Natural Definition and 1000 Threads

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. baywax

    Common Ethics: A Natural Phenomenon

    By using the term "common ethics" I am referring somewhat to the idea of "common sense". You see it everyday in traffic, among pedestrians, in classrooms and everywhere there is human activity. We could say you can find it in the animal and plant kingdoms as well, but that would be an outright...
  2. A

    How Do You Solve a Natural Logarithm Equation for Variable y?

    hello, I was trying to figure out what will be the y value for this equations: 1 - e^-0.15*10^-5*y = 0.1 Could somebody help me in this?? The answer is supposed to be 70,240. thanks.
  3. S

    Why is the natural frequency of a cantilever beam higher than a spiral spring?

    Hi Natural frequency of spring is fn = 1/(2*pi) * sqrt(k/m), where k = spring constant and m is the mass. Ok, so I have a spiral spring which means that spring is coiled couple of times. Its spring constant is (according to Hartog's Mech. Vibrations), k = E*I/l, E=Elastic Modulus, I = Inertia...
  4. M

    The Klein-Gorden Equation and the Mass-Sqaured Factor -a question on natural units

    Homework Statement A Consistency question regarding the dimensions of the KG Equation. Homework Equations M^2=\frac{\hbar c}{G} for a quantization of gravitational charge on matter The Attempt at a Solution I know a few things however concerning the KG equation. It is directly...
  5. T

    Determining Natural Length of a Spring

    Homework Statement If 6 J of work is needed to stretch a spring from 10 cm to 12 cm, and another 10 J is needed to stretch it from 10 to 12 cm, what is the natural length of the spring? Homework Equations W=FD Hooke's Law The Attempt at a Solution Honestly, I stare at this problem...
  6. W

    Turbulent Natural Convection with Condensation

    Hello, I'm thinking about a natural convection problem where you have turbulent flow on a vertical wall. It's compressible flow, and it's a two-phase problem. You have two boundary layers, one for the air-vapor mixture, and one for the condensate. The question I'm pondering is this...
  7. L

    Calculating Grashof's Number for Natural Convection

    HI when dealing with natural convection, we use grashof's number. suppose we have a heated plate of temperature Tp. and heat being transferred to surrounding air by convection, air of temp Ta. So film temp is Tf = 0.5(Tp + Ta) If grashofs numbers, Gr = \frac { \beta gL^3 \delta...
  8. I

    Proving the Existence of a Large n for (2^n) > K

    Homework Statement Show that for any natural number K, there is an n large enough so that (2^n) > K. Homework Equations The Attempt at a Solution K is a natural number -> the smallest possible K would be 0 (lower bound?) and the smallest 2^n is 1 when n = 0, and the upper bound...
  9. M

    Natural Frequency of Stepped Shaft

    Hi guys, I need to find the natural frequencies of a series of pressure rakes. We have a numerical model, but I'd like to confirm with a hand calculation. I would like to model the pressure rakes as a cantilevered beam with varying cross section (i.e. as each tube "stops" the beam decreases in...
  10. M

    Differentiating natural logs and exponential functions?

    Hey all, I'm really having a hard time figuring out a couple of problems in which I have to differentiate: 1: \frac{e^3^x}{\ln x} I just don't know how to put it together... I know that e^3^x is 3e^3^x, and I know that you can't different \ln x, so I don't know what to do from there...
  11. S

    Natural Frequency of Cantilevered Coil

    I would like to calculate the natural frequency of a cantilevered spiral coil. So instead of having a standard beam which is straight, I have a beam which has one end fixed to an axle and the beam is spiralled several times around the axle. The end of the beam comes out of the spiral and runs...
  12. S

    How do you find the Natural Log of a Number?

    Title says all.
  13. A

    Question about a tricky/difficult Taylor expansion of natural logarithm

    Can someone please tell me how to expand \ln(x + \sqrt{1+x^2}) for small x? I'd like to retain terms at least up to order x^5. Thanks!
  14. A

    Finding the natural frequency of a set of data

    Homework Statement Hi all, I'm having an issue with a homework problem. I'm taking a vibrations class and in our lab we had a cantilever beam with a mass on the end. There is an accelerometer on the beam and we used an impulse hammer to hit the beam. We had software that recorded all the...
  15. Z

    Cancellation property of addition of natural numbers

    I have to prove that for all k,m,n \in N that if m+k = n+k, then m=n. The problem mentions that I must prove this by induction. I did the base case k = 0: If m+0 = n+0, by identity m=n. Then I attempt to show that m+1 = n+1 implies m=n, but I am stuck, I don't see how induction can be...
  16. C

    Solve Natural Logarithms ln(x+1)+ln(x+3) < ln(x+7)

    ln(x+1) + ln(x+3) < ln(x+7) Find x! I should of course know this, second year at high school (in Norway). I've just forgotten the way attack the whole thing^^
  17. M

    Some weird integral with natural logarithm

    Homework Statement \displaystyle\int\left(\dfrac{\ln x}{x}\right)^2 dx 2. The attempt at a solution I tried letting u=\ln^2 x and dv the rest and I also tried dv=\ln^2 x dx and u the rest. It won't work out.
  18. B

    Are Natural Units Truly Dimensionless?

