What is Natural: Definition and 1000 Discussions

Nature, in the broadest sense, is the natural, physical, material world or universe. "Nature" can refer to the phenomena of the physical world, and also to life in general. The study of nature is a large, if not the only, part of science. Although humans are part of nature, human activity is often understood as a separate category from other natural phenomena.The word nature is borrowed from the Old French nature and is derived from the Latin word natura, or "essential qualities, innate disposition", and in ancient times, literally meant "birth". In ancient philosophy, natura is mostly used as the Latin translation of the Greek word physis (φύσις), which originally related to the intrinsic characteristics that plants, animals, and other features of the world develop of their own accord.
The concept of nature as a whole, the physical universe, is one of several expansions of the original notion; it began with certain core applications of the word φύσις by pre-Socratic philosophers (though this word had a dynamic dimension then, especially for Heraclitus), and has steadily gained currency ever since. During the advent of modern scientific method in the last several centuries, nature became the passive reality, organized and moved by divine laws. With the Industrial revolution, nature increasingly became seen as the part of reality deprived from intentional intervention: it was hence considered as sacred by some traditions (Rousseau, American transcendentalism) or a mere decorum for divine providence or human history (Hegel, Marx). However, a vitalist vision of nature, closer to the presocratic one, got reborn at the same time, especially after Charles Darwin.Within the various uses of the word today, "nature" often refers to geology and wildlife. Nature can refer to the general realm of living plants and animals, and in some cases to the processes associated with inanimate objects—the way that particular types of things exist and change of their own accord, such as the weather and geology of the Earth. It is often taken to mean the "natural environment" or wilderness—wild animals, rocks, forest, and in general those things that have not been substantially altered by human intervention, or which persist despite human intervention. For example, manufactured objects and human interaction generally are not considered part of nature, unless qualified as, for example, "human nature" or "the whole of nature". This more traditional concept of natural things that can still be found today implies a distinction between the natural and the artificial, with the artificial being understood as that which has been brought into being by a human consciousness or a human mind. Depending on the particular context, the term "natural" might also be distinguished from the unnatural or the supernatural.

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  1. J

    Can n choose k be proven as a natural number without using induction?

    I have to prove that for 0<=k<=n that nCk(n choose k) is a natural number. I try by induction but i end up with n-m/m+1 must be a natural number which i don't know how to prove, is there another way besides induction? Could someone help me out? Thanks, Jack
  2. J

    Darwin's Theory of Natural Selection: A Scientific Revolution

    I know zip about biology, but I know a little physics. Before Einstein's general theory of relativity challenged it, the prevailing scientific theory of gravitation was Newton's theory. In the minds of most physicists, the issue was resolved in favor of Einstein's theory as a result of an...
  3. Mk

    Natural Cures: Uncovering the Truth About 2005's #10 Best Seller

    Yes I am! Natural Cures "They" Don't Want You To Know About, the 10th best selling book of 2005, yet it gets a 2.5 out of 5. Yeah, that's messed up. Says something about some books...
  4. M

    Solving Natural Log: Round and Round I Go...

    when trying to solve ln(x+4)=2 i tried this ln(x+4)=2 e^2=(x+4) ln e^2=ln(x+4) 2=ln(x+4) and round and round i go... where do i start to go wrong?
  5. tony873004

    Halo and Lissajous Orbits: Powered or Natural?

    Is a Halo Orbit, such as the one employed by the SOHO spacecraft , a powered orbit (requires corrective burns)?. L1 is unstable, but everything I Google about Halo Orbits seem to suggest that the spacecraft happily orbits the L1 point in a Halo Orbit without corrective burns. Does it do...
  6. C

    Natural log derivative problem

    Hello all. I am stuck on this homework problem. It wants me to find \frac {d^2y} {dx^2} when y= ln x^8 The book answer is \frac {-8}{x^2} But I only can get \frac {-8}{x^9)} Please give me some guidance Thanks
  7. A

    Divisibility Probability of Randomly Selected Natural Numbers

    Could Someone help with this question ? What is the probability that a number of the set \Omega, first 120 natural numbers {1,2,3, ... , 120}, picked at random is not divisible by any of the number 3, 4, 6 but is divisible by 2 or 5 ? Thanks
  8. A

