like Kant, regards causality as a category of human understanding. For things in themselves this category has no relevance. From this point, the classical or quantum mechanical causality or determinism should not be regarded as a metaphysical constraint upon all forms of being. Freedom, too, is a transcendental principle” (1987, 100-101; cf. Cassirer 1936).

The first part of my question is this: Does this imply that according to a neo-Kantian perspective the reason we humans cannot understand quantum mechanics, or as Feynman stated it, "nobody understands quantum mechanics," is because we have to view the world through the category of causality even though the world is non-causal?

The second and more important part of my question is: According to neo-Kantians will humans never be able to understand non-causal theories?

Palmquist, S. R. (2013). Kantian causality and quantum quarks: The compatibility between quantum mechanics and Kant’s phenomenal world. THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia, 28(2), 283-302.

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    I won't waste my time providing a full answer considering our exchange on the previous question you asked but in regards to your first question here, you're correct for neo-Kantians until you add "even though the world is noncausal." For your second question, you need to clarify what you mean by "comprehend", it's a rather ambiguous word choice. Moreover, it's an interpretation rather than QM itself to say it is "noncausal". Merely being unable to know both position and velocity within an h-bar doesn't necessarily say anything about causality. – virmaior Mar 5 '15 at 4:21
  • Thanks for your response. The part of the "world is noncasual" was added by stoicfury. As for the second question, the paper discusses many interpertations, including Bohm's interpertation which implies that the world is casual but nonlocal, so the second question did imply the Copenhagen interpertation. In general however, the second question is asking for whether noncasual theories (not necessarily, quantum theories) can be understood according to neoKantians. – user13847 Mar 5 '15 at 4:53
  • The second part of the question has been edited to reflect the emphasis on noncasual theories. – user13847 Mar 5 '15 at 4:55
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    Hi. First, you need to clarify what do you mean by "understanding" quantum mechanics. Second, I don't know on what basis you are trying to see one particular essay as an expression of a general Neo Kantian view. – Ram Tobolski Mar 8 '15 at 18:35
  • Why do you say that the world is non-causal? – Ben Jan 8 '16 at 4:14

In his Critique of Pure Reason (1787), Kant tried to demonstrate that the principle of causality—namely, "everything that happens, that is, begins to be, presupposes something upon which it follows by rule," (1965 ed., p. 218)— is a precondition for the very possibility of objective experience. He took the principle of causality to be required for the mind to make sense of the temporal irreversibility that there is in certain sequences of impressions.

So, whereas one can have the sequence of impressions that correspond to the sides of a house in any order we please, the sequence of impressions that correspond to a ship going downstream cannot be reversed: it exhibits a certain temporal order (or direction).

This temporal order by which certain impressions appear can be taken to constitute an objective happening only if the later event is taken to be necessarily determined by the earlier one (i.e., to follow by rule from its cause). For Kant, objective events are not "given": they are constituted by the organizing activity of the mind and in particular by the imposition of the principle of causality on the phenomena. Consequently, the principle of causality is, for Kant, a synthetic a priori principle.

Ingenious though Kant's answer to Hume was, it was ironic in three respects. Firstly, Kant safeguarded the concept of causality but at the price of making it applicable only to the phenomena and not to the unknowable things-in-themselves (noumena). Secondly, recall that Hume argued that the supposed necessity of causal sequences cannot be observed in the sequences themselves, but is projected by the mind onto the world. Kant agreed with all this, but took this projection by the mind onto the world to be presupposed for the distinction between causal and non-causal sequences. Thirdly, Kant identified causality with the rule of natural law: causal sequences of events are lawful sequences of events. This became the main plank of the Humean philosophical tradition. Stripped from objective necessity, natural laws boil down to worldly regularities.

QM is widely thought to be a strongly non-deterministic theory. The theory does not say what happens in a given case, but only says what the probabilities of various results are. So, for example, according to QM the fullest description possible of a radium atom (or a chunk of radium, for that matter), does not suffice to determine when a given atom will decay, nor how many atoms in the chunk will have decayed at any given time. The theory gives only the probabilities for a decay (or a number of decays) to happen within a given span of time. Einstein and others perhaps thought that this was a defect of the theory that should eventually be removed, by a supplemental hidden variable theory[6] that restores determinism; but subsequent work showed that no such hidden variables account could exist. At the microscopic level the world is ultimately mysterious and chancy.

So goes the story; but like much popular wisdom, it is partly mistaken and/or misleading. Ironically, quantum mechanics is one of the best prospects for a genuinely deterministic theory in modern times!

The fundamental law at the heart of non-relativistic QM is the Schrödinger equation. The evolution of a wavefunction describing a physical system under this equation is normally taken to be perfectly deterministic.[7] If one adopts an interpretation of QM according to which that's it—i.e., nothing ever interrupts Schrödinger evolution, and the wavefunctions governed by the equation tell the complete physical story—then quantum mechanics is a perfectly deterministic theory

More commonly—and this is part of the basis for the popular wisdom—physicists have resolved the quantum measurement problem by postulating that some process of “collapse of the wavefunction” occurs during measurements or observations that interrupts Schrödinger evolution. The reason is simple: the collapse process is not physically well-defined, is characterised in terms of an anthropomorphic notion (measurement)and feels too ad hoc to be a fundamental part of nature's laws.[8]

This small survey of determinism's status in some prominent physical theories, as indicated above, does not really tell us anything about whether determinism is true of our world. Instead, it raises a couple of further disturbing possibilities for the time when we do have the Final Theory before us (if such time ever comes): first, we may have difficulty establishing whether the Final Theory is deterministic or not—depending on whether the theory comes loaded with unsolved interpretational or mathematical puzzles.

Moreover, the non-causal world concept is not a regular one and one wonders what does it represent!


http://science.jrank.org/pages/8539/Causality-Kant.html http://aporia.byu.edu/pdfs/pederson-causality_and_objectivity.pdf https://plato.stanford.edu/entries/determinism-causal/

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