    This is perhaps a stupid question but: When we use natural units and set h=c=1, do we choose appropriate units so that their value is one but these constants still have dimensions, or are we somehow choosing h=c=1 to be a pure number with no dimensions?
  19. S

    Can Integers Be Found Between Scaled Real Numbers?

    Homework Statement Let a,b \inR with a < b. and let n \inN where n(b-a) > 1. a) How do you know that such an n must exist? b) Show that there exists m \inZ where a < m/n < b c) Show that there exists some irrational c where a < c < b (Hint:rational + irrational = irrational.) Homework...
  20. J

    Do photosynthetic plants require natural sunlight

    I'm certain this is a silly question but: Do photosynthetic plants require natural sunlight to undergo photosynthesis, or will artificial light from flourescent lights suffice? Thanks!
  21. N

    Solving Derivative of Natural Logarithm of Negative x

    Homework Statement Hi. I want to solve: \frac{d\ln(-x)}{dx}. When using the chain rule I get: \frac{d \ln(-x)}{dx} = \frac{d\ln(-x)}{d(-x)}\frac{d(-x)}{dx} = -\frac{d\ln(-x)}{d(-x)}. But how do I find the last derivative? I know by experience that it is -x-1, but how is the derivation...
  22. L

    Processing of natural languages: where is work being done?

    Hi, I'm a 2nd semester student in the Indian Institute of Technology, Kanpur. My fields of interest are AI, particularly machine learning, pattern recognition etc. I have done a project on pattern recognition in the Indian Statistical Institute, Kolkata. I've some ideas about constructing...
  23. R

    Magnetic Field in Natural Units: Expressing \hbar

    Dear PF members, In terms of natural units the reduced Planck's constant (\hbar) is 1 ML2T-1. Now in this terminology how a magnetic field can be expressed? thanks for your reply, rajini
  24. M

    Is n^2+n+3 Always Odd for Any Natural Number n?

    If n is a natural number then n2+n+3 is odd. This is what I have and wanted to know if I was doing it right or not: Let n be a member of the natural numbers. If n is even, then n=2k, k member of natural numbers, and n2+n+3 =(2k)2+2k+3 =4k2+2k+3...
  25. E

    Integrating ln(t+1) from 0 to e^2x?

    Homework Statement How would I begin to integrate ln(t+1) from 0 to e^2x? Homework Equations d/dx[log base a of u]=1/(lna)u du/dx Can the original equation be manipulated to use this derivative? The Attempt at a Solution Not sure where to start.
  26. L

    Changing the rotation of a natural satellite

    Pardon me for my ignorance -- and naivety, if this question idicates it -- but would it be possible to change the rotation of a planet or moon? We'll assume the hypothetical people attempting this project have a nearly infinite budget, but even with quadrillions of dollars, is this even...
  27. B

    Natural Logs and inverse functions

    Homework Statement Find the inverse equation (i.e. solve for x) y=(e^x)/(1+2e^x)2. The attempt at a solution e^x = y(1+2e^x) x = ln(y) + ln(1+2e^x) ? Profit! I can't figure out what to do with ln(1+2e^x) to get the x out of there so I can finish isolating x. I tried balancing it another way...
  28. S

    Proving Congruence Modulo 5 for Powers of 4 and 9

    Hi, how would you show that 4^(k)+4 * 9^(k) \equiv 0 (mod 5)
  29. J

    Natural Isomorphisms: Exploring Significance

    The text I'm reading explains how there is a natural isomorphism between a vector space and the dual of the dual of the vector space. The author explains that this is so because the isomorphism he defines makes no reference to a specific basis of the vector space. I understand that natural...
  30. S

    The Debate Over Natural Numbers: 0 vs 1

    Why do some people define the natural numbers as the integers 0,1,2,3... while others define them as the integers 1,2,3... ?
  31. T

    How to Prove (A OR B) |- (B OR A) Using Natural Deduction?

    Introduction Hello, I have some problems proving the following problem: "AvB |- BvA". I would like to prove this by using natural deduction only. (I know it is possible proving it using truth tables). Syntaxis To avoid confusion I will use the following syntaxis to show my problem...
  32. S

    Reasons for natural occuring forces

    Well, similair to the reasons behind gravity as in theory of relativity, i would like to know the reasons behind electro magnetism. i would also like to know how exactly the strong force holds hardons toghether and produces atomic stability in varying spaces. Also, why and how is the strong...
  33. E

    Calculate Nusselt Number: Free Convection Air Vertical Channel Different Temps

    What expression should be used to calculate Nusselt number for free convection (of air) in a vertical channel with walls at different temperatures? I have the Bar-Cohen and Rohsenow equations, but I am unsure which situation this corresponds to (and thus which constants to use). Symmetric...
  34. H

    Can You Solve the Equation X^2 + Y^2 + Z^2 = NXYZ for Natural N?

    can anyone give solution to this quation x^2+y^2+z^2=nxyz n is natural
  35. A

    What gives rise to natural frequency?

