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Should Newton's Laws Be Called "Laws"?

02/01/2008 2:36 AM

ARE SIR ISAAC NEWTON'S "LAWS" ENTITLED TO BE CALLED LAWS?

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#1

Re: NEWTON'S LAWS

02/01/2008 3:34 AM

Have you come up with some ground breaking evidence to disprove his theories?

Al

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#2

Re: NEWTON'S LAWS

02/01/2008 4:08 AM

http://uk.ask.com/reference/dictionary/wordnetuk/106585/law

They fit definition 3 in the above. On that basis, "yes".

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#3

Re: NEWTON'S LAWS

02/01/2008 5:25 AM

Why don't you try breaking them and see what happens?

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#4

Re: NEWTON'S LAWS

02/01/2008 6:11 AM

There are two questions here...one is mere semantics... 'law' 'rule' ..whatever.... what's in a name?...'A rose by any other name would smell as sweet...'
Hey we could jump on the current wooly thinking and call them 'guidelines'

The bottom line is, they work for the sort of problems that most of us will encounter.
If you want to work in quantum physics then maybe you need something else... they are just dandy for playing snooker, shooting arrows, driving your car.

Del

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#14
In reply to #4

Re: NEWTON'S LAWS

02/05/2008 10:01 AM

playing snooker, shooting arrows, driving your car.

Dear Del the cat:

Snooker: The ball does "suffer" "incalculable" loss of energy, as you cannot establish experimentally the EXACTITUDE of the dynamic behaviour of each and every shot and calculated following NEWTON'S LAWS.

Arrows: To hit your target, you have to "angle" up (give a suitable "elevation").The arrow then flies in an "ARC" and not in a "STRAIGHT" line. Please try shooting in a Straight line and get your target, unless you are actually touching the Target with the tip of the arrow.

Driving: Please try "Locking" your steering to neutral position and then drive, even on the straight AUTOBAHN. It is impossible even to "Fly" straight and level.

Please open your mind and stop defending an impractical "scientist", by following whose "laws", the world has wasted incalculable amounts of energy and resources and "Engineered" at the most "inefficient" manner for generations, depleting the Earth's resources.

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#16
In reply to #14

Re: NEWTON'S LAWS

02/18/2008 10:46 AM

Snooker: The ball does "suffer" "incalculable" loss of energy, as you cannot establish experimentally the EXACTITUDE of the dynamic behaviour of each and every shot and calculated following NEWTON'S LAWS.
The fact that you do not have sufficient information to calculate everything does not mean the laws or equations are invalid. In the limit the accuracy of all physical calculations is constrained at one extreme by fundamental (quantum) uncertainty and at the other by complexity.

Arrows: To hit your target, you have to "angle" up (give a suitable "elevation").The arrow then flies in an "ARC" and not in a "STRAIGHT" line. Please try shooting in a Straight line and get your target, unless you are actually touching the Target with the tip of the arrow.
"Lex I: Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum illum mutare."
That explicitly says that external forces will cause the motion to be non-uniform - in this case the external forces include gravity and air-resistance.

Driving: Please try "Locking" your steering to neutral position and then drive, even on the straight AUTOBAHN. It is impossible even to "Fly" straight and level.
See "arrows" above - your tyres act on the road, and vice versa (to say nothing about wind effects)

Please open your mind and stop defending an impractical "scientist", by following whose "laws", the world has wasted incalculable amounts of energy and resources and "Engineered" at the most "inefficient" manner for generations, depleting the Earth's resources.
Finally, and more importantly, what wastes the Earth's resources is not that we base designs on the laws of physics, but is in the nature of what the designs try to achieve. Wastage of resource is even more extreme when designs are undertaken without applying known physical principles. Of course, if you refuse to open your mind to understanding...
P.S. On the basis of what you appear to require of the rest of us, you have no business to be driving in the first instance.

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#17
In reply to #16

Re: NEWTON'S LAWS

02/19/2008 2:19 AM

(Please don't resort to Latin; lest you be subjected to Sanskrit)

(No amount of expertise in translation/transliteration can get the exact effect of the original language)

"....the rest of us..."

