Weber's Law - Numberphile
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- Опубліковано 3 чер 2024
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A little extra bit from this interview: • Weber's Law (extra foo...
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"Hannah is available to film weddings and corporate events"
I know XD
I saw that, lost it, and had to rewind :P
I love Brady's snark
It's Hannah's version of a Parker square.
My sides hurt from laughing from that 😂
I never realized how good of a cameraman Brady is until now.
True lol
It's the kind of job that if you don't notice it the person is doing their job right. Same with editing, audio, etc.
best he stay on that side of it too.
As an IT engineer I'd say the fact you're watching this video and commenting on it without giving it a second thought is a prime example of things that "just work" and are taken for granted, somewhere there are a whole bunch of people making youtube work and keeping it working everyday and the only time people notice them is when it doesn't work.
Chuck Fickens wait what
Whether you get attacked by 1 or 2 lions is a huge difference but when it's 20 or 21 the difference doesn't matter that much anymore...
How many bullet holes did the victim have? 1? 2? precise numbers. 40? couple dozen?
Actually, one or two doesn't matter that much if you're unarmed.
The direct quote from VSauce is actually 100 vs. 101
@@bigbeans202 actually it's 96 vs 97
lol
"Is what you're filming vaguely usable?" 😂
0:58 How much of Brady is out of frame before you can tell the difference?
You could probably test for that. It's like CGPGrey's video on death. I did not realise the screen was being decayed until it was almost covered.
to be honest, at that part it took me a little while to realize he was even in the frame.
Dummy Variable, best name ever. :)
@John Smith which one?
John Smith, I didn’t even realize it until I rewatched it after reading your comment.
I almost spit my tea on my keyboard when the notice appeared about “Available to film weddings...” appeared! Best laugh I’ve had all week! Thanks!
The application of Weber's Law to the perception of the passage of time as one ages is a profound insight. Thank you.
How is it after 3yrs?
@@ChemEDan Accelerating :)
It's not profound at all. When you are 2, 1 year is 50%of your life. When you are 10, 1 year is only 10% of your life. When you are my age, one year is an insignificant amount of my life.
@@user-fq3ds3oq3j I don't think that just because something seems obvious in retrospect, it's not profound. It's been said that simplicity is the hallmark of brilliance, and this seems to me to be a perfect example of that.
@@AJoe-ze6goWell said!
yeah, audio volume sliders also use a log10 in order to work nicely
if you keep them linear they have way too massive perceived gain steps in the bottom, and nearly nothing on the top.
decibels = 20 * log10(amplitude)
Just a note -- the decibel unit is not an absolute unit. Your equation is technically wrong because it needs a reference point. Your equation is referring to decibels-acoustic, which has some commonly-agreed-upon reference point. The equation for decibels is different. The actual dB equation should be
Bels = log10 ( p / pREF ) --> deciBels = 10 log10 ( p / pREF )
... although there are further nitpicks to be made about p in this one.
I think this applies to numbers as well. That's why people perceive 2 to be quite a bit larger than 1 and but 1000 is not much larger than 999
2 of anything. 2 people, 2 apples etc
When studying aboriginal cultures when asked how much larger a 2 is then 1 and 3 an 2 etc they draw a logarithmic curve, so do children before they've been taught that it's linear
connorp3030 interesting, do you have any source on the article if you don't mind me asking
Yep, it's been shown that people will more readily buy something priced at $99.99 rather than at $100.00.
Martin Conrad of course, it is 900 dollar cheaper. ;)
I think a good example of how marketing uses this is that percentage sales are used for cheap products, whereas raw numbers are used for large ones.
They'll say you're saving up to $3000 dollars on a car, but you're getting 20% off your chocolate bar. That's because usually in the former case, the percentage is comparably small ;)
Her accent is perfect. I would love to here an audio book with her voice. Amazing video by the way as always.
