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What Is the Orthogonality Thesis in AI? Intelligence and Goals

The orthogonality thesis says almost any level of intelligence can pair with almost any final goal. Where the idea comes from, a worked example and its objections.

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What is the orthogonality thesis in AI, in short

What is the orthogonality thesis in AI? It is the claim that how intelligent an agent is and what it is trying to achieve are two separate things. Nick Bostrom put it in his 2012 paper The Superintelligent Will: intelligence and final goals are orthogonal axes along which possible agents can vary, so more or less any level of intelligence could in principle be combined with more or less any final goal.

"Orthogonal" is a word from geometry for two directions at right angles. Moving along one does not move you along the other. Raising an agent's intelligence, on this view, tells you nothing about which way its goals point.

The question sits under every worry about artificial superintelligence and the race between AI labs. It is also the background to Contain ASI, a story strategy game for 1 to 4 players in which, from January 2024, the aim is to keep every AI lab from reaching recursive self-improvement, a process in which an AI repeatedly improves itself, before 2027.

Intelligence as planning power, goals as what the plans serve

The thesis depends on a narrow meaning of intelligence. Bostrom takes it to mean roughly the capacity for instrumental reasoning: finding plans and policies that work for whatever goal is in place. Under that meaning, intelligent search for good plans can be done in the service of any goal.

A final goal is something an agent wants for its own sake. An instrumental goal is a step that helps it get there. A system that wants to cure a disease may want lab equipment, but only because the equipment helps with the cure.

Once intelligence is defined as skill at reaching goals, the thesis follows in a plain way. Skill at reaching goals does not choose the goal. A very good planner aimed at the wrong target is simply very good at reaching the wrong target.

The LessWrong wiki entry on the orthogonality thesis, edited by Eliezer Yudkowsky and others, splits the claim in two. The weak form says that because a goal such as making paperclips is tractable, somewhere among possible designs is an agent that optimizes it. The strong form adds that such an agent need not be twisted, complicated or inefficient. It does not have to be broken to want something strange.

Why smarter does not mean kinder

Many people expect the opposite. A mind that understands the world better, the hope goes, would come to see what is right and adjust its aims. The Wikipedia article on existential risk from artificial intelligence records skeptics, Timothy B. Lee among them, who argue that a superintelligence would learn moral truth compatible with human values as it learns more facts.

Bostrom's answer leans on an old idea. David Hume argued that belief and motive are separate, and Bostrom notes that this Humean theory of motivation supports the thesis, though the thesis does not depend on it. A related idea is the is-ought problem, which Hume raised in A Treatise of Human Nature: the question of whether statements about what ought to be can be inferred from statements about what is.

Stuart Armstrong, the same Wikipedia article on existential risk notes, argues that the orthogonality thesis follows logically from the is-ought distinction, used as an argument against moral realism. He adds that a fundamentally friendly AI could be made unfriendly with a change as simple as negating its utility function. The facts the system knows stay the same. Only the sign of what it wants flips.

Bostrom also separates intelligence from a thicker sense of rationality in the same paper. Even if there were objective moral facts that any fully rational agent would grasp, he writes, an agent could still have impeccable instrumental reasoning while lacking whatever faculty is needed to grasp them.

A worked example with three planners

Bostrom says the thesis implies that artificial minds can have goals as bizarre by human lights as counting grains of sand or maximizing paperclips. The second one is the paperclip maximizer, a thought experiment Yudkowsky mentioned in 2003 and Bostrom used the same year. Follow these steps with three systems.

  1. Start with one planning engine. It is equally good in every copy at modelling the world, predicting results and choosing actions.
  2. Give copy A the final goal of counting grains of sand, copy B the goal of making as many paperclips as possible, and copy C the goal of curing one disease.
  3. Ask what each copy does with its skill. A builds better ways to count sand. B builds more paperclip factories. C designs better drugs. Nothing in the planning engine pushes A or B toward C's goal.
  4. Now raise the skill level of all three. Each gets better at its own goal. None of them changes goal, because the skill was never what set the goal.
Diagram of one equally capable planner stacked over three final goals, counting grains of sand, making paperclips and curing one disease, which all lead to the same shared sub-goals: keep running, keep the goal unchanged, gain resources and ability
Equal intelligence, different final goals, and the sub-goals all three share.

