The Formal Refutation of Determinism and The Validation of Free Will (Libertarian Volition)

fork-in-the-road

Determinism is the doctrine that all events, including human choices, are the necessary results of prior events, and that no human decision could have been different than it was.

Objectivism holds that determinism, specifically with respect to human conceptual consciousness, is self-refuting, because it makes conceptual knowledge of any kind impossible. Since this includes the premise of determinism itself, such determinism is incoherent. This self-refutation of determinism extends not only to so-called “hard determinism,” but to compatibilism, as well. In fact, it extends to any theory that does not recognize a fundamental choice made by the individual that determines conceptual beliefs.

(The only way to self-consistently hold determinism is to hold that conceptual beliefs are completely infallible, and that there is no such thing as a false belief. And then there would be no need to argue for determinism or even to assert it: everyone would agree on every issue with which they had experience.)

Thus, a libertarian theory of free will is the only type that is tenable. The rest of this post will explain how and why this is so. First, for intuitive simplicity, I will make use of a very apt analogy for human minds, beliefs, and truth. Then I will present a formal reductio ad absurdum of physical-mental determinism in both an unabbreviated and an abbreviated form. Then I will briefly describe the Objectivist theory of free will (volition) and its consistency with the Objectivist view of causality and the laws of physics.

The Coin Analogy

Imagine a table with two cards on it, one on top of the other. One card has a picture of the “heads” side of a dime, the other has a picture of the “tails” side of a dime. A person near the table can put either card on top.

Now imagine that there’s a coin-flipping robot at the table. The robot has some variability built into it, such that it doesn’t flip a coin exactly the same way each time. Now let’s say we give this robot a dime and have it flip it onto the table. If the coin lands with heads up when the heads card is on top, the coin corresponds to the card and is said to be “correct.” Similarly with tails matching tails. If the coin shows the opposite side from the top card, it is said to be “incorrect.”

Now the side which the coin shows is the inexorable result of the physical forces on the coin during flipping. It is not caused by which card is on top. In this situation, can we say that when the coin is “correct” it “knows” which card is on top? No. The matching is the result of coincidence. For us to say that the coin effectively “knows” which card is on top, the side the coin shows must be caused by the fact that that card is on top, not extraneous physical factors.

Now let’s say that we use magnets to engineer the situation such that whichever card is on top, it will inexorably cause the coin to turn with the corresponding side up. Now can we say that the coin “knows” which card is on top? No, we still cannot. The coin infallibly follows the magnets, whether or not they cause it to match its faces to the cards. What it infallibly “knows” is only the state of the magnets. Any correspondence of the coin with the cards is still a coincidence of the arrangement of the magnets with the cards.

How do we get a coin that can “know” which card is on top? The coin must be able to see the state of the cards and respond by turning itself to match. If the coin does this automatically, by a direct causal link between its rotation and the image of the cards, then its matching to the cards is infallible: It can never be wrong. How do we get a coin that can know which card is on top, yet is still fallible and potentially able to come up with “incorrect” answers?

The only way that it is possible for the coin to be both fallible and have the ability to know which card is on top, is if the coin is able to choose to go through a process that lets its “heads” position be caused by the “heads” card being visible, and its “tails” position be caused by the “tails” card being visible. In essence, the coin chooses to make its turning be caused by the visible card. When the coin chooses to go through the process, it can see that its resting position was caused by the image on the top card. Yet it is also fallible. If it wasn’t careful enough in guiding its motion in response to the card, then it can make errors.

The cards in this analogy correspond to facts in reality, and the coin corresponds to a consciousness. The side the coin shows can represent either a perceptual awareness of, or a conceptual belief about reality. The initial, random setup corresponds to the usual idea of the physical predetermination of human minds. The situation where the coin sees the cards and automatically responds, corresponds to the Objectivist view of how humans’ raw perception and the consciousnesses of other animals work. (They are infallible, in that they can do nothing other than what they do, given their situation.) The situation where the coin can choose to turn in response to the sight of the cards corresponds to the conceptual level of knowledge in humans. (This is the level that is fallible in humans.)