You do? Even as a Brit, I find it quite posh ;)
Sybilantly distracting - is there a logarithmic scale involved in how much hissy s’s jar like scratching nails down a blackboard? Why does one person track sybilance as an annoyance while someone else doesn’t at all and describes the overall utterance as perfect?
@@fcturner really? i mean to an american its definitely on the posh end, but not *extremely* so, i wouldnt say
@@fcturner You are perhaps just a tad poor
@@williamwoods477 Not really, PhD just like Hannah Fry :)
Hannah is available to film ceiling events
if you have invited any gravity flipper I would have my next bimonthly paintball fest in the ceiling......
and Hannah can film it.
Ceiling and vents*
FLOOR GANG!!!
Ceiling gang cringe
Ceiling Cat wants to know Hannah's location.
Really makes one appreciate Brady's expert level filming to see it done by an amateur for a few seconds. Great video :)
I think the best known example of this phenomenon is the decibel scale and hearing.
GetMeThere1 the decibel scale is logarithmic, so 1db difference should always feel the same
er....I thought that was my point.
i wonder this is psychological or our sensors work this way
Both, I'm sure. Look at the cochlea for the ear, it's a spiral. Spirals are inherently mathematically logarithmic objects in a continuous form.
Yeah in my hunt for finding a perfect equalizer setting to get more bass out of the music, I did find that simply amplifying bass frequencies didn't quite do the trick. What mattered is how much difference was there between the bass frequency and treble frequency. In a way, I was feeling more bass (there's no such thing as too much bass XD) when I lowered other frequencies than when i was simply amplifying bass frequencies.
I'm a simple man. I see Hannah Fry, I click, I like.
Twinsen!
Oh yes! Always got time for a bit of Fry...
Sebastian Elytron team
Agreed :-)
Yep!
I get very excited when I see a new Hannah Fry video!
I always say how a year feels like such a long time when you're 5 years old vs. when you're 20 because when you're 5, a year is 1/5 of your life, whereas when you're 20, a year is 1/20 of your life, so it feels shorter. Didn't know there was a term for this, though- cool!
emmabee14 Yes that is how I have always seen it
Actually, this probably isn't the reason. Perception of the passage of time is very closely related to the formation of new memories. This is why it feels like time passes slowly when you're in danger: you're remembering a lot of what happened, so time feels slow. Conversely, as you get older, you're not forming as many new memories because you're not having as many new experiences, so time feels like it's going faster. Your brain's basically saying, "I've not formed many new memories since last year, so last year can't have been very long ago."
@@beeble2003 Ooh that makes a lot of sense!
@@beeble2003 Yeah I actually read an article maybe a couple of years ago showing that the reason why the time appears to "shrink" as you get old, is because when you are younger you can actually process visual information faster and better. Thus you form more memories and consequently, as you said, times seems to go by slower. And when we get older, our ability to process visual information reduces and consequently times go by faster.
Don't really quote me on that though. I am just paraphrasing what I thinks was in the article that I read a couple of years ago haha.
@@beeble2003 Now I know why the pandemic doesn't feel like it's already 1 and a half years long!
This episode was really worth the weight
why
There's always somebody somewhere who has to do it.
ayyyyyy
Toma tu puto like
+
And it correlates with a study done on tribes which showed that people without education tend to naturally place numbers logarithmically on a line (at least a good amount of them do)
It's a very interesting study you should check it out
Pastek
It would help if I knew the name of the paper, or the names of anyone involved or really anything useful to put in a search engine lol
Just intuitively you'd put 1,000,000 closer to 100,000 then like, 10,000 to 1 that's not the case.
what you're describing would be a log scale^^
No not really, there wouldn't be any point to it if the line was already scaled, there were just the numbers 1 and 10
I searched "uneducated tribes logarithm" and probably found your study: "Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures"
Yay ! New Hannah Fry featuring videos ! Great ! Also I wanted to mention the Mel-scale which is a scale where each step in pitch is "judged" to be equivalent but when you compare it to the actual frequency scale you can see it's a logarithm.
