There is no 10 in a base infinity number system. amirite?

True, there is, however, an A.

by Anonymous 1 week ago

And two "I"

by Anonymous 1 week ago

Except it's not true. 10 would just be a much, much larger number.

by Anonymous 1 week ago

Screw you, i can cross infinity! You Just Say infinity + 1

by Anonymous 1 week ago

Even if you had a magic spell to allow you to cross infinity, you would still have another infinity to cross.

by Anonymous 1 week ago

2 infinities +1, see? I can do this all day

by bradtkeruth 1 week ago

2♾️+1=♾️

by Anonymous 1 week ago

How unfortunate that mathematical principles transcend realities.

by Anonymous 1 week ago

Yup, and they're all infinites contained within infinity. Very weird indeed.

by Anonymous 1 week ago

Nope, it would just be infinity. Or, technically infinity plus one, which is already a concept that exists.

by Anonymous 1 week ago

It would be infinity, not ♾️+1, for a couple reasons: Base counting systems use the number that transforms into two digits for their name, that's why Arabic numerals are said to be in base-10, not base-9. ♾️+1=♾️ It is theoretically possible for a 10 to exist in an ♾️-base counting system, but it is impossible as infinites cannot be crossed, only go through the various mathematical operations, none of which would allow you to get to the end of infinity, as it is infinite.

by Anonymous 1 week ago

I suppose I should clarify, because yes, there is an infinite amount of numbers we cross from 1 to 2. By that I mean an infinite amount of real whole numbers, as real whole numbers are why you use in a base-anything counting system.

by Anonymous 1 week ago

All very true, except this is trying to treat it as a number, not a concept, and it would be ♾️, not ♾️+1, as you start counting from 0 for bases, not 1.

by Anonymous 1 week ago

Except we've already got an infinite number of numbers, and between any two of them is an infinite number of numbers, so we're already dealing with an infinity of infinities and we still haven't even left base ten yet. It's still just infinity. But I suppose whether or not it's infinity plus one would depend on whether or not you'd start at 0 or 1…

by Anonymous 1 week ago

You always start at 0, for base-? systems. And yes, that's my point. It could exist, but it can't because it is impossible to get to it, making it not exist.

by Anonymous 1 week ago

Technically, what we are looking for is not a number, but a numeral. Those things are usually the same, but in this instance, they are not. The number exists, it is certainly not a ‘real' number, but it exists, somewhere. That is why I have said that it could exist theoretically, because the number exists. The numeral, which is what we are looking for as the representation of the number does not, as it requires crossing an infinity, which is impossible, as you will still have an infinity left to cross. The reason why it is a numeral we are looking for rather than a number is clear from the title; the numeral for any base is represented by 10. In base 2, 10 is 2, in base 10, 10 is 10, in base 16, 10 is 16. It is impossible to truly cross an infinity, and so that number, though theoretically existing (much like imaginary numbers) does not exist in a concrete enough manner for the numeral to be real.

by Anonymous 1 week ago

infinity is not a number, if you add anything to it, it's still infinity

by Historical-Beyond 1 week ago

base infinity means it never goes past 1 digit. 10 is literally impossible to have

by Historical-Beyond 1 week ago

Every number would be a single digit with a unique symbol. Thus, because we're talking Infinity, every symbol that could conceivably be made would have to be used to represent numbers.. and even then you'd fall infinitely short of symbols. The symbol "A" would absolutely be a number under such a system. In fact, A in every single font ever made would be a different number.

by Maybellejast 1 week ago

Why? How would it work?

by Firm-Ad-9229 1 week ago

it would be exclusively single digits, and every possible number would gave a unique symbol obviously this wouldn't work in real life, but y'know

by Anonymous 1 week ago

Not with that attitude.

by HeavyJeweler 1 week ago

Nothing involving infinity works in real life. Not in any way that humans can comprehend at least.

by Anonymous 1 week ago

What about procedurally generated symbols :) (I don't know what I'm saying. I'm bad at math.)

by Raphaelschuster 1 week ago

Yeah like when we get to a really high number we restart the pattern but add another bit to the end of it to show that its wrapped around once before Oh wait

by Anonymous 1 week ago

That's a somewhat silly objection in that all number systems require infinite something. It's completely unpractical, but because it needs an impractical number of symbols to represent common numbers, but not because it needs an infinite number of symbols to represent arbitrarily large numbers.

