#Prove that 1+1=2 without using any math
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No, this thread will never die
Thank you fans!
There will be a test at the end
fortunately for you there shall be NO END
because I checked with a philosophy group and found out that there are different kinds of One & Many
then we are going to conduct a series of physical experiments
we are going to ask whether math is emperical to physics, or physics is empirical to math
I should not be very difficult to follow
I am beginning with some warranted premises
1st, that math evolved
so 1 + 1 = 2 is a product of evolutionary processes
Then, math evolved out of ideas
what are some of the most primitive and general ideas?
1 + 1 = 2 is a great starting point for many historical & modern ideas in philosophy
mathematical philosophy is born
we could also use this to develop a sort of musical philosophy
maybe
I'm just an imaginitive artist
not a mathemetician
I'm as surprised as you are that I am here
I just thought the topic title was excellent
and I agree with others here that this topic should live for the life of the server
it's a very humbling experience
little ol' 1 + 1 = 2
will topple the greatest minds on this server and beyond
you might as well try to square the circle as prove that 1 + 1 = 2
AI cannot do it either
they are programmed for 1 + 1 = 2
like most of the world's human population
you are just programmed for it
the idea of seriously examining what is being said drives you bonkers
at least you guys are talking pi
that's at least periphereal though tangent to the subject
oh wait that goees in the 360 thread
5000 word thesis ๐
@last hatch can you compile everything you are saying and have said in this thread to a single document?
It would be more coherent and easier to digest thanks!
Agreed
the voices
the voices
If someone will compile this, I'll write a doc
I'll revise all of it
I don't know if it's worth it
it's not scholarly research
however, we could develop this into something more scholarly
we need a lot more facts
and I don't have a thesis statement
I'm all over the place
I don't know what I'm trying to say
I'm pretty sure that the quastion just sparked a lot of thought about the ancient history of math
so it's not math, per se
but the history of math
but that's a really good way for us to learn more math
this whole thing about the sexagesimal system meeting the decimal system intrigues me
who was it?
they must have been bordering civilizations?
two bordering cultures
here's an idea
spose that they were very isolated from eachother
and each expanded outwards until they touched eachother
relatively speaking
they each got bigger and bigger until their ideas crossed over
wait a minte
this belongs in the 360 thread
OOPs
That's what I get for monopolizing two threads at once
OK
we are talking about 1 + 1
yeah either way I don't know what I'm talking about
OK what is the take away from what I've said?
you tell me
I'm not even done with 1 + 1 = 2 yet
No one here has yet defined the number 1
we have not even gotten started
Go ahead and try it
If there is any takeaway that I would want you to get
it is that it's ok to think
just think of something
what is 1?
it's an idea
can we agree upon that?
what idea(s) are in 1?
if there is more than one idea in 1 we are already in trouble
we need to make strict accounts of the term 1
someone says that one and many are the same thing
well if that is so then why do we need to add anything to 1 in the first place?
if the objective is to produce many
from 1
now I see that my greatest mistep here was in not conducting this as a Socratic dialogue. Maybe the OP can retreive control over the topic?
just ask quations about the terms used in teh mqin quastion
the main question
let's see if the OP can elicit some kind of response
I think there's a solution to this
In 1 + 1 we have what they call individual discrete objects
that's on one side of the equation
on the other side is 2
2 individual discrete objects
input = output
we have only changed the label on them
that's all that unites them
BUT they are still the same individual discrete objects
so no unification has occurred
what has undergone a process of unification here?
IF unification had occurred we would have 1 + 1 = 1
just as if I had added 1 drop of water to 1 drop of water
i would not get two drops of water
but one drop of water
I want everyone to conduct this experiment in Lab
wear your goggles and gloves
take two drops of water and add them together
what is the resulting number?
and what is the cause?
someone DMed me and suggested takling 1L of water and adding 1L of ethanol to it
now what happens?
why?
If we can master the ideas in this book, I think we will have a good understanding of the operation of addition
there are lots of ways to conoin things
conjoin
in the case of adding 1L of water to 1L of ethanol we get less than 2L of solution
but note that all I did there was to reclassify them into a higher ranking order called "solution"
I regrouped the objects into a higher catagory
1 apple + 1 orange = how many apples and oranges?
the only way to add them together is to relabel them as fruits
nothing was physically joined together as the two drops of water
it is significant that in some cases the items are heterogenous and in others they are homogenous
as in the case of ethanol and water
according to Viete heterogenous terms do not affect each other
but that is a matematical concept
I am asking from also a ohysics point of view
physics
now should math be empirical to physical fact?
or should physical experiement stand as empiriacl in the face of mathematics?