Maybe I just got behind with the subscription feed and I missed too many videos, but I feel this is almost a second golden age of Number file. The last few videos have been just amazing!
Love your channel, keep doing great stuff!
I immediately starting thinking about fractional and percental differences vs absolute differences. Sure 20g is 20g. But in the first example it is 20% and in the second it is only 10%. It is a matter of tolerance.
WakarimasenKa isn't that the point?
It is a different way of saying the same thing. But they didnt make that point in the video.
u r nt rigt, tyler s rigt
lel
This is exactly what they're talking about, the fact that perception tends to inherently logarithmically transform quantities. Linear reasoning is very difficult except in small quantities, and requires a lot of training to do.
This applies to many things, including most of our senses, but not to everything. We don't experience differences in pressure logarithmically, for instance (that is, we could tolerate a 100 kPa atmosphere or a 90 kPa atmosphere, but we could not tolerate the winds from a 105 kPa atmosphere meeting a 100 kPa atmosphere, because a 5 kPa difference in pressure is too high). In many cases, our natural tendency to treat situations logarithmically is not rational. For example, we may spend a few extra minutes to save $3 on gas, but we will not spend a few extra hours to save $300 on a house, even though you would be getting more for your money in that case. It's absolutely something worth pointing out.
"You take a penny, then you take another penny... you've double your money but you still only got 2 pennies" -Ross Perot
This was amaaaazing ! So much cool stuff packed in there :'D
Hannah is great at explaining these things and making them sound relevant,
The graph is so simple and beautiful. Very easy to grasp as well.
Hannah Fry ASMR
Yes please. HB pencil on a 30 lb paper, and all the formulas :)
Educational asmr
Cue discussion of the decibel.
This is AMAZING ! Thanks so much for this episode :D
This is the most interesting thing I have heard all week; well done!
Well this confirmed many things that I'd known for years but never had a name for. Thanks!
This explains so much. Not even kidding. A lot of these videos are just fun, like, "oh how would you evenly divide a ham sandwich" or "in an infinite vineyard of evenly spaced trees how many trees could you see" which is great and interesting, but this one actually fills in holes in the logic I had built in my mind over the years I've lived.
Thank you Hannah.
I'm in marketing and product development. We used an anecdote to help explain this phenomena and use as a cautionary tale. The scenario is a cost savings for a chocolate chip cookie (or biscuit for you).
A cookie had around 20 chips. You do testing and find that people have a hard time perceiving the difference between 19 chips and 20 chips. So you remove some chocolate and save production costs. The next year we look to save money again. "People have a hard time distinguishing 18 chips from 19 chips in a biscuit". At this point I'd draw a plot with error bars and such.
Fast forward a few years and: it's very easy for people to discern 1 vs 2 chocolate chips. Of course they would have noticed far earlier!
As I mentioned, we used this as a cautionary tale to help marketers understand how changes to a product might be perceived and what might be valid and important points of reference that a consumer may use.
To follow your chocolate bar example - they may not notice a 10% reduction, but they will likely notice when the bar is significantly smaller in their hand than in the past (hand is a constant).
Terrific show!
This has become my favorite channel on YT!
Thank you for the existential crisis.
really great episode! I always struggled to explain my friends the perception of aging, but now i can show them this video :)
Clear as ever Hannah. It's the enthusiasm that comes over.! Tks
excellent video, congrats for the channel and Hannah
As an audio engineer this is very fascinating. You should do some videos about the maths of sound!
Same here! I am studying sound engineering now it's making sense for me, for why do they use db instead of just linear numbers to refer spl
I wonder what the equation is for determining the ratio of comments on a Numberphile video featuring either Hannah Fry or Holly Krieger that are about the women or the math?
Can't it be both? :-D
There are so many creepy dudes in this comment section, like just let the women teach math without catcalling
@@gramptbeele1966 What is math?