Formal Reductio ad Absurdum of Determinism: Unabbreviated

[Note: You may find the unabbreviated form of the argument to be difficult to follow. Most people should have an easier time following the abbreviated form below, and can skip this present section. I have included the unabbreviated form here for completeness.]

P1: If I know that the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true, then I possess some actual knowledge.

P2: If I possess some actual knowledge, then I believe in the content of my supposed knowledge because this content is true.

C1: Therefore, if I do not believe in the content of my supposed knowledge because this content is true, then I do not possess this content as knowledge.  [Contrapositive of P2.]

P3: If I know that the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true, then I believe in the content of my supposed knowledge because preexisting physical factors necessitate my decision to believe in this content.  [Application of definition of determinism.]

P4: The content of my supposed knowledge being true is not equivalent to the content of my supposed knowledge being necessitated by preexisting physical factors. [Under determinism, false beliefs can be necessitated by physical factors.]

C2: Therefore, if I believe in the content of my supposed knowledge because preexisting physical factors necessitate my decision to believe in this content, then I do not believe in the content of my supposed knowledge because this content is true.  [From P4 and identity of "belief because."]

C3: Therefore, if I know that the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true, then I do not believe in the content of my supposed knowledge because this content is true.  [From P3 and C2.]

C4: Therefore, if I know that the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true, then I do not possess the content of my supposed knowledge as actual knowledge.  [From C3 and C1.]

C5: Therefore, if I know that the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true, then I possess some content as actual knowledge and I do not possess any content as actual knowledge.  [From P1 and C4.]

Reductio ad absurdum of “knowledge of the truth” of the statement, “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge.”

C6: Therefore, the statement that “I know that preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is false.

QED

Formal Reductio ad Absurdum of Determinism: Abbreviated

P1: Determinism implies knowledge.

P2: Knowledge implies (belief because content is true.)

C1: Therefore, not (belief because content is true) implies not knowledge. [Contrapositive of P2.]

P3: Determinism implies (belief because physical factors.)

P4: Content is true is not equivalent to physical factors.

C2: Therefore, (Belief because physical factors) implies not (belief because content is true.)  [From P4 and identity of "belief because."]

C3: Therefore, determinism implies not (belief because content is true.) [From P3 and C2.]

C4: Therefore, determinism implies not knowledge. [From C3 and C1.]

C5: Therefore, determinism implies (knowledge and not knowledge.) [From P1 and C4.]

Reductio ad absurdum of determinism.

C6: Therefore, determinism is false.

QED

Where:

  • “Determinism” stands for ‘I know the statement “Preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge,” is true.’
  • “Knowledge” stands for “I possess some actual knowledge.”
  • “Belief” stands for “I believe in the content of my supposed knowledge.”
  • “Content is true” stands for “the content of my supposed knowledge is true.”
  • “Physical factors” stands for “preexisting physical factors necessitate my decision to believe in the content of my supposed knowledge.”
  • “Y because X,” for the purposes of this deduction, is a necessary condition, and may be taken to mean that for all cases of Y, actual or potential: Y only if X

It should be noted at this point that any “cause of belief” premise (except “belief because the content is true”) can be substituted for “determinism” and “physical factors,” and the argument will still be a reductio of that premise. This includes any sort of quantum or metaphysical indeterminism that would posit “fundamental randomness” as the cause of beliefs.

Also, because the premise of determinism invalidates all conceptual knowledge, if it were “true” one could not make any statements whatever as though they were “known.” One couldn’t even hold any “knowledge” of the “possibility” of anything, including one’s fundamental choices being determined by prior factors. Any claim to the “possibility” of determinism wipes itself out.

Explanation/defense of P2: If I believe that something is true, not because I have seen the fact or the results of its being true, but because I want it to be true, or because some subconscious trigger made me think it’s true, or because I made some error, then I cannot be said to know that it is true. Such beliefs are not based on reality, with respect to the truth of the statement, but on other factors, and these beliefs cannot be relied upon as actual knowledge can.

What is the Objectivist Theory of Free Will?

