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Indeterminism

Indeterminism is the idea that events (or certain events, or events of certain types) are not caused, or are not caused deterministically.

It is the opposite of determinism and related to chance. It is highly relevant to the philosophical problem of free will, particularly in the form of libertarianism. In science, most specifically quantum theory in physics, indeterminism is the belief that no event is certain and the entire outcome of anything is probabilistic. Heisenberg's uncertainty principle and the "Born rule", proposed by Max Born, are often starting points in support of the indeterministic nature of the universe.[1] Indeterminism is also asserted by Sir Arthur Eddington, and Murray Gell-Mann. Indeterminism has been promoted by the French biologist Jacques Monod's essay "Chance and Necessity". The physicist-chemist Ilya Prigogine argued for indeterminism in complex systems.

Necessary but insufficient causation edit

Indeterminists do not have to deny that causes exist. Instead, they can maintain that the only causes that exist are of a type that do not constrain the future to a single course; for instance, they can maintain that only necessary and not sufficient causes exist. The necessary/sufficient distinction works as follows:

If x is a necessary cause of y; then the presence of y implies that x definitely preceded it. The presence of x, however, does not imply that y will occur.

If x is a sufficient cause of y, then the presence of y implies that x may have preceded it. (However, another cause z may alternatively cause y. Thus the presence of y does not imply the presence of x, or z, or any other suspect.)

It is possible for everything to have a necessary cause, even while indeterminism holds and the future is open, because a necessary condition does not lead to a single inevitable effect. Indeterministic (or probabilistic) causation is a proposed possibility, such that "everything has a cause" is not a clear statement of indeterminism.

Probabilistic causation edit

Interpreting causation as a deterministic relation means that if A causes B, then A must always be followed by B. In this sense, war does not cause deaths, nor does smoking cause cancer. As a result, many turn to a notion of probabilistic causation. Informally, A probabilistically causes B if A's occurrence increases the probability of B. This is sometimes interpreted to reflect the imperfect knowledge of a deterministic system but other times interpreted to mean that the causal system under study has an inherently indeterministic nature. (Propensity probability is an analogous idea, according to which probabilities have an objective existence and are not just limitations in a subject's knowledge).[2]

It can be proved that realizations of any probability distribution other than the uniform one are mathematically equal to applying a (deterministic) function (namely, an inverse distribution function) on a random variable following the latter (i.e. an "absolutely random" one[3]); the probabilities are contained in the deterministic element. A simple form of demonstrating it would be shooting randomly within a square and then (deterministically) interpreting a relatively large subsquare as the more probable outcome.

Intrinsic indeterminism versus unpredictability edit

A distinction is generally made between indeterminism and the mere inability to measure the variables (limits of precision). This is especially the case for physical indeterminism (as proposed by various interpretations of quantum mechanics). Yet some philosophers have argued that indeterminism and unpredictability are synonymous.[4]

Philosophy edit

Ancient Greek philosophy edit

Leucippus edit

The oldest mention of the concept of chance is by the earliest philosopher of atomism, Leucippus, who said:

"The cosmos, then, became like a spherical form in this way: the atoms being submitted to a casual and unpredictable movement, quickly and incessantly".[5]

Aristotle edit

Aristotle described four possible causes (material, efficient, formal, and final). Aristotle's word for these causes was αἰτίαι (aitiai, as in aetiology), which translates as causes in the sense of the multiple factors responsible for an event. Aristotle did not subscribe to the simplistic "every event has a (single) cause" idea that was to come later.

In his Physics and Metaphysics, Aristotle said there were accidents (συμβεβηκός, sumbebekos) caused by nothing but chance (τύχη, tukhe). He noted that he and the early physicists found no place for chance among their causes.

We have seen how far Aristotle distances himself from any view which makes chance a crucial factor in the general explanation of things. And he does so on conceptual grounds: chance events are, he thinks, by definition unusual and lacking certain explanatory features: as such they form the complement class to those things which can be given full natural explanations.[6]

— R.J. Hankinson, "Causes" in Blackwell Companion to Aristotle

Aristotle opposed his accidental chance to necessity:

Nor is there any definite cause for an accident, but only chance (τυχόν), namely an indefinite (ἀόριστον) cause.[7]

It is obvious that there are principles and causes which are generable and destructible apart from the actual processes of generation and destruction; for if this is not true, everything will be of necessity: that is, if there must necessarily be some cause, other than accidental, of that which is generated and destroyed. Will this be, or not? Yes, if this happens; otherwise not.[8]

Pyrrhonism edit

The philosopher Sextus Empiricus described the Pyrrhonist position on causes as follows:

...we show the existence of causes are plausible, and if those, too, are plausible which prove that it is incorrect to assert the existence of a cause, and if there is no way to give preference to any of these over others – since we have no agreed-upon sign, criterion, or proof, as has been pointed out earlier – then, if we go by the statements of the Dogmatists, it is necessary to suspend judgment about the existence of causes, too, saying that they are no more existent than non-existent[9]

Epicureanism edit

Epicurus argued that as atoms moved through the void, there were occasions when they would "swerve" (clinamen) from their otherwise determined paths, thus initiating new causal chains. Epicurus argued that these swerves would allow us to be more responsible for our actions, something impossible if every action was deterministically caused. For Epicureanism, the occasional interventions of arbitrary gods would be preferable to strict determinism.

Early modern philosophy edit

In 1729 theTestament of Jean Meslier states:

"The matter, by virtue of its own active force, moves and acts in blind manner".[10]

Soon after Julien Offroy de la Mettrie in his L'Homme Machine. (1748, anon.) wrote:

"Perhaps, the cause of man's existence is just in existence itself? Perhaps he is by chance thrown in some point of this terrestrial surface without any how and why".

In his Anti-Sénèque [Traité de la vie heureuse, par Sénèque, avec un Discours du traducteur sur le même sujet, 1750] we read:

"Then, the chance has thrown us in life".[11]

In the 19th century the French Philosopher Antoine-Augustin Cournot theorized chance in a new way, as series of not-linear causes. He wrote in Essai sur les fondements de nos connaissances (1851):

"It is not because of rarity that the chance is actual. On the contrary, it is because of chance they produce many possible others."[12]

Modern philosophy edit

Charles Peirce edit

Tychism (Greek: τύχη "chance") is a thesis proposed by the American philosopher Charles Sanders Peirce in the 1890s.[13] It holds that absolute chance, also called spontaneity, is a real factor operative in the universe. It may be considered both the direct opposite of Albert Einstein's oft quoted dictum that: "God does not play dice with the universe" and an early philosophical anticipation of Werner Heisenberg's uncertainty principle.

