Concepts Definition and 412 Threads

Concepts are defined as abstract ideas or general notions that occur in the mind, in speech, or in thought. They are understood to be the fundamental building blocks of thoughts and beliefs.
They play an important role in all aspects of cognition. As such, concepts are studied by several disciplines, such as linguistics, psychology, and philosophy, and these disciplines are interested in the logical and psychological structure of concepts, and how they are put together to form thoughts and sentences. The study of concepts has served as an important flagship of an emerging interdisciplinary approach called cognitive science.In contemporary philosophy, there are at least three prevailing ways to understand what a concept is:
Concepts as mental representations, where concepts are entities that exist in the mind (mental objects)
Concepts as abilities, where concepts are abilities peculiar to cognitive agents (mental states)
Concepts as Fregean senses (see sense and reference), where concepts are abstract objects, as opposed to mental objects and mental statesConcepts can be organized into a hierarchy, higher levels of which are termed "superordinate" and lower levels termed "subordinate". Additionally, there is the "basic" or "middle" level at which people will most readily categorize a concept. For example, a basic-level concept would be "chair", with its superordinate, "furniture", and its subordinate, "easy chair".

Concepts may be exact, or inexact.
When the mind makes a generalization such as the concept of tree, it extracts similarities from numerous examples; the simplification enables higher-level thinking.
A concept is instantiated (reified) by all of its actual or potential instances, whether these are things in the real world or other ideas.
Concepts are studied as components of human cognition in the cognitive science disciplines of linguistics, psychology and, philosophy, where an ongoing debate asks whether all cognition must occur through concepts. Concepts are used as formal tools or models in mathematics, computer science, databases and artificial intelligence where they are sometimes called classes, schema or categories. In informal use the word concept often just means any idea.

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  1. mbrmbrg

    Finding a Textbook to Learn Concepts in Calculus

    Anyone know a good text that covers the conceptual aspects of calculus? I can do the math, but I like to understand conceptually what's going on. The current bug in my ear is indeterminate forms (limits of 0xinfty, 0/0, 1^infty, etc.). I see that they are indeterminate (heck, I do the...
  2. R

    Does anybody understand the concepts of Calculus?

    I can learn how to do the problems, but I never understand why I'm doing the problems. Exactly what am I proving or figuring out? I can do derivatives, but I really don't know what a derivative is, I just know how to solve a derivative problem. How do you figure the logic? I swear, Calculus was...
  3. Astronuc

    NASA NASA Institute for Advanced Concepts

    The subject came up in another thread. http://www.niac.usra.edu/ http://www.niac.usra.edu/files/library/misc/ What they have funded. http://www.niac.usra.edu/files/library/misc/Overview_for_AIAA_TC.pdf Highlights of CP 01-02 (from Overview_for_AIAA_TC.pdf)
  4. F

    Can We Crack the Code? Understanding the Concepts of Deciphering

    Can anyone explain the concepts of deciphering codes such as these? CUSFOOEOLYIULSNAOFSDLGTUTAPURIWYNICAOOTDEKDNNHGCY
  5. J

    Is the Limit of the Sum Always the Sum of the Limits?

    I have a few conceptual questions on limits that i need help with.. 1. A student in your class says, "The limit of the sum of two functions is the sum of the limits of the functions." When is the statement not correct? I'm not sure. I thought it was always correct because doesn't one of the...
  6. R

    Resources for Exploring Math Concepts Beyond Calculus 2

    I have a question for those of you who may have seen books/resources on this before. I am just finishing calculus 2 this semester and will be continuing in math next year. What I would like to know is whether there are any books written for my mathematical level of knowledge that would...
  7. S

    Exploring Science Fiction Concepts: Space Combat, Plasma Mirrors, and More

    In case the name didn't give it away, I like science fiction. A while ago (more than a year ago) I decided to look into space combat from a scientific standpoint. After spending huge amounts of time procrastinating from real work by looking up laser efficiencies, theoretical maximums for...
  8. A

