What is the deepest/most impactful statement that you have ever seen?

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The discussion centers around the mathematical expression e^(pi*i) + 1 = 0, which some participants find profoundly significant despite its complexity. The conversation touches on the nature of imaginary numbers, suggesting they are more applicable to real-world phenomena than traditional real numbers. Participants express a variety of philosophical reflections, including the importance of enjoying life rather than competing, and the significance of profound questions like "Where is everybody?" in the context of humanity's future. The dialogue shifts to the concept of randomness versus determinism, with participants debating whether true randomness exists in the universe. Some argue that randomness is a construct of human perception, while others assert that unpredictability does not negate the existence of randomness. The discussion emphasizes the need for empirical evidence in scientific discourse, contrasting philosophical arguments with scientific inquiry. Overall, the thread highlights the intersection of mathematics, philosophy, and science, showcasing diverse viewpoints on profound topics.
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For me:

e^(pi*i)+1=0 - I have no idea what it means, and I’m pretty sure no one else does, either, but it is the most profound thing that I have ever seen in my life.
 
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Physics news on Phys.org
I think you would be less impressed if you knew what it meant.
Welcome to these forums!
 
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spaceWizard9000 said:
For me:

e^(pi*i)+1=0 - I have no idea what it means, and I’m pretty sure no one else does, either, but it is the most profound thing that I have ever seen in my life.
It basically means take 1 on the number line, circle it around the origin 180 degrees counterclockwise and you get -1.

I further opine that "imaginary" numbers are real while "real" numbers are imaginary. "Imaginary" numbers are quite useful for describing real things like electrical circuits and rotations while the infinite precision of "real" numbers is a fantasy.
 
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Mine is "It's Alive!", which may ring true in a few years .
 
"Where is everybody?" ... for me a profound question when wondering about humanity's chance for a long-term presence in the universe.
 
The Batman Trilogy line “Why do we fall Bruce?”
 
robotkid786 said:
The Batman Trilogy line “Why do we fall Bruce?”
If we are going Batman, then: "Some men just want to watch the world burn" has to be up there
 
jackjack2025 said:
If we are going Batman, then: "Some men just want to watch the world burn" has to be up there
Now's their chance!
 
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PeroK said:
Now's their chance!
Big fan of Nolan films. So I will add

"You remind me of someone, a man I met in a half-remembered dream"
 
  • #10
An advice from a good friend of mine...
Used to be a school student who used to tear themselves apart trying to compete with others and do well on competitions, exams etc... but now just does physics because it's what they love :D

"Life is not about who does better and who does more. Just ENJOY"

e^(i pi) = -1 is pretty cool :)
 
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  • #11
Sorry, this thread needs to be paused for Moderation...
 
  • #12
Okay, it turns out that the OP is a sockpuppet of a banned member, so they are now gone. If you'all would like to continue this conversation, I'll unlock the thread now.
 
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  • #13
"I beseech you, in the bowels of Christ: Think it possible, you may be mistaken."

via Jacob Bronowski's 'The Ascent of Man', which I first saw 50 years ago, at the age of 16, and just gets getting more important, every, single, day.

(ref)
 
  • #14
OK, seems I missed we are doing movies too and not just statements with real meaning spoken by real people :wink:
But even if movies can add a deep music score and an engaging backstory to enhance the feeling of profoundness of movie statements I still can't think of any movie statement that beats the sense of long lasting actual profoundness I still get from science in general and "where is everybody" in particular.
 
  • #15
Nothing in Biology Makes Sense Except in the Light of Evolution.
From: evolutionary biologist Theodosius Dobzhansky.
 
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  • #16
TensorCalculus said:
An advice from a good friend of mine...
Used to be a school student who used to tear themselves apart trying to compete with others and do well on competitions, exams etc... but now just does physics because it's what they love :D

"Life is not about who does better and who does more. Just ENJOY"

e^(i pi) = -1 is pretty cool :)
One of these I heard somewhere and the other I made-up (I believe):
No matter how smart you are, there is always someone smarter.
No matter how stupid you may be, there is always someone more stupid.
 
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  • #17
One of many:

"The teaching is merely a vehicle to describe the truth. Don’t mistake it for the truth itself. A finger pointing at the moon is not the moon. The finger is needed to know where to look for the moon, but if you mistake the finger for the moon itself, you will never know the real moon." - Thich Nhat Hanh
 
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  • #18
The words of Franz Kafka from Der Prozess (The Trial), first published in 1925, exactly one hundred years ago, ring out a warning for us all:

Die Lüge wird zur Weltordnung gemacht. (The lie will become the new world order.)
 
