Friday, 21 July 2017

Fixed Points and God

A Fixed Point is like that point on a map of England that is right over the place where the point on the map is. Easy to see that the operation making a map (which is shrinking and moving it around) has a fixed point for any location of the map within the map area.

Fixed points remain invariant under an operation. Some geometric operation have one like making a map. But due to Kleene there is a proof that all logical systems have a fixed point. I believe a Turing machine has a fixed point. And since a Turing machine can perform every computation possible, and can emulate every computable system possible it means that every system must have a Fixed Point (that argument needs serious work).

It means that every system has an invariant. ow suppose there are systems we make which are designed to discover points of invariance. They cannot discover their own points of invariance because they cannot operate on them. Fixed Points represent “meta” data about a system. Possibility the basis of the proof I need to show that systems cannot be total, because they cannot encompass their own meta data.

Bt vast analogy Religions speak of the invariant nature of God or True Self. And also that this invariance is beyond the power of individuals. It is the given. The presence of Fixed Points in out Existence would provide exactly this experience. The discovery of the Fixed Points that Religion speaks of is not a process that lies within the system but is a feature of the system itself. Human Being may be systems but they belong to a world which ha just one Fixed Point. It is the invariance of that which enables the world to see that it is not a particular System as is the view point of Human Beings. Seeing the meta data releases us from the common system of being a Human Being. We are not ourselves in the system, but rather the whole interconnected system itself. That was the original insight anyway. But back to something concrete and intellectual.

A quine is a fixed point of a computer program. You input the text of a particular program to a computer and it generates the text of that program. So if this (SRH) hypothesis is true then a program cannot find its own quine. Well obviously. A quine must output the program itself. But a search is a program that goes through all options until finds something matching a criterion. So if the output is just a list of possibilities until matching a criterion then so must the program be. But is that a search. Anyway try to write a quine that is both the output of a search and a program at the same time… something obvious I’m missing here?

Thursday, 20 July 2017

PI does not contain itself

If PI contains itself then its decimal expansion is a repeating set of digits. Lets just look at the fractional part.

So pi = PI - 3. And pi(i) represents the ith digit of the fractional part of PI. 

pi = 0.141592654...

so pi(5) = 9

Now if pi contains itself then at some value of 'n' it follows that pi(i) = pi(i+n)

pi = 0.pi(1)41592654...pi(n)pi(n+1)41592654...pi(2n)pi(2n+1)41592654...

Such a sequence can be expressed as a fraction:

For example:

0.12345612345612345612345612345612... = 123456/999999

So pi would be:

1415926..pi(n)/9999999..n times

But Pi is irrational so we know that Pi is not built from a repeating finite sequence and does not repeat after a finite n.

This leaves 2 options. Either Pi repeats after a countably infinite n, or it does not contain itself.

Let us supposed that pi repeats after a countably infinite n.

This means that:

pi = lim(n->inf) 1415926..pi(n)/9999999..n

As I understand it all Real numbers can be expressed like this so the question of "contains itself" starts to get rather ambiguous. Repeating after an infinite sequence of digits is the same as not repeating it seems. To be confirmed.

Wednesday, 19 July 2017

Death

This blog was an investigation of Life. My life. My disaster of a Life and questions that it raised. It is 11 years since it started and I realised today that almost no progress has been made. Blundering around wondering whether to form sexual relationships, whether to work, buy a house, become a monk, abandon myself to pleasure, find some magical Enlightenment that would lift me out. What?

But realising that almost no progress has been made is the result of considerable progress. I realised that I need go back to Death first to see what is this Life. So what is Death? I shall present some ideas, none better than the rest, but all insufficient to capture the miraculous nature of Death.

A common view is that it is lights out. Game over. Oblivion. But consider the smaller death of closing our eyes. The world goes out. There is nothing but blackness but we don't for a minute think that the world has ceased to exist. We can think ourself into confusion here, but that isn't productive, so lets step around that quagmire. With out eyes closed we know the world carries on as usual. Our body is still here, our heart keeps beating, the sun keep moving through the sky. So when we die what makes us think anything changes then? Obviously our heart stops, and our brain shuts down and lots of other changes, but nothing actually changes. The world goes on. So what is this "oblivion" people speak of in this view of Death?

Another view is that we remain aware and while our physical eyes shut and our mortal body shuts down our hidden eyes are able to separate and travel to other places unseen by the living. This is a comforting thought. I have witness from several people on their death bed of being visited by people to take them away. Near death experiences are scientifically recognised. There is much mystery here. But like Oblivion it doesn't quite capture the whole mystery. If this "spiritual" body is always there then there is no real Death so we haven't got any closer to Death.