mathematics is an imaginery construct - a work of the imagination
physical experiment seems to be closer to what we would call truth
if I breed dogs and add one dog with another dog and get one dog, a composite of those two dogs
how many dogs are there?
there is one dog
or we could say that there are 3 dogs because the two original dogs are still present
1 + 1 = 1
or 1 + 1 = 3
results that are in accordance with physical experiment
1 + 1 = 2 does not apply
what happens when we add 1L of water with 1L of ethanol?
this is a case of heterogenous substances
yet they affect each other contrary to the mathematical statement of Viete
and they produce less than 2L of solution
and we had to recatagorize them by dropping their former labels of "water" and "ethanol"
and combine them into a new catagory
"solution"
so now we are trying to define the + sign in 1 + 1
someone might say "math is math and physics is physics"
IDK
why use math in physics then?
why develop new maths for the frequent dilemmas of physics?
just take all of the math out of physics
and keep the physics people away from the math people
who started this anyway?
what came first? math or physics?
it must have been math
math can be practiced without physics
if we abolished physics we wuld not abolish math with it
but if we abolished math, we would abolish physics along with it
therefore math is prior and physics is posterior
i actually did think about this when i was in eighth grade but everyone just called me dumb
i used clay balls instead of water
so you were thinking of this mathematical problem while manipulating a physical medium?
or did the manipulation of the physical medium generate the ideas?
it's astounding that math - a work of the human imagination - should have such profound effects upon physics
started from addition yeah
I don't know if they can be separated
in my earlier examples I depicted primivive humans developing math while manipulating physical objects
and math is taught in association with objects
we need physics to stimulate new math
where do ideas fit in this?
and what are the ideas?
What do you think?
It seems like math is always a little bit ahead of physics, no?
Einstein and Planck did not dream up entirely new orders for the universe without prior knowledge of math
what the fuck
doesn't it drive yuh nuts?
fr
OK so now we are on the meaning of the operation of addition
otherwise known as the "plus" sign
or +
here's a tickler
the word plus comes from the word plu
plu means many
it's the root of the words plus and plural
so
many is an idea presented before the operation has been completed
the idea of many is present in the number 2
so either there are more ideas in the symbols for many
or it is a redundancy
because it would be a request or command for us to many-ize 1 + 1
now that makes sense
because 1's are suposed to be discrete units
and are not suposed to be many
2 is many
but it is produced by the many-ization of the unit
but I would think that the way to the many-ization of the unit would be through division
sorry
at the time of this mathematical development 1 could not be divided
another option is that it is NOT asking us to many-ization of the unit
but it would seem so by the use of plu
they may not have had this word or the root for any other word associated with it
I just think it's an interesting take
more than interesting because the original meaning notwithstanding,
the modern use of plu in the reference to addition may have altered it's original intent
if we admit the other word plural it is asking us to pluralize the input
so that the output is many
this is a problem also
the input already appears to be plural 1 + 1
that's 1's (plural)
but the output on the right hand side of the equation is singular
hmmm
YEAH
TERE MAY BE A CLUE TO THIS NOW
The left side input is plural and the right side output is singular
ha!
that's the opposite of what I first thought about this equation
remember I said that the 1 represented the ONE
and the 2 represented the MANY
so the equation could be reduced to ONE = MANY
but now we are faced with an inversion
because if we consider that the left hand side is already plural
and the right hand side, the output is singular
then MANY = ONE
that is why I began with looking at ONE & MANY
though I had no conscious objective in mind to arrive at such a conclusion
From the essay on UNIVERSAL & PARTICULAR:
"In the chapter on ONE AND MANY, the question takes the form of asking how two or more
things can be one in any way. Again, both science and common sense seem able to deal
with an infinite number of individuals by applying a single name to them or apprehending them
all under a single concept or notion. But it may be asked what justifies the denomination of
many things by one name. What unity in the things verifies the tendency of thought
to unify them conceptually? Does a real unity exist in things, by virtue of their being somehow one
as well as many, or as a result of the many somehow participating in a one which exists
separately from them?"
since math is so often associated with counting and objects
and there would seem to be some controversy about the existence of disrete objects
and even the existence of matter
no one has yet argued in favor or against the notion of discrete objects
Berkeley is against the idea of matter
you might want to read Locke, Berkeley and Hume
our terms are in need of definition
:>
What in the adhd is this
more like fifth
i feel like this was secretly their thesis or something and now they finally have an excuse to talk abt it
Blud gonna get a phd in 1+1=2๐ฅ
then there is no one answer to 1 + 1 = _?
in decimal 1 + 1 = 10
someone wrote to me and said that in some physics 1 + 1 = 0
this is in the case of 1 particle being asdd to an anti-particle or something like that
some of you might know better than I
I would argue that the equation is poorly expressed
it should read -1 + 1 = 0
and that is standard
Addition in Z/2Z be like
what about this physical experiment with 1L of water added to 1L of ethanol?
any comments
?