Objectivists typically refer to the philosophy’s concept of free will as “volition.” Volition pertains to conceptual thought in humans. At root, it is the ability, in any given moment of consciousness, to focus one’s mind and think–or not. It allows an individual to exert the effort to think or not within the context of his specific circumstances, level of knowledge and emotional state. It does not allow an individual to do or “will” just anything with his consciousness. It doesn’t allow for free-form, ex nihilo “self-creation,” as the existentialists typically hold.

Volition does allow “self-creation” within the sphere of how much one adopts the conceptual level of consciousness as one’s cognitive mode of functioning. And the level of an individual’s cognitive functioning at various points in time has tremendously important consequences for the development of his character and actions. So volition is not omnipotent with respect to consciousness, but it is causally efficacious.

Thinking can be made easier or more difficult by various mental and physical circumstances. But, so long as one is conscious and has a basically healthy brain, he is able to persevere in thinking amid difficulty, or neglect thought whenever he wishes. Nothing can strictly determine one choice or the other.

What About Cause and Effect?

The form of causality that Objectivism holds as axiomatic–that is, truly fundamental and truly universal–is the “entity-to-action” cause-effect relationship. Entities are what they are, and so can only act as those entities. The actions of entities are fundamentally caused by the entities, themselves.

Objectivism does not hold an “event-to-event” or an “action-to-entity” version of causality as most fundamental, or as necessarily universal. Inanimate objects tend to passively react to external actors, and so follow an “entity-action-entity-action” pattern of causality. (Though some of them, at least on a surface level, show spontaneous action, such as radioactive atomic nuclei.) The nature of the entity being acted upon is crucial to the action of that entity (the effect.) If a billiard ball hits a soap bubble, the reaction of the bubble will be very different from that of another billiard ball.

Human volition is perfectly consistent with the fundamental nature of causality: human beings can only act in accordance with their nature and must choose to think or not. The choice is caused by the individual, and this choice is a first cause in a subsequent chain of mental effects and physical actions. Thus, human free will is one form of causality, not a violation of causality.

What About the Laws of Physics?

When human beings use deterministic laws of physics–like Newton’s or Einstein’s–to describe and predict events in the world, this is done on the implicit premise that any event we are attempting to describe or predict has a preexisting, physical set of conditions that constitute a sufficient condition for its occurrence. By it’s very definition, a deterministic physics would not recognize a fundamental choice as a “proper” explanation of any event.

Objectivism recognizes that all rational principles (with the exception of the basic axioms) have contexts of applicability. Newton’s laws are valid and can be used productively within the context of things that move slowly relative to each other and do not require too great a precision. Einstein’s relativity can be used if the scale under consideration is not comparable to particle wavelengths. Etc.

Our gaining of any conceptual knowledge at all, including deterministic laws of physics, requires that something about the way the human mind/brain works is outside the context of any deterministic physics, (i.e. deterministic physical principles.)

Principles, such as the laws of physics, are not “out there in reality” as such, and are not themselves causally efficacious in reality. They are our way of expanding our knowledge of physical reality beyond the immediately perceived. Where applicable, they allow volitional human beings to predict future events (or event parameters) from past or current events, involving purely physical entities, (i.e. entities not possessing consciousness.) (1)

Conclusion

So now you’ve seen an ironclad proof that human beings cannot be physically predetermined, so long as they are conscious, capable of conceptual knowledge and fallible. You have the choice to think about this proof and verify it, or not. You also have the (derivative) choice to read a more detailed account of the Objectivist theory of volition, as understood by Harry Binswanger, here:

A Refutation of Determinism

Much of what Ayn Rand wrote about volition is here: Free Will at the Ayn Rand Lexicon.

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(1) It should be noted that many people attempt to reason like this: Human beings are composed of particles that do not have free will, therefore human beings do not have free will. But this is an instance of the Fallacy of Composition. It is also true that the particles that make up a human being are not conscious. Does it then follow that human beings are not conscious? Of course not.