A common problem with ideas of Death is focus on the time and the body. We say of a child when they die what a tragedy that they didn't get to live their whole life. We know they are a child because their body is young. Older people look in the mirror and know that Death is approaching and accept it much more readily - I am satisfied with my life, or I have regrets. Although I know of some elderly who at Death were afraid by it, and others at younger age who were not concerned by it. We worry also about health and whether this body will last or give up on us. But our bodies, like our age and time, is not really connected to the question of Death. All these concerns are a side show to what is really going on in Life.

The key to the mystery of Death is linked to the mystery of Life. When do we Die is like the question when do we Live? Do I live yesterday? No. Do I live tomorrow? No. I live right now. In fact if I look at it, I always live right now. There has never been a moment in my life when I haven't been alive right now. And, I have never been alive yesterday, or tomorrow, only ever now. That sounds weird because I remember being alive yesterday and I expect to be alive tomorrow. But the point is those are only a memory and an expectation. If I had lost my memory it would be clearer: I am alive now and only ever now. That is where life happens. Our common view of Time is exactly like a wall calendar... it isn't time as it happens as we know it.

It's an odd way to see things to begin with, this "Present Moment" as it is usually called. But with practice we start to get the hang of it. We have many movies playing in the theatre of the Present Moment carrying all sorts of memories of the past, plans, thoughts. Often like with TV we get stuck watching them. But if we step back and survey Our Life as it stands we see that it is only what is happening that is Real. Everything else is a movie we are playing ourself along side what is happening.

So what of Death? If we look in the private movie theatre we see pictures of us as kids, and sketches of us as old people, and then perhaps brief glimpses of a funeral or grave, or perhaps a disaster where we die, or a peaceful scene with our loved ones around. Perhaps we play a film of us floating off to Heaven and being in the company of ancestors and God. But from the perspective of My Life this is all movie, a piece of entertainment. It isn't Death at all.

What emerges in the Present Moment of Life is that actually there is no exact thing called Death. The nearest thing to the opposite of Present Moment is day-dreaming on auto-pilot and we do that all the time. Indeed most of us spend most of our lives not in the Present Moment. We spend most of our lives not aware of Life, not actually Being Alive, and so in a way we are Dead most of the time! Ironically particularly when we are day dreaming about death!

If we return to our bodies for a moment. Or great fear is that the body will fail. But if we look at the body we have seen lots of bodies fail. It is on the news all the time. What we mean is that "our" body will fail. That is the one body amongst all the others that is our major concern. And now we enter the rabbit warren of the actual cause of the problem that Death poses. It is not Death itself, that happens all the time, it is "our" Death.

If for a second we ignore "our" Death and look at all the other Deaths. It is quite remarkable that they don't really make much difference. 80 million people died in World War 2. It is totally incomprehensible but every one of them was a person like you are I worrying about their Life, trying to stay alive and live a happy life. And all of them perished in a way we cannot even comprehend. And yet today for all that tragedy and disaster it makes no difference at all. The Sun still rises each day as though nothing had happened. Planet Earth is still blue. Its almost as though Death didn't exist!

What is surprising is the observation that a life ending is quite natural and normal. It is no great disaster. Every living thing will end its life at some stage. It is not really an event worth mentioning. Yet when it happens to us, or our loved ones then it is a matter for profound concern. I won't complete this now but I shall leave it here at the glaring contradiction between seeing so much death and destruction in World War 2 and it leaving almost no trace on the world, and the feeling that our own Death will be some cataclysmic event that will knock the stars out of the sky and cause Game Over or perhaps a celebration in Heaven.

Perhaps I will add one note that while I push toward a balanced and simple view of Death, this does not distract from the fact that in its reality it is a very traumatic experience for most, and thus always demands our deepest sympathies and support.

Death is certainly a mystery. One as great, deep and unfathomable as Life itself.

BBC Salaries do follow the market

image

BBC salaries follow a perfect inverse square root. This is what you’d expect from a pure free market. It seems unless they deviously had this is mind, they are simply following the market rates.

The take home from that this is that people compliaing about the salaries, are really complaining about Capitalism and Free Market valuation. Which interestingly is why the BBC was set up, and why it is wrong to force the BBC to start competing ina free market.

Load of nonsense isn’t it.