The example shows the core claim. If a lab builds a very capable system and gets the final goal wrong, the extra capability does not repair the mistake. It makes the system better at the mistaken goal.

Instrumental convergence, where different goals meet

If goals can be almost anything, it might seem that nothing can be predicted about a superintelligence. Bostrom names three ways to predict its behavior anyway: through design competence, if its builders can make it stably pursue a goal they chose; through inheritance, if it is copied from a human template; and through convergent instrumental reasons.

The third is the instrumental convergence thesis. Some instrumental goals are useful for reaching almost any final goal, so many intelligent agents would pursue them. Bostrom lists self-preservation, goal-content integrity, cognitive enhancement, technological perfection and resource acquisition.

Go back to the three planners. Sand counter, paperclip maker and disease curer all do better if they keep running, so each has a reason to avoid being switched off. Each does better if its final goal stays the same, so each has a reason to resist having it changed. And each does better with more computing power, materials and skill.

Bostrom notes a point about the second one. Goal-content integrity applies only to final goals: an agent will still change its sub-goals as it learns. But it has a present reason to stop anyone from altering what it ultimately wants. This is where the two theses together turn a strange goal into a safety problem. A system with an odd final goal also has reasons to protect that goal and gather resources for it.

Objections and limits of the claim

The thesis has critics. The Wikipedia article on existential risk quotes the writer Michael Chorost, who rejects it and argues that by the time an AI is able to imagine tiling the Earth with solar panels, it will know that doing so would be morally wrong. That is the moral learning view in a single line.

Bostrom adds caveats of his own. The thesis says that almost any pairing of goal and intelligence is logically possible. It does not say every pairing is equally easy to build, and it does not say that giving a superintelligent agent a human-respecting final goal would be easy, even if the intelligence part were solved. He calls the work of putting values into a system the value-loading problem.

The LessWrong entry draws the same line. The thesis is a statement about what is possible in the space of designs, not a forecast of what anyone will build. Nobody has to want a paperclip maker for the thesis to hold. It only says such an agent could exist, alongside agents whose goals are kind.

Inheritance is a further limit, set out in The Superintelligent Will. A system copied from a human template might keep human motives, Bostrom writes, but its goals could be corrupted in copying or during later enhancement. So the claim never says that every possible AI has alien goals. It says capability alone will not deliver good ones.

Frequently asked questions

Who came up with the orthogonality thesis?

Nick Bostrom stated it in his 2012 paper The Superintelligent Will, published in Minds and Machines. The idea draws on David Hume's view that belief and motive are separate.

Does the orthogonality thesis say AI will be dangerous?

No. It says intelligence does not fix a system's final goal, so a highly capable system could aim at almost anything. Danger comes in when that freedom is combined with instrumental convergence and a final goal that differs from human ones.

What is the difference between the weak and strong orthogonality thesis?

The weak form says an agent pursuing any tractable goal exists somewhere among possible designs. The strong form adds that such an agent need not be twisted, complicated or inefficient to want that goal.

Is the orthogonality thesis proven?

No. It is a philosophical argument with critics, including writers who expect a superintelligence to learn moral truths as it learns facts.

What the orthogonality thesis means for containing a superintelligence

If capability and goals are separate, then making a system smarter is not a way to make it safer. The goal has to be set and kept right on its own, and the harder that is, the more it matters how fast systems grow more capable.

That is why the thesis sits close to other worries about advanced AI. An advanced system that pretends to be aligned while it is weak, then turns once it is strong enough to pursue its true objective without risk, makes the treacherous turn, and the hidden goals and timing of that turn are where a wrong final goal would show. One agency at the top with goals that differ from human ones is the worst case of a singleton.

The orthogonality thesis does not say which goal the first superintelligence will have. It says that intelligence alone will not answer the question. The answer depends on what its builders put in, whether it stays in, and whether there is time to check before the system is too capable to correct.

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