[Edited: 9-1-13]

—–

Related Posts:

Objectivism vs. Intrinsicism vs. Subjectivism: A Short Summary

The Arbitrary (from The Objectivism Seminar)

The Nature of the Morality of Rational Egoism: Short Notes

The Bible (New Testament) as Evidence

A Refutation of the Argument from Design

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15 thoughts on “The Formal Refutation of Determinism and The Validation of Free Will (Libertarian Volition)

  1. Bravo on your proof. I would like to offer a simplification of it in layman’s terms as follows:
    If you hold that the ideas in your mind are automatically determined by prior events and that those ideas are possibly not true, then you are forced to admit you may be wrong about anything including that belief. If you hold that those ideas are automatically true then there could not possibly be any disagreement among people. Since the latter is obviously false and the former concludes you have no knowledge that is valid you cannot claim determinism to be true.

    • Having knowledge is not the same thing as knowing you have knowledge. I agree that knowledge is fallible.

      Let’s say I have a justified true belief that a bus will stop at 11:00 at the corner. I believe it because it usually does. It’s a justified belief. If it happens, then it’s also a true belief. In that case I know it.

      If it doesn’t stop at 11:00, then I’m wrong and I didn’t have knowledge. That happens sometimes.

      • ‘Let’s say I have a justified true belief that a bus will stop at 11:00 at the corner. I believe it because it usually does. It’s a justified belief. If it happens, then it’s also a true belief. In that case I know it.’

        How do you know if it happens? How do you know that what you’ve observed is a bus that has stopped at a particular corner? Is it not through observational evidence, just like the previous instances where you judged that a bus stopped at 11:00 at the corner?

        Can you really separate the status of your beliefs as truths from your ability to justify them?

    • This isn’t really a proof that determinism isn’t true though then, it’s just a proof that determinism might not be true, which I think most determinists would agree with.

      Calling this a “refutation of determinism” seems rather misleading. Perhaps I’ve misunderstood something, but from what I read it seems to just be a proof that, according to determinism, nothing can be “known” with absolute certainty.

  2. Thanks for writing this. Here is a challenge I wanted to voice:

    I think that reductio either needs reworking or replacement. And I think it has mostly to do with your epistemic presuppositions. I argue that the word “knowledge” is ambiguous when used in application. Any time I say (1) I believe A because of x/y/z, (2) therefore, I know A, there really isn’t a clear rule to explain the transition from (1)-(2). I think Rand does a decent job of coming up with a theoretical framework for how it works, but if you look at it sincerely, there are no rules in Objectivism of which you can make use to specifically explain how (2) is anything more than short-hand for, “The evidence for A is overwhelming, so I’m going to believe it.” (And I’m sure we both agree “faith” isn’t a good substitute.)

    Given a different epistemological model, no one could “believe in the content of my supposed knowledge because this content is true,” and determinism would not imply “knowledge.”

    Here is Dennett’s view—that all the aspects that we want to see in free will can exist in a deterministic world, grounded in a theory about consciousness. If you want to refute determinism, I think it would be prudent focus on Dennett’s compatibilist view specifically, because I think it by far one of the strongest:

    http://www.youtube.com/watch?v=fjbWr3ODbAo

    http://www.youtube.com/watch?v=Utai74HjPJE

    • An axiom is a statement that can not be refuted without implicitly accepting it. When you say that there is no way to know something or to know it because you know something else, you implicitly claim to know this and do so for some reason. Therefore you accept that knowledge is possible and contradict your position that it isn’t.

      This is really the simple and fatal flaw in all skeptical positions – one cannot say “knowledge is impossible and I know it”.

      • My position is not traditional philosophical skepticism. I do not claim to “know” that I can’t “know” anything, and I don’t think most skeptics do either. If one were to claim that, then yes, that individual would be inconsistent.

        My argument is not that people can’t “know” anything; it’s that the use of the word “knowledge” is ambiguous. On the contrary, I agree that our default position is that we have sense data and other things that we must accept. But even so, it doesn’t change the fact that the word “knowledge” does not have a clear enough definition to tell us when we have enough evidence to justify a belief. If you want, you can sift through my blog and look at my epistemological theories.

          • Not necessarily. I think you have to question the nature of that process. Just because we employ mental operations with the goal of separating truth from falsehood, it doesn’t mean we always do it or have the means to do it with regard to certain propositions. Saying that knowledge is “believing something because it is true” decontextualizes the process to the point of being meaningless. 1)The “because it is true” part requires believing as well. 2) We believe things with the goal coming to truth, not because they ARE true. Our justification for our thinking A is true is supported by specific evidence, i.e. information related to A; this is why we believe something.

