Quote:
Originally Posted by doug3030
Don't use infinity so lightly. :D Let's just say its undefined.
Printable View
Quote:
Originally Posted by doug3030
Don't use infinity so lightly. :D Let's just say its undefined.
Quote:
Originally Posted by doug3030
Infinity plus one. :rolleyes: :D
but if infinity plus one equals 2, then infinity plus one minus one must equal 2 minus 1.Quote:
Originally Posted by Wongo
2 minus 1 equals one
so infinity plus one minus one must also equal one
Ummm
therefore infinity equals one
infinity is definitely limited to just one if thats right.
So, how DO we write 1 in base 1 notation. dont even answer if you cant then say how we write 2, :D
That is the spirit. :D
That ones a complement then.
... and two complement the previous one might be the answer.
A mathematician named Wong
Said "Everyone thinks that I'm wrong
To say 10 - 7
Equals 11
But if you think about it, you'll see it before long."
Quote:
Originally Posted by doug3030
Seriously guys. The question is moot.
In base 1 notation there can be no two. There can be no quantity whatsoever. There can't even be Existence and Non existence; Beginning and End; Yes and No because they requires two states. Which requires binary notation at the very least.
I started by thinking perhaps my dog lives in a base one world, being very much a creature of the moment. But even he has to differentiate between food bowl full and food bowl empty, so he needs at least a binary world. In fact no creature which has any level of consciousness could live in a base 1 world.
So while I used infinity a bit tongue in cheek, it serves the purpose. Two cannot be represented because in base 1 world the concept of 2 can't exist. Infinity can't be conceived either, but I'm not sure if there is a more appropriate symbol.
Maybe we use "1" in a world where "0" doesn't exist. And neither does any other number.
Thinking about this a bit more waiting for the coffee machine to heat up, I realized that even "1" can't exist in a base one world, because (as I said above)
"No creature which has any level of consciousness could live in a base 1 world."
To count something you have to be aware of it. Which requires consciousness.
So there can be no "1" in a base 1 world. How's that for irony.
Off to get caffeinated. If I can work this out before morning coffee...
Well dah. If there is "0" of something it doesn't exist. :stirthepot:Quote:
Originally Posted by switt775
10 - 7 equals 9 :;Quote:
Originally Posted by AlexS
My cat is definitely base 1, it's consciousness consists of a single state..... "it must be feeding time".
The joke forum is making a comeback :brava
:D:D:D
I think this is a good time for the freshman philosophy class to dismiss itself, and NOT return until they have done something.
Nah, the geek forum is taking a run. :CQuote:
Originally Posted by Wongo
but sir if I decide to do nothing, when will I be finished?Quote:
Originally Posted by switt775
If you decide to do nothing, then you have done something (made a decision). And you are finished.Quote:
Originally Posted by Gra
You forgot the QED at the end.Quote:
Originally Posted by switt775
Maybe it's time to request a sub forum of the joke forum for like minded individuals?Quote:
Originally Posted by Fuzzie
It's logical.
This has been my signature on this forum for afew years now.
After reading all of this I have decided that there only TWO KINDS of people, the living ones and the dead ones.
:p:q:roll:
No, there are three, have you observed some of our illustrious leaders, the walking talking dead headsQuote:
Originally Posted by BEKKY
And every 1 of them knows 0 so we shall give them 10 out of 10 for knowing zerro
All this talk about binary number systems is confusing. It's all because of this new century. I've been thinking about this century a lot,
MM
Carry Pine
Quote:
Originally Posted by rwbuild
Dont know whether you used "Zerro" on purpose but quite apt for this thread so far!:D
Urban dictionary definition Urban Dictionary: Zerro:
The ultimate infinitive. One who is in a state of mind which alters perception to achieve a new infinite reality. What is, was, always, and will never be.
"I am Zerro. What you say, do, think, and believe is what I want you to. I exist where I want to exist, and when I want to exist; Forever and ever, always and never."
oooookay....Quote:
Originally Posted by doug3030
I'll have a stab at it.