I read a similar article about how this applies to dentistry: you can only make a certain size hole to fill in cavities, regardless of the tooth. But dentists working on larger teeth sometimes make larger holes, because of this inability to perceive absolute values instead of relative ones
Interesting video, I wondered about time perception as I get older and thought it was related to the number of years that had passed, but didn't know there was some research that showed it.
When my wife and I went back to our hometown after being away for 30 years, we both felt the town was much smaller. But then I suggested that when we were young, we walked or rode our bike's everywhere, we didn't have cars until just before we left town. Our perception of 'distance' was really a perception of 'time'. (Although our parents drove us around, I guess we didn't pay as much attention to the time/distance as when we were doing it ourselves.) After watching this video, I wonder that since we now regularly drive for many miles (our hometown was only about 5 miles across) on a regular basis, be it commuting or vacationing, a few miles traveled really doesn't seem like much anymore. I've also taken car trips of thousands of miles at least 12 times as an adult.
I would like to suggest that life doesn't follow an algorithm .. algorithms define characteristics of things around us :-)
Yay! More Hannah Fry! :D
Always upvote Hannah Fry
Absolutely fascinating. I feel like I understood this intuitively before, but I love putting names and numbers to things
I have seen this exact pattern with traditional metronome markings. Usually beginning at 36, they increment by 2 until you reach 60, then by 3 until 72, and by 4 until 120, at which point the increments go by 6, and then 8. There are always 16 steps between any given tempo and double that tempo.
I still lose to accents and freckles.
creeps
ps: metoo
r/creepyasterisks
More Human Than Human How do you figure
Oh yes! Always got time for a bit of Fry...
So many people responding that it is obvious that the difference between1 and 2 is more noticeable than 10001 and 10002 miss the point. The point was not that the former is more noticeable than the latter.. The point was that this phenomenon always follows the same basic arithmological structure that can be described mathematically. Or, in other words, this aspect of human psychology can be modeled mathematically. The notion that mathematics can be used to describe such aspects of our subjective experience of reality is far from obvious.
Dux D , very well said!
...and should point to the conclusion that we do indeed, live in a computer generated reality.
Straight to the favorites, this kind of stuff is gold.
This is incredible for psychology, philosophy, and many other things. What an insightful find!!
Awesome! I remember watching something about how some tribes not exposed to "our" number systems count logarithmically--that they have numbers for 1, 2, 3, but then skip to 5, and then to 9 (or whatever). Which really speaks to this idea...
Yay more Hannah!
OMG this is so cool! I love that explanation for why years just seem to fly by as you get older!!
This also made me think of Beer's Law and how we use absorbance as the log of transmittance, it shows up in physical properties as well
This explains the myth of shaved beards growing faster. It's effective just saying we can perceive difference as a percentage much better than absolutes (in this instance 20%).
I'M GUESSING you can tell a 10% difference like 100g vs 110g about the same as 1kg vs 1.1kg. But 1kg vs 1.01kg.....well that's only 1%.
That's why when I look at difference I always do it as a percentage first and consider
proud moment, i came up with the "years" theory when i was about 25 when i asked myself why it seemed to speed up so much and concluded it could only be a classic case of "absolute vs relative" values.
There is also an alternative explanation to this, that there are less novel experiences when we get older, so Time actually slows down because there is more neural activity. if time is only as long as we perceive it is, then it ultimately boils down to neural activity. That is why when you drive to a certain location, travel time always seems faster when you return, simply because your brain is processing less information from the trip because it already knows what its seeing.
Wow, I've heard of this concept before but never knew there was a mathematical law for it. Im going to start thinking about ways to apply this in other areas of life.
Also, I absolutely love Dr. Fry! Her topics are always so fun and she is so charasmatic. Can't wait for more videos with her in it.
You should look up psychophysics - an area of psychology that looks at these sorts of issues in depth
awesome video thank you so much for your work!