Peirce does not, of course, assert that there is no law in the universe. On the contrary, he maintains that an absolutely chance world would be a contradiction and thus impossible. Complete lack of order is itself a sort of order. The position he advocates is rather that there are in the universe both regularities and irregularities.

Karl Popper comments[14] that Peirce's theory received little contemporary attention, and that other philosophers did not adopt indeterminism until the rise of quantum mechanics.

Arthur Holly Compton edit

In 1931, Arthur Holly Compton championed the idea of human freedom based on quantum indeterminacy and invented the notion of amplification of microscopic quantum events to bring chance into the macroscopic world. In his somewhat bizarre mechanism, he imagined sticks of dynamite attached to his amplifier, anticipating the Schrödinger's cat paradox.[15]

Reacting to criticisms that his ideas made chance the direct cause of our actions, Compton clarified the two-stage nature of his idea in an Atlantic Monthly article in 1955. First there is a range of random possible events, then one adds a determining factor in the act of choice.

A set of known physical conditions is not adequate to specify precisely what a forthcoming event will be. These conditions, insofar as they can be known, define instead a range of possible events from among which some particular event will occur. When one exercises freedom, by his act of choice he is himself adding a factor not supplied by the physical conditions and is thus himself determining what will occur. That he does so is known only to the person himself. From the outside one can see in his act only the working of physical law. It is the inner knowledge that he is in fact doing what he intends to do that tells the actor himself that he is free.[16]

Compton welcomed the rise of indeterminism in 20th century science, writing:

In my own thinking on this vital subject I am in a much more satisfied state of mind than I could have been at any earlier stage of science. If the statements of the laws of physics were assumed correct, one would have had to suppose (as did most philosophers) that the feeling of freedom is illusory, or if [free] choice were considered effective, that the laws of physics ... [were] unreliable. The dilemma has been an uncomfortable one.[17]

Together with Arthur Eddington in Britain, Compton was one of those rare distinguished physicists in the English speaking world of the late 1920s and throughout the 1930s arguing for the “liberation of free will” with the help of Heisenberg’s indeterminacy principle, but their efforts had been met not only with physical and philosophical criticism but most primarily with fierce political and ideological campaigns.[18]

Karl Popper edit

In his essay Of Clouds and Clocks, included in his book Objective Knowledge, Popper contrasted "clouds", his metaphor for indeterministic systems, with "clocks", meaning deterministic ones. He sided with indeterminism, writing

I believe Peirce was right in holding that all clocks are clouds to some considerable degree — even the most precise of clocks. This, I think, is the most important inversion of the mistaken determinist view that all clouds are clocks[19]

Popper was also a promoter of propensity probability.

Robert Kane edit

Kane is one of the leading contemporary philosophers on free will.[20][21] Advocating what is termed within philosophical circles "libertarian freedom", Kane argues that "(1) the existence of alternative possibilities (or the agent's power to do otherwise) is a necessary condition for acting freely, and (2) determinism is not compatible with alternative possibilities (it precludes the power to do otherwise)".[22] It is important to note that the crux of Kane's position is grounded not in a defense of alternative possibilities (AP) but in the notion of what Kane refers to as ultimate responsibility (UR). Thus, AP is a necessary but insufficient criterion for free will. It is necessary that there be (metaphysically) real alternatives for our actions, but that is not enough; our actions could be random without being in our control. The control is found in "ultimate responsibility".

What allows for ultimate responsibility of creation in Kane's picture are what he refers to as "self-forming actions" or SFAs — those moments of indecision during which people experience conflicting wills. These SFAs are the undetermined, regress-stopping voluntary actions or refrainings in the life histories of agents that are required for UR. UR does not require that every act done of our own free will be undetermined and thus that, for every act or choice, we could have done otherwise; it requires only that certain of our choices and actions be undetermined (and thus that we could have done otherwise), namely SFAs. These form our character or nature; they inform our future choices, reasons and motivations in action. If a person has had the opportunity to make a character-forming decision (SFA), he is responsible for the actions that are a result of his character.

Mark Balaguer edit

Mark Balaguer, in his book Free Will as an Open Scientific Problem[23] argues similarly to Kane. He believes that, conceptually, free will requires indeterminism, and the question of whether the brain behaves indeterministically is open to further empirical research. He has also written on this matter "A Scientifically Reputable Version of Indeterministic Libertarian Free Will".[24]

Science edit

Mathematics edit

In probability theory, a stochastic process, or sometimes random process, is the counterpart to a deterministic process (or deterministic system). Instead of dealing with only one possible reality of how the process might evolve over time (as is the case, for example, for solutions of an ordinary differential equation), in a stochastic or random process there is some indeterminacy in its future evolution described by probability distributions. This means that even if the initial condition (or starting point) is known, there are many possibilities the process might go to, but some paths may be more probable and others less so.

Classical and relativistic physics edit

The idea that Newtonian physics proved causal determinism was highly influential in the early modern period. "Thus physical determinism [..] became the ruling faith among enlightened men; and everybody who did not embrace this new faith was held to be an obscurantist and a reactionary".[25] However: "Newton himself may be counted among the few dissenters, for he regarded the solar system as imperfect, and consequently as likely to perish".[26]

Classical chaos is not usually considered an example of indeterminism, as it can occur in deterministic systems such as the three-body problem.

John Earman has argued that most physical theories are indeterministic.[27][28] For instance, Newtonian physics admits solutions where particles accelerate continuously, heading out towards infinity. By the time reversibility of the laws in question, particles could also head inwards, unprompted by any pre-existing state. He calls such hypothetical particles "space invaders".

John D. Norton has suggested another indeterministic scenario, known as Norton's Dome, where a particle is initially situated on the exact apex of a dome.[29]

Branching space-time is a theory uniting indeterminism and the special theory of relativity. The idea was originated by Nuel Belnap.[30] The equations of general relativity admit of both indeterministic and deterministic solutions.