This is precisely the "chauvinism", defending needlessly, when it is clear that the "LAWS" are not related to the real world and existent set of conditions.

The damage that the word "LAWS" does to an undergraduate student of Physics/Engineering is incalculable, as it closes off all options to promote further enquiry or thought....it forces an untenable set of statements on unsuspecting youngsters and makes them take things for granted as ".....the rest of us..." have accepted these without question. If you continue with these attitudes, a time will not be far off when the rest of the world will ignore this kind of "Science" and displace from the "high ground" that is so unjustifiably continuing to occupy.

No wonder the designs based on these laws are "Horrendous" to say the least.Please don't presume that those who don't belong to "...the rest of us..." are below par in any way, just because they immerse themselves (without publicity) into their respective avocations, humbly, lest they be distracted. In fact, personally, I have invented/designed and engineered for over 45 years taking a HOLISTIC approach keeping reality in view, and have shown the futility of designs of most of the "developed" world.

It will be in the fitness of things, if people gracefully accept "corrections" and get on to improvement and progress.Such an attitude would be considered venerable.

I still assert, "NEWTONS LAWS" are not LAWS!!

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#18
In reply to #17

Re: NEWTON'S LAWS

02/19/2008 2:25 AM

..the futility of designs of most of the "developed" world

It wouldn't have developed if the designs were futile. Bad designs meet a Darwinian death wherever they come from.

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#19
In reply to #18

Re: NEWTON'S LAWS

02/19/2008 2:46 AM

It has "developed" seemingly - because of the "sinister" ways of suppressing others- those who had other priorities- that of shaking off the yoke of the "suppressors".

How great is "GREAT BRITAIN" today??

The persistent use of untenable "laws" has been the cause of it's degenaration.

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#20
In reply to #19

Re: NEWTON'S LAWS

02/19/2008 3:03 AM

Maybe you should stop the jingoistic sabre rattling and read the last line again;

Bad designs meet a Darwinian death wherever they come from

I happen to agree with Ghandi's observation on Western Civilization - "it would be a good idea", and didn't trumpet anything about Britain being great etc. Any degeneration you percieve in Britain has nothing to do with Newtonian Laws. Blind resentment because of colonial history will do much to keep developing countries in the past.

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#21
In reply to #20

Re: NEWTON'S LAWS

02/19/2008 8:55 AM

Fortunately, since I realised the futility of giving importance to Newton's "Laws", my designs have acquired extreme "Superiority" over any thing that those who continue to follow the untenable "Laws".It is by keeping the past ever alive, we can ensure a better present and thereby a great future.We will not be in the past (the British rule period, but the great past-our ancient heritage), as you suggest.We love the British (including all their ideosyncracies) and in fact all of humanity (Black,Brown,yellow or white). We have rancour towards none.Every creature created by the Almighty has its own place and purpose.Not even a blade of grass can come into existence without a noble purpose for its existence.

As for Darwin, he saw a "pattern", a great sign of intelligence-he never called whatever he put out as "Laws".The Americans too exhibit intelligence-by their ability to "Lable" (or is it "Label"?) any thing and verything.

Merely pointing out the inadequacies does not constitute "sabre rattling" or "Jingoism". This is the culture of those of "....the rest of us..."

By calling the Island Nation as GREAT BRITAIN-is it not TRUMPETING?

The right spelling of the name of the Father of our Nation is GANDHI and not as put out.

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#22
In reply to #21

Re: NEWTON'S LAWS

02/19/2008 9:32 AM

If you are confused about the name "Great Britain", so are most Brits.
The "Great" comes from the Anglian use of the term to mean complete. It has been retained to distinguish from an alternate usage of Britain to mean just England and Wales. Great Britain is not one country, but an island that contains three countries - Scotland, England, and Wales. The nation is the United Kingdom, which consists of Great Britain plus Northern Ireland.

And... You say your designs are superior to what would have appeared if you had used Newtonian physics. If you show an example of such superiority, you will have "pointed it out"; however, at least for the time being, all we have on CR4 is an unsupported claim.