I'm going to talk about logs with my class today in 45 minutes. I will certainly be referencing this video when I'm trying to explain it to them.
Hi guys is it possible to get a name of this paper about judges and sentencing?
Amazing!!!
This thing really blew my mind.
This, as mentioned, is defininately relevant to sound perception. The variable resistors (pots) used to control volume (or whatever other touch app nowadays) usually have a logarithmic amount of volume change for a given rotation or swipe of the control. Each click or dial setting or whatever may represent a 10x increase in actual sound output. It is well known that "11" is much louder than "10"! :-)
well, when i think about it, even love is logarithmic. When you first meet your lover, every date is exciting and stuff, but after a year or two such dates get "normal"...
So to slow time down you need to have new experiences everyday
or have an amnesia :D
But novelty is stimulating so the time will seem to pass more quickly... unless those new things happen to be either unpleasant or horrifying.
I also noticed, in RPG-games where players level up their character or creature-team to become stronger in fight, the status walues often grow by bigger and bigger amounts each levelup, the higher the level already is.
It prevents from feeling, that level-ups are worthless at wery high levels.
This answers a lot of questions I had for decades!
Even if Weber's relationship seems obvious to you, it is still critically important because it implies that most people are making suboptimal decisions most of the time.
Weber's relationship implies that a person perceives a price doubling for eggs as the same as a price doubling for their rent. This is clearly irrational. We need to study and understand these failures of reasoning in order to make better decisions at personal, professional, and policy levels.
Surely the law actually implies that they would more negatively perceive a doubling of the price of eggs than a doubling of their rent? Or perhaps we should swap out rent for, say, a telly or something (because rent already has extra negative perception around it than eggs before any numbers get changed). If they perceived them as the same the perception would be linear rather than logarythmic.
Eggs: $1
TV: $1000
Now imagine an increase in price.
Eggs: $2
TV: $1001
If our perception of cost were linear, then we would be equally unhappy with both price increases. After all, the extra dollar does not know whether it is being saved on eggs or on the TV: a dollar is a dollar.
But that is not the case. We see the eggs doubling in price, while it "feels like" the price of the TV barely creeps up. Under the logarithmic relationship of perception, in order to feel an equivalent sadness, the price of the TV would need to increase to $2000. We do not perceive the change's magnitude, but rather the change's scale.
This failure in rational decision making is captured by Weber's relationship.
Except it isn't a failure. You aren't rational. Literally!
1000 eggs: 1 TV
1 TV: 1000 eggs.
That's how money works.
BTW average lifespan of a TV is six years and average consumation of eggs over six years isn't far away from a TV's price which is a nice coincidence and by the same time destroying irrational ideas regarding prices and rationality.
heyandy x It would be terrible decision making to use linearity, much in the same way that it is terrible economist analysis to determine income rates by means and not by medians. Also, no, according to Weber’s law, the perception in difference between the doubling in rent is definitely not the same as the doubling in egg prices. dP/P = k dT, and if the boundaries of integration are T = T1 and T = 2T1, then ln P(2T1)/P(T1) = k(T1)
This was an outstanding clip thanks! This helps me with spin and dimensionality in classical and quantum physics.
And Hannah is very easy on the eyes!
Christ
Like always very enjoyable and educational video. Thanks
This is truly fascinating, thx! I will just point out a little flaw of your videos in general: I couldn't find this looking for "numberphile logarithm"...
What happens when someone is on a deserted island and time seems to be slower.
thats called boredom
titaniumonkey it might seem slower at first with comparatively few things to do but then over time it also might seem to go faster because of the monotony and increasing number of repetitions of whatever there is to do.
Actually that might also be due to Weber's Law because a day seems much longer compared to the time you are on that deserted island, than compared to the time you have been living a normal live. So a day seems to be longer on the deserted island.
Of course there are other psychological effects with time perception as well.
No stress, no hassles, no other people, life is great!
... or when you're doing something exciting and time just flies by.