Boltzmann edit

Ludwig Boltzmann, was one of the founders of statistical mechanics and the modern atomic theory of matter. He is remembered for his discovery that the second law of thermodynamics is a statistical law stemming from disorder. He also speculated that the ordered universe we see is only a small bubble in much larger sea of chaos. The Boltzmann brain is a similar idea.

Evolution and biology edit

Darwinian evolution has an enhanced reliance on the chance element of random mutation compared to the earlier evolutionary theory of Herbert Spencer. However, the question of whether evolution requires genuine ontological indeterminism is open to debate[31]

In the essay Chance and Necessity (1970) Jacques Monod rejected the role of final causation in biology, instead arguing that a mixture of efficient causation and "pure chance" lead to teleonomy, or merely apparent purposefulness.

The Japanese theoretical population geneticist Motoo Kimura emphasises the role of indeterminism in evolution. According to neutral theory of molecular evolution: "at the molecular level most evolutionary change is caused by random drift of gene mutants that are equivalent in the face of selection.[32]

Prigogine edit

In his 1997 book, The End of Certainty, Prigogine contends that determinism is no longer a viable scientific belief. "The more we know about our universe, the more difficult it becomes to believe in determinism." This is a major departure from the approach of Newton, Einstein and Schrödinger, all of whom expressed their theories in terms of deterministic equations. According to Prigogine, determinism loses its explanatory power in the face of irreversibility and instability.[33]

Prigogine traces the dispute over determinism back to Darwin, whose attempt to explain individual variability according to evolving populations inspired Ludwig Boltzmann to explain the behavior of gases in terms of populations of particles rather than individual particles.[34] This led to the field of statistical mechanics and the realization that gases undergo irreversible processes. In deterministic physics, all processes are time-reversible, meaning that they can proceed backward as well as forward through time. As Prigogine explains, determinism is fundamentally a denial of the arrow of time. With no arrow of time, there is no longer a privileged moment known as the "present," which follows a determined "past" and precedes an undetermined "future." All of time is simply given, with the future as determined or undetermined as the past. With irreversibility, the arrow of time is reintroduced to physics. Prigogine notes numerous examples of irreversibility, including diffusion, radioactive decay, solar radiation, weather and the emergence and evolution of life. Like weather systems, organisms are unstable systems existing far from thermodynamic equilibrium. Instability resists standard deterministic explanation. Instead, due to sensitivity to initial conditions, unstable systems can only be explained statistically, that is, in terms of probability.

Prigogine asserts that Newtonian physics has now been "extended" three times, first with the use of the wave function in quantum mechanics, then with the introduction of spacetime in general relativity and finally with the recognition of indeterminism in the study of unstable systems.

Quantum mechanics edit

At one time, it was assumed in the physical sciences that if the behavior observed in a system cannot be predicted, the problem is due to lack of fine-grained information, so that a sufficiently detailed investigation would eventually result in a deterministic theory ("If you knew exactly all the forces acting on the dice, you would be able to predict which number comes up").

However, the advent of quantum mechanics removed the underpinning from that approach, with the claim that (at least according to the Copenhagen interpretation) the most basic constituents of matter at times behave indeterministically. This comes from the collapse of the wave function, in which the state of a system upon measurement cannot in general be predicted. Quantum mechanics only predicts the probabilities of possible outcomes, which are given by the Born rule. Non-deterministic behavior in wave function collapse is not only a feature of the Copenhagen interpretation, with its observer-dependence, but also of objective collapse and other theories.

Opponents of quantum indeterminism suggested that determinism could be restored by formulating a new theory in which additional information, so-called hidden variables,[35] would allow definite outcomes to be determined. For instance, in 1935, Einstein, Podolsky and Rosen wrote a paper titled "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?" arguing that such a theory was in fact necessary to preserve the principle of locality. In 1964, John S. Bell was able to define a theoretical test for these local hidden variable theories, which was reformulated as a workable experimental test through the work of Clauser, Horne, Shimony and Holt. The negative result of the 1980s tests by Alain Aspect ruled such theories out, provided certain assumptions about the experiment hold. Thus any interpretation of quantum mechanics, including deterministic reformulations, must either reject locality or reject counterfactual definiteness altogether. David Bohm's theory is the main example of a non-local deterministic quantum theory.

The many-worlds interpretation is said to be deterministic, but experimental results still cannot be predicted: experimenters do not know which 'world' they will end up in. Technically, counterfactual definiteness is lacking.

A notable consequence of quantum indeterminism is the Heisenberg uncertainty principle, which prevents the simultaneous accurate measurement of all a particle's properties.

Cosmology edit

Primordial fluctuations are density variations in the early universe which are considered the seeds of all structure in the universe. Currently, the most widely accepted explanation for their origin is in the context of cosmic inflation. According to the inflationary paradigm, the exponential growth of the scale factor during inflation caused quantum fluctuations of the inflaton field to be stretched to macroscopic scales, and, upon leaving the horizon, to "freeze in". At the later stages of radiation- and matter-domination, these fluctuations re-entered the horizon, and thus set the initial conditions for structure formation.

Neuroscience edit

Neuroscientists such as Björn Brembs and Christof Koch believe thermodynamically stochastic processes in the brain are the basis of free will, and that even very simple organisms such as flies have a form of free will.[36] Similar ideas are put forward by some philosophers such as Robert Kane.