1L of water + 1L of ethanol = less than 2L of solution
1 + 1 = <2
and 1 drop of water + 1 drop of water = 1 drop of water
1 + 1 = 1
what do you say about this?
What about the history of 1 + 1 = 2?
"The concept of 1 + 1 = 2 predates recorded history. The idea of counting and simple arithmetic likely arose from early humans' need to keep track of quantities, such as counting possessions or keeping track of days."
"Formal systems of mathematics that explicitly stated 1 + 1 = 2 developed much later. Egyptians, Babylonians, and Greeks all had numeral systems and methods for performing calculations, but their mathematics wasn't based on axioms and theorems in the way modern math is."
"An interesting fact: Bertrand Russell and Alfred North Whitehead, in their famous work Principia Mathematica (1910), attempted to build all of mathematics from logic using axioms and theorems. One of the things they sought to prove was 1 + 1 = 2, which gives you a sense of the depth and rigor they were aiming for!"
I believe Frege was also trying to prove that 1 + 1 = 2
it drove him to the nuthouse, is what I heard
what in the
what the yapping
real
real asf
@last hatch what did you master in?
Yapology
Yapology
Best yapologist Iโve ever seen
By a margin
Phd in yaplogy, side job in adhd
he came from Yappistan
Yappreich!
I ma 99 years old. I am still in te 1st grade, dey wont let me go to 2nd til I say 1 + 1 = 2
but i wont say it!
Whose gonna tell him?
I'm reading in the philosophy of math
it seem that objects are not needed for the development of math and counting
you can count ideas
any bconception of opposing ideas or divisions of ideas could lead to math
check out husserl
philosophy of arithmetic
WITHOUT USING MATHS MY FRIEND, MATHS IS NOT COMPLETE... MATHS IS THE KEY OF MATH I KNOW ITS HARD TO UNDERSTAND BUT GIVE IT A TRY..
math is plural itself
no the word is maths
although perhaps math's would be more correct as it is the abbreviation of "mathematics"
math would be the abbreviation of "mathematic" or perhaps "mathematical"
no they are not
yeah good luck pronouncing maths without having it sound like mats
and without it sounding stupid
i mean, its pretty easy
unless you have a speech disorder or something
it really doesnt
to me, simply saying "math" instead of "maths" sounds stupid
so i believe we can chalk that up to familiarity
maths.. its not that hard
you just have a hss sound
"good luck pronouncing math without having it sound like mat"
matpat = mathpat
fr
Learn how to say/pronounce maths in American English. Subscribe for more videos!
Learn how to say/pronounce mats in American English. Subscribe for more videos!
th and t are easily distinguishable but imo ths and ts are nearly the same
how does the s change it
that makes no sense
"1 and 2 look distinct but imo 10 and 20 are nearly the same"
cuz when you're pronouncing s you're still having more of the edge of your tongue touching the top of your mouth
which is similar in the case of ths
and behind your teeth
which is still similar to ths
Check out my website or send me an email if you are interested in private speech therapy sessions with me and you are in the state of Maryland.
If you are wondering how to fix a lisp and how to say the "S" sound perfectly, stay t...
plus maths just sounds stupid in general
again, this is entirely subjective
a majority would agree
the poll place dhere would be biased
how?
what variables would affect whether or not it would be perceived that way?
there's literally more Indians in this server than americans
i would predict which is more familiar
exactly
uhh do indians say maths or math
ganit
If a poll were to be made, it would have to include the detail of which is more familiar to them, math or maths
And then we count the results which contradict that
just ask which sounds more comfortable
And scale the to each other
Too subjective
To me, maths is more comfortable, to you, math is more comfortable
which sounds more comfortable
I do not believe there is truly a meaningful difference
When I hear "math" and don't get the s at the end, it makes me uncomfortable because I was expecting it
as long as it provides a more efficient path in communication I believe it's also comfortable
So o think math sounds stupid
Using math for the adjective and maths as the noun is more efficient
Because now you can distinguish them
A distinct abbreviation for mathematical
Vs none
"i like maths"
oh I like mats too they're soft and make me warm
Clearly the former is more efficient
Based
clearly not in communication. heads up, you can't see the words in the air
be honest with yourself
Similar but not similar enough that one could confuse the two
I have never observed an instance of that occuring
Which anecdotally validates my stance
contextually in most cases they won't be able to confuse the two
Yes
So it doesn't matter anyway?
maths sounds stupid
I disagree
imagine having to keep your tongue up right after you just put it there so you can make a hiss sound after
truly fucked up
royally fucked up
Hey, speaking of dead English, yknow what we do need to bring back?