    Divisible of natural numbers

    Could Someone help with this question of probability ? What is the probability that a number of the set \Omega, first 120 natural numbers {1,2,3, ... , 120}, picked at random is not divisible by any of the number 3, 4, 6 but is divisible by 2 or 5 ?
  9. Pengwuino

    Mangosteen - the natural cure for whatever

    Well, my parents are hooked on this idea of mangosteen! The super fruit drink that'll fix your whatever for $35 a bottle. Where does this fruit drink (most commonly sold as Xango) stand in the scientific community? Simple fruit drink marketed as a natural cure phenomenon or does it actaully help...
  10. P

    What is the true cause of natural death?

    What is the "cause" or meaning of the term natural death?
  11. Pengwuino

    Evolution = years of natural selection?

    Someone posted in another forum that "Evolution is the result of hundreds of thousands of years of natural selection." Is that true?
  12. T

    What Makes Natural Breasts the Size They Are?

    What makes (Natural, not implants) breasts the size they are, percentage-wise I mean? (Eg is it (for example) 10% fat, 10% hormones, 10% genetics?) (Would the amount things affect breast-size, percentage-wise, vary with genetics?)
  13. C

    Resonance and natural oscillations

    Why does everything have a natural frequency at which it oscillates when struck by a single force and then left to oscillate? Does everything only have one? Does it vary depending on what the original force to cause it to oscillate was? Also, why does force imposed at natural frequency casue...
  14. C

    Natural Frequency Explained in Layman Terms

    can anybody tell what is a natural frequency in lay man terms. any website?
  15. S

    Natural frequency of a wine glass

    Does anybody know the typical natural frequency of an empty wine glass? I want to conduct a demo experiment of breaking a wine glass with a sound wave from a distance. Has anyone here done it before? I need a signal generator (sine wave) and an amplifier. What kind of loudspeaker do I have...
  16. M

    Calculating Natural Number e: History & Methods

    Would you please tell me how to calculate natural number e ? How that number came into being ? Thanks
  17. C

    Double-Slit with Natural Light?

    Double-Slit with Natural Light? Hi, I would like to know if it is possible to perform the double-slit experiment with natural lighting conditions. I work with photograhy and would like to know if there is a way to capture the "interference patter" of a particular scene (i.e. ocean...
  18. S

    Natural Green Eyes: Close-Up Pics

    Can you please post pictures (Preferrably close-ups but they don't have to be) of natural (Not man-made) green eyes in this thread (I need them for a school project I am doing on genetics) and I am having trouble finding close-ups of ones that I know are natural) (If the pictures look really...
  19. B

    Natural Growth and Logistic Models

    Hi, I have a question regarding natural growth and logistic models. According to my textbook, any exponential equations, P(t) = e^kt can be expressed logistically as P(t) = K/(1 + Ae^-kt) where A = (K-P0)/P0. When I applied this rule to P(t) = e ^0.0015t, and P(t) = 6000 / (1 + 5e^-0.0015t) it...
  20. C

    Natural log of a pressure is ?

    Ok so i was doing a problem involving finding the pressure of mercury at its boiling point (630.05K) using Troutons rule and the final answer seems a bit strange to me. Integration of the Clausius-Clapeyron Equation: {ln(\frac{{P}_{2}}{{P}_{1}}) =...
  21. J

    Solve 0=0.002*e^-(0.005/2R) to Find R

    Hello. I am working on this problem 0=0.002*e^-(0.005/2R) I am supposed to find to find "R". The only way I know how to do this gives me 0... but I know that it's not the answer. Got any tips?
  22. M

    Expressing Natural Numbers as Sum of Primes

    Is it possible to express all natural numbers greater than 2 as the sum of N unique prime numbers? For example, 6 = 2 + 3 and 18 = 13 + 5.
  23. marcus

    What is the Cosmological Natural Selection theory?