Despite recognizing indeterminism to be a very low-level, necessary prerequisite, Björn Brembs says that it's not even close to being sufficient for addressing things like morality and responsibility.[36] Edward O. Wilson does not extrapolate from bugs to people,[37] and Corina E. Tarnita alerts against trying to draw parallels between people and insects, since human selflessness and cooperation, however, is of a different sort, also involving the interaction of culture and sentience, not just genetics and environment.[38]

Other views edit

Against Einstein and others who advocated determinism, indeterminism—as championed by the English astronomer Sir Arthur Eddington—says that a physical object has an ontologically undetermined component that is not due to the epistemological limitations of physicists' understanding. The uncertainty principle, then, would not necessarily be due to hidden variables but to an indeterminism in nature itself.[39]

Determinism and indeterminism are examined in Causality and Chance in Modern Physics by David Bohm. He speculates that, since determinism can emerge from underlying indeterminism (via the law of large numbers),[40] and that indeterminism can emerge from determinism (for instance, from classical chaos), the universe could be conceived of as having alternating layers of causality and chaos.[41]

See also edit

References edit

  1. ^ The Born rule itself does not imply whether the observed indeterminism is due to the object, to the measurement system, or both. The ensemble interpretation by Born does not require fundamental indeterminism and lack of causality.
  2. ^ Stanford Encyclopedia of Philosophy: Interpretations of Philosophy
  3. ^ The uniform distribution is the most "agnostic" distribution, representing lack of any information. Laplace in his theory of probability was apparently the first one to notice this. Currently, it can be shown using definitions of entropy.
  4. ^ Popper, K (1972). Of Clouds and Clocks: an approach to the rationality and the freedom of man, included in Objective Knowledge. Oxford Clarendon Press. p. 220. Indeterminism—or, more precisely physical indeterminism—is merely the doctrine that not all events in the physical world are predetermined with absolute precision
  5. ^ "ὁ τοίνυν κόσμος συνέστη περικεκλασμένῳ σχήματι ἐσχηματισμένος τὸν τρόπον τοῦτον. τῶν ἀτόμων σωμάτων ἀπρονόητον καὶ τυχαίαν ἐχόντων τὴν κίνησιν συνεχῶς τε καὶ τάχιστα κινουμένων" H.Diels-W.Kranz Die Fragmente der Vorsokratiker, Berlin Weidmann 1952, 24, I, 1
  6. ^ Hankinson, R.J. (2009). "Causes". Blackwell Companion to Aristotle. p. 223.
  7. ^ Aristotle, Metaphysics, Book V, 1025a25
  8. ^ Aristotle, Metaphysics, Book VI, 1027a29-33
  9. ^ Sextus Empiricus Outlines of Pyrrhonism Book III Chapter 5
  10. ^ Meslier, J. The Testament.
  11. ^ Jde La Mettrie, J.O.:Anti-Sénèque
  12. ^ Cournot, A.A: Essai sur les fondements de nos connaissances et sur les caractères de la critique philosophique, § 32.
  13. ^ Peirce, C. S.: The Doctrine of Necessity Examined, The Monist, 1892
  14. ^ Popper, K: Of Clouds and Cuckoos, included in Objective Knowledge, revised, 1978, p231.
  15. ^ SCIENCE, 74, p. 1911, August 14, 1931.
  16. ^ "Science and Man’s Freedom", in The Cosmos of Arthur Holly Compton, 1967, Knopf, p. 115
  17. ^ Commpton, A.H. The Human Meaning of Science p. ix
  18. ^ Kožnjak, Boris (2018), "The Earliest Missionaries of 'Quantum Free Will': A Socio-Historical Analysis", Free Will & Action, Historical-Analytical Studies on Nature, Mind and Action, Springer International Publishing, vol. 6, pp. 131–154, doi:10.1007/978-3-319-99295-2_10, ISBN 9783319992945
  19. ^ Popper, K: Of Clouds and Cuckoos, included in Objective Knowledge, revised, 1978, p215.
  20. ^ Kane, R. (ed.) Oxford Handbook of Free Will
  21. ^ Information Philosophers "Robert Kane is the acknowledged dean of the libertarian philosophers writing actively on the free will problem."
  22. ^ Kane (ed.): Oxford Handbook of Free Will, p. 11.
  23. ^ . Archived from the original on 2010-05-27. Retrieved 2011-07-26.
  24. ^ "Mark Balaguer: A Scientifically Reputable Version of Indeterministic Libertarian Free Will". turingc.blogspot.pt. 2012-07-06.
  25. ^ Popper, K: Of Clouds and Cuckoos, included in Objective Knowledge, revised, 1978, p212.
  26. ^ Popper, 1978, citing, Henry Pemberton's A View of Sir Isaac Newton's Philosophy
  27. ^ Earman, J. Determinism: What We Have Learned, and What We Still Don't Know
  28. ^ The Stanford Encyclopedia of Philosophy: Causal Determinism
  29. ^ Stanford Encyclopedia of Philosophy Causal Determinism
  30. ^ . Archived from the original on 2011-09-30. Retrieved 2011-07-27.
  31. ^ (PDF). Archived from the original (PDF) on 2011-09-30. Retrieved 2011-07-28.
  32. ^ Kimura, M. The neutral theory of molecular evolution, (The Science, No. 1, 1980, p. 34)
  33. ^ End of Certainty by Ilya Prigogine pp. 162–85 Free Press; 1 edition (August 17, 1997) ISBN 978-0-684-83705-5 [1]
  34. ^ End of Certainty by Ilya Prigogine pp. 19–21 Free Press; 1 edition (August 17, 1997) ISBN 978-0-684-83705-5 [2]
  35. ^ Cosmos Magazine: How Much Free Will Do We Have[permanent dead link]
  36. ^ a b BBC Science: Free Will Similar in Animals, Humans—But Not So Free
  37. ^ "Is Homosexuality an Evolutionary Step Towards the Superorganism?". Wired. 2008-01-03.
  38. ^ "E.O. Wilson Proposes New Theory of Social Evolution". Wired. 2010-08-26.
  39. ^ de Koninck, Charles (2008). "The philosophy of Sir Arthur Eddington and The problem of indeterminism". The writings of Charles de Koninck. Notre Dame, Ind.: University of Notre Dame Press. ISBN 978-0-268-02595-3. OCLC 615199716.
  40. ^ In this regard, by recognizing chance (contingency) in the reality, the rationality of the empirical law of large numbers can be shown. See: D’AMICO Rosario. Chance and The Statistical Law of Large Numbers. Journal of Mathematical Economics and Finance, [S.l.], v. 7, n. 2, p. 41-53, dec. 2021. ISSN 2458-0813. Available at: https://journals.aserspublishing.eu/jmef/article/view/6879
  41. ^ Bohm, D: Causality and Chance in Modern Physics, pp. 29–33

Bibliography edit

  • Lejeunne, Denis. 2012. The Radical Use of Chance in 20th Century Art, Rodopi. Amsterdam
  • James, William. The Dilemma of Determinism. Kessinger Publications, 2012.
  • Narain, Vir, et al. “Determinism, Free Will, and Moral Responsibility.” TheHumanist.com, 21 Oct. 2014, thehumanist.com/magazine/november-december-2014/philosophically-speaking/determinism-free-will-and-moral-responsibility.