"Thou"
It distinguishes reference between an individual and a group
ill need to think about that more ive not had many problems with "you"
how
how did we go from 1+1 lore, to weaponised adhd, to shakespear
am i in a fever dream
Group of people comes over to u with someone u know leading them
"What do you want?" --> what does the group want
"What does thou want?" --> what does that person you know want
i see
i mean you can still use it and people would understand
it's an optional thing now
sounds cooler too
go to a mat fetishist and tell him "do the maths"
you would make their day
in alot of countries they could prevent getting sued because of misunderstanding the word
it im pretty sure semen stains can be cleaned from the materials that make up mats and so it's not exactly damaged property
but what do I know about law am i right
Naaah ๐
Tbf, I should have expected this from a "coitus master"
even if you did win the lawsuit, they can't un"do the maths"
your best friend goes to jail and your maths are covered with their calculations
it's a lose lose situation
all because you added an s at the end of math
Your imagination is a weird place man
lol
This channel is wild
everytime each and every single one of your family member steps on one of your carpets you would only be struck in the head by the picture of that innocent mat connoisseur experiencing freedom they've never felt before
heck if you never knew they did "do your maths" a bunch of people would have had sticky feet until someone noticed what the fluid comprised of (if it's still wet) and took a dna sample
all because you added an s at the end of math
This channel lmao
we get 10 and 20 from 1 and 2
abolish 1 and 2 and there is no 10 and 20
it's called representation or analogy
don't forget "ye"
"what doest ye want?"
"I wot not"
"thou knowest not what though wot?"
"I durst not think on it!"
"I wouldst that thou wert wont to will it"
specialfists
the idea is to be totally immersed in the experience of 1 + 1 = 2
Been thinking about this and it seems likely (to me anyway)
that the first number was not 1 or 2 but 3
and that both 1 and 2 were perhaps derived form 3
wshy?
because if we take as our premise (and I'm not committed to this premise)
that numbers came into being from the placing of stones or other objects into shapes and patterns
i can't see much in the way of shapes that can be gotten from 1 stone or two stones
the most basic shape will be the equilateral triangle
so i think 3, 4 and 5 were the first number
2 was derived from the side of 3
the triangle 3 has a side of 2
just place 3 peas or beans or pebbles in a symetrical shape on your table
that will be the equilateral triangle
and count the number in each side
2 is the side of 3
3 is the side of 6
4 is the side of 10
...
my point is that 2 is derived from 3
counting objects
in shapes
requires that 3 be the 1st number to have come into being
1 must have taken 5000 or 10000 years to concieve
it's that complicated
there's nothing to go on
however, it is not neccesary that objects be counted
ideas can be counted
all we need then is any opposing ideas
to produce the number 2
like right & left
up & down
god & man
reality & dream
life & death
any of these pairs of ideas could have led to the formulation of the concept of 2
good & evil
same & other
singular & plural
well singular is 1
anyway
2 can be derived from our two hands
two arms
two eyes
the bilateral form of most organisms
well these are objects
not everything I listed was a physical object
i was thinking of objects of thought
ideas
i came to this math forum because I wanted to know if 1 + 1 = 2
i was going to post Does 1 + 1 = 2?
and hope that I would not be banned
instead i looked it up first
i searched for 1 + 1 and got led to this channel
some brilliant mind had already thought of the topic
but they phrased it differently
the title is Prove that 1 + 1 = 2 without using any math
But that is just the same as asking Does 1 + 1 = 2?
because if it cannot be proven then there is no reason to accept it
and if it can be proven that is reason to accept it
if it can be proven not to be true then we must reject it
all physical experiemnt seems to support any number other than 2 on the output of the equation
physical evidence seems to support 1 + 1 = 1
in other examples it equalled 0 (that was a poor expression of a physical experiment)
in another it was less that 2 (in the case of 1L water + 1L of ethanol)
so our taskis still to prove that 1 + 1 = 2 without the use of math
i take this to mean no oter math or possible no higher math
what did the OP mean?
because i would like to go ahead and see if I can prove that 1 + 1 = 2 in spite of physical evidence
but I must be able to at least use the math provided in the equation itself
is this a fair and acceptable request?
