Just refining the opening, before this goes on its train of consciousness. Suppose we did know the probability of finding everything in an hour. The situation is then that we search for an hour and pick the least likely thing we find. Suppose that is p What we don't factor in just how many things have the probability of p, and so how finding something with probability p is much much greater than p. But anyway onto the stream of consciousness..
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Just watching a BBC TV program on chance. At the end the narrator says they've found a chicken nugget in the shape of the queens head in Her Diamond Jubilee year. What is the chance of that?
The problem though is not what is the chance of finding a chicken nugget in the shape of the queen in her diamond jubilee year. The nugget is already found!
The question is given that a queens head nugget has been found in the Jubilee year then what ???
What actually is the question?
It seems to be something like. Wow if I went out searching for this it would take me a long time because its very unlikely.
But this is not the situation.
And the problem with this scenario is that we have not defined the "prior" at all. I mean, in general, what is acceptable as an "event" we can ask the probability of.
How many unlikely things happen to us every day? What is the chance of catching the No 17 bus on the 17th. What is the chance of getting a piece of food stuck between our teeth, the day we run out of tooth picks. What is the chance it rains and we definitely thought it wasn't. Sounds like an Alanis Morrissette song, but no it isn't ironic, these are just things suitably unusual that we notice them and encode them.
The chance that we stepped on a leaf in two consecutive steps we probably won't stop to even think about. The probability that we breathed out at the same time as the lights turned red, and also when they turned green.
There are only so many things we are going to account in a day. A basic "bandwidth" of things we will notice.
So if we know all the possible things that can happen to us, and the bandwidth of how many we will notice and make a big deal out of, perhaps then we can start to calculate the probability retrospectively of finding a queens head chicken nugget in her Jubilee year.
But we don't do this and so really the amazement of such things, is the under estimating just how many things can and do happen to us each day!
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Now Quantum Physics and observation are intricately linked. There is something about pre- and post-observation.
Obviously in Schrodinger's Wave Equation while the pre- observation is defined as a probability, the post- observation is a discrete measurable event.
In science you do blind testing to make sure that information that could pollute the results is not present "before" results are measured. You don't tell trial subjects whether they are control of not because even if they are "honest" you cannot be sure it would not affect the outcome. This is slightly different from the usual scientific practice of standardising unwanted variables. If you are measuring viscosity you standardise temperature because they are linked. But in a drug trial its not that information on what the patient is taking may just be "linked" to the outcome, it is linked to the very process of the experiment, in that the study scientists are trying to "know" stuff and gather information itself.
Another example is how our experiences are shaped by what we know. Plato in Theaetetus imagines that our mind is like a clay tablet into which things leave an impression. In the future when there is a "fit" we have the experience of knowing. Seeing someone far of, we have this experience of unknown. As they approach we can watch in slow motion the mind trying to add an identity. When finally we recognise them that is a "fit" between the impression we have and the world. Plato is thus noting that an experience of knowing depends both on the object and the mind. When I first read a book on tree identification I thought the Ash Tree very exotic with its Pinnately Compound leaves and figured they must be rare as I had never seen one before. Looked out of the window and we had one in the garden! The world we live in, is very much constructed by what we know. That is to say the very solid experiences we have are mediated by prior knowledge.
So when something "unlikely" happens there is a load of stuff we are bringing to the table as well. In that BBC program the story of someone writing a friend a postcard from holiday only to meet them on the way to the post office. Yet that friend must pass hundreds if not thousands of people a day. The notable feature was not their meeting, but that they knew each other. If both of them had advanced dementia they may not even notice each other and the event would go unnoticed. It would take a 3rd party to note the unlikely encounter. But suppose that 3rd party was Facebook using mobile phone GPS data to monitor the positions of users. Facebook can now do a global daily search to see when friends come into close contact. Suppose their AI is smart enough to also work out whether the meeting was prearranged, either by looking at calendars, posts or also the behaviour e.g. 2 people going to shops and then briefly meeting in the queue before going different ways: you wouldn't plan to meet in a shopping queue. Now what do we think about the probability of "unlikely" encounters between people who know each other given the whole world!
There is the pigeon hole principle at work here too in the famous Birthday Paradox. You are at a party and find someone with your birthday. I went to a dance club for my birthday some years ago and heard a girl in the queue had a birthday that day too! That felt unlikely. But the chance of two people in a room of 23 sharing a birthday is actually a half. The reason we get confused is that we think about it in terms of us being one of the people and one of the other 22 having our birthday. But the point here is that any birthday will do. There are only 365 possible birthdays each year for all of them. Now take 23 people and put them randomly into 365 "bins" and we are looking at chance that 2 end up in the same "bin."