Finally for now: 'Newtonian' Physics is scarcely a Western construct; yes, the current form is largely due to Leibnitz amoung others. But most of the earlier basis was set in place by Aryabhatta, Bhaskara, and Madhava, and (slightly more recently) major contributions were made by Sowa.

PS1 Latin was only used because you referred to the orginal, and this is much more precise than any single translation that I have seen (and there is no problem in looking up several).
PS2 I have no problem with your using Sanscrit (or any other language for that matter) if you are quoting from an original text by one of the "greats", because I can then look up multiple translations,

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#23
In reply to #22

Re: NEWTON'S LAWS

02/19/2008 10:38 AM

Thanks for the clarifications. So, finally, the cats are out of the bag.....this clarification on GB and Aryabhata etc...

For all these centuries, people have been kept in the "dark", getting mileage out of "Bluff".

My machines have "Intelligence" built into them (into every component, not through Microprocessors and such like, as in the "developed" world) to function as a UNIFIED (systemic) entity, nearly as much as living creatures.Newtonian physics assumes "Dumbness" of matter.This is part of my design philosophy.Appropriate flexibility with full recoverability.

The Robots and Androids under development carry forward this philosophy practiced by me over several decades.This gives energy efficiency through functional efficiency. Please visit www.artecrobotics.com with an open mind and find support for my claim.

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#24
In reply to #23

Re: NEWTON'S LAWS

02/19/2008 10:53 AM

Obviously, not all the ideas are dependent on Newtonian physics (its only a formalised description of certain spects of mechanics, after all); but I don't see anything there that would be degraded by using standard engineering calculations (Newtonian-based) for the mechanical design aspects - although building a fully Newtonian-base calculation into the robots' control system would probably be counterproductive, given the limited detail of the information available. But that is just like saying that it isn't helpful for a good ball player to make theoretically-based calculations while playing, and you won't find many technologists (however western-oriented) who wish to make that case.

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#25
In reply to #21

Re: NEWTON'S LAWS

02/19/2008 11:58 AM

I don't recall anyone referring to Darwin's theory as a Law, and it was yourself who began talk about the phrase 'Great Britain'.

Thank you for the spelling correction, but it does not add weight to your point of view.

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#26
In reply to #25

Re: NEWTON'S LAWS

02/20/2008 12:43 AM

The more appropriate word, in my opinion,would have been "Greater", as in a geographical sense of meaning that you clarified. We say Mumbai (Bombay) and Greater Mumbai to mean the inclusion of suburbia. Similarly, the expression to include all of the constituents of Britain should have been Greater Britain and not Great Britain. I'm sure the English of yore knew the English language well enough.

I have no hesitation in standing corrected, if need be. I also admire the tremendous sense of fairness of the British.

Please permit me to share an incident which occured on my first voyage as a Cadet on board an Indian Navy Cruiser (1961); The Captain was a Britisher,wearing 4-stripes and a telescope tucked under arm, an inspirational model for students of Seamanship. He said directly to me, during a shipboard parade review, "You're very smart".This not only boosted my morale, it gave me a sense of fairness to be emulated throughout my career in the Navy and extended even into life on "civvy" street!!

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#27
In reply to #26

Re: NEWTON'S LAWS

02/20/2008 1:28 AM

I like your suggestion of 'Greater Britain'. It carries a better meaning than the pompous sounding 'Great Britain'. The term seems ever scarcely used, which is probably a good thing, 'United Kingdom' being more often heard. There is a distinct difference in what is meant ( I think PwSlack elaborated), but in everyday talk the terms seem to be used loosely. Forms requesting people to state nationality often leave English people scratching their heads for a few moments. Some time back I read that in a convoluted way, the term British could be regarded as offensive (!) - it derives from Briton, which was used to describe the peoples of Wales, but also applied to the English displaced westward by early invaders from Europe. I've no idea how true that is, but it adds an amusing twist. I think there is good basis to adopt the phrase 'Greater Britain' that you've put forward.

It's always good to hear of incidents that have had a positive experience upon peoples lives. In my observation good leaders understand the value of taking an interest in juniors. This applies to all walks of life. One company Director I knew would spend ages on shop floor visits, chatting to people at the sharp end of things. Finding out about their day-to-day job and engaging in general conversation. This always boosted peoples morale. He was also totally at ease whatever the surroundings, and his interest in other people was genuine. Such people possess what I would define as 'class'.