and I will try to rely upon logic since math is a species of logic
and i will try to avoid circular arguments or tautologies
WAIT
it may only be that my mind was overtaken with some delerious fit
some delusion that i can prove that 1 + 2 = 2
I have to begin with a disclaimer
i don't think it can be proven
but I think I acn explain what it means
that might help
some delusion that i can prove that 1 + 2 = 2
CORRECTION
some delusion that i can prove that 1 + 1 = 2
I think I got too excited about 1 + 1 = 2
I couldn't even type straight
1st, if 3 was the first number
and 2 was derived from the side of triangle 3
then 1 could have been derived from physical experiment
physical experiment challenges Russell's idea that 1 took some huge leap of mental power
i simply put 2 things together and 1 is born
3 is the origin of 2
and 2 is the origen of 1
if i have 1 lump of iron and another lump of iron
i can melt them down and mix them and get 1 lump of iron
1 + 1 = 1
as I said in the beginning
then 1 is derived from 2
in accordance with physical fact
next I want to demonstrate that 1 + 1 = 2 as a work of imagination
what the fuck
welcome to the wonderful world of weaponised adhd
we reached 1000 messages
what a great milestone
so 0.5 x 2 = 1 so 0.5 + 0.5 + 0.5 +0.5 = 4
(he thinks its well defined)
L
yeah
that's a pretty good wrong answer
I am attempting to define it
and there just happen to be a lot of interesting ways to think about it
now don't get me started...
WDYM U HAVENT EVEN STARTED YET!??
go back to the beginning (if you were ever there in the first place)
It's only 1590 posts. That's nothing. Grow some tits!
To continue
I want to turn full time to look at the operation of addition in 1 + 1 = 2
This part of the discussion is about the + sign
Now it seems to me that this operation could be derived from the placing of stones in shapes
so that + may mean just that - giving order or shape to the content
this can be done physically by bringing objects into spacial order such as the formation of triangles or squares
and/or it can be an operation of the imagination - bringing images into relations
I can have the objects i front of me or I can produce images of objects in my mind
I can also work with pure objects of thought - ideas
I want to explain some of these types of thought processes
it's very simple for me to imagine one drop of water and another drop of water together in my mind
and I can bring them together and combine them into one drop
but I can probably only do this because I have seen it happen in the physical world
the question is whether I could perform this exercise had I not witnessed it first in the laboratory
what about physical object which are known to not result in an output of 1?
Such as 2 dogs
or 2 apples
what does it mean to add two dogs together?
or two appes?
apples
well, when I add two apppes in my imagination I have not added apples at all
This is a waste of time, please stop wasting your time
I have added images of apples
what is an image of an object
such as an apple?
spose I have an apple and I take a picture of it
and spose I make copies of this photo and place them side by side on a wall or on your screen
how many apples is that?
Is it one apple that I took a photo of?
or is it two apples?
Seems to me that we have one apple
but two images of that one and the selfsame apple
SO we are looking at these two images side by side and I ask you "How many apples are there?"
what will be your answer?
If you asked me the question I think I would immediatley say "There are two apples"
They are not two apples
they are two images of one apple
now that is how the mind can work
it works not with apples but images of apples
if you ask me to imagine two apples in my mind
I am likely to imagine two generic apples
the same apples
or we could say two images of one generic apple
then what is it to add these images together
in all cases whether physical or imaginery
the input and output of the equation are the same
in 1 dog + 1 dog = 2 dogs
two dogs were there at the start and we end with two dogs
so we are after the meaning of addition
that is the objective now
1 image of 1 generic dog + 1 image of one generic dog = 2 images of one and the selfsame dog?
then there are 2 images but 1 dog
if it's a generic dog
you might want to supply images of 2 different kinds of dogs
that is another case
but it's easy to see how 1 + 1 could = 2
or 1 + 1 could = 1
how could 1 + 1 = 1?
we talked about catagories before
I think the key point is that 2 items could be combineed under 1 label
so 2 is a single label for 1 + 1 objects
this is where the addition has occurred
Are there any questions concerning the OP or anything that I have said up to this point?
If you have been talking math, you are not blocked
feel free to discourse upon this and ask questions
there is a lifetime of learning to be had from the main question
yes
I thnk that's about all I want to say on this
This is the kinda shit 4chan people do
but I may have missed something
I have a feeling I may not have been thorough enough
something about abstract thinking from Locke, Berkeley and Hume?
It would not hurt at all to go back to the beginning of the conversation and review everything
leaving no stone unturned
we don't want to be sloppy
Toppy
thank you beethoven
are there any questions?
about mathematics?
about 1 + 1 = 2? that glorious equation of all equations
don't even get me started on E=mC2
that's another one I have big problems with
Nah logic is tautology and math is applied logic
therefore math is a tautology?
It's tautology all the way down
Yes
Real
unpinned
:3
fundamental crisis in mathematics be like;
Can you define 1 or the idea of ONE?