by Anonymous 1 week ago

The 11th digit would literally be 10

by Anonymous 1 week ago

but it wouldn't, it would be equivalent to 10, but not 10 as 10 is 2 digits, signifying the first value in the second place, but I base infinity it takes an infinite number of digits to get to the second place

by Anonymous 1 week ago

No, that's the number 10, not the concept ten. Ten apples is ten apples whether you call it 10, 00001010, 20 (base 5), or any other symbol you might come up with in base infinity.

by Anonymous 1 week ago

but that is obviously not what OP meant

by Anonymous 1 week ago

I mean if that is what was meant by OP, then we could also say that 10 doesn't have to exist in a base 10 system

by Anonymous 1 week ago

I mean, we could call it something, but a first value in second place, null value in the first place will still exist, which is what OP means

by Anonymous 1 week ago

There would be no second place in a base infinite system. All numbers would be represented by a single character pulled from infinitely large character set. In such a system 10 would equal infinity + 1

by Anonymous 1 week ago

Yes, you two are in agreement

by travoncartwrigh 1 week ago

Eh that's nitpicky. True for all numbers irrelevant for infinity. Depends on how you want to do you identity for infinity. Because it could be effectively infinity+1 which is also infinity (which it also is sometimes not) But it also could be (infinity-1)+1 which depending on how you want to resolve it could be (infinity) (if you distribute in the +1 or (infinity)+1 (because infinity -1 is still infinity but sometimes not)

by Useful-Base-2270 1 week ago

It's surely nitpicking but I think it's correct. I see no argument for infinity+1 being a better definition than infinity. Infinity+1 is just as good as infinity+100... so there's no need to do that. 10 in base x is x, so 10 in base infinity is infinity.

by Anonymous 1 week ago

... yeah

by Anonymous 1 week ago

In base 2 the digits are 0,1. 10 is equivalent to what we would call "2" in base 10 (or any base greater than 2). In base 10 the digits are 0,1,2,3,4,5,6,7,8,9. 10 is 10 obviously. In base 16 (hexadecimal), the digits are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. 10 is equivalent to what we would call "16" in base 10. In base 25, the digits are 0,1,2,3,4,5,6,7,8,9,A,B,C... up to M,N,O.10 is equivalent to what we would call "25" in base 10. Now if all that is true, how does base infinity work? 10 would be infinity, and every natural number gets its own unique symbol. There is no number you can reach to get to 10 - it's always further away, at infinity. In all other bases, 10 always means the base number. I don't really get what you mean by "10 doesn't have to exist". It does, normally - in any base, 10 is the number that comes after you have exhausted all the other digits. Base x has x digits, one of which is 0, so once you have counted through them, the next number is 10 - in base x it is x. Don't get caught up in which symbols we use. Even if we decided to swap out the numbers for emojis and now instead of counting from 0,1...8,9 we counted 😀,😠...😍,😆 and 10 was written as 😠😀 instead of as 10, everything would still work the same. We're still talking about the same concepts. The specific symbols used do not matter.

by Anonymous 1 week ago

There's ten, but not 10.

by Anonymous 1 week ago

I don't think that's how this works. In base 16, the number 10 is represented as the digit A. In "base infinity," there would be numbers 0-9, then capital letters, then lower case letters, then special symbols, then an infinite number of symbols, as an example. Every number has 1 digit to represent it. Anything beyond the number of the base needs a second digit, but since the base is infinity, there will never be a second digit.

by IllCycle5302 1 week ago

I meant A (base infinity) is 10 (base 10)

by Anonymous 1 week ago

That's not how number base systems work. Base 12 systems have Two numbers that have two digits each.base 16 has 6 numbers with two digits.

by Nathaniel09 1 week ago

Base 16, hexadecimal, is 0-9 then A-F, all single digits, if we used it daily instead of base 10, we'd have different symbols than just the alphabet, but you clearly don't understand how base systems work...

