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. N

    Medical Understanding DMT: Causes and Effects of Natural Hallucinations

    I want to know whaqt chemicals can cause you to hallucinate naturally. DMT is released from The Pineal Gland and can cause hallucinations. Psychdellics are nothing more than substances that arouse and awaken the mind. They're awareness drugs. So I want to know is DMT the neurotransmitter that...
  2. K

    Natural Numbers and Induction (Analysis with and Introduction to ProofC)

    Homework Statement Prove that: 1^3 + 2^3 + ... + n^3 = (1 + 2 + ... + n)^2 for all n where n is a natural number Homework Equations Proof by induction: a) p(1) is true b) assume p(k) is true then prove p(k+1) for it The Attempt at a Solution I gave this a try for a while but...
  3. T

    Derivative of the natural log

    Homework Statement find dy/dx for y=ln(sec^(2)x) Homework Equations none The Attempt at a Solution 1.)1/(sec(x)^2)*dy/dx sec(x)^2 2.)tan(x)/sec(x)^2 3.)i put it in terms of sin and cos... sin(x)/cos(x)*cos(x)^2/1 4.)i canceled the cos(x) in the denominator and came...
  4. marcus

    The Status of Cosmological Natural Selection (Smolin rebuts Vilenkin)

    The status of cosmological natural selection Lee Smolin 25 pages "The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown...
  5. C

    How to Solve a Natural Log Question for X: Step-by-Step Guide

    I have the problem 3e^(x+2) = e^(-x) and I need to find X. It's been a while since I've looked at any Calculus 2 stuff so I am not sure on what to do here. I take the natural log of both sides LN(3e^(x+2) =LN(e^(-x))= (x+2)ln3e = -xlne So (x+2)Ln3e= -x Where do I go from here?
  6. J

    Find the natural frequency of a system of two pendulums

    Homework Statement OK I haven't been given a definite question with values, but how would you find the natural frequency of a system of two pendulums coupled by a spring? Homework Equations a= -gx/l T=2pi sqrt(l/g) The Attempt at a Solution Well the thing is, I know I need to...
  7. M

    What is the derivative of natural log with exponents?

    Having some trouble understanding derivatives including numbers to the "X" power. For example, f(x)= 7^8^x, f'(x)=? help please!
  8. C

    What are Some Non-Repeating Chaotic Decimals in Natural Numbers?

    Natural Numbers - Pi, Log, ... Greetings, I'm far from an expert on math and I wanted to appeal to smarter minds to help compile a list of numbers with non-repeating chaotic decimals: Here's the first 2 (the only 2 I can think of) Pi e I'd also include the order of prime numbers...
  9. I

    Natural Logarithm Derivative question

    Hi all, I'm a bit puzzled by one of my homework questions. I got an answer, but I have nothing to check it with and I'm not sure that my answer is correct. The question states that y=ln(ln(ln(x))), and asks for y'. This is what I've done, but it seems a bit too simple to me...
  10. C

    How Do You Simplify an Equation Involving Natural Logarithms?

    Hey, I really would appreciate some help with this one as I'm stuck on my coursework. It'll probably be easy for most of you but I forgot how to do this operation with logarithms. See this equation: lny = lnx + BlnK + (1 - B)lnL. How can I change that to one that removes the natural...
  11. DaveC426913

    E=mc^2 in Natural Units: Understanding the Meaning of c^2

    Somewhere a month or two ago, there was a discussion about E=mc^2 and the question of what the c^2 represents. The answer was that c^2 was simply a conversion unit, to put it in more common units of kg, m and s. That, if the formula were considered in more natural distance units of light...
  12. M

    Exploring the Natural Limit of Time

    Hi, I'm new here but have been working in the physics field for years. Most assume time to be infinite. But there appears to be a natural limit on the expansion of time. In the beginning, there was nothing and no possibility of change. How long this state lasted is a misleading question for...
  13. R

    Delta Wing - Natural Control Reversal

    Greetings mega-brains! :biggrin: A delta wing configuration, because it does not have a separation between the main wing and the horizontal tail which holds the pitch control surface(s), has a natural aerodynamic, temporary control reversal when initiating a pitch maneuver from a...
  14. G

    Freewill and natural philosophy

    Can the concept of freewill ever be compatible with a natural philosophy?
  15. P

    How to Solve Exponential Equations with Natural Logs?

    hey 2day i had a test in intro calc and was given the following problem to solve: 50e^(2x) = 100e^(0.5x) i was quite annoyed :mad: at this problem because i didn’t know how to solve it. although i do know that natural logs need to be taken on both sides to solve it, however the...
  16. K

    Need Help In Logic / Natural Deduction

    Hi, I need help please! :cry: In the class that I am in we went from doing tables to this shorter version, and I don't get it. Example: 1. ~JvP 2. ~J 3. S>J /? 4. ? Would number 4. be ~P>J and the supporting lines be 1,3 with the DS (disjunctive syllogism)? I don't get it...
  17. Amith2006

    Sum of the square roots of the first n natural numbers

    Is there a way to find the,"Sum of the square roots of the first n natural numbers"?
  18. P

    How do you determine the natural frequency of a solid?