A thing exclusive of other things
WOOOOT! Now we are getting a start!
how did you figure that one out?
To say "1" is not much different that to say "โ"
If you put a bunch of โ's in these thread people could get the impression that you know what infinity means
I graduated from the 8th grade.
So we say 1 but that does not mean much
if we don-t know what it means
ohh and when did you get interested in math and philosophy?
but Metactal says that 1 is*** "A thing exclusive of other things"***
do such things exist?
a thing exclusive of other things can not be exclusive of itself. hence such thinks dont exist. 
well a thing exclusive of other things would be exclusive of it's parts
then such things do not exist
If the universe is infinite then there are no things exclusive of other things because all things are made of parts.
an infinite set of parts
in an infinite universe all things are composed of infinite sets of parts
That is why to use the symbol for infinity โ is just as ignorant as using the symbol 1 for one.
Do we know what we are talking about when we use the symbols 1 or โ?
I mean you can post equations here that include a hundred โ symbols but I doubt very much that we or you understand what is being attempted to communicate.
My question is what are people talking about?
What are the ideas behind the symbols?
The math might be very orderly but the ideas are messy little devils.
a set which is exclusive of any other sets perhaps?
no thats not right\
if we were to say "we have 1 car"
the car would be a set of objects
but if the car were red for example
it would also be in the set of red things
Well, now we are getting to the root of the problem.
When I say that in an infinite universe every single thing is composed of an infinite number of parts
we are either dealing with a dichotomy or an equivocation of terms
there is either an outright contradiction at the core of the idea or ideas
or an equivocation of terms between the uses of "Infinite" or "One" or "Universe" or "Compose"
Possibly the terms have being used in slightly different significances?
Those might be the best places to search the dilemma.
When we use any of those terms there could be alterations of meanings.
What does infinite mean?
Are there different kinds of infinity?
Is there linear infinity and circular infinity? Is there a spiral infinity?
Is there an infinity of extension and an infinity of intension?
Does it matter?
And this is math, because every time someone uses the โ sign in an equation we have to ask what is it's significance.
And it is very much like discussing the idea of the number 1.
As a matter of fact there is no difference.
So if there is someone out there who is befuddled when they see these equations pop up with โ in them
The math is really no more advanced than 1 + 1 = 2
and the people who are using these equations do not have the slightest understanding of what they are talking about
These equations appear to me to be devoid of any literal significance
it's nonsense
no one
no one knows what infinity is
so the symbol โ is as meaningless as the number 1
In his classic book, Language, Truth and Logic, A. J. Ayer says that a statement has no literal significance if it cannot be verified through experiment and observation.
So a claim like "Angels can fly" makes no sense because first, there is a hidden assertion that angels exist. That is the first proposition hidden in the statement.
Such a statement neither can be proven nor can we even concieve of an experiment and observation that would demonstrate the existence of angels.
Such is the problem with One & Infinity (note that we began with the ideas of One & Many last week and now we are ready to replace those terms with One & Infinity)
We do not know whether infinity exists, just as we ran into trouble with the latest definition of One. Neither can we even concieve of an experience that would prove the existence of the infinite.
We arrive at our notions of Infinity by way of induction. We keep going further and further out into space and keep finding stuff out there, and we keep boring into particles and ejecting other particles and never get to the end of it. By induction we conclude the infinite. But ultimately it is an unverifiable abstraction, an object of thought.
We might as well be talking about God. The mathematician seems to be no better than a theologian.
So what good is the sign of infinity โ ?
If I have it on my keyboard it is a nifty bit of shorthand. We are talking about an idea that we know little about and are wasting time and energy. It is nice to have one symbol so we can save 7 of the 8 strokes that is requred to type the word infinity and just replace those 8 letters with the one symbol โ.
So now we can drop talking about indfinity and just say โ
and I have just graduated into the worl of higher mathematics. But it's really not anything different than having a secret decoder kit for sending secret messages to people.\
Instead of using 8 letters to refer to the idea of โ I now use one letter or symbol.
The same thing that was done with the invention of the numb er 1
we conjoined some ideas into one symbol
that is what the + operation signifies
So, since I don't know what I am talking about, I might as well use these symbols freely and let you put some interpretation to them.
I can say 1*โ or 1/โ or anything else about 1 or โ because I don't know what I'm saying anyway.
That is what makes it higher math.
But there is some significance if I attach some meaning to the symbols and inform you of what these symbols now represent
since our discussion is about One & Many, we could just agree that for this conversation that idea can be represented by the expression 1+โ
This reduces 10 keystrokes (including spaces between words) to 3 characters
If we are going to go on and on all day talking in circles about One & Many we may as well take advantage of the reduction of labor by using 1+โ
We have now used the operation of addition to relabel that whole phrase of three words by 1+โ
There is a difference though, because we did not recategorize anything.