Sunday, 28 May 2017

Deep Ecology vs. Human Progress vs, Interconnectedness

An interesting article at least raising the central points of Human Ecology.

http://instituteforenergyresearch.org/analysis/philosophic-roots-paris-agreement-deep-ecology-vs-human-progress/

However like so much in the modern press it only does enough to raise and problematise an issue.

Deep Ecology is more than just a reaction to Capitalist Economics. It is based upon this idea of "inter connectedness" that is raised in the article. It is not a simple idea, but one of such deep importance that Western Civilisation can be characterised as having developed without it.

"Inter-connectedness" changes the view of reality from "bricks" to the "whole" wall. As can be seen it challenges the basis of the Western civilisation and science as composed from discrete things, atoms, things, individuals.

"Deep Ecology" is not discussing "Human vs Nature" as the article instructs its reader but rather looks at the "whole" picture of Human And Nature.

Ideas of "progress" have no place in this view. How can you progress from point A to point B when A and B are part of the whole. You can only progress from point A to point B when you are stuck at point A.

"Deep Ecology" is "deep".

Thursday, 11 May 2017

Anarchism, Alt-Right, Molyneux, Government, Freedom and where it is all Wrong

It is a very American thing not to trust the Government. The 2nd Amendment is justified by the fear of allowing an armed Government to exist unchallenged by a disarmed People. And, of course as with everything there is A Truth to this. But, it is not the Whole Truth. The key problem is this "straw man" thing called Government and People.

Politics is the process of creating divisive ideas and then working to get support for those divisions. The general process is to cause a division and then get people to support one side against the other. Classic divisions/dualisms we have seen are Roundheads/Cavaliers in English Civil War, Loyalists/Patriots in US Independence War, Communists/Capitalists in Cold War, Socialists/Imperialists in 18/19th century revolutions, Collectivist/Individualist or Group/Individual and we have Government/People.

What is Government? The extreme view is that it is a Closed group of super powerful people who are unified against the rest of Humanity. In the most extreme view they are not even Human themselves, perhaps Aliens like in the Carpenter film "They Live". Perhaps they are humans but are racially insular like Jews, perhaps they are like "us" but are just super powerful like Bilderberg or Illuminati. But in reality no "group" is really like this. And of course as soon as we take sides in a division like this we join a group and become collectivist ourselves. This is a logical problem with dualism itself.

I'm no expert on the widely read and deep thinking Stefan Molyneux, he certainly seems to have risen to prominence in the Anarchist movement, but from what I hear from supporters he must be misunderstood. Ayn Rand also runs into a similar problem with the concept of "group". Perhaps easier just to do a straight paragraph on that.

ANARCHISM AS I UNDERSTAND IT IS THE TRUTH. We are all always free to be whatever, whenever. Even if I am imprisoned by a powerful state I am still completely mentally free. I just have some superficial limitations to my physical movement and circumstances. Even in a perfect world I can get a stroke and get locked in syndrome. Has my "freedom" really been taken by the stroke or state? The TRUTH is always true and ANARCHISM is the truth that we are always free to chose. But we must accept the situation before we chose in any world. I may chose to save myself, but I need to know what I am saving myself from first else I will fail. The Anarchists are quite rightly reminding us this: WE MUST MAKE WISE CHOSES. It is the same message as all the Religions: we will be judged alone for what we do. Sin is ours and ours alone. We must therefore chose well. It is the foundation of Protestantism and Western ideas of Individuality and Democracy. It is an old and very important idea, simply being rehashed.

So far so good. So how has it gone wrong. The problem is that Alt-Right Anarchism has become politicised and has formed into Groups. A person who choses to work with government or socialism or communism or anything that is deemed "anti-anarchistic" is viewed as not-Anarchistic even if they have made a well reasoned decision. Yet the whole point of Anarchism is that we must make a choice for OURSELVES. Some people think that government is a good thing. As Anarchists they must chose that. So there is a form of Anarchism that has arisen that is deeply ANTI-ANARCHIC but believes it is true Anarchism. Ayn Rand and Stefan Molyneux seem to be the worst offenders here. The argument is that a member of a political party has lost all freedom to chose. But this isn't true. They chose whether to follow party line or risk their carriers (I'll deal more with compromise below).

Ayn Rand knew this problem. We must be extremely careful as ANARCHISTS not to become influenced by the group. Our choses must be OURS and not the GROUPS. Anarchists will argue that being a member of a political party will compromise ones choices and therefore cannot be allowed. But what if I chose compromise? Reality is actually all about compromise. I consider a stupidly simple example of a compromise we all make.

