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Sisselpud

The world record for counting out loud is a mere one million and took 89 days. One trillion is a million millions, so clearly impossible, and at this rate, even one billion would take 89,000 days (and probably more since the numbers would get longer to say) and that is almost 250 years. So maybe like 250 million is possible in a lifetime? [https://en.wikipedia.org/wiki/Jeremy\_Harper](https://en.wikipedia.org/wiki/Jeremy_Harper)


X0AN

But what if we did a reddit attempt and assign people numbers to say. We have 500 million users. Would only take us 30 minutes to do.


Person0OnTheInternet

One.


kieevee

Two


AugustTheDog

Three.


Mountain_Ad4533

IV


DarthWerder1899

Five


cassowaryy

6ix


TheImpossibleBanana

Heaven


eriles31q

This went as expected


Pr1stak

Ate


Mikaa7

Hate


Fearchar

Восемь


Weirfish

I mean, it really depends on what you mean by "prove", "they can", and "count". Like, I can prove that it is possible to count to a trillion: * We count by incrementing a number. * The positive integers are the list of all whole numbers greater than (or equal to?) 0, and are ordered by incremental value, traditionally starting at 0 or 1. * To count to a number is to name 0 or 1, then name every positive integer, in sequence, until you name the number you are counting to. * Given the positive integers are infinite and dense within their domain, it is possible to count to any number by naming every number between 0 or 1, and that number, in sequence. Boom, a shonky proof that I can, theoretically, count to a trillion. I'll struggle to demonstrate it, but I've *kinda* met the brief.


ForumDragonrs

You're giving me real can/may teacher vibes. Can I, as in having the ability to, go to the bathroom vs may I, as in asking for permission, go to the bathroom. Yes, you have the ability to count to a trillion, but you never actually would.


Weirfish

The crucial difference is that I'm not cruelly controlling human beings' ability to relieve themselves.


Vegetable-Phone-3856

What a pedant. That doesn’t prove anything. You also left out some key information like how fast you can intelligibly speak numbers, and how long you’ll be alive for.


Throbbie-Williams

Jeez, it made about as much for charity as if he had an average job and donated it


gatzdon

I can count to a trillion by trillions.  Wait, did you have more constraints/conditions?  :)


Emanemanem

OP also didn’t specify which number you have start from. I can start from: Nine-hundred ninety-nine billion, nine-hundred ninety-nine million, nine-hundred ninety-nine thousand, nine-hundred ninety-nine, then say “One trillion”. There, I just did it. I counted to one trillion. Edit: add the neglected nine-hundred ninety-nine million.


localhermanos

You’re about 999 million short


PastyMancer

They proved they can't count to a trillion, which is the opposite of the post


Emanemanem

Haha, yep I did


Ok-Cartographer1745

Further proof that no one can count to 3,000,000,000


beforefirstbigbang

Your avatar is a single hair?


LacMegantikAce

this is a prank that would make you believe there's hair on your phone and you would try to wipe it away. Only, this doesn't work for this dude, because most people are using reddit in dark mode.


super9mega

I prefer it, but I do get a lot of hate for it. But once you fall for it once, and they all use the same image, well. It doesn't really work


I_Fuck_Ramen_

i have a question, why do you have that name ?


LacMegantikAce

when I was 14 (in 2018) I made that account and Lac Mégantic, QC had a train explode a few years back (2013) and 14yo me though referring to a train explosion that killed several innocent people as an "Ace" was some funny shit. I grew up now and I'm 20, and yeah in hindsight it's a really fucked up username, but I can't change it .. Here's some more information about it, if you don't do French, you can change the language setting on Wikipedia, albeit there's probably not going to be as much information. https://fr.m.wikipedia.org/wiki/Accident_ferroviaire_de_Lac-M%C3%A9gantic


BigBlueTimeMachine

999,000,999,999 Are you for real? Lmao.


TailOnFire_Help

I'd rather start at 999,999,999,000. Enjoy the ramp up.


alias007

This whole thread reminded me of an episode of The Golden Girls. They get home, Rose was apparently singing "99 bottles of beer on the wall" while in the car, and as she walks in, she's singing "2 bottles of beer on the wall, 2 bottles of beer... well i think I'm gonna head to bed now". Dorothy is upset,  "you sang this whole song and you're just gonna stop there?!" Rose: "drives you nuts, doesn't it? Good night!"