Now mathematicians know the vocabulary and the grammar of math better than I do
so they might complain that I am not adhering to strict convention in my use of terms
but they miss the point. If we agree to call an apple a "peach" there is no problem as long as we agree to it
for a limited audience we can use terms any way we wish too
I am not speaking as a professional mathematician
I talking about logic
We can label objects of thought as abc or we could label them as edf
as long as we agree to it there is communication
Now with 1+โ we can go around and around in circles all day and save time doing it!
Now what can we say mathematically about 1+โ?
Can we use any mathematical expression without reference to prose writing?
There has to be some explanation to give significance to E=mC2
You have to read the book
The ideas are expressed in prose
Einstein talks about walking across the floor of a moving train
He writes about falling in a box or an elevator to the earth and the experience of weightlessness
these are stories
He writes about standing at the center of two bolts of lightning that hit the earth simultaneously
and talks about the movement of the earth and the movement of the observer
this is all narative writing that eventually leads to E=mC2
without these narrative E=mC2 has no significance
so while you are running around talking equations I think it our business to ask people what they are talking about
and you have to be able to explain it with experience and observation
We can't allow people to just put out 1 or โ without explaining what they are talking about
if one person can speak gibberish allow me the same luxury, please
Don't get me started
Now this was good because someone is speaking math in terms of ideas
That was great that statement by Metactal gave us somethung to think about.
I'm glad you produced that
This is not a question of being right or wrong
We want ideas
@indigo vapor Where did you get this definition?
hey you are sharp!
That idea that you brought in help us to clarify what the issues are here
so I consider it to be a very important contribution
when I dropped out of 9th grade
no that's not serious
I am flabbergustered that I am writing on a math forum
I'm a poet
but I did graduate from teh 8th grade
and I continued my education independently
mainly by reading a great multitude of classic books
beginning with classic literature
and working my way through all of the greatest books that have ever been written
I'm a student of the history of ideas
I want you guys to give me some input here. If we are going to talk about One & Many or Particular & Universal or Part & Whole, would it be best to abbreviate our language by using 1+โ or the form 1&โ ?
we could also use this expression to refer to the phrase "as the whole is to the part"
we are going to be talking about this again when I discuss the Elements of Euclid
I would like to go through the first six or nine books of Euclid sometime
I think Euclid discusses the idea of the relation of part to whole in books 5 and 7
Is unity a part or the whole?
and is infinity a whole or a part?
now here an equivocation may have seeped in
is the part equivalent to a part?
and is the whole equivalent to a whole?
Because I altered the form when I just said "Is unity a part or the whole?
and then I said "and is infinity a whole or a part?"
the forms of the phrases were not strictly uniform
and I am wondering if an equivocation could occur?
I used the article a and the article the
then I dropped the in favor of a throughout the second phrase
A is the indefinite article
The is the definite article
yeah i was concerned about using articles like "a"
"Something exclusive of other things" eliminates the "a" but introduces a new problem
the "some" in "something"
what is "some"?
LOL
HEY EVERYBODY LETS PILE ON MET FER ASKING WHAT SOME MEANS!!!
YUK YUK YUK
BlaagagagGAG
Hey Met don be so gullible man
Ise trollin yuh due
dude
No but seriously
what is some?
I think that Whitehead brings that up in chapter 2 of An Introduction to Mathematics
So you might want to tune into that book
Some is a concept in logic
You are smart enough to ask the question
Have you read anything on this?
Wait, doesn't some have two meaning in logic?
I think one is exclusive and the other is inclusive
so it may be pertinent to your expression
but did you say "something"?
I thought that you said "A thing"
"A thing exclusive of other things"
I give you credit for being clear and concise
We can test both expressions, if you like
what was your concern with the article a ?
rather than the?
I just noticed it while I was writing those phrases about part and whole
but I can't put my finger on it exactly
sometimes you just have a hunch or intuition
these things are working in the recesses of the mind
and have yet to make appearence to the conscious self
If you have thoughts about this feel free to interrupt at any time
What was I saying?
Is unity a part or the whole?
Is unity a part or a whole?
Is unity the part or the whole?
Is infnity a part or the whole?
Is infnity a part or a whole?
Is infnity the part or the whole?
You might want to treat your phrases the same way and we can examine them more closely
I don't know if there's much difference
except for some doubt when I enetred those posts
and then you said that you doubted how you were using the language
Sometimes, it's best to just take note of it and continue
Sometimes it's best to let it gel
that can only happen with time
then it dawns on you at some unexpected moment
and then you go "I thought something was kiddywomkus there"
No wait
it's not some that is the big issue in logic
it's the word or
that's the one they have to clarify in basic logic, no?
