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But there is always 1 sequence of length N with no heads. There are infinitely many of them … so 2 must show up more than once, right? But say we are talking about states of matter in a finite region. This would be modeled by using finitely many numbers, 1, 2, 3, say, and making an infinite list. If you have finitely many states and infinitely many trials, all you can say for sure is that at least one state must reappear infinitely many times.
There are some things that will be impossible because the infinity of possible things is infinitely greater than the infinity of the size or length of the universe. An infinite universe means that there must be other life sustaining planets, and given enough space and time, there should be another planet similar to the earth.
That bizarre seems to be probabilities at infinity, given enough space and time, if you could be possible once, then you could be possible many, infinite times.
The number of possible events is infinite so it is practically impossible for any particular event to happen twice exactly in the same way. If we have an infinite universe and finite number of possible events, we can be sure that any particular event will happen somewhere sometimes. But the number of possible events is not finite.
Our reality is only determined by a chemical reaction in our brains based on our senses and years of evolution as human beings. What we perceive as possibilities may not even be real. If humans never came to be, then perhaps no one would ever imagine a unicorn and it would even be an option as a possibility.
But again they retreat to the comic book multiverse. Based on the distribution, the most probable future is defined. You should buy it. Bush is the president of the USA in that world". July 27, at 3: The rest of the paper consists of five discussion groups. Shawn E Dorney says:
One second after the Big Bang the Universe occupied a given amount of space surrounded by nothingness. At that point the Universe was measurable or finite, but expanding. Although we are incapable of comprehending its capacity today, it is still finite.
Our inability to comprehend its size has given us license to label it as being infinite. Then consider that if infinite means infinite we must concede that there are an infinite number of Big Bangs in various stages taking place throughout the infinite void. Some may expand and contract cyclically, while others may continue to expand and overlap others. If we are to loosely use the term infinite then yes, Samantha, there is someone out there who is exactly like you riding an unicorn off into the sunset s … an infinite number of times. The probability of an event is a function of what you know about the event, or what you choose to know.
For example, life expectancy of humans is different from the life expectancy of males vs. For any given person, it depends on what you know, or choose to know. You could, for example, ask what the life expectancy is of people living in a certain country. A more extreme case is having cancer. What are the odds that any give person dies?
The probability of any given person dying of this disease now depends on what you know! If you know a person has this agent in her blood, you will calculate different odds. It depends on what you know. If you know a person just jumped out of an airplane, you would calculate a rather different life expectancy than for the general population.
But you get different odds if you ask how many people will die before they reach There are only two situations I can think of where there are unique objective odds: For quantum processes, the exact odds are calculable by the laws of quantum mechanics. Simple games of chance will have only one reasonably possible set of outcomes because only one ensemble of possible events is easy enough to work with.
OK, a third possibility: The probability of a human being able to jump to the moon is zero. Just the fact that the question has been asked is trully unbelievable. Ive never really studied this before but I feel I have a better hold on the fact of infinity. No number can be placed on it, and no difinitive word can discribe it. Everything is possible and is being possible right now from word to word forever.
Greay thing about itbis it makes us small but also puts above evrything else. We live in our own little bubble and will only see and feel this untillwe die in this life and become part of the next. But if we werent part of the whole which is another senario the whole wouldnt work. I keep going back and reading other post and just cant believe what Im reading. Here is is a mindbender for you.
Look at the a key and understand there is an infinite amount of times your finger has touched that key. An infinite number of timez you thought about touching it. An infinite time it has happened going to happen and is happaning at the time you did it. No number or word for it. Well yes there is. I tried my best in my last comment to explain not what I believe but what I know. I am going to give one example of that knowledge. Think of one blood cell in your body with the understanding that there are an infinite amount of infinite infinitys and come up with a scientific equation for that. Anything is and is happening right now.
Even the electrical sparks that are flying through your mind as you read this have an infinite numbers of infinities in them. We are tought begining to end our whole human lives and dont even realize we are oart of the whole. I am really starting to understand this more every day. What power there must be inside this. Sean you ard absolutly right. There are infinitys where hmans never came to be thats the fun part of it.
Of course there are also infinities where Darth Vadar is as real as we are here. Sounds crazy but it is true. Mutiple universes, how small a thought. In an infinite universe it is mandatory for an event to continue infinite number of times. Now infinite means endless and since possibilities are finite it means that either every event has to happen or there is a cycle that will continue before a particular possibility takes place. So in a way there are finite cycles possible the probability of that cycle happening is finite. If we give no weightage then it is entirely impossible to have an evnt to have zero probability.
