Lecture 2: free will

— the physics of unfreedom: determinism and causality

— quantum mechanics to the rescue?

— Hume

— Dennett

— Wegner

where do intentions come from?

The sense of agency is caused by the functioning of corollary discharge circuits in the brain, beginning with an intention to act. But what causes the intention?

slide 2

intuition about intention

Commonsense intuition tells me that my intention to raise my arm, which can be causally effective (try it), must itself be uncaused — that is, not entirely determined by my own past history, let alone by factors outside of myself — if I am to be considered a free agent.

This notion of freedom is, of course, just an intuition, and so should be distrusted as a matter of principle. Let us examine it in the light of the laws of physics, and of computation.

slide 3

the physics of freedom

The behavior of any physical system (which is completely describable in terms of a trajectory through the system's state space) depends on two properties of its dynamics:

determinism;

causality.

slide 4

determinism

A pinball machine is a classical deterministic dynamical system (a system whose state changes over time according to a rule that is defined in terms of the current state).

determinism...

Because a pinball machine is deterministic, given the current position and velocity of the ball, it is possible to predict its future position and velocity as long as the system remains closed.

The prediction can be extended across the player's actions, if the forces and the durations of the latter are completely specified.

slide 6

determinism... and causality

Because a pinball machine is deterministic, given the current position and velocity of the ball, it is possible to predict its future position and velocity as long as the system remains closed.

The prediction can be extended across the player's actions, if the forces and the durations of the latter are completely specified.

This system is also causal: for each event, such as the ball striking a particular lever, it is possible to identify antecedents without whose occurrence the event in question would not have happened.

slide 7

determinism... and causality = unfreedom

Because a pinball machine is deterministic, given the current position and velocity of the ball, it is possible to predict its future position and velocity as long as the system remains closed.

The prediction can be extended across the player's actions, if the forces and the durations of the latter are completely specified.

This system is also causal: for each event, such as the ball striking a particular lever, it is possible to identify antecedents without whose occurrence the event in question would not have happened.


The combination of determinism and causality clearly spells the opposite of freedom for a pinball machine. If brains are deterministic and causal in the same way pinball machines are, it would seem that free will is a physical impossibility.

slide 8

quantum mechanics: a way out?

slide 9

quantum mechanics: a way out? 'fraid not.

— quantum mechanical effects are irrelevant at the level on which brain computes the mind;

— randomness is not freedom anyway.

slide 10

quantum mechanics: a way out? 'fraid not.

— quantum mechanical effects are irrelevant at the level on which brain computes the mind;

— randomness is not freedom anyway.

A real way out: follow Hume (A Treatise of Human Nature).

slide 11

following Hume: step 1

Whatever capricious and irregular actions we may perform; as the desire of showing our liberty is the sole motive of our actions; we can never free ourselves from the bonds of necessity. We may imagine we feel a liberty within ourselves; but a spectator can commonly infer our actions from our motives and character; and even where he cannot, he concludes in general, that he might, were he perfectly acquainted with every circumstance of our situation and temper, and the most secret springs of our complexion and disposition. Now this is the very essence of necessity, according to the foregoing doctrine.

We feel that our actions are subject to our will on most occasions, and imagine we feel that the will itself is subject to nothing; because when by a denial of it we are provok'd to try, we feel that it moves easily every way, and produces an image of itself even on that side, on which it did not settle. This image or faint motion, we persuade ourselves, cou'd have been compleated into the thing itself; because, shou'd that be deny'd, we find, upon a second trial, that it can. But these efforts are all in vain.

slide 12

following Hume: step 2

As to causation; we may observe, that the true idea of the human mind, is to consider it as a system of different perceptions or different existences, which are link'd together by the relation of cause and effect, and mutually produce, destroy, influence, and modify each other. Our impressions give rise to their correspondent ideas; and these ideas in their turn produce other impressions. One thought chaces another, and draws after it a third, by which it is expell'd in its turn.