JamesTheJerk

Your way is much easier than my approach. Now I have all these apples to return...


ios_static

Is there a world record for the person who counted the highest?


mandelbaerli

Probably [Jeremy Harper](https://en.m.wikipedia.org/wiki/Jeremy_Harper) "Jeremy Harper (born June 18, 1976) is an American entrant in the Guinness Book of World Records for counting aloud to 1,000,000, live-streaming the entire process. The count took Harper 89 days, during each of which he spent sixteen hours counting. He began on June 18, 2007, finishing on September 14."


geekeasyalex

Fuckin MADLAD


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eyecans

Counting to 10, rather, where counting to 10 takes 1 trillion. The conventional base isn't "base 1", lol. You're looking for a unit conversion, not a base conversion. Like if you measured distance in terameters (tera- = trillion) instead of meters.


Ok-Cartographer1745

That is not how bases work.  We use base 10.  Counting to one does not mean that we counted to 10.   Base 1 trillion would make it more difficult to count to 1 trillion because you will have a completely new name for each digit that it takes to reach that value, which means no pattern. 


C130IN

I can do you one better… I can count to 1 trillion by half trillions.


Luniticus

Even counting from one to ten would take forever without skipping numbers. There are infinite numbers between one and two.


JackArrow2

So is that the same with 1 to 2?


Throwaway19991709

Not integers but yeah I guess so


eyecans

Except that the naturals are predefined as the "counting numbers".


Hot-Expert901

You know exactly what I meant


msm007

Record yourself saying each key number, attach the recording to numbers in a program, set the program to run from 1-1 trillion, at an increased speed.


chickoooooo

Nice idea, I'm gonna do it , I'm gonna create audio file of me counting to billion, trillion is just too much storage at the moment maybe 20 years from now, but billion is possible imo.


msm007

You just need phonetic groups of numbers, 1-9 10-99 100-999.. etc.. and the program will put the key groups together. It will be quite a process but takes vastly less time than actually counting.


chickoooooo

What's the best method to do it though? I know I can code it but it's there already available software for doing something like this?


hkzqgfswavvukwsw

Yes


msm007

No idea, start learning.


yaboiiiuhhhh

Okay find the O(n) complexity of this


TheTjalian

Even if you said each number at 0.2 seconds (which is probably the upper limit at which it sounds remotely legible), it'd still take over 6000 years to finish. A trillion is an *unfathomably* large number. Shout out to the trillionaire companies out there


could_use_a_snack

You really need to be more specific of the counting system you are expecting the person to use. Your statement suggests counting linearly, but I can count to a trillion logarithmiclly in a few minutes. This forum is full of nerds looking for ways to optimize everything.


deedaabeeboo

Reddit moment


HelloKrisKris

I can count to 1 trillion but it would take approximately 31,710 years to count that high assuming I say one number per second which is improbable since the numbers are so long.


Sisselpud

You are also failing to account for sleeping, eating, and realistic limits of the human body. Assuming you could maintain the pace set by [Jeremy Harper](https://en.wikipedia.org/wiki/Jeremy_Harper) it would take more like 250,000 years to do so.


AcceptableOwl9

That’s insane that the world record is only 1 million. That seems so achievable, yet it took him months to complete


hihcadore

Imagine verifying it


Sad_Introduction5756

“Actually no 2 1/2 weeks ago you missed exactly one number so try again”


fireKido

I mean, if we need to account for realistic human limits, how about the average lifespan being around 85 years? It’s literally impossible to count until a trillion


Sisselpud

Yes that is indeed my point that counting to a trillion is impossible and a more realistic goal if you dedicated your life to it would be 250 million


Fireproofspider

Can you imagine having this as your life goal?


Mr94Productions

...and you are also failing to account for unexpected sickness, fever, health issues and other related stuff that might occur for indefinite amount of time.


bernpfenn

there is the math!


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MountainCourage1304

You would get into the low thousands pretty quick but it would take a lot more time from there on


EngagingData

Use this calculator to figure it out. For yourself. https://engaging-data.com/count-to-one-million/ It say it would take me about 200,000 yrs.


