Yes indeed science is not everything and is much more important to some than it is to others. I'm one of the others.
Yet here you are.
No, they are examples of what people considered to be facts, known truths. but based on incomplete or incorrect models.
Isn't the latter an example of denial and disinformation from those who actually knew better?
in reply to earlier, yes maths is not made of truths, it's just a model which works most of the time
Maths is considered a Universal Language (and [url= https://www.newscientist.com/article/mg20126951-800-mathematics-the-only-true-universal-language/ ]is used in attempts to find/contact aliens[/url]) precisely because it is "made of truths".
(we're not talking abstract maths with imaginary numbers and infinity here, we're talking fundamental "2 is more than 1")
[quote=GrahamS ]we're not talking abstract maths with imaginary numbers and infinity here
Though that is also a language of truths. They might be more complex ones, but it doesn't make them any more untrue than 2 being greater than 1. I see the suggestion up there that imaginary numbers are a construct, but they're not really.
maths is not made of truths
Pie is true
1 + 1 does equal two russell and whitehead proved that irrefutably
However, in 1931, Gödel's incompleteness theorem proved definitively that PM, and in fact any other attempt, could never achieve this lofty goal; that is, for any set of axioms and inference rules proposed to encapsulate mathematics, either the system must be inconsistent, or there must in fact be some truths of mathematics which could not be deduced from them.
it can find truths pie is true for example
Pythagoras's theorem is correct and true
the list is long but it is not infinite and it is not without limits
imaginary numbers are a construct, but they're not really
shit name then 😉
pah, semantics
that is why we need humanities*
*I have a science degree
1 + 1 does equal two russell and whitehead proved that irrefutably
That and a bundle of other things can be proven and 'true' but only within their own system of 'mathrmatics' ( which is not without its axioms). But mathematics is only a model of the real world, it is not the real world in itself. There are many real world incidents in which one and one is not two and that model can and should not be applied
Even if you agree that colonialism was a very bad thing for Africa
It is quite difficult to argue that colonialism was a force for positive change with a positive impact.
Why would you throw the baby out with the bath water? Ditching human progress and knowledge isn't going to make solving Africa's problems any easier.
I agree. However... We have previous for having a western-centric view of the world. Whilst I don't think a Pol Pot Year 0 type approach is a positive thing, trying to look around the edges of accepted wisdom is often worth a go. Historically it's often how we made progress.
trying to look around the edges of accepted wisdom is often worth a go. Historically it's often how we made progress.
Science does this, all the time.
Science does this, all the time.
That's what I was trying to say!
Cool, I agree!
But mathematics is only a model of the real world, it is not the real world in itself.
It describes the real world. Labels things in the real world.
You could argue that philosophically "cat" is just a word and is only a label for a loose collection of atoms that our learned social constructs model as a independent being that likes to lick its own arse.
But honestly, by the time you are arguing that cats don't really exist in the real world, it's probably time to pass the blunt.
Ultimately any intelligent life out there (on the same physical dimensional plane as us) is not going to get to interstellar communication without first being able to tell if they have the same number of suns today as they had yesterday.
[quoteIt describes the real world. Labels things in the real World[\quote]
I'm talking about the extent to which mathematics is used to model and predict the real world. Not sure what you mean by mathematics as a label
Sure in abstraction, 1+1=2 and it seems to have been proven as so, probably due to some axiom, pretty much because that is how that system was defined . But that only becomes useful when you apply that system to something,like say apples. Then it tells you something about the real world (ignoring for the moment, the social construction of 'apple'). In other cases this 1+1=2 model does not fit reality.
Not sure what you mean by mathematics as a label
I'm agreeing that, for example, 10 is just a [i]label[/i] for a discrete quantity. That label is obviously a social construct rather than a truth (and we label it many other ways: "ten", "dix", X, A, 1010, 12, etc) but the physical quantity which it labels [i]is[/i] a fundamental truth of our physical plane.
Which I think agrees with your post above too.
Comprehension failSure in abstraction, 1+1=2 and it seems to have been proven as so, probably due to some axiom, pretty much because that is how that system was defined
It was proved true because it is true.
An axiomatic system cannot prove [all of]its axioms
For example euclidean geometry assumes parallel lines never touch. It cannot test this as the system is built on it.
They can in non euclidean space - ie the real world where space curves due to gravity.
The system has limits on what it can find. you seem to think it is limited in that it cannot find truths. you are wrong.