    Cosmological Natural Selection is a testable idea for explaining why the constants in physics and cosmology----the parameters of the standard models used in the two fields----have the numerical values they do. I expect it's important enough so that it deserves a more transparent thread...
  24. G

    Writing Natural Numbers: A Unique Expression Using Powers of 2 and Odd Numbers

    How can one write any natural number n in one and only one way as 1 less than a power of 2 times an odd number? n=2^f(n)(2g(n)-1)-1 where the red minus is the modified difference function, i.e. x-y =x-y if x>=y or x-y=0 if x<y
  25. H

    How Natural Isomorphisms Work: Understanding the Basics

    Still working on wrapping my head around these things in general... It strikes me that, unless I'm really flubbing something up, a natural isomorphism T between two functors F,G:A-->B can be regarded itself as a functor B-->B. For the objects, we just send each object X to the target of...
  26. D

    Natural isomorphism of VxV* and End(V)

    I'm looking for help constructing the natural isomorphism between V\otimes V^* and \operatorname{End}(V), with V a vector space. So far, I think I should have functors F and G which take V \mapsto V\otimes V^* and V \mapsto \operatorname{End}(V). I'm having a little trouble figuring out how...
  27. G

    Natural logarithm and pi help?

    I haven't been able to prove: ln(e)/e > ln(pi)/pi without calculating any of the values. Help would be much appreciated.
  28. JasonRox

    Exploring Facts about Liquified Natural Gas

    This is regarding... Liquified Natural Gas I need to know the facts about this. They are currently thinking about building large LNG Importation Facilities in my area, or pretty close to my house I guess. At the moment, they will have a Public Hearing before doing anything. As of...
  29. A

    Can anyone help me find the natural domain and range of[tex]f(x) =

    can anyone help me find the natural domain and range of f(x) = 1 - log_3x *the whole equation is under a square root sign, its just a couldn't latex it
  30. T

    Natural Group Homomorphism in Action

    What is it, and can you give me a few examples of how its used? Thanks, Mary
  31. marcus

    Can we transpose the Cambridge Handbook into natural units?

    I am interested in a system of natural units that I see used more and more frequently in Quantum Gravity research papers so I like to try using them. the units are like conventional Planck except |8piG| = 1 I want to see if there is anything in the Cambridge Handbook of Physics Formulas...
  32. honestrosewater

    Collecting different rules for Natural Deduction

    I'm only interested in the inference rules. I've read that people use different sets of rules, and I'm trying to find all of those different sets. Here's the ones I have so far (read "/" as a line break): 1. Modus Ponens (M.P.) 2. Modus Tollens (M.T.) 3. Hypothetical Syllogism (H.S.): p ->...
  33. K

    Find Natural Frequency of Structure: Cube (Box) of Honeycomb Sandwich Panels

    What is exact procedure to find the Natural Frequency of a structure...i.e a cube (box) of Honeycomb Sandwich Panels...i have simulated the Modal Analysis in Ansys...there i got the natural frequency of very low amount ...almost 0.3Hz for First Mode,0.5 Hz for Second Mode and so on...i think it...
  34. S

    How do you take the natural logs?

    how do you take the natural logs?? I think this is why I can't do my problems, maybe I'm missing some basic concepts. ok, so let L({\theta}) = \theta^{-2n} \prod y e^{-(1/theta)}\sum y taking the natural log, I get ln L(\theta) = -2nln\theta + ln \prod y - 1/\theta \sum yi . I...
  35. D

    Natural logarithm of negative numbers

    I'm puzzled by... \ln \left( -\frac{1}{2} \right) = - \ln \left( 2 \right) + i \pi Why is this true? How can I possibly get this result? I know that \ln \left( \frac{1}{2} \right) = - \ln \left( 2 \right). Thank you so much
  36. A

    Natural line width and energy uncertainty question

    Lets take an electron which is "in orbit" around the nucleus. As far as I know, its (ANY conceivable) wavefunction can be represented as a superposition of energy eigenfunctions, which correspond to the discrete eigenvalues of the electron's enrergy. What I do not understand is where the natural...
  37. C