It is bound to happen. So either only one event takes place or every event takes place. Stan i would lke to say that had there been infinite possibility the probability of one event would be exactly zero. After the heat death of the universe will anything ever happen again? I have been experiencing happenings that I have already lived, truely. No matter whether back or forwards of where I am situated currently as in home or work life context. Does this mean there are two universes and due to my both acute and broader understanding of places and times and events mean I can be in tune with both of these?
Nothing major happens, but I would say one small change in any specific seems to put that area to rest. Other than that its becomes very boring watching it unfold again. At first I thought I may not have completed something the right way, a kind of second chance if you like. Sounds all to common a problem I realise. If I may continue for a moment Moderator: Daily life continues along eat sleep wake, but I also see things happening or not for others also, that have absolutely nothing to do with my sphere, or entanglements whatsoever howsoever.
I can tell you the exact things that I have purchased recently, and how far I got with the item in the previous time frame. Did I have too much on my plate that time and was somehow transfered to complete at a later date? A sort of kindness to the here and now self via sorting through an entirety consciousness phenomena? Would it be okay to go as far as saying some entity organised this or is even writing this rather mad of a person?
To dispute deja vu might be a way to relieve plain truth, or not.
And indeed, what if something comes around twice, for real. How would we go about proving it did happen twice, certainly a first time, first. If we take a photo of something, we store it on a hard drive, time goes by and new events take place, but then we take a photo of something, that you absolutely know and remember you have it on the hardrive but cannot be bothered to go and check. Or the very specific example I had some years ago of throwing out a magazine picture, only to see it entirely as a brand new never before published page that very next day.
It felt incredible, but it did happen. Something metaphysical if you so like?
One could almost swear all things have come together for the event simply by overwhelming power of an almighty wish in the background of our self. I had no real interest in that story, but there it was out in front of my eyes. I return to, how can find out its been twice for real? Do we want or need two of each thing? We can only see so far with our human minds and instruments inward or outward. We live in a little bubble that we comprehend as beginning and end from birth till death.
I feel lucky to have an opportunity to live within that bubble. If we were to ever understand infinity I believe we will become gods. Anybody ever watch Star Trek next generation? If you truely beleive that the universe is infinate than there is a infinate amount of chances for anything to happen somewhere. I dont mean to say that aliens are going to land on earth some day because it is a matter of when, because the way things unfolded in our spec of wherever are the way they are and thats that.
There have been several comments here to the effect that the universe will last forever. Likewise the universe was said by the ancient Vedic seers of India 4 thousand years ago, to go through periods of rise and fall, or phases of creation and destruction if you like, with a fresh universe being created after the dissolution of the previous one. And given that those ancient seers of India correctly estimated the age of the universe thousands of years ago, they could well be correct in this instance too.
It is the only religion in which the time scales correspond to those of modern scientific cosmology. Longer than the age of the Earth or the Sun and about half the time since the Big Bang. An eternal universe in that it not having a beginning. Every possibility would already be true. And as we currently understand and observe the universe would be as it is.
The universe being comprised of everything. And everything not being eternal too. In a universe with a near infinite number of stars the most improbable things can happen. The most interesting being pure bliss and the absence of suffering. Every life that ever lived could be reanimated and returned.
Everything has already happened and nothing can happen that has not already happened. There is no way that infinite does not exist , because it would mean that there is nothingness, but nothingness can not exist in real or not real world. Now infinite can not exist in real world as we think of it, so it leaves us to face that nothing is real in a way we think it is and now we are back to the fact that everything is possible, but we are just one of the possibilities which again are infinite.
Think of it as rule set that is given to our reality, fact that there are infinite possibilities does not mean that we can ignore our rule set. What is interesting is , will we ever be able to connect to other realities trough this and most importantly, what are we in all of this.
That's how probability can exist even in a deterministic universe. However, person A is not 'probably" a woman or a man it is most definitely one or the other. These are questions not usually asked because possibility is so Set theory assumes possibility exists to describe which sets are possible.
I like to use the Sun as an example. Imagine for a moment if you will, that we have unlimited computing powers and speed. Then input every bit of information about the Sun into it. This includes its exact size, weight, what its made of, including every particle. The information that will be input into our computer about the Sun will be beyond our human capabilities however, if we could actually input every bit of information including dust particles falling from space we would be able to calculate everything that the Sun does.
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