With respect its not a debatable point you can be confused or wrong if you like.
tis true 10 is more than 9 and less than 11. Its pretty easy to demonstrate it as real. Remove some fingers see if you have lost anything other than an "abstract quality/social construct " of appendages 😉the physical quantity which it labels is a fundamental truth of our physical plane.
tis true 10 is more than 9 and less than 11. Its pretty easy to demonstrate it as real. Remove some fingers see if you have lost anything other than an "abstract quality/social construct " of appendages
Yes, in the scenario you described 10 is more than 9, so that model works for fingers. Does it work for rain drops? Put 9 raindrops in one glass, 10 in another. Which glass has more raindrops?
it can find internal truths but not general truthsThe system has limits on what it can find. you seem to think it is limited in that it cannot find truths. you are wrong.
CharlieMungus - MemberYes, in the scenario you described 10 is more than 9, so that model works for fingers. Does it work for rain drops? Put 9 raindrops in one glass, 10 in another. Which glass has more raindrops?
Neither has any raindrops.
Comprehension fail
It was proved true because it is true
😀
Neither has any raindrops.
You are not answering the question
How about if you add one raindrop to another raindrop how many raindrops do you have?
How about if you add one raindrop to another raindrop how many raindrops do you have?
I've lost track. If the answer is "one bigger raindrop, with the volume of 2 smaller raindrops, but millilitres of water might be an easier unit to describe the situation", is maths racist?
🙂
Sure, If you use millimetres to describe the situation, then the model is appropriate. But as you correctly answered in the first place, 1 plus 1 gave you one.
Here is another question, What is an average?
CharlieMungus - MemberHow about if you add one raindrop to another raindrop how many raindrops do you have?
If I add one raindrop to another? None.
I'm not sure what scenario you have, but that would still be a case where the 1+1=2 model does not fit
CharlieMungus - MemberI'm not sure what scenario you have, but that would still be a case where the 1+1=2 model does not fit
No it isn't; it's a case where you can't add 1 to 1.
You can add one raindrop to another. It happens when they collide
No it isn't; it's a case where you can't add 1 to 1.
That makes it look less like a universal truth
No it isn't; it's a case where you can't add 1 to 1.
false proof - a rain drop is not a decimal system.
I hope they're refusing western medicines and relying on the local herbal remedies and witch doctor for all their ills.
I have another example that proves simultaneously that
1 + 1 = 1 and
5 + 5 = 10
If I have two fivers i get a tenner so by adding them i have one note but still have 10 pounds.
I cannot be bothered working out what fallacy this is so i have termed it trolling stupidity
This raindrop business sounds like the mathematics of homeopathy.
[quote=CharlieMungus ]You can add one raindrop to another. It happens when they collide
That's not addition, that's merging; we are no longer doing mathematics. A quick google suggests an average raindrop is 0.05g, hence contains 1.7E21 atoms - if you add two of those together you get 3.4E21 atoms. That is the universal truth you're actually after.
1+1 can equal 3 for big value of 1.
That's not addition, that's merging; we are no longer doing mathematics. A quick google suggests an average raindrop is 0.05g, hence contains 1.7E21 atoms - if you add two of those together you get 3.4E21 atoms. That is the universal truth you're actually after
50ul seems a bit small for a rain drop
It was a very long ago that I did any sort of number theory, but numbers do not need to relate to anything in the real world! If I recall you need to view numbers as sets, so zero is the set which contains no members, one is a set that contains the set zero (think bags within bags!) within this system 1+1=2 is proven, and any link to reality be damned
[quote=poah ]50ul seems a bit small for a rain drop
2.3mm radius is small for a raindrop?
Though I'm going to slightly correct myself:
That's not addition, that's merging; we are no longer doing mathematics.
it is still mathematics - it's just we're into set theory.
false proof - a rain drop is not a decimal system.
Choose any Base you like what we call one and two are the same. But the fact that you require a particular system,demonstrates that it is a model
It was a very long ago that I did any sort of number theory, but numbers do not need to relate to anything in the real world! If I recall you need to view numbers as sets, so zero is the set which contains no members, one is a set that contains the set zero (think bags within bags!) within this system 1+1=2 is proven, and any link to reality be damned
Exactly so, mathematics is a self contained abstract system. So internally it has truths
These are not universal truths, however it models some real world things very well, just not all
It models the addition of one group of H2O atoms to another group of H2O atoms perfectly well.
why not? We are taking one thing and adding it to another. Unless of course want you are saying is that mathematics can not be applied in such a situationThat's not addition, that's merging; we are no longer doing mathematics
It models the addition of one group of H2O atoms to another group of H2O atoms perfectly well
Yes, it does. It is a great model for that. But still a model
. A quick google suggests an average raindrop is 0.05g, hence contains 1.7E21 atoms - if you add two of those together you get 3.4E21 atoms
Yup. It works for atoms, not raindrops
If I have two fivers i get a tenner so by adding them i have one note but still have 10 pounds.
Not sure how adding one fiver to another fiver gets you a tenner. Sounds like you get two fivers