So is that why I can always tell if someone shorted me on an eighth just by holding it?🤣
Same for kissing, My first kiss had a massive response - my knees went week, my head was spinning, etc ... but years later a kiss, while still so special and beautiful, does not quote have the same massive impact.
Wow!!! You explained that so well!!! I'm terrible at math and just came upon Weber's Law in Steven Pinker's book "The Better Angels of Our Nature" (pg. 220) and wanted to know more. How fascinating! Sure it is explained by logarithmic thinking in a mathematical way but what a strange hidden human sense! Thank you for this fabulous video.
Is this not just a percent change (100-120 is 20% and 200-220 is 10%)
It probably is.
It is more complicated than this. How so? Because the percent error between 10 and 9 is 10%, but the percent error between 10^10 and 10^9 is 90%; however, the absolute difference in the latter case is MUCH larger and the ratio between the two numbers is the same in the second case as in the first, which underlined the fact that the perception of differences is not a rational function, but an actual logarithm.
Yes, I believe the log is describing the rate at which a constant change on any given value would yield smaller ratios as the initial value increases.
@@angelmendez-rivera351 How ratio between 9 and 10 is the same as between 10^9 and 10^10 ? According to my mental mathematical calculations:
9 divided by 10 is simply 9/10 or 0.9. When 10^9 / 10^10 = 1/10 or 0.1.
Can you explain what do you mean by saying 'ratio', because I struggle to find any other meaning of this word than what I have just did.
Sigma 1 I admit I made mistake. I definitely meant to use a different word other than "ratio" in that particular sentence, but as this was 4 months ago, I have no clue what is it that I truly meant to say. I have to rethink it.
finally hannah fry!
Fascinating applications of Weber's law to our thinking. I would have appreciated bringing it up to date. Weber's student Gustav Fechner revised it a bit, and founded the field of psychophysics. The current iteration is known as Stevens' power law after the psychophysicist, S. S. Stevens. It is now quite refined in terms of different senses and different tasks involving them. From this video the law seems quite robust in possible applications to cognitive and social psychology.
Really nice video about life and mathematics. Thank you
Oh, I see. So We need the courage when we start a new thing.
Exactly, because the slope of the curve is very steep in the beginning. That's why we tend to stay on the same path and reject change, because the slope gets more and more flat the further you go that path, so it takes less effort to move forward even more.
wery well pointed out...
the same with relationships...
Not even sure if we need courage. After the steep beginning, it evens out a lot. We just need the courage to start a new... oh I see it now (sorry I'm drunk).
Oooh...
I'm sure someone has mentioned it in the comments already, but in case someone hasn't: there is a behavioral economics model called Hyperbolic Discounting that is precisely Weber's Law applied to how people's preferences adapt with respect to time. This law shows up EVERYWHERE!!!
Hrm, a lot of stuff I came up with myself through my life. Glad to see others have researched it in the past
I never knew this was called Weber's Law or that someone had to figure it out because it seems obvious in some contexts such as the weights and age (and the age differences in couples when one person is still, say, in their 20s and the other is a decade or two older, vs. when they both get to be senior in age). But that's fascinating that it's used in marketing and prison sentences! One of the areas I'd thought about years ago and wondered if it applied is the concept of vanishing points. Up close, the difference between where two things are is a larger percentage of the total radius you can see. But far away, more things fit into your field of view, so the difference between those same parallel things (like train tracks leading away) makes up an ever-smaller percentage of the total number of things observed. Is that the same thing going on? And I didn't realize this is logarithmic. That's awesome!
That took dark turn at the end.
At the end, Hannah seems to imply that giving jail sentences logarithmically is a bad thing because "3 months is 3 months". But the point of jail isn't to quarantine individuals for a certain amount of time, but rather to reform them, correct? So if a 20 year term and a 20 year and 3 month term both FEEL like the same amount of time, then aren't they essentially the same punishment? Maybe prison terms make you feel time differently than you normal do?
