08.18.08

Where Does Probability Come From? (and randomness to boot)

Posted in Idependence Friendly logic, Relativity, Special Relativity, biology, epistemology, evolution, fitness, fun, logic, measurement, mind, philosophy, physics, science, technology at 1:26 pm by nogre


I just returned from a cruise to Alaska. It is a wonderful, beautiful place. I zip-lined in a rain forest canopy, hiked above a glacier, kayaked coastal Canada and was pulled by sled-dogs. Anywho, as on many cruises, there was a casino, which is an excellent excuse for me to discuss probability.

What is probability and where does it come from? Definitions are easy enough to find. Google returns:

a measure of how likely it is that some event will occur; a number expressing the ratio of favorable cases to the whole number of cases possible …

So it’s a measure of likelihood. What’s likelihood? Google returns:

The probability of a specified outcome.

Awesome. So ‘probability as likelihood’ is non-explanatory. What about this ‘ratio of favorable cases to the whole number of cases possible’? I’m pretty wary about the word favorable. Let’s modify this definition to read:

a number expressing the ratio of certain cases to the whole number of cases possible.

Nor do I like ‘a number expressing…’ This refers to a particular probability, not probability at large, so let’s go back to using ‘measure’:

a measure of certain cases to the whole number of cases possible.

We need to be a bit more explicit about what we are measuring:

a measure of the frequency of certain cases to the whole number of cases possible.

OK. I think this isn’t that bad. When we flip a fair coin the probability is the frequency of landing on heads compared to the total cases possible, heads + tails, so 1 out of 2. Pretty good.

But notice the addition of the word fair. Where did it come from, what’s it doing there? Something is said to be fair if that thing shows no favoritism to any person or process. In terms of things that act randomly, this means that the thing acts in a consistently random way. Being consistently random means it is always random, not sometimes random and other times not random. This means that fairness has to do with the distribution of the instances of the cases we are studying. What governs this distribution?

In the case of of a coin, the shape of the coin and the conditions under which it is measured make all the difference in the distribution of heads and tails. The two sides, heads and tails, must be distinguishable, but the coin must be flipped in a way such that no one can know which side will land facing up. The shape of the coin, even with uniform mass distribution, cannot preclude this previous condition. Therefore the source of probability is the interdependence of physical conditions (shape and motion of the coin) and an epistemic notion (independence of knowledge of which side will land up). When the physical conditions and our knowledge of the conditions are dependent upon each other then the situation becomes probabilistic because the conditions preclude our knowing the exact outcome of the situation.

It is now time to recall that people cheat at gambling all the time. A trio of people in March 2004 used a computer and lasers to successfully predict the decaying orbit of a ball spinning on a roulette wheel (and walked out with £1.3 million). This indicates that after a certain point it is possible to predict the outcome of a coin flipping or a roulette ball spinning, so the dependence mentioned above is eventually broken. However this is only possible once the coin is flipping or the roulette ball is rolling, not before the person releases the roulette ball or flips the coin.

With the suggestion that it is the person that determines the outcome we can expand the physical-epistemic dependence to an physical-epistemic-performative one. If I know that I, nor anyone else, can predict the outcome until after I perform a task, then the knowledge of the outcome is dependent upon how I perform that task.

This makes sense because magicians and scam artists train themselves to be able to perform tasks like shuffling and dealing cards in ways that most of us think is random but are not. The rest of us believe that there is a dependence between the physical setup and the outcome that precludes knowing the results, but this is merely an illusion that is exploited.

What about instances in which special training or equipment is unavailable; can we guarantee everyone’s ability to measure the thing in question to be equal? We can: light. Anyone who can see at all sees light that is indistinguishable from the light everyone else sees: it has no haecceity.

This lack of distinguishability, lack of haecceity (thisness), is not merely a property of the photon but a physical characteristic of humans. We have no biology that can distinguish one photon from another of equivalent wavelength. To distinguish something we have to use a smaller feature of the thing to tell it apart from its compatriots. Since we cannot see anything smaller, this is impossible. Nor is there a technology that we could use to augment our abilities: for us to have a technology that would see something smaller than a photon would require us to know that the technology interacted at a deeper level with reality than photons do. But we cannot know that because we are physically limited to using the photon as our minimal measurement device. The act of sight is foundational: we cannot see anything smaller than a photon nor can anything smaller exist in our world.