by Anonymous 1 week ago

Thats only if you write it with base 10 numbers. A base 12 system has 12 unique symbols and they dont start to get two digits per number until you reach 13. So an and so forth with a base 16 and any number base system

by WillAdventurous 1 week ago

Lol what?

by AlertRent 1 week ago

Base 16 is 0-F, all are single digits

by Anonymous 1 week ago

I don't even know what you're trying to say 🤔 that makes no sense.

by Anonymous 1 week ago

Yeah, I was confused. Don't mind me.

by Nathaniel09 1 week ago

um but it is

by Anonymous 1 week ago

It's completely impractical, but there would be no need for a 2 digit number in this system. Every number would have its own unique symbol instead.

by stephany66 1 week ago

Consider that in normal, every day counting we use what is called a "base 10" counting system. This means we have numbers 1-9 and then a 0 which is where we start all over again with 1-9, only this time we add a 1 in front, then a 2 until we reach another power of 10: 100. And so and so forth. In a base 16, they use 1-9 and then A, B, up to F, with F being 15. In such a system 0010 is actually 16, where it starts over again. 0011 is 17 and so on. 00FF is 255 So a base ∞ would have 1-9, A-Z, a-z... off in to infinity and it would never reach a point where there would be a second digit; a 10 place.

by Anonymous 1 week ago

Mine is too, buddy. Mine is too…

by Anonymous 1 week ago

Technically there is. You can write a limit expression like "limit 10 base x as x goes 0-->infinity" and the answer is "infinity". It's an answer that increases without bound.

by Laury83 1 week ago

I don't think the concept of a base infinity number system is coherent

by Anonymous 1 week ago

Aleph-0 (ℵ₀) could facilitate 10's? Any multiple of "10" in any base represents how many times you've cycled through the allotted symbols of that base (plus 1). Another way of thinking about it is 10 is the number after the last number in the base. So "30" in base-10 means you've gone through 0-9 3 times and then added 1. "120" means you've gone through 12 times plus 1. Note that we're just taking the number of times we've cycled through all the numbers and tacking a 0 to the end. In this case, the last number in base-infinity is... infinity. In set theory, we might (loosely) call this Aleph-0 (ℵ₀). Once you've cycled through again, you'd arrive at Aleph-1 (ℵ₁), then Aleph-2 (ℵ₂), etc.. If we're just tacking a 0 to the end, then: 10 = ℵ₀0, 11 = ℵ₀1, 20 = ℵ₁0, 21 = ℵ₁1, 22 = ℵ₁2, 30 = ℵ₂0, etc... Of course, this wouldn't be universally applicable, because Aleph numbers aren't used everywhere infinity is used. Like in calculus, we simply use infinity without cardinality, so I have a hard time seeing utility in using Aleph numbers in your base-infinity number system if the application is calculus. But Alephs are great in set theory and conceptualization, and since that seems to be more the context here, we can totally conceptualize this base-infinity as using Aleph numbers if we wanted :D

by treuteltorrance 1 week ago

the last number in base infinity is… Lol

by Anonymous 1 week ago

Yeah, loosely speaking lol. I think it's generally more accurate to conceptualize infinity and Aleph numbers as sets rather than really big integers at the end of the number line. That said, when we are, for example, taking a limit as x approaches infinity, we are using Infinity as a "number" more or less. And we're definitely treating Infinity as a number if we're using a base-infinity numbering system... So eh 😛

by treuteltorrance 1 week ago

The base of a number system must be, by definition, a whole number. So "base infinity" is not possible.

by Stacymuller 1 week ago

whole numbers can be infinite, you just add 1 to the value and assign a symbol to it ad infinitum

by Historical-Beyond 1 week ago

I'm not going to get into a mathematics debate. "A whole number" is a specific choice of a non-negative integer. Infinity is not a specific choice of an integer value.

by Stacymuller 1 week ago

Any base is base infinity if the characters are wide enough.

by ArtisticMuscle1515 1 week ago

I was gonna say, just make 10 one glyph, heck, Chinese already does that "十"

by Anonymous 1 week ago

So 10 + 10 is 十 + 十 ?

by ArtisticMuscle1515 1 week ago

Yes but No, we also have a character for plus "加" so it would be 十加十 but obviously we also write math using Indian/Arabic numbers of 0~9. Bonus: we also have these characters for larger denominations 十百千萬億兆京 etc... p.s. use translate to figure out what value each character is

by Anonymous 1 week ago

Except infinity isn't a number, so how do you define "base infinity"?