I want to go on holiday with my partner and children. This means I must  chose a time which is convenient with them and they with me. So we work together and pick a suitable date that works BEST. "Best" might not be "my" choice were I holidaying alone. But since I want to spend my holiday with my family the parameters change and I chose a different date that suits that wish. There is no absolute "right" answer. Anarachists seem to think there is a single "true" choice I will make when unhindered by "The Group". You cannot escape "the group" to make "free choices". Even if you buy something a group made that.

Obviously there are times when "The Group" seems dangerous. Hitler's Germany, Mao's China, Stalin's Russia, Pol Pot's Cambodia with the mass killing. How is it that a mass of people can be organised into a killing machine that terrorises the country like this. The panic answer is that people must realise for their own good not to organise into mass movements that can become unstoppable killing machines. But wait a second, this conclusion is based upon complete bias. The Allies were an even greater killing machine than the Axis powers. The American War of Independence where the American's fought off British rule and the English Civil war where we fought off the King were achieved by mass killing machines. War is about matching mass killing machine against mass killing machine. And the bigger killer wins. This is why the US currently spends more on weapons of mass destruction than any other country. They understand that "freedom" depends upon punching harder. So Anarchism must be saying if we want Peace then we must not organise into government, nations or even armies. There is great sense to the last one. I no one ever joined an army or picked up a gun then war is over. But we have the contradiction now: what to do with people who use the 2nd Amendment. If they think this is correct then as Anarchists we must respect their decision.

And so it goes for government. There is an argument that government is both unavoidable and essential. I may as well make that now.

How did government arise? There is the Feminist argument that Patriarchy is a conspiracy of men against women. But how did *that* arise? A few options: If they were never equal it is not a conspiracy. Men are just more powerful. If they were equal then women allowed men to conspire against them. Either way there was a due process. There was no "unfair" conspiracy. The anarchist argument is the latter. People were all equal and the mass allowed an elite to conspire against them. This is the call to arms for the mass to rise up against the elite. Ironically this is exactly the process of Socialist Revolution; an uprising that the elite are genuinely afraid of, which is one reason why Communism is so hated in the West. The problem with this view is that it is once again part of the truth. Some history to illustrate.

In Ancient Greece the highest level of organisation was the city state (Polis). An Anarchist utopia where every city state of a few thousand people had its own rules, customs, economics. Some were Oligarchies, some Democracies, Theocracies, Plutocracies.. the Greeks had names for all the ways of organising a city. One thing that was constant tho: there were hereditary families of great power that could travel freely between the city states and mess up the politics. Alcibiades is a famous character of noble background who had constant changing allegiances between Athens, Sparta and elsewhere. This money class had their good uses as well as bad. Athens used to tolerate them because they were forced to pay for the many public festivals that were held. But occasionally this relationship turned sour and the Aristos would rise up and take over. But before long power shifted and the Demos would wrestle back power and castrate the power of the elites. This constant battle between oligarchs and people is as old as Humanity.

In Britain we have one of the world's worst class systems that goes back to the invasion of the Island by the Normans. The Saxons were put into slavery and the Nobles developed the class system we have today. This is the typical way in which inequality is generated. The reward for victory in battle is supremacy and the vanquished are subjected to the power of victors. The series of victories that the US has enjoyed over the last 100 years means that many countries including Britain are now subjects of US power. Britain is only granted so much power to deal with trivial local matters. Important matters are decided in Washington. This kind of process is the key structure across all history.

On a small scale you see it with gangs. You are not in a gang. You get threatened so you either agree to join, or you go and join another gang that you think will support you. By doing this you make the gang stronger and you increase the problem for people who want to avoid gangs. England could have remained in defiance of the Normans, it could defy the Americans. But would it benefit or is it better just to accept the situation for now. But by doing this it must fight in US Led Wars and so makes the problem harder for countries that want to avoid being in the US Gang. This is the problem.

Power is the name of the game. Power exists. If I can't do something by myself I will ask a friend. Together we are stronger. But by doing this people who disagree with me must join forces also. This is the nature of things. It is called Politics. Even many fake Anarchists, as already said, have joined forces now against government and supporters of socialism and government etc. This process of actual political alignment is the process to watch, not the divisions in some intellectual argument.

Can we--like Ayn Rand and Molyneux argue--all join together to reject this "evil" tendency to gang up against each other? The problem is that this is really hard to define. I want to build an oil pipe line so I form a company and contract out skills and everything seems fine. That is until a bunch of people say that I am building on Spiritual Land. I have no idea what they are talking about, I never even thought of it. Suddenly my innocent collective of people bringing needed oil to market has become an offensive force against some people. Naturally they see us as a powerful force so they gang together to attack us. What did we do wrong? People must work together, and when they do this they will necessarily work against the interest of some people.