Or is the word that can be used exclusibvely or inclusively
I got that mixed up with some
what is the issue with some ?
some thing is indefinite
I think that something sounds more definite to me
just by bringing the two words together
it's still indefinite
but it's relative
it seems to be slightly less indefinite
does that make sense?
but maybe not
nah
they're both the same?
I think A thing exclusive of other things works well for what you wanted to express
I have no idea
I just make up shit at the keyboard
anything that pops into my head
then I read it and see if I can make sense out of what I thought
https://youtu.be/xCrN2jwjsSs?si=0vaZnqk83Wn6_ne- I hope you understand spanish
...mรกs o menos.
En este video vemos la construcciรณn conjuntista habitual de los conjuntos numรฉricos.
Participa en los #premiosemmynoether
Capรญtulos:
00:00 Introducciรณn (todo es un conjunto)
03:50 Construcciรณn de โ
13:02 Construcciรณn de โค
23:20 Isomorfismo entre โ y โค
27:04 Construcciรณn de โ
32:38 Construcciรณn de โ
35:42 Construcciรณn de โ
36:...
Same
95% of what I say
i do
Ohh nicee
wait I'm spose to listen tosomething is spanish?
I think youshoud study sophosilly
he is speaking very rapidly. Looks ike he is talking about sets
but that's easy to see from the notation
is there some poit that relates to 1 + 1 = 2?
It talks about the conjunction of sets
He explain how to define 1 and how to define +
and that is relavent to the operation of addition
ok
let's see
it is also labeled Esto es MENTIRA which means that the info in the vid is false.
It literally means This is a LIE
Still, let's go through the vid and see if we can uncover the falsehoods
he must be a good liar to be able to lie contrinuously for nearly 37 minutes
not as good as Mr. Trumplethinskin
all of the vocabulary used in the equation 1 + 1 = 2 is convention and the whole of it is convention also
we cannot prove a convention
it just is
like driving on the right side of the road
we can't prove that
we accept it by convention
there are no natural laws that inform us on this
The infinity symbol (โ) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves of a similar shape studied in algebraic geometry, or "lazy eight", in the terminology of livestock branding.
This symbol was first used mathematically by John Wallis in the 17th century, alth...
This is about โ
I spose if we are going to use โ we should know what the convention is
the infinity sign is conventionally interpreted as meaning that the variable grows arbitrarily large towards infinity, rather than actually taking an infinite value, although other interpretations are possible
it says that "other interpretations are possible" so we can use symbols any way that we like if we agree
still, I think it good on a math forum to use conventions just as we woild use the conventions of language, in order to facilitate communication among the maximum number of readers.
It looks like the usual convention is: "the variable grows arbitrarily large towards infinity, rather than actually taking an infinite value"
right
but I think that was what we were thinking anyway with infinity
when I imagine infinity I visualize something growing or decreasing without ever actually arriving at any value at all
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
the line of infinity
โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ โ
line of โ with spaces
then there must be a whole mess of weird ideas like:
can โ be divided?
can โ be multiplied?
can we add to โ?
or subtract from โ?
it would appear to be a tool for philosophy
we could also employ the term โ in the expression 1+โ or 1&โ
to signify One & Many
that is where we left off yesterday
what about it?
I think it is very important that we dicuss โ in this conversation because that is how long we are going to be talking about this topic.
did you talk about the number 4 yet
that's coming up
I am thinking that we should go back to using an indivisible 1
Because the most consistent defintion of 1 that we seem to be getting is: A thing exclusive of other things
then 1 should be indivisible as it can have no parts
if 1 has parts it is exclusive of it's own parts
we are drawing out the initial problems that I introduced when I began posting in this discussion
the problem with 1 is the idea of One & Many
and it is not at all strange that we began with 1 and are now embarking upon a discussion of infinity
oh my god please shut up
because to go from one to infinity is the same as going from one to many
later dude
Lmfao
sophosilly?
Lol
rockhoven
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Garry Maths
$\aleph_0$
Garry Maths
rockhoven
Lmao
lets say u have a drop of water, then u put another drop of water, it become a bigger water drop :)
Calculate the change in its surface area
I bet the change in the surface area will be a multiple of 1
rockhoven
rockhoven has been timed out temporarily for 20m 
rockhoven
Can we use this now rthat infinity is part of this discussion?
$\frac10=\pm\infty$
rockhoven
Is this what I need for the ideas we are on now?
I have to write here once to get the number of replies to 2000
2001