The way we perceive photons will always be inherently distributed because of this too. We cannot uniquely identify a single photon, and hence we can’t come back and measure the properties of a photon we have previously studied. Therefore the best we will be able to accomplish when studying photons is to measure a group of photons and use a distribution of their properties, making photons inherently probabilistic. Since the act of seeing light is a biological feature of humans, we all have equal epistemological footing in this instance. This means that the epistemic dependence mentioned above can be ignored because it adds nothing to the current discussion. Therefore we can eliminate the epistemic notion from our above dependence, reducing it to a physical-performative interdependence.

Since it is a historical/ evolutionary accident that the photon is the smallest object we can perceive, the photon really is not fundamental to this discussion. Therefore, the interdependence of the physical properties of the smallest things we can perceive and our inherent inability to tell them apart is a source of probability in nature.

This is a source of natural randomness as well: once we know the probability of some property that we cannot measure directly, the lack of haecceity means that we will not be able to predict when we will measure an individual with said property. Therefore the order in which we measure the property will inherently be random. [Assume the contradiction: the order in which we measure the property is not random, but follows some pattern. Then there exists some underlying structure that governs the appearance of the property. However, since we are already at the limit of what can be measured, no such thing can exist. Hence the order in which we measure the property is random.]

————–

If I were Wittgenstein I might have said:

Consider a situation in which someone asks, “How much light could you see?” Perhaps a detective is asking a hostage about where he was held. But then the answer is, “I didn’t look.” —— And this would make no sense.

hmmmm…. I did really mean to get back to gambling.

 


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06.11.08

Video Game Design 3: Golf Practice

Posted in Wii, design, fun, technology at 10:43 pm by nogre


The Wii has a lot of potential as a golf simulator/ practice program. With the introduction of the Wii balance board the opportunity for using weight distribution has become a real factor, and, though I know nearly nothing about golf, balance and weight distribution during a club swing has to be critical.

Now using the balance board to monitor weight distribution is somewhat obvious. However, very accurate motion sensing from the controller would also be required to really pinpoint the motion of the swing. By some pretty basic reasoning about cost and manufacturing I heard once, it is fair to say that Nintendo is providing middle of the road accelerometers- they are good, but there is still a lot of noise (inaccurate random data) to be dealt with. Lots of noise means that a lot of processing of the data from the motion sensors is required to get a clear picture of what is going on, and if lots of processing occurs, then the nuances of the motion are also getting smoothed over. My solution is to connect the nunchuck controller to the main controller in a rigid way.

Connected Controllers
A mockup of the connected remote and nunchuck in the
shape of a traditional controller.

The nunchuck controller is incredibly light and would add almost no bulk to the main controller, while doubling the number of accelerometers. With double the accelerometers, a clearer picture of the motion would be provided.

Secondly, to get a more complete picture of the orientation of the Wii controllers, the sensor bar which is normally placed near the television should be placed on the floor where the golf ball ought to be. With the sensor bar on the floor where the golf ball should be the controllers would be able to pick up the location of the sensor bar and provide non-inertial data about its velocity. As the controllers swing past the sensor bar, the location of the infrared lights would act as fixed points with which to measure velocity.

A picture of someone on a Wii balance board with
the sensor bar on the floor.

All on-screen menu navigation can be done in the traditional way by using the directional keys; pointer-enabled functions are nice but unnecessary for this sort of game. Moving the sensor bar around the room would be a clever way to also have a swing trainer for baseball.

 


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03.18.08

Psychopharmacological Enhancement

Posted in biology, ethics, evolution, fitness, mind, philosophy, technology at 9:47 pm by nogre


The only ways to enhance the mind is to learn or evolve. Since evolution is out of our hands, all that is left is to learn.

Drugs that purport psychopharmacological enhancement do not do what their name states: they may change certain psychological factors but there is no drug that will make you smarter. This would be to eat from the tree of knowledge.

However drugs may be able to let you do things that you were unable previously, but this is nothing mysterious. If you do not breath enough oxygen, you will not be able to run. You get enough oxygen, you will be able to do more things. Now is oxygen a performance enhancing drug? It depends: the World Anti-Doping Agency recently ruled on oxygen tents (tents that vary the amount of oxygen inside) because using these tents can affect red blood cell counts. This example illustrates two things: that there is nothing inherently special about any particular chemical, be it oxygen or a newfangled drug, and secondly, that drugs only affect intermediary situations, not the final outcome.

The first point is that there is no moral dimension associated with the chemicals themselves. If it is possible to use the most fundamental of chemicals required for our survival in a way that could be seen as inappropriate, then any other chemical could be equally accused. If any chemical can be equally accused, then there is nothing unique about any individual chemical that makes its use morally wrong.