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  • #19
"The hell of the living is not something that will be. If there is one, it is what is already here, the hell we live in every day, that we make by being together. There are two ways to scape suffering it. The first is easy for many: accept the hell, and become such a part of it that you can no longer see it.
The second is risky and demands constant vigilance and apprehension: seek and learn to recognize who and what, in the midst of hell, are not hell, then make them endure, give them space." (Italo Calvino)
 
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  • #20
Measure twice, cut once.
 
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  • #21
They hate us for our freedom.
 
  • #22
The film 'Deep Impact' was neither deep nor impactful.
 
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  • #23
“Learn the rules like a pro, so you can break them like an artist.”
Picasso
 
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  • #24
If you understand, things are just as they are. If you do not understand, things are just as they are.
 
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  • #25
I hope, when they die, cartoon characters have to answer for their sins.

Jack Handey, Deep Thoughts
 
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  • #26
One statement I really like is "feed the right wolf", though you would have to know the short tale behind it:

which-wolf-do-you-feed.webp


More: Two Wolves
 
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  • #27
berkeman said:
Sorry, this thread needs to be paused for Moderation...
Above the urinal at Uris Library:

"The future of America is in your hands"

There you go.....
 
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  • #28
Main character in a motion picture called "Running Brave", had a fictional or I guess non-fictional conversation between young athlete main character and coach. I am trying to do a search for the quote but can not find it. It went something like this:

Main character say:
If I am half indian and half white, and enter a race and win, which half of me won the race?
 
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  • #29
This one: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
 
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  • #30
“Whatever people say, there is right, there is wrong. There is nothing in between.”
- Hercule Poirot (Murder on the Orient Express)
 
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  • #31
FlorianR said:
This one: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
Whoever wrote that must have cleaned up at the bookmaker's!
 
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  • #32
"Life imitates art far more than art imitates life." Oscar Wilde
 
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  • #33
PeroK said:
Whoever wrote that must have cleaned up at the bookmaker's!
Actually no. Because it has a balancing counterpart that says: There is no evidence for determinism at all in the real world. determinism is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in...
 
  • #34
FlorianR said:
Actually no. Because it has a balancing counterpart that says: There is no evidence for determinism at all in the real world. determinism is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in...
That's called hedging one's bets!
 
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  • #35
FlorianR said:
This one: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
FlorianR said:
Actually no. Because it has a balancing counterpart that says: There is no evidence for determinism at all in the real world. determinism is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in...
What is the point of these statements other than vacuous wordplay?
 
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  • #36
Not wordplay at all. If you can think of one thing, that I can guess absolutely nothing about... I could not define a single aspect of it... Then you will have proved that randomness exists (but you can't). If you can setup a single experiment that you could absolutely guarantee the exact outcome off (100% sure). Then you would have proved determinism, (but you can't). You can only pick something that I could say few things about, but never nothing.. And you can setup an experiment and be 99.99% sure of the result, but never a 100%.
 
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  • #37
renormalize said:
What is the point of these statements other than vacuous wordplay?

FlorianR said:
Not wordplay at all. If you can think of one thing, that I can guess absolutely nothing about... I could not define a single aspect of it... Then you will have proved that randomness exists (but you can't). If you can setup a single experiment that you could absolutely guarantee the exact outcome off (100% sure). Then you would have proved determinism, (but you can't). You can only pick something that I could say few things about, but never nothing.. And you can setup an experiment and be 99.99% sure of the result, but never a 100%.
The topic title is unfocused, so the cooperative results are as seen, collection of many statements. Not really a bad topic. Expect a variety!
 
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  • #38
42.
 
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  • #39
FlorianR said:
This one: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
There is no problem with this post in the same way as there is no problem with the famous Albert Einstein’s quote “God does not play dice with the universe”.
 
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  • #40
Gavran said:
There is no problem with this post in the same way as there is no problem with the famous Albert Einstein’s quote “God does not play dice with the universe”.
Except that Einstein admits the randomness of dice! If there were no evidence of randomness, then a die would not even appear to be random.

It's like saying there is no evidence of variable weather. The length of each day and the seasons are predictable. The weather is not. That is evidence of randomness. Not proof, but evidence. Variable weather is not a construct of the human mind.

It seems to me that rationalism is in retreat even on PF. On the general threads we are proving to be unable to think in a rational, scientific way.

I'd also point out that Einstein had no business claiming to know the mind of God. If Einstein or anyone really knows the mind of God, then who is to argue with them?
 
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  • #41
Gavran said:
There is no problem with this post in the same way as there is no problem with the famous Albert Einstein’s quote “God does not play dice with the universe”.
It's true that macroscopically, randomness can be understood as a lack of information, for example, the outcome of a coin toss. You simply don't know all the information involved (which exists) and it will determine the outcome.