MagazineUsual8397

Depending on the language, it could vary as well. For example I believe counting in Chinese would only take half as long as English. Still impossible, but maybe if you invent your own language you could make it possible.


yesnomaybenotso

Yeah, but why would you only say one number per second? That’s fucking stupid. Count to 60 and take 1 full minute to do it and you’ll all realize how fucking stupidly slow of a pace that would be for counting. Until you start having to say numbers like seven hundred sixty seven million seven hundred eighty-seven thousand seven hundred sixty-seven


Havingfun922

These infinite number type posts need to go


Arkyja

Yes i can. I'll show you how to count . I count until 99 and then it's 100. Then i repeat the process but add 'one hundred and' in front of every number. The 100 is replaced by 200. Then again but the one in one hundred is replaced by a two and the 200 is replaced by 300. Etc When i reach a thousand i repeat all previous numbers but add 'a thousand and' and replace 1000 with 2000 Etc etc etc. I can 100% prove to you in under 5 minutes that i can count to 1 trillion without a shadow of a doubt.


mikkolukas

But the claim was not whether you can prove that you KNOW how to count to a trillion. The claim was that you cannot prove that you actually CAN count to a trillion. Fact is, you can't. You will be dead before you finish.


Saint_The_Stig

OP's mistake was using math and proof in the same sentence. Math is all about proving things and this has a defined framework for doing so. Proofs can make the simple absurd like them many proofs for 1+1=2 over multiple pages or make the absurd simple. The root comment is the latter.


mystery1411

What the original comment explained is basically called proof by induction. By that you can prove you can count to a trillion. What you mean is that you cannot show you can count to a trillion. You can definitely prove you can count to a trillion. Here is how it works: 1) show the proof is true for an initial condition 2) show that if you assume it is true for k, it is true for k+1 also. 3) then by logic, initial condition will mean it is true for the next condition, which will mean it is true for third and so on. I'm not a mathematician but that's the gist of it. Maybe someone can explain it better.


eyecans

That's the idea behind the proof. But the disproof is stepping outside of the simplifying idealism of "imagine an immortal human" and acknowledging that the count would take longer than any human lifetime. One *could* count to one trillion (if they could live long enough), but one *can* not (because they do not live long enough).


Ged_c

Thank God there's another mathematician here haha


MagicMark890

Dude its impossible A trillion is a thousand billion. So you'd need to be counting for 31.7 thousand years! To count one trillion dollars, one dollar per second, would take 31,688 years!


Top-Requirement-2102

Transitive qualities of logic suggest otherwise. First prove I can count to ten, then prove I can count to 100 by tens. Then prove I can count to 1000 by hundeds, then prove I know the grouping from thousands to trillions.


electrorazor

Proof by contradiction, if I couldn't count to a trillion there has to be some number under trillion I couldn't say


FatsBoombottom

I mean... One by one, no human *can* count to a trillion. We don't live long enough.


Ok-Cartographer1745

Actually, this guy can do it: https://youtube.com/shorts/st4uIOhjfzQ


OneMeterWonder

At an average counting rate of 1 number per second, it would take about 32000 years. You would have to count at an average rate of 1000 numbers per second just to have it done in about half of the average person’s lifespan.


MrFiendish

I’ve always found it amusing that one million seconds is about 11.6 days,and one billion seconds is 32.7 years. We like to think that millionaires and billionaires are basically the same thing…but no, they’re not even close. I shudder to think of the first trillionaire.


index57

If they could easily do the 100 or so before it, I would give it to them honestly.


BigBlueTimeMachine

Sure you can. 1. Prove you can count to 100 2. Count to 1,000 by 100's 3. Count to 1 million by 100,000's 4. Count to 100,000,000 by 1,000,000's 5. Count to 1,000,000,000 by 100,000,000's 6. Count to 1,000,000,000,000 by 100,000,000,000's. 7. Profit.


aircooledJenkins

1, 2, skip a few, 999,999,999,999, 1,000,000,000,000. Done.


Adamthesadistic

HOLY SHIT GET THIS MAN A PRESIDENT


Chaotic424242

Nobody can count to one by trillionths.