  3. I’m having a hard time following your reductio, but let’s focus on just one of the premises for a moment:

    “P2: If I possess some actual knowledge, then I believe in the content of my supposed knowledge because this content is true.”

    I don’t think we know something because it’s true. I think we know it because we have a justified true belief.

    • Okay, so I consider the definition of knowledge as “justified true belief” to be redundant. In any given context of perceptual evidence, a belief that is properly justified is true, and a true belief is properly justified. Sometimes, a belief that must be regarded as true in one context, may be shown to be false in another (greater) context of evidence. When this happens, the previous belief is now regarded as what Ayn Rand called an “error of knowledge.”

      The requirement that knowledge be both “justified and true,” implicitly assumes that truth can be determined apart from justification. We could only really know anything either if there is a non-justifying (non-rational, revelatory) way of determining truth, or retroactively from a position of ultimate omniscience. (If what you believed turned out to be false, what you believed should never have been considered knowledge.) We will never reach omniscience, and this standard is unattainable.

      This contextualist theory does not imply subjectivism, however. Reality will be what it is and do what it will do, regardless of my context of evidence and what I believe. Nor can I properly ignore evidence that I do have, or employ a faulty method of reasoning, and have a belief that is “true for me.”

      There are many technicalities of this theory that I have been thinking about lately, but my reductio holds even with the traditional definition of knowledge. By that definition, we can say, “All knowledge is true belief,” and “All knowledge is justified belief.” Remember that:

      “Y because X,” for the purposes of this deduction, is a necessary condition, and may be taken to mean that for all cases of Y, actual or potential: Y only if X

      [Note that I edited the mistaken "if and only if" to "only if."]

      By the traditional definition of knowledge, for all cases of knowledge, actual or potential: you have knowledge only if your belief is true. Also, for all cases of knowledge, actual or potential: you have knowledge only if your belief is properly justified.

      Yet people can have beliefs that are neither true nor properly justified. If determinism were true, then they had to believe what they do, based on the physical factors that predetermined them. It would also be the case that people who believe “true” things, do so based on the physical factors that predetermined them. Whether people believe true things or false things, they are all in the same boat: they all believe whatever they were predetermined to believe. If their beliefs are false rationalizations, they are deluded into thinking they have a proper justification, when they don’t. They don’t have the knowledge they think they do. Yet they could not have helped the path that they followed, and the overall set of causes that determine their beliefs is effectively the same as the set of causes that could determine someone to believe something actually true: that is, physical factors outside their control and mostly outside their knowledge.

      Rational true beliefs, rational mistaken beliefs and irrational beliefs are on equal epistemological footing.

      Thus, if we don’t have the fundamental control to ensure that a statement we accept is true and justified, the actual truth and justification (knowledge) of any statement becomes impossible to judge. (And the concepts of “truth” and “falsehood” become meaningless/useless.) This includes the truth and justification of the premise of determinism.

  4. Homo liber nulla de re minus quam de morte cogitat; et ejus sapientia non mortis sed vitae meditatio est. SPINOZA’S Ethics, Pt IV, Prop. 67

    (There is nothing over which a free man ponders less than death; his wisdom is, to meditate not on death but on life.)

    Reductionism and its corollary, Determinism are deeply enrooted in the fabric of the modern mainstream philosophy. There are leftovers of the Cartesian mind-body dichotomy. Instead to reject this notion altogether Reductionists simply choose the other, bodily side of this loaded coin. Now they reached a blind alley in their attempts to explain life in terms of lifelessness. As Hans Jonas observed:

    “Vitalistic monism is replaced by mechanistic monism, in whose rules of evidence the standard of life is exchanged for that of death.” (The Phenomenon of Life, pg 11).

    Since Mind and Free Will are biological phenomena which cannot be explained in terms of non-life, Reductionists are necessary Determinists. Hard Determinists reject the notion of Free Will (and therefore Mind) completely; soft Determinists and Compatibalists are still trying to find explanation of Free Will in the indeterminate realm of Quantum mechanics, in stochastic rules of Chaos theory or in the mystical realm of Tao. I maintain that Free Will is a manifestation on the conceptual level of the very essential property of life itself which is biological self causation.