    Fluid mechanics: Some elementary concepts

    In this thread, I will explore some elementary concepts in fluid mechanics, starting with the distinction between a particle description and a field description (Lagrangian vs. Eulerian formalism). I will continue by distinguishing between the concepts of particle trajectories, streamlines...
  9. H

    Momentum Concepts: Clearing Up Frictionless Surfaces Questions

    Can anyone help to clear these up for me ? If you have a wedge on a horizontal frictionless surface, a block starts from rest and slides down the inclined surface of the wedge, is rough. During the motion of the block the center mass of the block and wedge --- - would it be moving...
  10. M

    Advanced Electromagnetic and Mathematic Concepts

    Hi All, From electromagnetic theories, with the Lorentz gauge condition for the magnetic vector potential, I get the following wave equation: 1/csquared * d2A/dt2 + del2 A= u0 j. in some literatures, they ignored the d2A/dt2 term and I don't know why they can do that...
  11. V

    Explain to me all these offset concepts

    Maybe I'm just really dense here but can someone please explain to me all these offset concepts like what does it mean to add a DC offset and what does adding a DC offset do to an AC signal? For instance, adding it to a sine wave or whatever other waveforms and decreasing it. Can someone...
  12. F

    Momentum Concepts: Struggling to Find Answers

    Hello I'm stuck on two momentum concept problems and can't figure them out, I was hoping someone could provide help. 1.A small truck and a large truck have the same kinetic energies, which truck has the greater momentum? Justify your answer. Well i know Ek=.5mv^2 and that momentum p=mv...
  13. M

    Simplest question to articulate concepts in General Relativity

    I needed to ask a range of questions about gtr without resorting to the complexity of trying to learn about the formalism on a forum. Many good responses were given to other questions on this forum but the inherit complexity of the situation still left room for misconceptions. Consider a...
  14. J

    Solving these non-numerical problems applying work and energy concepts

    Here they are... (1) A hand exerts a constant horizontial force on a block that is free to slide on a frictionless surface. The block starts from rest at point A, and by the time it has traveled a distance d to point B it is traveling with speed vB. When the block has traveled another...
  15. N

    Someone Explain these Concepts to ME

    Hiya, Ok I have several concepts I've tried to undestand but still can't seem to get how it works... :confused: 1) In sports, you see people "hang" in the air? What exactly is the mechanism behind this...All I can understand is that say a basketball player is jumping and his legs are bent...
  16. J

    Explaining these concepts (circular motion)

    Again, these concepts we discussed in class, but I still do not get them. Can anyone explain why they are true? 1) Will the acceleration of a car be the same when the car travels around a sharp curve at a constant 60 km/hr as when it travels around a gentle curve at the same speed? Explain...
  17. T

    How Does Collision Affect Car Velocity?

    A car of mass 1348kg moving with a velocity of 26m/s collides with a car os mass 674kg moving with a velocity of 21m/s in the same direction. after they collide the 674kg car moves with a velocity of 5.25m/s What is the velocity of the 1348kg object? M1 = 1348kg M2 = 674kg V1 =...
  18. J

    Calculating Speed of m3 Using Energy Concepts in a Frictionless System

    I am not sure how to do this problem without using netF=ma. Three objects with masses, m1 = 5 kg, m2 = 10 kg, and m3 = 15kg, are attached by strings over frictionless pulleys. The horizontal surface is frictionless, and the system is released from rest. Using energy concepts, find the speed...
  19. JasonRox

    My Journal of Basic Concepts of Mathematics

    This journal is the journal that will record my progress through the text: Basic Concepts of Mathematics by Elias Zakon It can be downloaded off the internet with a simple search on Google. I spent the entire summer doing no mathematics, and I lost my drive to doing higher mathematics...
  20. D

    Is It Time to Rethink Our Understanding of Light and Gravity?

    the velocity of light is actually the velocity of free space. 186,283 mps was attributed to light instead of non-dimension space. Space dragging was attributed to mass instead of to non-dimension space, Space twisting was attributed to mass instead of to non-dimension space, Geodetic...
  21. Clausius2