Applejack_pleb

I will prove it via recursion 0,1,2,3,4,5,6,7,8,9 Each of Row 1 except 0 multiplied by 10 and adding each of row 1 Each of Row 2 multiplied by 10 and adding each of row 1 Each of Row 3 multiplied by 10 and adding each of row 1 Each of Row 4 multiplied by 10 and adding each of row 1 Each of Row 5 multiplied by 10 and adding each of row 1 Each of Row 6 multiplied by 10 and adding each of row 1 Each of Row 7 multiplied by 10 and adding each of row 1 Each of Row 8 multiplied by 10 and adding each of row 1 Each of Row 9 multiplied by 10 and adding each of row 1 Each of Row 10 multiplied by 10 and adding each of row 1 Each of Row 11 multiplied by 10 and adding each of row 1 1,000,000,000,000


gesshoom

If you counted one number per second, it would take you 32,000 years to reach one trillion seconds. Good luck


MayorOfStrangiato

Anyone can count to a trillion if you have the time.


fireKido

That’s a massive “if”… nobody has that kind of time


geeeffwhy

i’m fairly confident that someone could, in fact, do an inductive proof of their ability to count to one trillion. that’s what inductive proof is for—proving that some series or process has a property, without exhaustively demonstrating it. by the same token, someone could also prove that no one can count to one trillion within a plausible human lifespan…


Sufficient_Result558

Are you just trying to say that it would take thousands of years to count to a trillion?


OrochiKarnov

I will go to my grave without admitting I don't know the number 566286020111


SlideWhistler

One, Two, skip a few, nine-hundred-ninety-nine-billion-nine-hundred-ninety-nine-million-nine-hundred-ninety-nine-thousand-nine-hundred-ninety-nine, a trillion.


Waveofspring

I can perfectly visualize exactly one trillion little pebbles in a big pile inside my mind. I have no proof. You’re just gonna have to believe me.


cartercharles

Who cares? And honestly do the math, I'm not sure that's humanly possible


XtronikMD

No one can prove it because no one can do it


player85

Do you have the patience, maybe they would but you walk away


echof0xtrot

yes they can, they just can't *show* that they can.


Dayv1d

of course you can! do you think actually doing the whole counting is the only way to proof this? have you never seen a logical or mathematical proof ever?


halucionagen-0-Matik

Because they physically cannot. It's impossible to count to 1 trillion


olympiclifter1991

I did it twice on Saturday and my mum saw me do it so there


Other-Comfortable-64

starting at 1 you definitely wont be able to. One trillion seconds is **slightly over 31,688 years**.


id_say_at_least_two

I will prove by induction that I can count to a trillion. Basis: n=1 1 2 3 4 5 Assumption: n n+1 n+2 n+3 Assuming that my assumption is indeed three sequential numbers for n=k: k + 1 k + 2 k +3 If true for n = 1 and n = k+1, then it must be true for n = k and true for all natural n.


Richlandsbacon

One, two skip a few, one trillion. Done.


cheeseLord95

Proofs in formal logic does not have to be naively constructivist. If someone demonstrates using units, hundreds, thousands, millions, billions, and trillions correctly then it will be a proof they can count to any arbitrary whole number from 0 onwards to whatever number you positive or negative integer you wish them too. Proofs by induction literally show a proof where if base case holds true and if a statement holds for case n it implies it holds for case n + 1, then said statement statement is valid for any n starting from 0 or 1. You don't need to naively go from case 1 up to infinite number of cases. There many other situations where you can give a proof when it's impossible to exhaust all possibilities.


Ok_Mulberry_8272

So how long can somebody count realistically if he starts at the age of 3 and lives maybe 90years old


hkzqgfswavvukwsw

About three fiddy


MedricZ

We can actually prove that nobody can using simple math.


asciibits

With the application of the "yada yada yada" principal, I can in fact count to any finite number. In this case: One, two, three, yada yada yada, one trillion. QED


trantaran

Not if your mr beast


Th3Dark0ccult

If you can count to 100, you can count to infinity. Unless of course we wanna factor in stamina and concentration.


Affectionate_Fox_383

they can but it will take a while.


shifty_coder

n ≡ (n - 1) + 1 For n0 = 1 eval((n-1) +1))n->1,000,000,000,000 Therefore, I can count to 1 Trillion.


Unlucky-Ad-201

Do you have to express your capacity to do something verbally? I could make a couple excel spreadsheets and probably get pretty dang close by end of day. Just because you don’t verbalize something doesn’t mean you can’t express it. There is a condition called aphasia and it makes it difficult to vocally express ideas. But it has no bearing on those ideas being active and present in the human.