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#29
In reply to #27

Re: NEWTON'S LAWS

02/20/2008 10:31 AM

"Management by walking around" has many merits, not least those you describe. It also helps you to identify information that has been "filtered".

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#28
In reply to #26

Re: NEWTON'S LAWS

02/20/2008 10:28 AM

The Anglian naming convention goes back to (at least) the twelfth century. 'Greater' usually refers to something that has grown (without proper control in the case of London), whereas in this case "Great" means the integrated object - originally, Britain was the whole island (Latin Britannia), but the confusion arose during the period that England and Wales were not under Scottish subjugation (although it was nominally a union of equals initially). In other words, "Greater" would imply growth from the original, which is clearly inaccurate for this case.

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#30
In reply to #28

Re: NEWTON'S LAWS

02/21/2008 2:45 AM

Nicely clarified. I think we should adopt the convention suggested by D.Ramakrishnu.

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#31
In reply to #30

Proper English usage

02/21/2008 12:09 PM

If you substitute "proper" or "complete" for "great", and "grown" or "growing" for "greater", I suspect you will see that talking about "Greater Britain" would be somewhat misleading (at least so far as the historical semantics which should govern these things is concerned). In the meantime, may I suggest a visit to Anglia to see how the term "Great" has been used for place names.
Historically, the contrast is with little - "Great" means "well-defined" (or proper), while "Little" means without centre or ill-defined (usually, what is left over of the general area after "Great" has been removed). Examples where the terms are still* used in this sense include Wymondley, Chesterford, Easton, Bardfield, Hallingbury, Massingham. Often, "Great" is the Village, and "Little" is the surrounding area, which can be quite a lot larger. You will find examples of this naming where the rule appears to be broken, but in many (not all) cases a little historical digging will show that what has happened is that either the compact centre has expanded, or the original ill-defined area has developed into a number of well-defined areas, one of which has retained the original "Little" name (usually, but not always, at the location of the earliest secondary church).

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#32
In reply to #31

Re: Proper English usage

02/21/2008 3:03 PM

Coincidentally, I was born in Great Bardfield. The existence (OK, not in all cases) of neighbouring places such as Little Bardfield clarifies the meaning a bit. The TV series Little Britain paradoxically supports a change to Greater Britain. What a waste of air-waves that show is.

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#5

Re: NEWTON'S LAWS

02/01/2008 6:53 AM

It may be more of an honorary title.

A law should be immutable when tested. In the case of Newtonian physics they meet that requirement to a point, but fall apart when you delve into the world of relativity and quantum mechanics.

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#6
In reply to #5

Re: NEWTON'S LAWS

02/01/2008 7:16 AM

Er, most things fall apart in the world of relativity and quantum mechanics!

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#7

Re: NEWTON'S LAWS

02/01/2008 8:10 AM

Take your CAP LOCK off and I'll tell you.

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#8

Re: Should Newton's Laws Be Called "Laws"?

02/01/2008 6:38 PM

They ain't guidelines!

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#9

Re: Should Newton's Laws Be Called "Laws"?

02/02/2008 2:55 AM

law O.E. lagu (pl. laga, comb. form lah-), from O.N. *lagu "law," collective pl. of lag "layer, measure, stroke," lit. "something laid down or fixed," from P.Gmc. *lagan "put, lay" (see lay (v.)). Replaced O.E. æ and gesetnes, which had the same sense development as law. Cf. also statute, from L. statuere, Ger. Gesetz "law," from O.H.G. gisatzida, Lith. istatymas, from istatyti "set up, establish." Lawsuit is from 1624. Law and order have been coupled since 1796. Law-abiding is from 1859.

In the sense that they are 'layed' down, I'd say they were Laws,

I dispute the commonly heard assertion that he either 'invented', or 'discovered' gravity. Being struck by a 1 Newton apple, whilst feasible, is also probabaly rubbish.

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#10
In reply to #9

Re: Should Newton's Laws Be Called "Laws"?