In this respect, I cannot compare the soul more properly to any thing than to a republic or commonwealth, in which the several members are united by the reciprocal ties of government and subordination, and give rise to other persons, who propagate the same republic in the incessant changes of its parts. And as the same individual republic may not only change its members, but also its laws and constitutions; in like manner the same person may vary his character and disposition, as well as his impressions and ideas, without losing his identity. Whatever changes he endures, his several parts are still connected by the relation of causation.

slide 13

the Humean middle way

The resolution of the problem of free will — finding a middle way between chance and determinism — lies in pursuing the Humean analogy between the Self and a self-governed republic.

The Self, construed properly as a causal network distributed in space and time, has all "the varieties of free will worth wanting" (Dennett, 1987).

[The boundaries of the mind are] far enough back to give my self enough spread in space and time so that there is a me for my decisions to be up to!

— Dennett (2003)

slide 14

individual decisions are neither random nor uncaused

Unlike in a pinball machine, causality in a high-dimensional dynamical distributed system consisting of one or more brains (each with its history of past interactions with the world) and their environment is extremely complex.

Among the multitude of factors affecting an outcome, some may be random, but for consequential outcomes most are not. In a natural cognitive system, moreover, a significant subset of the non-random factors that affect consequential outcomes are part of the system itself (which is distributed in space and time).

There is a very simple reason for this: evolution.

slide 15

evolution ensures that individual decisions are attuned to individual needs

A system whose behavior is less random and more in line with the needs of its survival and procreation stands a better chance of driving rivals out of its ecological niche. Evolutionary pressure thus works to concentrate various causal bottlenecks that determine the behavior of a unit of selection (an individual fertile, gene-carrying organism) within that unit.

As a result, well-adapted individuals are characterized by a certain degree of control over their fate, as exemplified by the ability to avoid an impending event whose potential consequences are projected by the cognitive foresight mechanism to be harmful.

[Dennett's example in Freedom Evolves: evitability in the game of Life]

slide 16

the paradox of choice and necessity — resolved

I am compelled to choose, but what compels me —

"situation and temper, ... complexion and disposition, ... a system of different perceptions ... link'd together by the relation of cause and effect" is me.

slide 17

individual future is subjectively open

My future mind states are not just unknown but unknowable even to myself except through the regular process of cognition.

This kind of uncertainty about personal future affords me a subjective freedom.

The intractability of anticipating the behavior of complex systems implies also that to a cognitive agent the rest of the universe (including the mind-space trajectories of other agents) is, in the long run, equally unknowable. The universe as a whole may be deterministic, but to its denizens the far future is always uncertain.

slide 18

the mind's best trick

Wegner distinguishes between empirical will (the distillate of temporally structured statistical relationships between one's thoughts and actions), and phenomenal will, which is an illusion generated by the mind to account for one's behavior.

The feeling of free will is thus predicated on the absence of surprise when the efference copy of a thought or an action originating in one part of the brain matches the feedback from another.

slide 19

the mind's best trick

In the approach of the Illusion of Conscious Will, the whole idea of a "person" is an elegant accounting system for making sense of actions and ascribing them to constructed entities that are useful for purposes of social justice and the facilitation of social interaction. A person is constructed in the mind of the person, and, through a variety of communications and evidences, in the minds of others as well.

— Wegner (2004)

slide 20

free will and the Self

Thus while we would assume that there has to be a self in order for there to be freedom, Nagarjuna would say that there is freedom only to the extent that there is not a self.

If we cannot call the karmic web free since it lacks a self, by the same token we cannot call it determined, since nothing outside of it is causing it. To the extent that people identify a self, that self is determined by causes outside of it. The more cultivated they become on the Buddhist model, the less they think this way.

The less who thinks this way? A question that the European philosopher might ask. Nagarjuna's answer is no one, really. The non-personal web of causes and conditions sheds the delusion, or, rather, ceases to give rise to it.

Gier and Kjellberg (2004)

slide 21

gate, gate, paragate...