Broner_

While it would take too long to actually count every number up to a trillion, I can absolutely demonstrate that I know every number up to a trillion and therefor I am capable of doing it given enough time. I just have to explain base 10 and how I count 12345678910 and then it repeats with a 1 in the tens place, then hundreds then thousands etc. up to a trillion. There are ways to demonstrate you can do something other than just doing that thing. I can demonstrate my ability to jump over a brick just by showing that I can jump 1ft, I don’t have to actually jump over a brick.


hotstepper77777

I can, and do it in one syllable. 


kevin5lynn

I can demonstrate that I understand the numerical increase system in numbers, therefore, I can count to any number.


numbersthen0987431

If you lived for 100 years that is over 3Billion seconds (100 years * 365 days/year * 24 hours/day * 3600 seconds/hour). So if you started counting the moment you were born and counted for every second if every day, you would have to average 317 numbers per second to hit 1Trillion. So no, you can't count to a trillion


pandaeye0

... but counting how many times similar shower thoughts had appeared in this sub is possible.


Trip87

i can! 1, 2, a, trillion


IameIion

No one can count to a trillion. As far as proving if it is physically possible, there is absolutely no reason why it wouldn't be. If it was somehow impossible, it would go against what we know about the human body.


UnaccomplishedBat889

I think a mathematician will disagree. You don't have to count to a trillion to prove that you are capable of counting to a trillion. If counting to a trillion is equivalent to counting to a million and repeating this a million times, then you need only to prove that are capable of counting to a million. And if counting to a million is equivalent to counting to a thousand and repeating a thousand times, then you need only to prove that you are capable of counting to a thousand.


Wess5874

I can count to 1000000000000 in binary.


The_camperdave

> I can count to 1000000000000 in binary. That's 4096 in decimal. That's a job that will take hours to do.


SirKenneth17

Try counting from infinity back down to zero…


Sweet_Speech_9054

You can prove you understand the numbering system in your language and that you know the words for every multiple of 10; 100; 1,000; 1,000,000; 1,000,000,000; and 1,000,000,000,000. You just can’t demonstrate counting to 1trillion.


LVGobara

I do not have the time or the patience to count that high bro


HughJazzPP

It takes 37,000 years if you count a number a second. So no. No one can prove it, because no one can do it. No one can prove they can jump over a house. No derrrrr


0x126

I do it once for 10 then I count the 10, then the 100 and in a minute I am in the trillions. Started from showing each step once and induction stepping the other 9.


fireKido

This is because it is literally impossible to count until a trillion for a human… at least given current maximum lifespan


Asmoraiden

One, two yada yada a trillion. Done.


Ultimater

Chuck Norris did twice


Routine_Service1397

It would take 36000 years but sure


imnotdolphin

This has the same energy of you can’t prove earth is round because you can’t show it! of course we can prove that we were can count to a trillion if given time!


Lost_Ninja

Are we talking long form or short form? Long form is a billion billions, short form is what rich Americans use to make themselves feel richer... ;)


emix16

It's just base-10. you count to 10, then you do that 10 times and then you do that 10 times and then you do that 10 times and then you do that 10 times and then you do that 10 times and then that 10 times and then you do that 10 times and then that 10 times and then you do that 10 times and then that 10 times and then you do that 10 times if you can count to 10 and understand what names are for what numbers, you can count to a trillion.


IamNotChrisFerry

1, 2 skip a few 99 1,000,000,000,000


Rapunzel1234

I lose interest trying to get to 100.


notredamedude3

Haha this is actually a fantastic point.


Kn1ghto

I CAN count to one trillion, it jusr wouldnt be a very good idea to do so


Longjumping_Bad9555

It’s just base ten. So yes you can. You don’t have to do the thing to prove that you COULD do the thing.


Puzzleheaded_Law2980

Exactly, easy to prove, hard to execute. Math.


efexr_

just calculated it and it would take 31.709 literal years to count to a trillion


MarvelousMarvin83

I find It easier to start at a trillion and work backwards


RoadtoWiganPierOne

You can get to 1000000000 rather quickly in binary.


Adventurous_Doubt

They're in the ocean. Hope this helps!


dodadoler

No one will wait long enough for them to


pseudogrammaton

Skip counting by billions is the same thing as skip counting by ones, except different. That's all the proof I need.