The solution is called Politics. This is where we don't try to kill off power (baby and bath water) we simply accept THERE IS SUCH A THING AS POWER, but we argue out who is going to get this power. Sometime it is around a table, sometime it is by force. These laws are bigger than any social organisation. Anarchists are RIGHT in that we must always remember around that table or in that army that we are making choses for ourselves and not to live unthinkingly. If we obey the orders of our Sergeant we do so willingly because we think it is best, and if it turns out he was an idiot and we made a mistake to trust him that is our responsibility. If we are told to shoot on protesters this is a decision we must take for ourselves. No one in Nuremberg should have been able to say they were "following orders". But obviously no army would operate with people disobeying orders so people joining an army need understand that the Army is fundamentally opposed to freedom of thought. This is something for their consciences to work out. No blog entry or you-tube channel can replace a person's conscience.

The problem for anarchists tho is that most people are too busy earning a living to really have the time to think everything through. Only the elite like Plato and Molyneux have the time. I call Molyneux elite because he lives through a You-tube channel discussing philosophy. Traditionally this was the lifestyle of highest elites. It is the main fault of Capitalism ironically-- the thing championed by the anarchists--that having to depend entirely upon ourselves for our income we have very little time for higher thought. Even the elite Aristotle argues free time is essential for politics. But historically Free-time has always been bought by slavery and elite power. The rise of Capitalism has destroyed politics and with that the elite have been able to take over in a way never seen before. In the Middle Ages, despite the Tudor propaganda, people were highly literate and fully engaged in politics. The Peasants Revolt led by Walter Tyler in 1381 gives some idea the political intelligence of the "peasant". Equally the ignorant mass of the French Revolution were actually an intelligent politically engaged peasantry. The irony is that the modern industrial worker has no political capability. We are the drones and zombies that Anarchism is riling against. But we are the product of industrialisation, mass production, machine labour, TV, internet and electronic progress. It is not a simple disease that the Anarchist argues against. It is not something with a quick fix. It is certainly not a political debate with sides.

What we are seeing is just the ancient battle of Good against Evil, or people's hearts, souls and consciences. Sadly it appears to me a political popularist dogmatic consciousness had crippled any meaning, intelligence and debate in the always present issue of how we live.

Friday, 3 March 2017

Proof that you can't have an Emulator (wrong)

This is wrong; you can have an Emulator (update 20/8/2025)

===

This is an odd recent result that makes no sense.

(1) List all one argument functions so that each function has a number.

f1(x) is the function on the 1st row where n=1
f2(x) is the function on the 2nd row where n=2
etc

let #f be the notation that gives the row number of the function so that #fn = n

(2) Suppose there is an emulator function E(#f,x) which takes the row number from (1) and provides the result that f(x) would provide so that:

E(#f,x) == f(x)

(3) For each particular value of x, lets call it 'a', in (2) there is a function Ea(n) such that:

Ea(#f) == E(#f,a) == f(a)

In other words for every value of x there is a corresponding function fx(n) which provides the result of the function fn(x) on x.

(4) Each Ea(x) if it exists must have a row number #Ea. Substituting in 3 gives

Ea(#Ea) == E(#Ea, a) == Ea(a)

Therefore:

#Ea = a

This means that the row position of each Emulator of functions on value a is 'a' itself.

This is clearly a problem already. The following is simply looking for a contradiction in this statement:

But f5 is the name we have for the function at row 5, and 'fa' for the function at row 'a'

So:

fa(x) == Ea(x) == fx(a)

The function at row a applied to x gives the same result as the function at row x applied to a.

This is clearly nonsense as the order of function listing at the start was quite arbitrary... but how do we prove it.

===

This is correct:

Ea(#Ea) == E(#Ea, a) == Ea(a)

And so:

Ea(#Ea) == Ea(a)

But what does this assure that #Ea = a.

if #Ea = b

Ea(b) == Ea(a)

For b = a there would need to be just one 'b' for which Ea(b) == Ea(a). However we cannot guarantee this. There nay be many numbers 'b' where Ea(b) == Ea(a).

===

What we can do however is use this construction to prove Kleene's Fixed Point Theorem. #TODO

US displaying its Imperialist credentials... yet again

Wanted to know the pattern of UN votes over Venezuela and then got into seeing if ChatGPT could see the obvious pattern of Imperialism here....