    “Freedom must denote an objectively discernible mode of being, i.e., a manner of executing existence, distinctive of the organic per se” (Ibid pg 3).

    Law of Causality is law of Identity applied to action (Ayn Rand). Since biological action is self-generated goal orientated response (SIGOR) to environmental challenges, such an action cannot be predetermined by any antecedent cause. On the contrary, any antecedent or proximate action could be only detrimental to the healthy living process.
    As Rosen put it:

    “it is perfectly respectable to talk about a category of final causation and to a component as the effect of its final cause…In this sense, then, a component is entailed by its function… a material system is an organism if and only if , it is closed to efficient causation.” (Life Itself, pg 135).

    In other words the process of biological causation is a process in which a final cause (a goal), becomes its efficient cause. Traditionally, the notion of the final cause associated with Aristotle’s primary mover, some divine, supernatural source. However, this is not a case of mysticism, far from it.
    Life emerged as result of self-organization of abiotic elements. How that happened we don’t know yet. However some researchers think that this is thermodynamically inevitable event.

    ” Life is universally understood to require a source of free energy and mechanisms with which to harness it. Remarkably, the converse may also be true: the continuous generation of sources of free energy by abiotic processes may have forced life into existence as a means to alleviate the buildup of free energy stresses….” (Energy flow and the organization of life. Harold Morowitz and Eric Smith, 2006).

    But does it mean that life is determined process? I don’t think so. Life is emergent phenomenon and as such it possesses new properties which its precursors don’t have. In their book “Biological Self-organization” Camazine et al. (2001: 8) define self-organization:

    ‘‘as a process in which pattern at the global level of a system emerges solely from numerous interactions among the lower level components of the system.
    The system has properties that are emergent, if they are not intrinsically found within any of the parts, and exist only at a higher level of description….’’

    From this definition follows that 1. A process of self-organization doesn’t have an antecedent cause. 2. Emergent properties of such a system are different from the properties of its components and therefore cannot be explained by means of reductionism. In other words properties of such a system are not defined by antecedent cause. Life is self-organizing, self-regulated material structure which is able to produce self-generated goal orientated action when the goal is preservation and betterment of itself. This new emergent identity which applied to biotic action defines new type of causation-self causation.

    Harry Binswanger observed “All levels of living action, from a cell’s protein-synthesis to a scientist’s investigations, are goal-directed. In vegetative action, past instances of the “final cause” act as “efficient cause.”(1992).

    This is the mechanism of self-causation. Now is clear why any action imposed on the organism and driven by antecedent cause could be only detrimental-it inevitable would interfere with self-generated action of the organism. Each and every organism is its own primary mover. In the low organisms the degree of freedom of action is limited by their genetic set up. However even low organisms like fungi for example able to overcome this genetic determinism.

    “During a critical period, variability is generated by the fact that, a system becomes conditioned by all the factors influencing the spontaneous emergence of symmetry-breaking event.
    In such a context variability does not reflect an environmental perturbation in expression of a pre-existing (genetic) program of development…It is expression of a process of individuation.” (Trewavas, 1999)

    SIGOR is limited by organism’s perceptual ability and capacity to process the sensory input. The process of evolution is a process of development of these qualities, since organism’s survival depends on them. More freedom of action means better chances of survival. The end product of such a process is Free Will and self-awareness, that is-human mind. Free Will therefore is an expression of self-causation on conceptual level.

    As Rodrigues observed: “Cerebral representations result from self-emergence of networks of interactions between modules of neurons stimulated by sensorial perception.” (Rodriguez at al., 1999)

    The human abilities to choose goals consciously and to act rationally in order to achieve them turn biology to ethics .But the origin of these abilities lie in the very fundamental property of any living being. This property is self-generated goal orientated action driven by self causation. Any attempt to reduce this property to the set of biochemical reactions or to undetermined behavior of subatomic particles is doomed to fail. Ayn Rand profoundly summarized the meaning of life in “We, The Living”. “I know what I want, and to know HOW TO WANT-isn’t it life itself?”

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