by Anonymous 1 week ago

In base infinity, would 1 = 2 = 3 = ... = ... ? What would A be in base 10? Aleph0 + 1?

by oscarkshlerin 1 week ago

Hi iPoopLegos, mrpoops here. I think we'd need some kinda algorithmic approach to generate the symbols as they need to be expressed. Kinda on the fly instead of predetermined like the alphabet. Something that could make a unique but reproducible symbol for any given number.

by Anonymous 1 week ago

It wouldn't need letters. But it would need some sort of symbols that could include letters.

by Anonymous 1 week ago

In base x, there are x number of symbols used for digits, and you start counting at 0, then 1, etc. When you reach the last available digit, you need to add another place to continue counting. So you put a 1 in front and start again from 0, 1... So 10 is always the number after all the other digits. In base 10, we have 10 digits, we can count from 0, 1, 2... up to 9, and then we run out of digits. To continue counting, we put a 1 in front and start over. 10, 11... In base infinity, there are an infinite number of symbols used for the digits. You never roll over to 10, because infinity is always greater than any number you can think of. You'd need an infinite set of digit symbols, with a defined order, to use base infinity. For bases larger than 10, our convention is normally to start using the alphabet. For example in hexadecimal, A is the digit after 9, so we count 8, 9, A, B, C, D, E, F. Then it rolls over to 10, which is equivalent to 16 in base 10 (because 10 in base x is x, and this is base 16, so 10 is 16 (base 10)). But we don't have any formal system (that I know of...) to continue representing digits past the end of the alphabet. So we don't really know what base infinity would look like - I don't know of any way to determine what these symbols should be. But they don't really matter - they're just placeholders for concepts anyway. You might as well use emojis. It doesn't matter. What does matter is you need to know what order they go in, so that you know what each symbol means. That's why base infinity is not practical and we can't really use it. You'd have to define and memorize an infinite set of digits in order. So in base infinity, 10 doesn't really exist (10 represents infinity, but you can never count to or past infinity, so you can never really use it) and every number has its own symbol. It's not practical but it works in theory.

by Anonymous 1 week ago

Tell us you don't understand infinity without telling us you don't understand infinity

by Anonymous 1 week ago

Well I'm infinitely disappointed the metic system is base 10, instead of base 12

by Stehrfabiola 1 week ago

Every base is base 10 when you write it in that base

by Anonymous 1 week ago

There could be a ten

by Current_Fruit_7446 1 week ago

You can't have base infinity because infinity is not a number, it's a concept.

by Anonymous 1 week ago

What would be the point in a base infinity system?

by mariahhudson 1 week ago

The weird flex of it all.

by EstablishmentLast408 1 week ago

Maybe someone just really hates 10.

by Bitter-Essay934 1 week ago

confuse your ennemies

by Historical-Beyond 1 week ago

If its an infinite number system, then you can have a single character like any of these: ⑩ ⑽ ⒑ ⓾ ❿ ➉ ➓

by Lempi89 1 week ago

There is an equivalent

by Anonymous 1 week ago

There would most likely be a 10. If you need an infinite amount of different symbols, one will certainly look like "10" even if it's just obe single symbol.

by Anonymous 1 week ago

Infinite does mean it contains everything. You can think of many infinite symbol structures that wouldn't contain "10"

by Substantial_Gap 1 week ago

there is no rule that symbols for numbers must be connected in a continuous line. not to mention, you are gonna run out of ink writing out all the symbols. In fact, there is not enough matter in the universe to write them all down.

by nicola85 1 week ago

In hexadecimal you'd call that A, not 10. 10 is reserved for number systems where the first digit is the number of bases you've counted through, the second digit is the number of ones you've counted through. So to write 10 in a base counting system where the base is infinite, you'd never count high enough to hit the point where you need the first digit.

by Icy-Patient-5515 1 week ago

In hexadecimal 16 is written as 10, so the base in hexadecimal is also 10. That was my point. Same goes for binary as well as octal or any other number system.

by Prudent-Candidate 1 week ago