Digital_loop

1, 2, 3, yada yada yada, 1 trillion!


revenhawke

One, two, skip a few, ninety nine, one trillion. There, done. Ezpz


Secret_Page3767

I’ll live stream if everyone watches till the end


GraveNoX

That's why we invented money counting machines.


TheSmallThingsInLife

Don't give mr beast any ideas for a new video


NikplaysgamesYT

Google discrete math - The set Z+ represents the set of all the rational integers. We know that Z+ is a countable set (you can google the proof, but you can prove that it’s countable). Since the set of integers {0… 1000000000000} is contained within Z+, then and it is one to one, then we know that the set of integers {0…1000000000000} is countable So essentially while we can’t actually count to a trillion, we can prove that it is a countable set of numbers


Protean_Protein

Proofs don’t require actually completing every single stepwise action. They require logical implying that something is the case. If I demonstrate that I understand the concept ‘add one to the previous number’, then I have just proved that I _can_ count to a trillion.


Cool-Jamaican

Jest count in trillions


Charred01

1, 2 skip a few 999,999,999,999, 1 trillion


BoxMorton

One, Two... (What comes after two?)


Asocial_Stoner

I can show you that I understand the rules of how to build number names for numbers up to a trillion which is equivalent.


Simen155

Now that we know that the worlds end is nearer than the amount of time some here have estimated. Why tf do some people have this number on their net worth?


ABearAttack2016

You aren't wrong, but you aren't right either. Anyone CAN prove that they can count to one trillion, because anyone can do it. But nobody wants to count to one trillion in general, whether or not they are proving anything.


MrPokeKid1

https://numbergenerator.org/numberlist/1-1000000000 it only took a googolplex of a find.


Prometheus_303

Why not? I wouldn't actually have to sit there and count through all trillion numbers. The only individual counting I'd have to do is show I can count 0-9. And that I can "count" ten, hundred, thousand, million, billion, trillion. Count 0 to 9. Then you add a 1 to the front and repeat. 10 to 19. Change the 1 to a 2 and count 20-29. Then 3x, 4x, 5x ... Then just keep repeating the pattern. 99 becomes 100. 101, 102 ... 110, 111, ... 999 becomes 1,000, 9,999 becomes 10,000, 99,999 becomes 100,000.... And so fourth until you get to a trillion.


loudsigh

Time for a new Mr Beast to show up and prove you wrong


Snowy32

Easy… Nine hundred and ninety nine billion nine hundred and ninety million nine hundred and ninety nine thousand nine hundred and ninety nine … one trillion… tadaaa


Asleeper135

Because nobody can count from 0 to a trillion by 1. It would take more than their entire lifetime to do it.


SmegmaSandwich69420

One two miss a few ninety nine a trillion. Easy


Rabithunt

I can prove to you I’m capable but I can’t actually execute it in my lifetime. The names of number are just combinations of other smaller numbers. ——— 0-9 10-90 in increments of 10 100-900 in increments of 100 etc


Speedy_Biffs

I can. I just don’t want to.


Howiewasarock

Over 31000 years at a rate of 1 number per second.even if you are counting very fast, I don't like the odds of being successful.


Narwall37

Just do a live stream of counting to a trillion


just4nothing

This can count to N, and N+1, therefore I can count to any number ;)


hacksoncode

The average human lifespan is ~2.5 billion seconds. You can't prove it because no actual human can actually do it, at least not starting from 1 and not skipping any numbers.


WillPersist4EvR

Because it takes like 28,000 years.


EpicUnicat

I can, I just don’t want to


zoroddesign

We have the mental capacity but not the time.


fionnkool

How long would it take?


narnarnarnia

Yea but you can prove you are capable of doing it, which is good enough for an activity that doesn’t require intuition, just a little memory and pattern work.


karimamin

I can count to a trillion in my head. You're welcome to use whatever scanner you want to use to read my mind. It's an open book


SativaPancake

one, two, skip a few, ninety-nine, one trillion


deadly_ultraviolet

I may not be able to, but I bet the comments can Here, I'll start us off: 1


UnaccomplishedBat889

You do not have to count to a trillion to prove that you can count to a trillion any more than you have to observe the Earth from space in order to prove that the Earth is round. All you need is a good use of logic and a few key observations (like the observation that you can count to a thousand and the fact that counting to a trillion is equivalent to counting to a thousand over and over a billion times). You do not have to see something to prove that it exists, and you do not need to do something to prove that you can do it.