    What gives rise to natural frequency? Resonance is when an oscillating force has a frequency that matches the natural frequency of a system... but what gives rise to the natural frequency of the system?
  36. C

    Modes of vibration, natural frequency

    Hi.. I have a question about natural fvibration. Every object has natural frequency and modes of vibration. Let us consider a simple cantilever beam for our discussion. and Let's say its first 4 modes of vibration are at 3, 6, 10 and 20 kHz respectively. (I made up these frequency values)...
  37. H

    Natural thinking, common sense, and science?

    I just watched some pbs program about the universe, and the conclusion was that existence is no accident, its the universe working for billions of years... seriously? you just wasted 1hr of my time to tell me something a little kid couldve told me in 10secs..? Im no scientist... but i can...
  38. E

    As CO2-GWD, how does nuclear compares to natural gas and oil?

    As a CO2-global warming denier (GWD), how nuclear power generation compare to natural gas and oil carbon fuels, in start up costs, long term costs, pollution, operating costs? Is there any reason natural gas and oil fossil fuels can not meet projected energy needs, besides the allegation of...
  39. N

    Partial Derivatives of natural log

    Hey all. I'm having some problems with the partial derivatives of e. I understand the basics such as exy2. where I'm getting confused is with the following dz/dx=e(x+y) and dz/dx=1/ex+ey Can anyone help me out with understanding these??
  40. Q

    How Many Ways Can a Natural Number M Be Expressed as a Sum of N Whole Numbers?

    In How many ways can one write a natural number M as a sum of N whole numbers? Consider the two conditions; 1)the numbers appearing in the sum are distinct. 2)the numbers appearing in the sum are not necessary distinct. eg1:eight can be written as a sum of 6 whole numbers as shown below...
  41. S

    Medical Bringing Back Life: The Mystery of Natural Death

    If someone dies in a hospital a member of medical staff tries to brings their heart back to life, sometimes this works. Why if someone dies of nateral causes can't their heart be braught back to life after a while?
  42. A

    Derivatives of natural numbers

    1. I was trying to understand the proof of (d/dx) b^x = (ln b)*(b^x) it says: b= e^(ln b) so, b^x= e^((ln b)*x)) So now we use the chain rule: (d/dx) b^x = (d/dx) e^((ln b)*x)) I understand everything so far, but not the next step. It says then that (d/dx) e^((ln b)*x))= (ln...
  43. V

    Natural Frequency and wavelength

    Homework Statement The portion of a piano string between the bridge and upper end of the finger board is 0.50 meters long. The string when plucked sounds a note of 440Hz- the first harmonic. a. where must the violinist put a finder to pay a C note- 528Hz b Without returning, is it possible...
  44. R

    Differentiation of natural logarithms

    I encountered a proof problem when I was reading up on the derivatives of natural logarithms' section. It gave a rule which said this : \text{For } a >0 \text{ and } a\ne 1 \text{,}\\\frac{d}{dx}(a^{u}) \ = \ a^{u} \ \ln{a\frac{du}{dx}} To prove it on my own, I made a few identities: a^{u}=y...
  45. M

    Natural Log of Units: What Happens to the Units?

    Homework Statement We're doing a lab and we basically had to find ln(Pv), where Pv is vapor pressure of isopropanol. Well, the pressure is initially measured in kPa, but what happens to the units if you take a natural log of that whole thing? For example, if I take ln(5 kPa), do the units...
  46. J

    Integrating Natural Log Function using Integration by Parts Method

    Integrating Natural Log Function using "Integration by Parts" Method Homework Statement The problem says to integrate ln(2x+1)dx Homework Equations I used u=ln(2x+1); du = 2dx/(2x+1); dv=dx; v=x The Attempt at a Solution So, I integrated it using that (above) 'dictionary' and I...
  47. T

    When does natural become man made? What's the dividing line?

    I'm watching a show about reintroducing bison to the great plains, because man killed most of them off. In the same breath they talk about how indians would burn the plains to attact bison to the new growth and that's why there were so many of them. Who decides which is the natural order? I'm...
  48. G

    A natural log inequality with absolute value

    Homework Statement F(x) = (8-12ln|x|)/(x^4) > 0 (a) For what values of x is the expression F(x) defined? Write your answer in interval notation. (b) At what value(s) of x is the expression F(x) equal to zero? If there is more than one answer separate them by commas. (c) The set of...
  49. G

    Is the metric space Q of rationals homeomorphic to N, the natural numbers?

    I don't know if this is more appropriate for the topology forum, but I am learning this in analysis. I am asked to say whether or not Q and N are homeomorphic to each other and to justify why. I am confused as to how to prove precisely that two spaces are homeomorphic, for there are no formal...
  50. P

    Natural force of circular motion

    Homework Statement A 950kg sports car (including driver) crosses the rounded top of a hill (radius = 86.0m) at 10.0m/s. Homework Equations A. Determine the normal force exerted by the road on the car. B. Determine the normal force exerted by the car on the 73.0kg driver. C. Determine the car...
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