Russell, Bertrand. “Elements of Ethics.” Philosophical essays, 1910.

External links edit

  • Incompatibilist (Nondeterministic) Theories of Free Will from the Stanford Encyclopedia of Philosophy
  • indeterminism from the Philosophy Professor
  • Causal Determinism at the Stanford Encyclopedia of Philosophy
  • Norton, J.D. Causation as Folk Science

indeterminism, similar, subject, indeterminacy, philosophy, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, ne. For a similar subject see Indeterminacy philosophy This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Indeterminism news newspapers books scholar JSTOR June 2011 Learn how and when to remove this template message Indeterminism is the idea that events or certain events or events of certain types are not caused or are not caused deterministically It is the opposite of determinism and related to chance It is highly relevant to the philosophical problem of free will particularly in the form of libertarianism In science most specifically quantum theory in physics indeterminism is the belief that no event is certain and the entire outcome of anything is probabilistic Heisenberg s uncertainty principle and the Born rule proposed by Max Born are often starting points in support of the indeterministic nature of the universe 1 Indeterminism is also asserted by Sir Arthur Eddington and Murray Gell Mann Indeterminism has been promoted by the French biologist Jacques Monod s essay Chance and Necessity The physicist chemist Ilya Prigogine argued for indeterminism in complex systems Contents 1 Necessary but insufficient causation 2 Probabilistic causation 3 Intrinsic indeterminism versus unpredictability 4 Philosophy 4 1 Ancient Greek philosophy 4 1 1 Leucippus 4 1 2 Aristotle 4 1 3 Pyrrhonism 4 1 4 Epicureanism 4 2 Early modern philosophy 4 3 Modern philosophy 4 3 1 Charles Peirce 4 3 2 Arthur Holly Compton 4 3 3 Karl Popper 4 3 4 Robert Kane 4 3 5 Mark Balaguer 5 Science 5 1 Mathematics 5 2 Classical and relativistic physics 5 3 Boltzmann 5 4 Evolution and biology 5 5 Prigogine 5 6 Quantum mechanics 5 7 Cosmology 5 8 Neuroscience 5 9 Other views 6 See also 7 References 8 Bibliography 9 External linksNecessary but insufficient causation editFurther information Necessary and sufficient conditions Indeterminists do not have to deny that causes exist Instead they can maintain that the only causes that exist are of a type that do not constrain the future to a single course for instance they can maintain that only necessary and not sufficient causes exist The necessary sufficient distinction works as follows If x is a necessary cause of y then the presence of y implies that x definitely preceded it The presence of x however does not imply that y will occur If x is a sufficient cause of y then the presence of y implies that x may have preceded it However another cause z may alternatively cause y Thus the presence of y does not imply the presence of x or z or any other suspect It is possible for everything to have a necessary cause even while indeterminism holds and the future is open because a necessary condition does not lead to a single inevitable effect Indeterministic or probabilistic causation is a proposed possibility such that everything has a cause is not a clear statement of indeterminism Probabilistic causation editMain article Probabilistic causation Interpreting causation as a deterministic relation means that if A causes B then A must always be followed by B In this sense war does not cause deaths nor does smoking cause cancer As a result many turn to a notion of probabilistic causation Informally A probabilistically causes B if A s occurrence increases the probability of B This is sometimes interpreted to reflect the imperfect knowledge of a deterministic system but other times interpreted to mean that the causal system under study has an inherently indeterministic nature Propensity probability is an analogous idea according to which probabilities have an objective existence and are not just limitations in a subject s knowledge 2 It can be proved that realizations of any probability distribution other than the uniform one are mathematically equal to applying a deterministic function namely an inverse distribution function on a random variable following the latter i e an absolutely random one 3 the probabilities are contained in the deterministic element A simple form of demonstrating it would be shooting randomly within a square and then deterministically interpreting a relatively large subsquare as the more probable outcome Intrinsic indeterminism versus unpredictability editA distinction is generally made between indeterminism and the mere inability to measure the variables limits of precision This is especially the case for physical indeterminism as proposed by various interpretations of quantum mechanics Yet some philosophers have argued that indeterminism and unpredictability are synonymous 4 Philosophy editAncient Greek philosophy edit Leucippus edit The oldest mention of the concept of chance is by the earliest philosopher of atomism Leucippus who said The cosmos then became like a spherical form in this way the atoms being submitted to a casual and unpredictable movement quickly and incessantly 5 Aristotle edit Main article Four causes Aristotle described four possible causes material efficient formal and final Aristotle s word for these causes was aἰtiai aitiai as in aetiology which translates as causes in the sense of the multiple factors responsible for an event Aristotle did not subscribe to the simplistic every event has a single cause idea that was to come later In his Physics and Metaphysics Aristotle said there were accidents symbebhkos sumbebekos caused by nothing but chance tyxh tukhe He noted that he and the early physicists found no place for chance among their causes We have seen how far Aristotle distances himself from any view which makes chance a crucial factor in the general explanation of things And he does so on conceptual grounds chance events are he thinks by definition unusual and lacking certain explanatory features as such they form the complement class to those things which can be given full natural explanations 6 R J Hankinson Causes in Blackwell Companion to Aristotle Aristotle opposed his accidental chance to necessity Nor is there any definite cause for an accident but only chance tyxon namely an indefinite ἀoriston cause 7 It is obvious that there are principles and causes which are generable and destructible apart from the actual processes of generation and destruction for if this is not true everything will be of necessity that is if there must necessarily be some cause other than accidental of that which is generated and destroyed Will this be or not Yes if this happens otherwise not 8 Pyrrhonism edit The philosopher Sextus Empiricus described the Pyrrhonist position on causes as follows we show the existence of causes are plausible and if those too are plausible which prove that it is incorrect to assert the existence of a cause and if there is no way to give preference to any of these over others since we have no agreed upon sign criterion or proof as has been pointed out earlier then if we go by the statements of the Dogmatists it is necessary to suspend judgment about the existence of causes too saying that they are no more existent than non existent 9 Epicureanism edit Epicurus argued that as atoms moved through the void there were occasions when they would swerve clinamen from their