    Differentiation Question Concerning natural log

    Hello all If y = e^3^\ln^(x^2) find \frac {dy}{dx} So \frac {dy}{dx} =(3 (\frac {1}{x^2}) \* 2x e^3^\ln^(x^2) So the simplified answer is: \frac {6}{x} e^3^\ln^(x^2) Is this correct? IS there any other way of expressing the answer? Thanks
  38. S

    Exploring the Derivative of xlnx with Natural Log

    Hi everyone! (d/dx) [xlnx] Why is the answer 1+lnx and not 1?? ~Thanks
  39. ZapperZ

    Natural selection acts on the quantum world

    Quick! Read this before it goes into Nature's archive and no longer becomes free. http://www.nature.com/news/2004/041220/full/041220-12.html Zz.
  40. C

    Solving for Natural Frequency in a Si-Based NEMS Resonator

    NEMS Resonator I need a hint to help with my homework. The question: "A Si-Based NEMS resonator has dimensions length=150nm, width=5nm and thickness=5nm and an effective spring constant of 100Nm^-1 and natural frequency of vibration of 250MHz" I am looking for an equation linking the...
  41. Loren Booda

    Exploring the Origin of Natural Lasers: Coherent Light from Natural Phenomenon

    Besides manmade lasers, from what phenomenon might the coherent light of naturally occurring lasers originate?
  42. W

    Inverse of the natural logarithms

    Hi Guys, i am new to this forums and my english is poor, but i will do my best. I got stuck with this problem, i think it's quite easy, but i get the wrong answer :frown: F(x) = ln(1+e^x) 1. Show that it has an inverse 2. What is the Range And the Domain of the inverse. I really...
  43. S

    Easy Pre-Calc Question - Natural Logs

    e^{-x^2}=(e^x)^3(\frac{1}{e^4}) Wouldn't all the Es cancel out? -x^2=3x-4 Move the 3x and factor out a -x: -x(x+3)=-4 Now I got nothing.
  44. O

    How Do I Solve a Natural Log for x?

    Please Help! Natural Log Question! Here is the question that is bothering me: I need to solve this natural log for x. Please I need step by step instructions on how to figure out x. Thanks very much. ln (x) + ln (x+1) = 2
  45. N

    Is global warming a natural phenomenon?

    is global warming a natural phenomenon? I think it is . But we can enhanced it such as we produce tonnes of carbon dioxide every day, causing the greehouse effect strengthen and finally lead to global warming .
  46. P

    Proof that (2n)/[n(n+1)] is natural for natural n

    I tried induction, but got no results. What I get is: f(n+1) = 4f(n) - 6f(n)/(n+2) So now I'd have to prove that 6*(2n)!/[n!(n+1)!(n+2)] is natural, which would be going in circles. I tried to go directly, but came up with nothing good. It can be written as [2n over (n-1)] / n, but I...
  47. B

    What is the natural state of plutonium?

    i suck at science can n e 1 help? what is the natual state of plutonium?
  48. S

    Integration of powers of natural logs

    Hi, I need some help! :uhh: I have a series of maths problems in my physics work... I am trying to integrate a power of a log - such as: y= 3.2875E+004 - 8.9321E+005*ln x + 4.2316E+006*(ln x)^2 - 7.7776E+006*(ln x)^3 + 7.4949E+006*(ln x)^4 - 4.1373E+006*(ln x)^5 + 1.3164E+006*(ln...
  49. F

    Integral problem with natural log ($5 to whoever gets it)

    Here's the problem: find the integral of dx/2x(lnx)^1/2 In other words, dx over 2x times the square root of lnx. It has to be evaluated from 16 and 2. I don't know how to say it, but the integral sign with 16 at the top, and 2 at the bottom. If you can find the answerm and show me...
  50. K

    How Can I Finish Integrating a Natural Log Using Integration by Parts?

    [SOLVED] Integration of a natural log I am asked to Integrate by parts \int \ln(2x+1) dx So, \mbox{u}=ln(2x+1) \mbox{du}=\frac{2}{2x+1} \mbox{dv}=\mbox{dx} \mbox{v}=\mbox{x} I plug all of that in and I get, {\int \ln(2x+1) dx\}={\mbox{x}\ln(2x+1)}-{\int \frac{2x}{2x+1}...
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