02/02/2008 3:21 AM

I dispute the commonly heard assertion that he either 'invented', or 'discovered' gravity. Being struck by a 1 Newton apple, whilst feasible, is also probabaly rubbish.

I heard he was struck by a falling squirrel

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#11
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Re: Should Newton's Laws Be Called "Laws"?

02/02/2008 3:41 AM

LOL. It's true, I'm forever falling of my branch ! We weigh from 5O Ounces up to a skull crunching 37. Not as many lives as cats, and we don't have a 'dead-cat bounce', but we do scammper pretty fast.

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#12

Re: Should Newton's Laws Be Called "Laws"?

02/05/2008 9:27 AM

Newton #1

Once moving at a steady speed...in a straight line...it will continue moving at a steady speed... in a straight line.

steady : It is impossible! A change in velocity, either "incrementing" or "decrementing" is the reality at any given pair of instants (t1-t0), which are required even to just declare

Velocity=(d1-d0)/(t1-t0)

= (d1/t1)-(d0/t0)=Δd/Δt !!!

straight: A straight line is a part of an arc of infinite radius! So, where is the STRAIGHTNESS??

On both above counts, Sir NEWTON's "LAWS" fail!!- Can we still call them LAWS?

Unless we have an expression to declare the "Instantaneous" state (INDEPENDENT OF "time") of a body or particle, all engineering based on present "accepted" body of knowledge is untenable!!

Newton #2

Once standing still... it will stay still

Again, another impossibility! Is any "BODY" or particle existing in GRAND isolation in the universe? Every body has "turbulent" neighbors and therefore will be disturbed and will disturb others surrounding them, by their very "Stillness" and become a "sink" for the multitude of "Sources" .

This kind of Non-Precise thinking and "Half baked" statements by "eminent" Scientists have ruined many an undergraduate engineering study. I categorically reject "Western" and "Eastern" science. Those who are happy with mediocrity of "Snooker...." physics are welcome to continue their mediocrity while those with an open mind can contribute.

Laws should be "Immutable" and they are not. So, why declare any "Laws" at all except as means of "Dominence"? Let there be a convention, free to change, as per evolution of human knowledge.

The analysis of replies received so far show that NEWTONS LAWS are NOT entitled to be called LAWS!!

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#13
In reply to #12

Re: Should Newton's Laws Be Called "Laws"?

02/05/2008 9:59 AM

I believe Newton qualified these by saying "unless acted upon by another force". Thank you for unwittingly pointing out that there are other forces involved. Were they not involved then, perhaps the object would move in "straight" line for example.

I suppose you also reject logic and everything else "western" and "eastern". How for example do you feel about George Boole's work? Aristole? They are all fools as well?

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#15
In reply to #13

Re: Should Newton's Laws Be Called "Laws"?

02/09/2008 7:45 AM

Dear eriew,

why fly off the handle and sink into sarcasm? Please keep focus on NEWTON and his "LAWS"."unwittingly"?-HUH!! Thanks for admitting, however grudgingly, that the "Laws" do not deserve to be called LAWS. It is precisely this kind of "Chauvinism" that makes for a stagnant (non-evolving, degenerate) humanity. Keep an open (and hence tolerant) mind and allow wisdom to fly in from all directions of the compass, contemplate, meditate and then COMPREHEND to be able to "ACCEPT" or "REJECT".

Please remember, no one is INFALLIBLE.After all, we're all human. The only thing worse than an expert is someone who thinks he's an EXPERT.

D.Ramakrishna Naidu

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#33

Re: Should Newton's Laws Be Called "Laws"?

02/21/2008 10:20 PM

no it should not called to be a law it must called as statement

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#34
In reply to #33

Re: Should Newton's Laws Be Called "Laws"?

02/22/2008 12:10 AM

THANKS A MILLION!