otherwise determined paths thus initiating new causal chains Epicurus argued that these swerves would allow us to be more responsible for our actions something impossible if every action was deterministically caused For Epicureanism the occasional interventions of arbitrary gods would be preferable to strict determinism Early modern philosophy edit In 1729 theTestament of Jean Meslier states The matter by virtue of its own active force moves and acts in blind manner 10 Soon after Julien Offroy de la Mettrie in his L Homme Machine 1748 anon wrote Perhaps the cause of man s existence is just in existence itself Perhaps he is by chance thrown in some point of this terrestrial surface without any how and why In his Anti Seneque Traite de la vie heureuse par Seneque avec un Discours du traducteur sur le meme sujet 1750 we read Then the chance has thrown us in life 11 In the 19th century the French Philosopher Antoine Augustin Cournot theorized chance in a new way as series of not linear causes He wrote in Essai sur les fondements de nos connaissances 1851 It is not because of rarity that the chance is actual On the contrary it is because of chance they produce many possible others 12 Modern philosophy edit Charles Peirce edit Tychism Greek tyxh chance is a thesis proposed by the American philosopher Charles Sanders Peirce in the 1890s 13 It holds that absolute chance also called spontaneity is a real factor operative in the universe It may be considered both the direct opposite of Albert Einstein s oft quoted dictum that God does not play dice with the universe and an early philosophical anticipation of Werner Heisenberg s uncertainty principle Peirce does not of course assert that there is no law in the universe On the contrary he maintains that an absolutely chance world would be a contradiction and thus impossible Complete lack of order is itself a sort of order The position he advocates is rather that there are in the universe both regularities and irregularities Karl Popper comments 14 that Peirce s theory received little contemporary attention and that other philosophers did not adopt indeterminism until the rise of quantum mechanics Arthur Holly Compton edit In 1931 Arthur Holly Compton championed the idea of human freedom based on quantum indeterminacy and invented the notion of amplification of microscopic quantum events to bring chance into the macroscopic world In his somewhat bizarre mechanism he imagined sticks of dynamite attached to his amplifier anticipating the Schrodinger s cat paradox 15 Reacting to criticisms that his ideas made chance the direct cause of our actions Compton clarified the two stage nature of his idea in an Atlantic Monthly article in 1955 First there is a range of random possible events then one adds a determining factor in the act of choice A set of known physical conditions is not adequate to specify precisely what a forthcoming event will be These conditions insofar as they can be known define instead a range of possible events from among which some particular event will occur When one exercises freedom by his act of choice he is himself adding a factor not supplied by the physical conditions and is thus himself determining what will occur That he does so is known only to the person himself From the outside one can see in his act only the working of physical law It is the inner knowledge that he is in fact doing what he intends to do that tells the actor himself that he is free 16 Compton welcomed the rise of indeterminism in 20th century science writing In my own thinking on this vital subject I am in a much more satisfied state of mind than I could have been at any earlier stage of science If the statements of the laws of physics were assumed correct one would have had to suppose as did most philosophers that the feeling of freedom is illusory or if free choice were considered effective that the laws of physics were unreliable The dilemma has been an uncomfortable one 17 Together with Arthur Eddington in Britain Compton was one of those rare distinguished physicists in the English speaking world of the late 1920s and throughout the 1930s arguing for the liberation of free will with the help of Heisenberg s indeterminacy principle but their efforts had been met not only with physical and philosophical criticism but most primarily with fierce political and ideological campaigns 18 Karl Popper edit In his essay Of Clouds and Clocks included in his book Objective Knowledge Popper contrasted clouds his metaphor for indeterministic systems with clocks meaning deterministic ones He sided with indeterminism writing I believe Peirce was right in holding that all clocks are clouds to some considerable degree even the most precise of clocks This I think is the most important inversion of the mistaken determinist view that all clouds are clocks 19 Popper was also a promoter of propensity probability Robert Kane edit Kane is one of the leading contemporary philosophers on free will 20 21 Advocating what is termed within philosophical circles libertarian freedom Kane argues that 1 the existence of alternative possibilities or the agent s power to do otherwise is a necessary condition for acting freely and 2 determinism is not compatible with alternative possibilities it precludes the power to do otherwise 22 It is important to note that the crux of Kane s position is grounded not in a defense of alternative possibilities AP but in the notion of what Kane refers to as ultimate responsibility UR Thus AP is a necessary but insufficient criterion for free will It is necessary that there be metaphysically real alternatives for our actions but that is not enough our actions could be random without being in our control The control is found in ultimate responsibility What allows for ultimate responsibility of creation in Kane s picture are what he refers to as self forming actions or SFAs those moments of indecision during which people experience conflicting wills These SFAs are the undetermined regress stopping voluntary actions or refrainings in the life histories of agents that are required for UR UR does not require that every act done of our own free will be undetermined and thus that for every act or choice we could have done otherwise it requires only that certain of our choices and actions be undetermined and thus that we could have done otherwise namely SFAs These form our character or nature they inform our future choices reasons and motivations in action If a person has had the opportunity to make a character forming decision SFA he is responsible for the actions that are a result of his character Mark Balaguer edit Mark Balaguer in his book Free Will as an Open Scientific Problem 23 argues similarly to Kane He believes that conceptually free will requires indeterminism and the question of whether the brain behaves indeterministically is open to further empirical research He has also written on this matter A Scientifically Reputable Version of Indeterministic Libertarian Free Will 24 Science editSee also Philosophy of physics and indeterminism Mathematics edit In probability theory a stochastic process or sometimes random process is the counterpart to a deterministic process or deterministic system Instead of dealing with only one possible reality of how the process might evolve over time as is the case for example for solutions of an ordinary differential equation in a stochastic or random process there is some indeterminacy in its future evolution described by