    All solids have a natural frequency but how do you determine its value? How would you determine it for a large building? I'll guess that for each different material they apply a constant external force with a specific angular frequency. The force with an angular frequency that breaks the...
  19. M

    Cayley-Hamilton Theorem: A Simple, Natural Argument

    If A is an n by n matrix of constants from the commutative ring k, and I is the identity n by n matrix, then Lagrange's expansion formula for determinants implies that adj[XI-A].[XI-A] = f(X).I where f(X) is the characteristic polynomial of A, and adj denotes the classical adjoint whose...
  20. K

    MTS buses powered by clean natural gas

    MTS buses "powered by clean natural gas" I saw several mts buses with signs "powered by clean natural gas". Are these buses really are powered by clean natural gas? If so, what is this natural gas? And why arent most forms of transportation uses this insteading the the polluting gasoline?
  21. P

    Natural Gas from Methane Hydrate Formations

    I am very interested in the economic production of natural gas from sub-sea methane hydrate formations. This development could have a huge impact on the worlds energy supply, as it has been estimated that 80,000 times more hydrocarbon is stored in hydrate formations than all other proven...
  22. P

    Write 2^2 * 3 * 5 as a natural number?

    1) Write 2^2 * 3 * 5 as a natural number? I get 60 is it right or should i put 4*3*5= 60 2) Write 420 as the product of its prime factors in exponent form? What do i have to do ?
  23. N

    Understanding the Derivative of ln(x^2-1)^3x: A Step-by-Step Guide

    just wanted to know how i would differentiate y = ln(x^2 - 1)^3x i thought id first bring the 3x out in front and then do product rule but i don't think that yielded the right answer (i don't know the right answer btw but it didnt look right) y' = 3 ln(x^2-1) + 6x^2/(x^2-1)
  24. D

    Proving Sum of Reciprocal of Natural Numbers is Not an Integer

    How do I show that \sum_1^n\frac{1}{k} is not an integer for n>1? I tried bounding them between two integrals but that doesn't cut it. I know that \sum_1^n\frac{1}{k}=\frac{(n-1)!+n(n-2)!+n(n-1)(n-3)!+...+n!}{n!} but I can't get a contradiction.
  25. Robert100

    Cosmic Natural Selection: Where to start?

    Can anyone offer a suggested article or website to understand Lee Smolin's idea of Cosmic Natural Selection (CNS)? Which of his books (if any) fully describes this concept? (Perhaps "The Life of the Cosmos") Since Smolin first came up with this idea, has he refined it in regards to the...
  26. MathematicalPhysicist

    Axiom of choice and natural numbers.

    i have a few question, that i hope they will answered. 1) let w={0,1...,n,..}={0}UN, and let f:wxw->w such that the next requirements apply: a) f(0,n)=n+1 b) f(m+1,0)=f(m,1) c) f(m+1,n+1)=f(m,f(m+1,n). i need to prove that for every n,m in w, the next statement applies: f(m,n)<f(m,n+1)...
  27. C

    Finding Initial Current and Natural Response in an RL Circuit

    Can anyone please help me slove this example circuit i found. im having a hard time finding the initial current through the inductor and duno how to deal with the dependent source and inductor after the switch is opened.
  28. wolram

    Mystery of the Natural Spring: A Severn Trent Tale

    At a time when there was a hose pipe ban, a person down the village noticed water gushing up from her lawn, she called severn trent (the local water authority and they told her ( it is not our problem it is a natural spring) for 5 weeks this lady watched her lawn being washed down the drain...
  29. Evo

    Goat Weed: A Natural Libido Booster

    Oh my. Just a health FYI. http://health.discovery.com/centers/sex/libido/goat.html
  30. S

    Natural Resources: Will They End?

    will the natural resources ever end from Earth completely
  31. S

    U235 Natural Decay: Find Diagrams & Detailed Info

    I am doing a nuclear physics project for school and i can't find any diagrams which show exactly into which particles (gamma's beta's and alpha's) with how many electron volts U235 naturally decays and exactly how. Where do i find this kind of detail?
  32. tony873004

    Take the natural log of both sides?

    Find the first derivitive. Simplify if possible (factor). \begin{array}{l} y = x^{e^x } \\ \\ \ln y = \ln x^{e^x } \\ \\ \ln y = e^x \ln x \\ \end{array} There's a similar problem in my class notes where it was solved by taking the natural log of both sides. Is this...
  33. V

    There exists or not exists a natural number

    This was one of the problems I encountered when I was in grade 6th. It was quite interesting I think. So I'm posting it here so that you guys can give it a try. ---------------- There exists or not exists a natural number that is just made up by the digit 0, and 1, and that number is divisible...
  34. Astronuc

    The Unreasonable Effectiveness of Mathematics in the Natural Sciences

    Interesting perspective on mathematics from a Nobel physicist. http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html Didn't know where to put something that is more or less math trivia. :rofl: THE ROLE OF MATHEMATICS IN PHYSICAL THEORIES
  35. J

    Storing Natural Gas from Well in Propane Tank?