Given all the possible things that can happen in a day that we would consider it coincidental to find a friend doing, that is a lot more than just a birthday. Given you are friends you will also share a lot of similarities too. In fact you should be more surprised when things don't happen. Given the real probability of Birthday Paradox is 50% if you are in a room of 23 people and no one shares a birthday that is actually quite an unlikely "coincidence", but we wouldn't realise it.
So "given an event" has happened, its actually extremely difficult to work out whether this is "significant" or not. Once we know about the event, looking back into the past to work "likelihoods" out doesn't work. By knowing it, we have already changed everything. Both in a mathematical way, but potentially in a really existential profound way.
Some more thought needed!
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The classic way this is exploited is in media. Here is a video of Numberphile rolling 6x three faces.
It looks like its the first roll. But really over 1000 previous rolls were edited out. The ability to decide when time starts and the viewer attention and context begins gives the editor of media extraordinary super powers.
In the back of our mind when we watch TV illusionists there is always the thought that perhaps the film has been edited. When we watch on stage someone climb into a box and then emerge from another box, that requires some neat trickery. On film its so simple anyone can do with it a just a mobile phone... someone just pauses the recording while you move.
So we learn that "within" media (and stories in general) they have their own time. The "Once upon a time" or the "In the beginning" are critical components of a story that begin the clock ticking of the story.
Now the question regarding probability is that we make assumptions about our reality. The probability of throwing 6x threes on dice is 1/46656 if we just rolled 6 dice. But what is the probability that a video shows 6x threes? Much higher because people don't film random sequences. What is the probability that a news article carries a story about a goldfish being won at the fair? Much lower than the probability of winning it, because media filters. And so do we!
To illustrate that probability is not "real" but is integrally linked to our mind: what is the probability of that numberphile outcome?
You might argue that throwing 6x threes is:
p(6x3) = (1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6) = 1/46656
But how do we know they were not just trying to throw 6 numbers the same? There are now 6 ways to do that.
p(6x3)/6 = 1/7776
So in fact there are two answer for this outcome and video! It all depends what was in your mind. You need more information. This illustrates the problems above of working backwards from seemingly unlikely events. There seems to be a need for some "prior" before can determine the probability of an event. Just picking up a leaf and saying what is the probability of that means unlimited answers. What the probability of it being here at all, the probability that I picked it from all the others, even the probability that I decided to start asking chance questions right now.
If we watch the rest of the video we find that he threw it around 1000 times. So it's much more likely that he was trying to just get 6x numbers the same. Prior information actually changes the probability! Suppose that prior information was sealed in a envelop we are now entering apparent Schrodinger's Cat like territory and super position where the outcome is only determined once distant information is revealed.
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This is actually linked to "freedom." What is the probability that something will happen, is a measure of just how free we are. What is the probability I will gain what I desire is very much linked to the way we live in the West. Those who can secure good likelihood are considered winners, and those who cannot are considered losers. But losers do play things like lottery in the hope that they may have a chance at being winners.
But even the biggest winners don't control everything. The richest most powerful person may succumb to illness that the medicine of the day cannot solve. Or a rival blows up their helicopter, or perhaps despite the best mechanics that money can buy an error occurs and the helicopter crashes. Even winners can be losers.
Now in Buddhism there is this concept of "emptiness." Its the question of what does the world look like when no one is looking at it. It seems ridiculously simple that my bedroom during the day exists, and when I return to it at night it is still there just as I left it. But the question what does it "look" like when no one is there, cannot be answered. When no one is looking, things don't "look like" anything. How fast can a car go when no one is driving? Or most famously what is the sound of a tree falling in a forest when no one is there to hear it.
This is well discussed in Western Philosophy. The phenomenon is the sensory event, the actual happening, the what someone experiences. The noumenon is what is really there. When you buy coal, you did not hear the tree fall, no one heard the tree fall, it fell around 325 millions years ago. But it did fall and the coal is proof of that. So we argue that a tree fell, and that fall got recorded in the geological record to be discovered today and become the phenomenon of coal.
But we need to be a bit careful. "325 millions years ago" when did this happen? Its just an idea.
So we get to Hegel and the realisation that the Noumenon is just in the mind. We "think" noumenon, we "see" phenomenon.
The idea that there is a "real" thing "out there" that is never-the-less unknown is nonsense. Ah but that tree must have fallen in the Carboniferous period else how is there coal? This is true, but without a time machine this is not "real." Its an idea deduced from evidence by very clever geologists and then passed on to people. This is why we "think" that coal comes from trees. Who knows what other people before us "thought."
Now all this to get to "emptiness" and the number of chances that can happen to us.
Quick aside. Sometime attributed to golfer Jerry Barber "the more I practice the luckier I get." This could be a line from Buddhism also. The only difference is that Barber is referring just to golf, while Buddhism is referring to mind and heart training to make us alert and kind.
So we could say "The more alert and kinder I am the luckier I get."