But not everything is the macroscopic regime. When we look at the universe in sufficient detail, it seems that randomness takes on a fundamental character.



"Of course it's a product of your imagination, Harry, but that doesn't mean it isn't real."

Albus Dumbledore
 
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  • #42
PeroK said:
Except that Einstein admits the randomness of dice! If there were no evidence of randomness, then a die would not even appear to be random.

It's like saying there is no evidence of variable weather. The length of each day and the seasons are predictable. The weather is not. That is evidence of randomness. Not proof, but evidence. Variable weather is not a construct of the human mind.

It seems to me that rationalism is in retreat even on PF. On the general threads we are proving to be unable to think in a rational, scientific way.

I'd also point out that Einstein had no business claiming to know the mind of God. If Einstein or anyone really knows the mind of God, then who is to argue with them?
You are conflating a lack of predictability by humans with randomness. Just because we cannot predict the outcome of a dice or coin-toss, doesn't make it random. A coin toss will always be either heads or tails (and in rare cases stay on it's side). A dice toss will always result in a number between 1 and 6. When I say that Randomness doesn't exist. I'm talking about something much more fundamental. Essentially, when something is "random" it means that we can predict NOTHING about it. And this is actually impossible. There is no "random" set that anybody can create. There is no way to create a random number either. Because the only way for anything to be truly random, is for it to have no past! Nothing to limit it's randomness. Nothing to shape it's probability. Since there can be absolutely nothing without a past (Nothing that is not shaped by what came before), nothing can be random. Nobody in history has ever created a random set or a random number, or a random outcome to anything. Therefor like I said: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
 
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  • #43
FlorianR said:
You are conflating a lack of predictability by humans with randomness.
You are conflating evidence with a conclusion. I never said a coin toss was random. I said it was evidence of randomness. Whether it's truly random is a conclusion based on assessing the evidence.

The point of science is to weigh the evidence. Whereas, you want to start with the conlusion and then dismiss all evidence to the contrary.
 
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  • #44
FlorianR said:
When I say that Randomness doesn't exist. I'm talking about something much more fundamental. Essentially, when something is "random" it means that we can predict NOTHING about it. And this is actually impossible. There is no "random" set that anybody can create. There is no way to create a random number either. Because the only way for anything to be truly random, is for it to have no past! Nothing to limit it's randomness. Nothing to shape it's probability. Since there can be absolutely nothing without a past (Nothing that is not shaped by what came before), nothing can be random. Nobody in history has ever created a random set or a random number, or a random outcome to anything. Therefor like I said: There is no evidence for randomness at all in the real world. Randomness is a made-up idea. It can exist in our minds as a concept, but it does not actually exist in the physical world we live in.
This is a science forum. It's not a philosophy forum. Science is based on empircal evidence; not a priori intellectual arguments.

You believe nothing is random because nothing can be random because you say nothing can be random. Okay, I understand your argument and I reject it. Things are not necessarily the case because you, using your infallible intellect, believe them to be the case.
 
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  • #45
A coin toss is neither random, nor evidence of randomness. Like I said: Nobody in history has ever produced any evidence for the existence of randomness. The burden of proof is not on the person who says something doesn't exist. It's on the person(s) who claim(s) it exists. People have conflated unpredictability by humans, with randomness. Essentially conflating very low probabilities of predictability with "randomness". But actual randomness is something altogether different (0% predictability). It has been an assumption that it exists, but it has never actually been proven to exist. Really :)! All you would need to do is: Create a random set, A random number, or any experiment that will yield a random result. But nobody has ever done this, and nobody ever will, because it is actually impossible. I will go a step further and say that, in actuality, instead of randomness and determinism (Which both do not exist in reality), there are two other, very different, but clearly definable extremes which do exist, and which I would be happy to prove for you. It's easy to do, and I will stack those two against randomness and determinism any day of the week.
 
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  • #46
PeroK said:
This is a science forum. It's not a philosophy forum. Science is based on empircal evidence; not a priori intellectual arguments.

You believe nothing is random because nothing can be random because you say nothing can be random. Okay, I understand your argument and I reject it. Things are not necessarily the case because you, using your infallible intellect, believe them to be the case.
If randomness exists or not, is not a philosophical question. It is a science question. And it is a provable statement.
 
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  • #47
If you would like to have a technical discussion about randomness, please do so in the technical section and not in the general discussion section.

As is always the case, all posts in the technical sections must be consistent with the professional scientific literature. There are differences of opinion in the literature on this topic, so debate is possible but must be kept within the bounds of the professional scientific literature.
 
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