    Hi experts! As you will see I am NOT one but I have a rather unique problem in search of a solution. I have a natural gas well that runs 11psi but has little volume because it is only 412 feet deep. Rather than pay thousands to drill to approx 850 feet to improve volume, I thought it...
  36. N

    Natural log real life application

    this problem is an excerpt from an explanation of a time wieghted performance method. I feel that if I can follow this part the rest of it will make sense. now i know the answer is .1259 but I'm a little fuzzy on how exactly they got that, and their 'step by step' seems to miss some steps. it...
  37. P

    Is natural selection driven by intelligence?

    First of all I want to make clear that this topic isn't about ID. On wikipedia I read this definition of NS: Not too long ago I saw this story about intelligent bacteria: Further down the article u can read how bacteria behave and 'help' each other out in different situations, some...
  38. B

    Differntiating natural logs of x and y functions

    i have a question I'm attempting as extra work, I have tried the usual method but no luck... find expressionsf for dy/dx in terms of x and y: ln(x^2+1) + ln(y+1) = x +y
  39. D

    Natural and Fundamental Frequencies

    How could you tell if you had missed one of the natural frequencies when you were finding natural frequencies above the fundamental? thnx a lot
  40. marcus

    Elsevier handbook re: Cosmic Natural Selection

    Elsevier is a major science publisher and they do, among other things, handbooks. An Elsevier handbook is scheduled to come out this year (2006) on Philosophy of Physics. Probably some good stuff about foundations of physics and what the success of quantum mechanics and general relativity tell...
  41. Q

    What are the intervals for which the derivative of f(x) is positive or negative?

    let f(x) = ln(x-2)+ln(x-6). Write down the natural domain of f(x). i got this bit right, it's x>6 find f'(x) i got 1/(x-2) + 1/(x-6) which i think is right. then it says find the intervals for which f'(x) is a. positive and then b. negative. for a. i put f'(x)>0 and solved...
  42. M

    Diff EQ, did i mess up on a natural log rule?wee

    Hello everyone the problem I am messing up is: . Solve the following initial value problem: http://img59.imageshack.us/img59/9037/lastscan4vl.jpg When pluggin in answers and using my calculator to evaluate, its saying NON-REAL numbers, I'm messing up hardcore somewhere but not sure where...
  43. X

    Proof w/ natural log and Riemann Sum

    Problem states: (A) Use mathematical induction to prove that for x\geq0 and any positive integer n. e^x\geq1+x+\frac{x^2}{2!}+...+\frac{x^n}{n!} (B) Use part (A) to show that e>2.7. (C) Use part (A) to show that \lim_{x\rightarrow\infty} \frac{e^x}{x^k} =...
  44. X

    Natural logarithmic function problem

    This is the problem: (A) By comparing areas, show that \frac{1}{3}\ll\ln1.5\ll\frac{5}{12} (B) Use the Midpoint Rule with n=10 to esimate \ln1.5.I've seen these types of "comparing areas" problems but I kind of forgot how to go about solving the problem...I was thinking...
  45. J

    Measuring the Natural Frequency of Concrete: Techniques and Considerations

    Does anyone know of any way to measure the natural frequency of concrete? Any input would be extremely helpful, even if the method does require sophisticated technology or machinery :smile:
  46. W

    Solving a Tricky Natural Log Question

    I have a tricky natural log in front of me. It's ln(1/x). The reason it's tricky is because I thought that I could re-write it as ln(1)-ln(x), as per the rules of logs, but that doesn't seem to agree with my calculator. Is there a reason why? Thanks!
  47. M

    Is L'Hopital's Rule Applicable to Natural Log Limits?

    Hi all. I'm slightly confused with the following limit prob: \lim_{x\rightarrow \infty} \frac{(ln (x))^n}{x} which I know = 0. (n is a positive integer) It looks like it's of indeterminate form, that is \frac{\infty}{\infty} Using L'Hopital's, it looks like you get another indeterminate form...
  48. H

    Prove Squeezing Theorem for n Natural Numbers

    Any nice proofs for this? 2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1} I hope the tex came out alright. have fun! ps. n is any natural number.
  49. J

    Does natural selection apply extra-galactically?

    Does "natural selection" apply extra-galactically? Would the rules of natural selection (in this Universe, but possibly in a different galaxy) still apply? In that regard, how might they differ? Basically what I'm driving at is, if we were to encounter life outside Earth who popped in...
  50. I

    Staying Up Late: Natural Remedies to Help You Power Through

    What are good remedies to stay up later? Yesterday night I went to bed at 12:30am, and tonight I have to do that again. But its only 9:30 and I am already sleepy. I keep falling asleep while typing my essay which is due tomorrow. :zzz: What should I eat or drink to stay up later?
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