Now this links to Karma and Emptiness. Buddhist theory says that everything has causes and effects. When things happen to us, lucky or otherwise, they are the effect of a cause that can ultimately be attributed back to us in the past.
This can best be explained by our mind. As above we argued that Noumena do not "really" exist they are ideas. But greater than ideas is Mind. The Mind we have decides which ideas we produce. Some ideas are helpful, some not. Suppose someone gives us a cup of coffee when we get to work. Some Mind will be very grateful and feel good. Other suspicious minds may feel negative and wonder why this person is trying to win you over. Save event/phenomenon, different Mind, and so different ideas/noumena!
Now the greater and purer our Mind, the broader its vision, and the freer it is. Mind it turns out is the most important. As Buddha says "without our minds we make the world." Tough to understand for someone stuck in an "objective" world where their "thought" have become reality!
A free Mind it full of Possibility. So much so that all situations are full of potential. We no longer look at the "chance" events, and all events become filled with possibility.
There is the person living a sluggish life waiting for that lottery win to change their life. There is another person who does not look to a future chance event, but instead begins with what they have today. Perhaps they want to be rich as well, so they go to college to gain a skill, or they find ways to hang around rich people, like becoming an apprentice to a rich person or company so they can learn how it works themselves. Or perhaps they have some skills or passions that they feel they can share with others like painting or fitness training.
And most important in all these will be alertness and kindness. If we are positive with other people then they will ultimately be positive to us. And people is what makes the world.
Altho its not just people. You can't just fake yourself to the top. Its genuine openness and purity of Mind, with all obstacles and hindrances removed. That is what makes possibilities.
A trivial example. A place we wanted to visit recently was closed when we got there. But we used the opportunity that created to explore the area and had a really good day anyway. Not what we planned, but just as good. One door closed, is another open: its just our mind that decides whether we focus on closed doors or chose open doors.
And obviously that is linked to desire. If you have looked forward to visiting that place for years and then find it closed, adjustment is going to be hard. This is probably the most important practice you can do in life. Being able to "let go." Tanha they called it, that grasping on to things. Western existence, especially the Romantic movement, place huge importance in grasping. We feel our life is meaningful when we are holding onto things tightly. It gives us a solid foundation, we feel found, and grounded. Things seem real. The chance events that started this blog are like this. They come in a particular way that means we can easily grasp them. Some coincidence, or pattern that makes them stand out and we can grasp at them, We hold them thinking, there must be meaning to this. But invariably such a desire to grasp things is a reaction to having lost other things we were grasping. The grasping does not help. Being able to weaken our grip rapidly on things that have gone is pure wisdom and freedom. Because once our grip is less, we are free to pick up something else.
Now of course this may lead to a frenzy of putting things down and picking things up. There are no rules here. Its just a sensible ability to let go of what is impossible, and pick up what is possible. There is no algorithm here for a robot to learn. Freedom and wisdom have no roadmap.
So finally back to chance and emptiness. The narrator finds a chicken nugget in the shape of the queens head in Her Diamond Jubilee year. If the narrator is not preoccupied with other things this is much more likely. Reading the racing papers while eating the nuggets you might well miss it. Or perhaps the queue was very long and we are angry by the time we get the nuggets. We eat them while annoyed and don't even notice the queens head, stupid thing I'm in a bad mood. Yet being alert and kind we see much more of the world, and we are open to increasing numbers of opportunities.
They say ultimately it is infinite possibility. A truly enlightened mind is not limited in any way but particular events or circumstances. They are like Harry Houdini, David Blane or an octopus that can find their way out of any cage. The world is filled with possibilities.
In such a state the arising of particular external phenomena is no longer the point. Chance is not about "unlikely" events. The field of possibility is infinite, and so "unlikely" is going to happen ALL the time if you are free to see it.
Its often asked how likely is Life to arise in this Universe. Its an impossible question. We have no way of knowing how "big "things are. Perhaps we are just looking at a small part of the universe and our current theories have limited us to thinking about just one "big bang." But we do know that Life is rare from our current perspective. Its only happened on Earth. But even given life what are the chances of you ever existing. In my own case my parents very nearly never got together. Very Marty McFly in "Back To The Future". And if we go back lots of family were killed in the war, and many died in childbirth. Like the nugget the thing is we are already here. An Anthropic Principle. Tracing our roots is a certainty; we know there cannot be a break in the family tree going backwards. But if we were to pick a family member 300 years ago, which are the chances they would leave progeny today is much less certain. Given its a certainty how can we talk of probability?
Isn't this the magical nature of the Present Moment. It is a certainty. It is here right now. All things going into the past and future grow from this present certainty. And that present certainty is the same as the infinite potential. From a grounding the Now we have certainty and unlimited potential. Starting with a chicken nugget that looks like the Queen in her Diamond Jubilee is just the start, things flow from there. So Chance is never the issue in the present.