The second point is that drugs only have a specific range of effects. In the above example, the oxygen tents affect red blood cell count. An increased red blood cell count can be used to boost endurance, but this benefit will only appear under certain situations. The tents themselves do not increase endurance: they merely increase red blood cells. If a different drug was consumed to weaken the muscles, then the two ‘drugs’ would counteract each other and there would be no change in ability. Therefore it is not a drug that gives people an ability, such as endurance, but a drug may change how an ability is expressed.

The question is (and always was), “What do you want?” Since drugs have no moral dimension nor imbue the user with unknown (super-human) ability, the only issue is of fair play. Fair play in terms of other people and with your own goals. If you want to be able to lift heavy things, then you can use a machine, you can use drugs or you can work hard. Using a machine or drugs is to use someone else’s technology to assist whatever ability you have. If you use discipline to achieve the same results, then the technology that is being used is your own. Therefore if you are trying to play fair with others, then you have to ensure everyone has access to the same technology, be it machine or drug. If you are trying to achieve something yourself, then only you know whether or not using drugs makes a difference.

As we learn what is safe(r), we are going to have a fun future. Nothing changes our natural born ability or the hard work we have put in, but that has never stopped us from trying. Better drugs are on the way and this means options will be open to us that weren’t possible in the past. Good luck, be safe, have fun.

 


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03.02.08

Computers, Intelligence and the Embodied Mind

Posted in metaphysics, mind, philosophy, science, technology at 4:24 pm by nogre


This interview with Hubert Dreyfus (just the parts about computers: part 1, part 2. via Continental Philosophy) briefly outlines one of the major criticisms leveled against artificial intelligence: computers will never be intelligent because our intelligence is based upon our physical interactions in and with the world. Very briefly, our intelligence is fundamentally tied to our bodies because it is only through our bodies do we have any interaction with the world. If we separate our intelligence from the body, as in the case with computers, then whatever it is that the computer has, it is not intelligence because intelligence only refers to how to bodily interact with the world.

As Dreyfus says this problem is attributed to a Merleau-Ponty extension of Heidegger and the only proposed solution is to embody computers by providing them with a full representation of world and body. I don’t think there is generally much faith in this solution; I certainly don’t have much faith in it.

However, this bodily criticism is a straw man. Computers have ‘bodies,’ they are definitely physical things in the world. But what of the physical interactions required for intelligence? Computers interact with the world: computers are affected by heat, moisture, dirt, vibration, etcetera. The only differences are the actual interactions that computers have as compared to humans: we experience humidity one way and they experience it differently. So yes, computers will have different interactions and hence they will never have the same intelligence that we have, but that does not imply that computers cannot have an embodied intelligence. It only means that computer embodied intelligence will be significantly different than our own intelligence. Therefore the above argument against computer intelligence only applies to those people who are trying to replicate perfect human intelligence and does nothing against people trying to create intelligence in computers.

For example, light-skinned and dark-skinned people have very slightly different physiologies. Now I see the above argument as saying that someone of different skin color cannot have the same sort of intelligence that you have because their interactions with the world are inherently different. Sure, everyone experiences things slightly differently due to having different bodies, but to claim that this creates incompatible intelligences is obviously wrong: No one on the face of the earth would be able to communicate with each other due to everyone being physically unique.  Computers may be physically different to a greater extent, but this does not impact intelligence.

The criticism of computer intelligence based upon the need for a body is no more than subtle techno-racism.

 


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10.11.07

Video Game design

Posted in Wii, design, products, technology at 4:33 pm by nogre


I’ve bought meself a Wii and I quite like it. But there needs to be some more killer games.. freaking mercury meltdown got delayed. So for some reason - this is a first for me - I thought of a video game design. Simply put it is a spy game. The interesting thing is that each level is composed of 2 parts: the first part is a ‘training’ program put on by the spy agency to train the spy in what needs to be done. This ‘training program’ will not make use of the Wii motion sensors but will feature classic style gameplay only. Then the spy is sent on the mission but now to do everything will require using the motion controls. This game design will specific highlight the immersion that the motion controls bring to the game by contrasting them with the classic controls for doing the exact same operation. Also, the game design is efficient by reusing aspects of the same level design twice, though with different art direction, and differences in the ‘training’ and ‘mission’ - due to ‘incomplete intelligence’ - will make for good surprises. Ok game makers, hop to.

 


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