    New Shuttle concepts from Europe

    After being surveying a bit I have found some other concepts of shuttle proposed by ESA-EADS and Russia. Some time ago I heard that ESA was testing a new unmanned RLV called Phoenix, which was an small scale model of Hopper. This model comes to substitute the Hermes, which was never built. It is...
  22. D

    Reimagining Science: Space, Time, and Gravity in a New Light

    has anyone ever seen or heard of these concepts? the velocity of light is actually the velocity of free space. 186,283 mps was attributed to light instead of non-dimension space. Space dragging was attributed to mass instead of to non-dimension space, Space twisting was attributed to...
  23. C

    Choosing the Right Calculus Textbook for Students and Educators

    Is this book by Stewert good as a first calculus book?
  24. P

    Concepts from Timoshenko Book of Mechanics

    Hi everyone, I just thought that it might be useful for everyone if we go through the concepts from the book of mechanics by Mr. Timoshenko. Its a great book. Some people from this forum advised me to refer this book for mechanics. I find it very useful. But I would like to write about the...
  25. A

    Physic Concepts Help: Mousetrap Car Equations

    I need help coming up with all physics concepts dealing with the mousetrap car and I need the equations for those concepts. Plz Help Thnx
  26. N

    Understanding Gaussian Surfaces: Exploring Electric Fields Near Sharp Points

    take a randomly drawn surface,put some charge inside it,this surface should be having some sharp features.if this thing is a metallic surface then it 's surace will be equipotential,due to this charge density on the sharp points will be the maximum,therefore electric field just outside this...
  27. N

    Charge on Surface with Sharp Features

    take a randomly drawn surface,put some charge inside it,this surface should be having some sharp features.if this thing is a metallic surface then it 's surace will be equipotential,due to this charge density on the sharp points will be the maximum,therefore electric field just outside this...
  28. P

    The 10 most important concepts in physics

    I'm trying to collect the 10 (at most, 7 optimum) most important concepts of physics in classical mechanics. If you were left with 7 different concepts, what would you pick? (Assuming you have to live the rest of your life with the 7 concepts that you picked) This is "just for fun", not a...
  29. L

    Understanding Relations in Mathematics

    Not really understanding these concepts. Consider the following relation on the set of all circles in the xy plane: A ~ B if and only if the center of circle A is inside circle B. Is ~ reflexive? Is ~ symmetric? Is ~ antisymmetric? Is ~ transitive? Prove answers. Consider the...
  30. M

    How does distance from the sun affect the apparent brightness?

    I have a bit of a hard time with these concepts mathematically and if i can have one person explain it would be a bit lighter on me and i would appreciate the help I just need in steps the way you would go about working this out: Q:the Earth is about 150 million km from the sun, the apparent...
  31. G

    The ability to visualize abstract concepts

    Salutations everyone, Thank you everyone in this community for taking the time to read my message. I am a third grade teacher in Moreno Valley, California USA. It is my conjecture as a third grade teacher that the encoding during reading in constructing meaning from words is similar to the...
  32. L

    Why do transition elements have different charges?

    1. What is the use of deflagrating spoon? 2. What is the difference between copper (II) sulphide and copper (III) sulphide? (I don't understand what the II, III or IV mean) 3. What is the term for the converse of sublimation? thanks
  33. N

    What Are Some Fundamental Concepts in Biology?

    1) what is diff between osmolarity and molarity? is osmolarity the difference of molarity in a cell and the outside? 2) are both enzymes and substrates pH specific? i know that enzymes are, but are substrates pH specific too? 3) increassing enzyme concentration increases the...
  34. R

    Impact of concepts on Atomic Theory

    During most of the 19th Century physicists believed that atoms were the smallest particles of matter and thus couldn’t be further subdivided. With such characteristics, an atom of one element obviously couldn’t become an atom of another element – a process they labeled “alchemy”. J. J...
  35. N

    Questions about fermantation and respiration concepts

    if you increase the # of yeast cells, then how will it affect the ATP production of cells if the sugar concentratin is held constant? If u substitute galactose for glucose, then how will the rate of atp production byh the cells be affected if the amt of yeast in the experimenent is held cosntant?
  36. M

    Astrology basic concepts of the study

    It seems to me, after reviewing some old threads where Astrology was debated, that there are (at least) two different basic concepts of the study. On the one hand, there are those who think that the planets and stars (and their relative positions) has a direct effect on us (our...
  37. N

    Red blood cell general concepts.