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#35
In reply to #33

Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 6:08 AM

s ur right it should be called only as statement

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#36
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Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 6:44 AM

"This is a statement". I give this as an example of why it is useful to discriminate between different types of statement. You could perhaps call them "Newton's theories"; this is what we continue to call Einstein's more refined versions of the principles and equations that appear to govern the behaviour of our physical world**, but that doesn't discriminate between Newton's viable theories and and some of his other theories that turned out to be complete junk. "Theorem" won't do either, because that is something that can be proved correct iff we accept certain axioms. "Laws" implies statements that should be obeyed, and (within their regions of validity) Newton's laws are universally obeyed (which is more than can be said for most legislative law).

For what it is worth, if we were starting from here I would call them "Newton's models", and "Einstein's special relativistic model", etc., but:
the description exists, and it works (as no-one who uses the "laws" is misled) - so don't fix it.

**In the case of Einstein's relativistic theories, we have so far failed to find any circumstances where our measurements indicate any inaccuracy in the theoretical predictions - so at this point they are more clearly laws than Newton's - but Einstein had particular views on the impossibility of absolutely proving a physical theory, and this view has so far prevailed.

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#37
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Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 6:54 AM

But generally people encourage to follow these laws but they are not allowed to find things new like einsten , newton . the ideas are restricted by these laws. so it should be called as statement.

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#38
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Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 7:43 AM

The whole point of my response is that calling them laws did not have any of the consequences that appear to cause you concern. In no way did this discourage experimentalists from trying to assess the limits to the accuracy of the analysis. Nor did it discourage Einstein's precursors (e.g. Fitzgerald Lorentz) from postulating modifications as soon as evidence was available to support such work.

The same sort of work continues on Einstein's theories, and on quantum mechanics and particle physics.

We have at least the following nomenclature in use:
Einstein (and quantum field): 'theory'
Newton, Planck, Faraday and many others: 'law'
Fermat and Heisenberg: 'principle'
Avagadro: 'hypothesis'
Fleming and Woodward-Hoffmann: 'rule'
Shrodinger and Dirac: 'equation'

Anyone promoting the idea of yet another name for a useful physically predictive algorithm should perhaps be statemented

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#39
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Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 12:09 PM

What about axiom or postulate ?

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#40
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Re: Should Newton's Laws Be Called "Laws"?

02/27/2008 4:49 PM

Axiom has a different meaning - something that is assumed to be true (and without any need for demonstration) throughout a mathematical edifice. A mathematical physicist (guilty as charged - on occasion) will treat physical laws (etc.) as axioms in building models of physical phenomena; on the other hand, there are some fascinating branches of mathematics that use axioms that (at least for the time being) appear to have no physical counterpart.

Similarly, postulates have the status of initial guesses: in mathematics they become theorems when they have been proved to be consequences of the axioms. In physics, they become theories (laws, principles...) when measurements (or consequences of other theories) show them to be viable for modelling the range of effects for which they are proposed.

And to think that I never had all that much time for philosophy...

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#41
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 2:06 AM

That's good, but doesn't all mathematics use the Peano axiom that zero is a number ? It seems a bit harsh to leave Euclid's 5 postulates referred to a such, they seem more like a lemmantable digression. Yet again, my knowledge and spelling drown ( Must be that Newton chucking rocks in the sea. It floods my puddle).

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#42
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 5:35 AM

Surprisingly(?), there are (non-void) subsets of** number theory that don't even require the concept of zero. And, SFIK, Euclid doesn't treat zero as a number.

I always thought that "lemma" implied "provable" - i.e. distinct from an axiom or an a-priori Postulate (postulate having unfortunately become an ambiguous term in modern English).

BTW, neither Newton's rocks nor Canute's supernatural powers are causing your problem with puddles - so it must be the dregs from John's cocktail.

**should this read "even (sic) of"?

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#43
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 6:51 AM

All these subtle differences really are annoying/fun. I'm sure you're right, but I'll copy the guff just to save myself looking again;

Peano's axioms;

1. Zero is a number.

2. If is a number, the successor of is a number.

3. zero is not the successor of a number.

4. Two numbers of which the successors are equal are themselves equal.

5. (induction axiom.) If a set of numbers contains zero and also the successor of every number in , then every number is in .

Euclids postulates ;

1. A straight line segment can be drawn joining any two points.

2. Any straight line segment can be extended indefinitely in a straight line.

3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.

4. All right angles are congruent.

5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate.