probability distributions This means that even if the initial condition or starting point is known there are many possibilities the process might go to but some paths may be more probable and others less so Classical and relativistic physics edit The idea that Newtonian physics proved causal determinism was highly influential in the early modern period Thus physical determinism became the ruling faith among enlightened men and everybody who did not embrace this new faith was held to be an obscurantist and a reactionary 25 However Newton himself may be counted among the few dissenters for he regarded the solar system as imperfect and consequently as likely to perish 26 Classical chaos is not usually considered an example of indeterminism as it can occur in deterministic systems such as the three body problem John Earman has argued that most physical theories are indeterministic 27 28 For instance Newtonian physics admits solutions where particles accelerate continuously heading out towards infinity By the time reversibility of the laws in question particles could also head inwards unprompted by any pre existing state He calls such hypothetical particles space invaders John D Norton has suggested another indeterministic scenario known as Norton s Dome where a particle is initially situated on the exact apex of a dome 29 Branching space time is a theory uniting indeterminism and the special theory of relativity The idea was originated by Nuel Belnap 30 The equations of general relativity admit of both indeterministic and deterministic solutions Boltzmann edit Ludwig Boltzmann was one of the founders of statistical mechanics and the modern atomic theory of matter He is remembered for his discovery that the second law of thermodynamics is a statistical law stemming from disorder He also speculated that the ordered universe we see is only a small bubble in much larger sea of chaos The Boltzmann brain is a similar idea Evolution and biology edit Darwinian evolution has an enhanced reliance on the chance element of random mutation compared to the earlier evolutionary theory of Herbert Spencer However the question of whether evolution requires genuine ontological indeterminism is open to debate 31 In the essay Chance and Necessity 1970 Jacques Monod rejected the role of final causation in biology instead arguing that a mixture of efficient causation and pure chance lead to teleonomy or merely apparent purposefulness The Japanese theoretical population geneticist Motoo Kimura emphasises the role of indeterminism in evolution According to neutral theory of molecular evolution at the molecular level most evolutionary change is caused by random drift of gene mutants that are equivalent in the face of selection 32 Prigogine edit In his 1997 book The End of Certainty Prigogine contends that determinism is no longer a viable scientific belief The more we know about our universe the more difficult it becomes to believe in determinism This is a major departure from the approach of Newton Einstein and Schrodinger all of whom expressed their theories in terms of deterministic equations According to Prigogine determinism loses its explanatory power in the face of irreversibility and instability 33 Prigogine traces the dispute over determinism back to Darwin whose attempt to explain individual variability according to evolving populations inspired Ludwig Boltzmann to explain the behavior of gases in terms of populations of particles rather than individual particles 34 This led to the field of statistical mechanics and the realization that gases undergo irreversible processes In deterministic physics all processes are time reversible meaning that they can proceed backward as well as forward through time As Prigogine explains determinism is fundamentally a denial of the arrow of time With no arrow of time there is no longer a privileged moment known as the present which follows a determined past and precedes an undetermined future All of time is simply given with the future as determined or undetermined as the past With irreversibility the arrow of time is reintroduced to physics Prigogine notes numerous examples of irreversibility including diffusion radioactive decay solar radiation weather and the emergence and evolution of life Like weather systems organisms are unstable systems existing far from thermodynamic equilibrium Instability resists standard deterministic explanation Instead due to sensitivity to initial conditions unstable systems can only be explained statistically that is in terms of probability Prigogine asserts that Newtonian physics has now been extended three times first with the use of the wave function in quantum mechanics then with the introduction of spacetime in general relativity and finally with the recognition of indeterminism in the study of unstable systems Quantum mechanics edit Main article Quantum indeterminacy At one time it was assumed in the physical sciences that if the behavior observed in a system cannot be predicted the problem is due to lack of fine grained information so that a sufficiently detailed investigation would eventually result in a deterministic theory If you knew exactly all the forces acting on the dice you would be able to predict which number comes up However the advent of quantum mechanics removed the underpinning from that approach with the claim that at least according to the Copenhagen interpretation the most basic constituents of matter at times behave indeterministically This comes from the collapse of the wave function in which the state of a system upon measurement cannot in general be predicted Quantum mechanics only predicts the probabilities of possible outcomes which are given by the Born rule Non deterministic behavior in wave function collapse is not only a feature of the Copenhagen interpretation with its observer dependence but also of objective collapse and other theories Opponents of quantum indeterminism suggested that determinism could be restored by formulating a new theory in which additional information so called hidden variables 35 would allow definite outcomes to be determined For instance in 1935 Einstein Podolsky and Rosen wrote a paper titled Can Quantum Mechanical Description of Physical Reality Be Considered Complete arguing that such a theory was in fact necessary to preserve the principle of locality In 1964 John S Bell was able to define a theoretical test for these local hidden variable theories which was reformulated as a workable experimental test through the work of Clauser Horne Shimony and Holt The negative result of the 1980s tests by Alain Aspect ruled such theories out provided certain assumptions about the experiment hold Thus any interpretation of quantum mechanics including deterministic reformulations must either reject locality or reject counterfactual definiteness altogether David Bohm s theory is the main example of a non local deterministic quantum theory The many worlds interpretation is said to be deterministic but experimental results still cannot be predicted experimenters do not know which world they will end up in Technically counterfactual definiteness is lacking A notable consequence of quantum indeterminism is the Heisenberg uncertainty principle which prevents the simultaneous accurate measurement of all a particle s properties Cosmology edit Primordial fluctuations are density variations in the early universe which are considered the seeds of all structure in the universe Currently the most widely accepted