    Can anyone correct me if I am wrong? This is basic basic basic basic basic basic biology, and i am just trying to refresh my memory and make sure that i am stating the correct facts 1) General concepts about tonicity ---- Lets say for example, we have a red blood cell exposed to solutions...
  38. R

    Transition probabilities (basic concepts no math)

    Does it make sense to speak of the probability of finding a system which was once in the ground state in a higher state after a certain time? Since the Hamiltonian depends on time, once you collapse the wavefunction at that time, the energy you get can't be one of the values of the unperturbed...
  39. N

    What Biochemical Changes Occur with pH Shifts and Nucleotide Composition?

    which of the following will most likely be disrupted by a change in pH? 1) hydrogen bonding 2) ionic bonding 3) hydrophobic interactions 4) disulfide bonds 5) neither -I'm pretty sure its not 1) and 2) since changing the pH won't affect the electronegativity of an atom...Pretty sure...
  40. N

    Some general concepts im confused about

    Are my concepts right? -air is the damping force in oscillatory motions also, in what conditions is Hooke's Law invalid? thanks
  41. A

    Learn Math for E&M: Crucial Concepts & Advice

    Hey everyone, This term I'm enrolled in E&M which is a subject I've never formally learned anything in but I've loved for years and gained a lot of practical knowledge in (I'm a Ham radio junkie). Now I'm one week into the course and I really like it but there's one problem that needs to be...
  42. R

    What concepts of General Chemistry are important in Physics?

    I am taking General Chemistry right now, what parts of chemistry are important in the last two years of a physics BS degree?
  43. F

    Understanding Diffraction Grating: Factors Affecting Interference Patterns

    Hello. I need some help bec. I don't quite understand about this interference... What is all about that interference pattern formed by a diffraction grating? Also, are there factors that affect the kind of pattern that a kind of diffraction grating forms?
  44. C

    If Time and Space Are Relative Concepts, Then

    If time and space are relative concepts than how can you qualify both of them in terms such as for example (a) the Big Bang happened 13.7 billion years ago, (b) he took 10 seconds to run 100 meters (c)the shortest distance to that place is 7 km Wouldn't all these claims be stating time...
  45. G

    Two concepts about quantum electrodynamics and quantum field theory

    One question has disturbed me long time, I don't know the distinction between quantum electrodynamics and quantum field theory. By the way, which quantum field theory or quantum electrodynamics textbook is prefer?
  46. G

    Unifying concepts in vector calculus

    I'm a week or two away fromt the end of my vector calculus class and we are covering topics like surface integration, green's theorem and such. The problem I'm having so far is that everything just seems so disjointed and ad hoc, with all these theorems I feel I have to memorize instead of...
  47. W

    Mathematica Reexamination of fundamental mathematical concepts

    Hi, In the attached address ( http://www.geocities.com/complementarytheory/M_E.pdf ) you can find my reexamination of fundamental mathematical concepts. Please read all of it before you air your view about it. Thank you, WWW
  48. Y

    TOE - possible breakthrough concepts

    Re: Background to Universal Quantum Field Geometry and Parallel Singularities Higher Intelligence travels from universe to universe through electromagetic sinks or points of gravitational collapse. Communication with parallel worlds that are moving faster than light through these points by...
  49. talus

    Is the Cambrian Explosion the End of Phyla Evolution?

    Until the mid-1980s, the understanding of the development of animal life was that it had followed the logical path of a gradual evolution with more simple phyla over eons leading into more complex phyla. With the rediscovery of fossils held quietly in the dusty drawers of the Smithsonian...
  50. K

    Is Counting Every Outcome Necessary for Solving Probability Problems?

    Hi...we are doing this now in math. Our teacher insists on writing every possible outcome in a random experiment, which is proposterous. Why write out and literally count something that is fully calculable? I can get some things pretty well. We'll have questions like "4 coins are flipped"...
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