preliminary warning, this is what I think, I ain't a mathematician and certainly not an expert, but it is a serious attempt. Stop here if you don't like serious! :-)
All the base-n systems we know use n symbols to represent numbers and are place holder related, eg:
binary (base-2) has two symbols (0&1) and the places represent 2^n ... 2^3 2^2 2^1 2^0 (ie ...8 4 2 1) so for instance binary 1001 = 1x(2^3) + 0x(2^2) + 0x(2^1) + 1x(2^0) = 8+0+0+1 = 9 (in decimal)
ternary (base-3, which was mentioned before) has three symbols (0, 1 & 2) with places representing 3^n ... 3^3 3^2 3^1 3^0 (ie ...27 9 3 1)
so for ternary eg 1021 = 1x(3^3) + 0x(3^2) + 2x(3^1) + 1x(3^0) = 27+0+3+1 = 31 (in decimal)
decimal has 10 symbols (0, 1...9)
hexadecimal has 16 symbols (0, 1...9, A, B, C, D, E & F)
SO, I think base-1 only has one symbol (1) and follows the form: 1^n ... 1^3 1^2 1^1 1^0 (ie ...1 1 1 1)
decimal 1 = 1 (base-1)
decimal 2 = 11 (base-1)
decimal 3 = 111 (base-1)
decimal 4 = 1111 (base-1)
decimal 5 = 11111 (base-1)
decimal 6 = 111111 (base-1)
decimal 7 = 1111111 (base-1) etc... you see how it goes. And no, I can't imagine how zero is represented, but it must exist in base-1 because any base-1 number subtracted from itself must equal zero.
Regards
SWK
im guessing 10 means 2 but I am 1
Sorry this is wrong. For a base-n system to work, you can only have number from 0 to n-1. For example base 10: 0 -9, base 2: 0-1, base 16: 0-F (which is 15). n itself automatically becomes 10.Quote:
Originally Posted by swk
You failed to follow these rules so there is no point to examine further.
I did a bit more digging as the issue of the zero puzzled me a bit. It seems as though the base-1 system (Unary, I now know it is called!) is a system which has no zero (a bit like the roman numbering system).Quote:
Originally Posted by Wongo
So base-1 is the odd one out with the zero rule.
Actually a better way of saying it is there are _two_ types of base-n numbering systems for each n. One with a zero value place holder (surjective? as in Wongo's example) and one without (bijective). Except for base-1 which can only be the bijective system as only one symbol is available (hence no zero can be used).
Isn't wiki a wealth of info... :D
Regards
SWK
Wow what an amazing system. 6 sticks represent 6. 7 sticks represents 7.
Happy birthday Bob. How old are you again, 56? Wait let me get my unary handbook out. Oh 56 equals 56 candles. [sigh...] :DQuote:
In some cultures it is traditional to decorate a birthday cake using the unary system with candles to represent age. This exploits the unique property of the system that there is no requirement for any ordering of the symbols (that is, the age can be read from the candles regardless of how they are arranged on the cake).
Thinking deeper, I suppose unary is really the most primitive way to represent quantity. As long as you don’t use numbers then I am OK with it.
So what does this mean to us?
It does not matter how careless you are with your table saw, as long as you have at least one digit left there is a system to let you still count on your finger(s).
Ok so who is coming up with base 0?
:U
Regards
Silly as it sounds, it isn't quite as useless as you think. It's actually a big intellectual leap to understand that a stick can represent something else and a bunch of sticks can be used to "record" how many of those other things there may be.Quote:
Originally Posted by Wongo
Early shepherds before counting became so common could (for instance) carry a bag of pebbles for the number of sheep they had. Counting off pebbles as the sheep went out in the morning, or in at night made sure there were no strays.
And yes, it becomes very cumbersome very quickly, but for small quantities our earliest ancestors dealt in it was probably good enough. Then the Romans seemed to have used the "tallying" system but introduced short cuts, V for 5, X (two Vs) for 10 , L for 50 etc
Regards
SWK
And the knights of old used to through a pebble in a heap on the way to battle and pick one up on the way home, what was left in the heap were how many casualties were suffered.
Regards
Looks kinda like roman numerals. They didn't have a concept of zero did they?Quote:
Originally Posted by swk
Unary? So you on everything so its yours? :think: :D:Quote:
Originally Posted by Wongo
This is also true of jokes in this forum:UQuote:
Originally Posted by A Duke
Sounds like a dog marking its territory.:DQuote:
Originally Posted by tea lady
Hence the terms calculate, etc., from the Latin calculus, meaning a small stone or pebble.Quote:
Early shepherds before counting became so common could (for instance) carry a bag of pebbles for the number of sheep they had. Counting off pebbles as the sheep went out in the morning, or in at night made sure there were no strays.
I always thought my maths teacher must have had rocks in his head for trying to teach calculus to someone like me - looks like I was right :UQuote:
Originally Posted by AlexS