explanation for their origin is in the context of cosmic inflation According to the inflationary paradigm the exponential growth of the scale factor during inflation caused quantum fluctuations of the inflaton field to be stretched to macroscopic scales and upon leaving the horizon to freeze in At the later stages of radiation and matter domination these fluctuations re entered the horizon and thus set the initial conditions for structure formation Neuroscience edit Neuroscientists such as Bjorn Brembs and Christof Koch believe thermodynamically stochastic processes in the brain are the basis of free will and that even very simple organisms such as flies have a form of free will 36 Similar ideas are put forward by some philosophers such as Robert Kane Despite recognizing indeterminism to be a very low level necessary prerequisite Bjorn Brembs says that it s not even close to being sufficient for addressing things like morality and responsibility 36 Edward O Wilson does not extrapolate from bugs to people 37 and Corina E Tarnita alerts against trying to draw parallels between people and insects since human selflessness and cooperation however is of a different sort also involving the interaction of culture and sentience not just genetics and environment 38 Other views edit Against Einstein and others who advocated determinism indeterminism as championed by the English astronomer Sir Arthur Eddington says that a physical object has an ontologically undetermined component that is not due to the epistemological limitations of physicists understanding The uncertainty principle then would not necessarily be due to hidden variables but to an indeterminism in nature itself 39 Determinism and indeterminism are examined in Causality and Chance in Modern Physics by David Bohm He speculates that since determinism can emerge from underlying indeterminism via the law of large numbers 40 and that indeterminism can emerge from determinism for instance from classical chaos the universe could be conceived of as having alternating layers of causality and chaos 41 See also editCatastrophism Chance disambiguation Interpretations of quantum mechanics Comparisons chart Free will Incompatibilism Luck Nondeterminism disambiguation Randomness UncertaintyReferences edit The Born rule itself does not imply whether the observed indeterminism is due to the object to the measurement system or both The ensemble interpretation by Born does not require fundamental indeterminism and lack of causality Stanford Encyclopedia of Philosophy Interpretations of Philosophy The uniform distribution is the most agnostic distribution representing lack of any information Laplace in his theory of probability was apparently the first one to notice this Currently it can be shown using definitions of entropy Popper K 1972 Of Clouds and Clocks an approach to the rationality and the freedom of man included in Objective Knowledge Oxford Clarendon Press p 220 Indeterminism or more precisely physical indeterminism is merely the doctrine that not all events in the physical world are predetermined with absolute precision ὁ toinyn kosmos synesth perikeklasmenῳ sxhmati ἐsxhmatismenos tὸn tropon toῦton tῶn ἀtomwn swmatwn ἀpronohton kaὶ tyxaian ἐxontwn tὴn kinhsin synexῶs te kaὶ taxista kinoymenwn H Diels W Kranz Die Fragmente der Vorsokratiker Berlin Weidmann 1952 24 I 1 Hankinson R J 2009 Causes Blackwell Companion to Aristotle p 223 Aristotle Metaphysics Book V 1025a25 Aristotle Metaphysics Book VI 1027a29 33 Sextus Empiricus Outlines of Pyrrhonism Book III Chapter 5 Meslier J The Testament Jde La Mettrie J O Anti Seneque Cournot A A Essai sur les fondements de nos connaissances et sur les caracteres de la critique philosophique 32 Peirce C S The Doctrine of Necessity Examined The Monist 1892 Popper K Of Clouds and Cuckoos included in Objective Knowledge revised 1978 p231 SCIENCE 74 p 1911 August 14 1931 Science and Man s Freedom in The Cosmos of Arthur Holly Compton 1967 Knopf p 115 Commpton A H The Human Meaning of Science p ix Koznjak Boris 2018 The Earliest Missionaries of Quantum Free Will A Socio Historical Analysis Free Will amp Action Historical Analytical Studies on Nature Mind and Action Springer International Publishing vol 6 pp 131 154 doi 10 1007 978 3 319 99295 2 10 ISBN 9783319992945 Popper K Of Clouds and Cuckoos included in Objective Knowledge revised 1978 p215 Kane R ed Oxford Handbook of Free Will Information Philosophers Robert Kane is the acknowledged dean of the libertarian philosophers writing actively on the free will problem Kane ed Oxford Handbook of Free Will p 11 Notre Dame Reviews Free Will as an Open Scientific Problem Archived from the original on 2010 05 27 Retrieved 2011 07 26 Mark Balaguer A Scientifically Reputable Version of Indeterministic Libertarian Free Will turingc blogspot pt 2012 07 06 Popper K Of Clouds and Cuckoos included in Objective Knowledge revised 1978 p212 Popper 1978 citing Henry Pemberton s A View of Sir Isaac Newton s Philosophy Earman J Determinism What We Have Learned and What We Still Don t Know The Stanford Encyclopedia of Philosophy Causal Determinism Stanford Encyclopedia of Philosophy Causal Determinism Conference on Branching Space Time Archived from the original on 2011 09 30 Retrieved 2011 07 27 Millstein R L Is the Evolutionary Process Deterministic or Indeterministic PDF Archived from the original PDF on 2011 09 30 Retrieved 2011 07 28 Kimura M The neutral theory of molecular evolution The Science No 1 1980 p 34 End of Certainty by Ilya Prigogine pp 162 85 Free Press 1 edition August 17 1997 ISBN 978 0 684 83705 5 1 End of Certainty by Ilya Prigogine pp 19 21 Free Press 1 edition August 17 1997 ISBN 978 0 684 83705 5 2 Cosmos Magazine How Much Free Will Do We Have permanent dead link a b BBC Science Free Will Similar in Animals Humans But Not So Free Is Homosexuality an Evolutionary Step Towards the Superorganism Wired 2008 01 03 E O Wilson Proposes New Theory of Social Evolution Wired 2010 08 26 de Koninck Charles 2008 The philosophy of Sir Arthur Eddington and The problem of indeterminism The writings of Charles de Koninck Notre Dame Ind University of Notre Dame Press ISBN 978 0 268 02595 3 OCLC 615199716 In this regard by recognizing chance contingency in the reality the rationality of the empirical law of large numbers can be shown See D AMICO Rosario Chance and The Statistical Law of Large Numbers Journal of Mathematical Economics and Finance S l v 7 n 2 p 41 53 dec 2021 ISSN 2458 0813 Available at https journals aserspublishing eu jmef article view 6879 Bohm D Causality and Chance in Modern Physics pp 29 33Bibliography editLejeunne Denis 2012 The Radical Use of Chance in 20th Century Art Rodopi Amsterdam James William The Dilemma of Determinism Kessinger Publications 2012 Narain Vir et al Determinism Free Will and Moral Responsibility TheHumanist com 21 Oct 2014 thehumanist com magazine november december 2014 philosophically speaking determinism free will and moral responsibility Russell Bertrand Elements of Ethics Philosophical essays 1910 External links editIncompatibilist Nondeterministic Theories of Free Will from the Stanford Encyclopedia of Philosophy indeterminism from the Philosophy Professor Causal Determinism at the Stanford Encyclopedia of Philosophy Norton J D Causation as Folk Science Retrieved from https en wikipedia org w index php title Indeterminism amp oldid 1175889034, wikipedia, wiki, book, books, library,

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