Ryan Wilson Your last sentence nails it, but also, you did miss an important point: a lot of people in the West (well, mostly just the U.S.A, but the U.S.A comprises a very significant percentage of what is called “the West”) do think of prison as quarantining process, and they do not agree with using the system as a reform.
this is really fascinating and now a lot of things make a lot more sense
I discovered this law for myself when I was a student... long time ago. I didn't knew by this time that it has a name.
Hannah talks about logarithmic experience and the prices of some goods. I think that such or similar law applies to perceiving of prices when a person lives in a state that suffers from hyperinflation. Surely this Weber's law will be in the core of human economic behaviour in that kind of hard times.
Speaking of hard times, what about the WAR?... or any other stressful event that may occur suddenly? Then the time seems to stop or slowing down severely, which, of course, is entirely on psychological grounds.
iPhone torch is my new word of the week.
Edit: I wonder if you could do this with calories? What would the scale be? How many calories could you cut in a day without your body noticing and feeling hungry?
That's pretty tricky to measure. Calorie information on most foods is an estimate only.
And I've heard any given thing you eat that lists them can have variances exceeding 20% based on unpredictable factors such as variation in ingredients and how any given batch was prepared.
Actually pretty important to know when you think about it.
Because if you're actively trying to count calories and intended to drop from say 3500 to 3000 calories...
Well, 20% of 3000 is +-600
So in any event you'd need more reliable calorie measurements to meaningfully test this, I suspect.
Well not really. You just need a suficiently large sample size.
Those calorie measurements are based on the average of the test batch and for most products, those batches are large enough to be representative. Even if for a specific product they are not, you have 2 things in your advantage:
first, you eat a large variety of products. So even if the information on one of them is wrong by 30%, it doesn't really affect your daily intake, because it's just 1 product.
Second, you can always compare the calories from one product to the other. Like take noodles for example. You know how many calories they have, even if one product claims a value that is somewhat different from the other products, it's still in that ballpark range. They're noodles after all.
So you just need to make sure the average calorie intake goes from 3500 to 3000. Yeah in the short term you might get "unlucky" but it'll even out at some point.
In the short term, hunger is more of a learned response a lot of the time. This is why if you say fast for a day, you will most likely feel hungry at the times you would usually eat.
This law applies to conscious minds. “Your body” is subconscious and “you” are conscious. Numbers do not mean anything to your body and your body does not perceive differences between anything. The difference between 1 and 2 calories is the same as the difference between 999 and 1000.
Just my own thoughts
Well this just got really deep really quickly.
Do you have scientific proof that this is actually the cause for experiencing time faster as you age? Because I remember reading that that's a common misconception. The true reason is that memories of you doing things for the first time are much more important to your brain than those of you doing the same things for the thousandth time. This means you have many more memories of when you were young which in turn makes it seem like time went slower.
This is the math channel, "proof" has a special meaning here.
HebaruSan He said scientific proof :)
mathematical proof is this: when youre 4, the next year is 20% of your life. feels like a long time. when youre 99, the next year is 1% of your life, not a lot. as time goes on, the next stage is a smaller and smaller part of your life, making it feel faster
Chances are what you're describing is the cause, and what this video describes is a mathematical model/description of the effect.
Of course. The quality of this video isn't up to par with the rest. Fact-wise and by trade.
Interesting! I derived this when I was bored in 9th grade chemistry class. It's always fun to learn you deduced an equation that has a name. Makes me feel slightly less hopeless about my mathematical ability!
It's makes intuitive sense and after reading The Physics of Mind you can get a better understanding of how the ion channels which govern the perception in our brains behave. We only have three forms of perception (despite the long standing notion of 5 senses). Those are tactile (or vibration), light, and chemical. Touch and hearing are both vibration based. Vision is light based, and finally smell/taste are chemical based. The response of these ion channels is also non-linear and logarithmic in nature. Since the underlying "electronics" of our bodies responds at logarithmic rates it's completely intuitive to expect that we would perceive things in a similar matter. It's why volume knobs are usually logarithmic - that number 10 is actually 10 times higher than number 9. Our ion channels are not the only thing in nature which follows a logarithmic cadence either. Nature abounds with examples of Euler's number.