A lemma is a proven step on the way to a postulate ? The terms all seem to get intermangled a bit, but it seems to me the hierachy is sort of

axiomlemmapostulatetheorem

The corollary is that I urgently need to find a Screwdriver and a place to hide.

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#44
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 8:12 AM

First (hopefully) clarification: in Euclid, a postulate is something you claim to be true and don't have to prove. Some modern colloquial usage has subsumed this to mean a 'guess', but that has not even found its way into most dictionaries. In mathematics, postulate is the same as axiom. Linguistically, it is very curious that Euclid (the Greek) appears in translation with the Latin 'postulate', whereas Peano (an Italian) has axioms (Greek).

So your table should give:

Axioms=Postulates + logic → lemma
(Axioms=Postulates and/OR lemma) + logic → theorem
You could add Corollary - is a lemma or theorem that is established ipso-facto in the proof of another such.

This all leaves out a most important intermediate stage of the "assertion" or "guess", which is the preliminary statement of something you suspect to be true before you have proved the point and assigned it to be a Lemma or Theorem.

Confused? And to think that I've barely started...

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#45
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 12:28 PM

....get dressed, it's indecent at this hour ! It's a small mercy that ER hasn't jumped onto this word usage question, it's spinning my head even without the screwdriver. I haven't yet found a good single source that defines all these words, and I'm too scared to posit that one exists out there. Maybe I'll follow my own postulate link.

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#46
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Re: Should Newton's Laws Be Called "Laws"?

02/28/2008 12:54 PM

It's my fault for not checking what I typed - postulate somehow got separated from axiom in post #40, and appeared where "hypothesis" or "conjecture" should go. I notice that we haven't yet mentioned "definition", "inference rule", "deductive systems".

I too have failed to find anything remotely complete on the web.

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#47
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Re: Should Newton's Laws Be Called "Laws"?

02/29/2008 1:57 AM

Even more daft is that we're both posting off-topic, yet it's fairly relevent to the general thread topic ! If I digress to Poincares conjecture, that might be twisting things a bit. Our own list groweth, but I'll keep my eye out for a decent page on the web.

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#48
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Re: Should Newton's Laws Be Called "Laws"?

02/29/2008 6:27 AM

We aren't discussing Newton's laws specifically, and we are also covering a range of other issues. Conjecture is a good term for something that may in due course become a lemma or theorem (or even a physical "law") but has yet to be proved. Poincaré's conjecture looks in danger of becoming a mere corollary to a Thurston-Perelman theorem... but I tigress

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#49
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Re: Should Newton's Laws Be Called "Laws"?

02/29/2008 11:24 AM

The original question was very specific, but the use of the term 'law' in relation to Newton's laws can only be examined in relation to a wider picture (?). I prefer the word 'model' which you mentioned earlier, but it's a moot point since the current phrase is ubiquitous. Looking at all these other words (I can't think of a good description for them*) may open the field for anyone wanting to champion something other than 'Newton's laws'. It would have been easier to tear down a suggested alternative to 'law'.

* They seem to embrace whatever exists between nothing and certainty. Much more of this and I could be slitting my own throat with Occam's razor ! At least nobody has yet said that Newton 'invented' gravity.

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#50
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 1:44 AM

razor? razor? razor? razor? razor? razor? razor? razor? razor? razor? razor? razor?

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#51
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 2:14 AM

Existential is 3rd door on the left.

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#52
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 2:18 AM

Sorry. I took the Dr. Evil test again, and I think the rabbit died!

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#53
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 2:31 AM

It's OK, 'cos the thing was a Schrodinger rabbit.

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#54
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 3:03 AM

Then he's only half dead.

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#56
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 3:31 AM

You're a pesimist - it's alive half the time. It may have enjoyed many moments of alive/dead since you typed about its sorry state.

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#55
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 3:05 AM

But, then again, using Schrodinger in a joke makes you a Schrodinger wit, which means in reality your a half... Never mind!

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#57
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Re: Should Newton's Laws Be Called "Laws"?

03/01/2008 3:36 AM

I don't take any chances with cats - straight in the microwave. They have a 50/50 chance.

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