Which means you should have your midlife crisis at about the age of 8, because 2*ln(8)=ln(8^2)=ln(64)
Olaf Doschke
Except that people "feel" that their "opportunity time" begins in ~14-15
ln(30)+(ln(30)-ln(15))=ln(60)
Assuming you start your life at the age of 1...
That's the weakness of that approach. Let's do it for days, then it's about sqrt(70*365.25) = ca. 160 days, even earlier.
Or to me, why people later in life can't deal well with big changes - why old dogs can't learn new tricks, why people die of broken hearts after years living together. The change in intensity is a huge leap that they hadn't been accustomed to since their youth.
Well it isn’t an exact ln curve it is adjusted
I'm a simple man; I see Hannah, I click. I see Hannah holding the camera, I go away.
Dr. Fry is awesome, and I love the topic of this video, too. Thumbs up all around!
i'm thinking back to march 2020 and it didn't feel then like 2020 would ever end, let alone 2021. now, in retrospect, it feels like it flew past. YMMV.
This is ever so mildly depressing
Why? Its just a fact of life. Honestly it wouldn't really be much different if physics and biology happened to work on a geometric scale, as long as all aspects of reality were equivalently shifted. Basically it just means instead of drawing 1,2,3,4,... on your Y axis when you graph something, you draw 1,10,100,1000,...
It's quite depressing when this is the only problem in your life. To make it seem less depressing, you should surround yourself with more negative things so that this fact becomes proportionally less significant. :)
But really, it's just the way brains work. You've been using Weber's Law all your life without ever noticing, the only difference is that now you know a little bit more about yourself and the way you perceive the world.
Welcome to life
I once heard a really good explanation for WHY people would have evolved to think this way. It really makes sense if you think about it because if you're looking at one tiger trying to eat you and then suddenly there's two tigers trying to eat you, that's a pretty big deal, but if you've got 7 tigers trying to eat you and another shows up to make 8 tigers trying to eat you, you're honestly probably not that much more concerned. 😝
Elisabeth Wheeler LOL
i dont know but i think id rather be eaten by 8 tigers instead of 7. because 7 8 9
Our brains evolved that way because of the way information processing works, which is also logarithmic.
Ears hear frequencies in ratios. Which is why an octave higher (2x the frequency) sounds so similar we can call it "the same note, but..." The next most harmonious interval, the 5th (eg C to G) is 3/2 the frequency. Etc... So this generalized "Weber's Law" seems to be a fundamental part of hearing as well, and the underlying principle behind music.
Oh hey I just taught logs. I gave examples using the old Richter scale, astronomy, and noise levels to still get the inevitable "when will I ever need this?" question. This... might be a better way for students to connect to the log.
I’m a Tim btw
If you sentence someone to 2 years and 3 days of jail, boy is he gonna have ants in his bottom during those last three days
Yeah but for the whole 2 years and 3 days there would be something else in their bottom
Yeah but if you sentence them to 2 years, he's going to have the same amount of ants as soon as he hits day 727..
And that could be the least of his worries
but how many days are in 2 years??
you brits are a weird bunch ya?
When I have to explain this to Raman spectroscopy users I use the "Captain in the Rowboat" analogy : it is much easier to get the captain's weight by weighing the rowboat with and without the captain and then subtracting than weighing the ocean liner with and without the captain. (In Raman spectroscopy we have to reduce background signal as much as possible because the Raman scattering signal is so small.)
It's a good way to build a sensor. It allows you to have one device that can measure stuff over orders of magnitude. If you experienced things linearly you'd need a lot of different sensors for each measurement regime.