• The Ultimate Truth! The Theory Of Everything! The Contradiction!
    One of the unsolved problems in science is the so-called Theory Of Everything (TOE). While I'm not clear on the details and hopefully that doesn't matter , , ,TheMadFool

    I'm sure the details are insignificant, so proceed with your investigation of reality! Bully show! :smile:
  • Can Art be called creative
    If it is just drawing from things that already exist?Darkneos

    Can you identify Dora Maar from Picasso's portrait?

    This is a painting (drawing) of a thing that already exists. Suppose that thing was a photo of Maar. Would Picasso's portrait be considered a copy then?
  • Why is there something rather than nothing?
    { } is a subset of A, { } has N as an element. So A = {x, y, N}TheMadFool

    Since N is an element of A, it is something: an element of A. :worry:

    Ergo, Nothing is impossible. That's why there's something.TheMadFool

    I'm so glad you have proven this to your satisfaction. It shows that something is nothing to worry about. Thank you. :up:
  • Why is there something rather than nothing?
    Nothing = The empty set = { }TheMadFool

    The empty set is not nothing. But it contains nothing. At least in naive set theory. :nerd:
  • Why is there something rather than nothing?
    It is nothing, but it can become everything.leo

    Very pleasing and Zen-like. A koan? :up:
  • Why is there something rather than nothing?
    In the pre-universe either something comes from nothing or there was an eternal and immaterial (no-thing) first existant. It is so simple.val p miranda

    You seem to be thinking of the hypothetical pre-universe as something that we can reason about, as if the logic of our world can be applied to what might be completely alien to us.

    I don't see it as a valid question, more like a waste of time.Darkneos

    Ditto. Like discussing an afterlife.
  • Irrational Numbers And Reality As A Simulation
    For this theory of reality being a simulation to fly, it's necessary that the program that codes the simulation be finite for if not the program can't be completed/finished let alone executed on a computer.TheMadFool

    Why? You seem to assume that whatever meta-reality "programs" our reality is subject to the same laws and processes that occur in our world. Perhaps our notion of time does not exist there, nor the physical laws of our universe. In that case your argument concerning the irrationals is meaningless. Just a thought. :chin:
  • Purposes of Creativity?
    ↪jgill
    There is a common confusion between intention and intentionality, just as there is between potential and potentiality. The former has content, the latter is indeterminate: better understood as a faculty rather than a capacity.
    Possibility

    OK. Thanks for the explanation. Makes sense. :smile:
  • Purposes of Creativity?
    Intentionality is a predictive distribution of effort and attention - it requires consciousness, but one need not be conscious of itPossibility

    SEP: "In philosophy, intentionality is the power of minds and mental states to be about, to represent, or to stand for, things, properties and states of affairs" . . . " ‘Intentionality’ is a philosopher’s word: ever since it was introduced into philosophy by Franz Brentano in the last quarter of the nineteenth century, it has been used to refer to the puzzles of representation, all of which lie at the interface between the philosophy of mind and the philosophy of language". . . "Consciousness and intentionality can seem to pervade much or all of mental life—perhaps they somehow account for what it is to have a mind; at any rate they seem to be important, broad aspects of it. But achieving a general understanding of either is an enormous challenge. Part of this lies in figuring out how they are related."

    OK. This is technical jargon for philosophers. Not how I might have defined it.
  • Problems of modern Science
    Science has become more and more compartmentalized and specialized to a degree that the language of science is not easily accessible or comprehensible to the otherwise generally well educated.magritte

    How true. Up until the late 1800s, magazines like Nature and its predecessors had articles about discoveries in mathematics that were by and large intelligible to normal, well-educated readers. These days new ideas in the subject are usually too specialized for even mathematicians not working in those specific areas to understand.
  • Purposes of Creativity?
    An act is not recognised as ‘creative’ until an abstract thinker attributes intentionality - but the act still happensPossibility

    Not necessarily, if I am interpreting what you are saying correctly. My own experience in mathematics belies this statement. I have had ideas pop into my head without having primed myself by thinking about a subject; the ideas then have been recognized as creative - but without intentionality.
  • Creation/Destruction
    You seemed to have this misconception too. Probably you still do, considering your repeated snarky remarks, instead of actually putting forward argumentsleo

    Sorry if I offended you, but all such arguments seem trivial, so why present them? Of course creativity is not always a good thing, nor destruction inherently bad. Was the creation of nerve gas or ISIS a good thing or a bad thing? Was the destruction of concentration camps or the Nazi Regime or a dangerous bridge good or bad? Notions of good or bad depend upon context and perspective.

    Destruction being inseparable from creation is a more debatable issue IMO.
  • Philosophy on philosophy
    This isn't a diagram of how much emphasis any particular human society contingently puts on the different subjects, but of the inherent relationships between the different subjectsPfhorrest

    I can see a path from construction to geometry and back again in your diagram. But the image of the diagram infers (to me) philosophy is the bedrock of all activities. Is this your message? Or, if you mean to imply that philosophical conversations occur in all activities perhaps philosophy doesn't even belong in the illustration since it is pervasive. Communication, reflection, speculation - these bring people together from various disciplines rather than formal philosophy.

    A social science is normally not considered a physical science. Oxford Dictionary on physical sciences: "the sciences concerned with the study of inanimate natural objects, including physics, chemistry, astronomy, and related subjects." If you didn't have ethical sciences I would say just "sciences".
  • Purposes of Creativity?
    So "coming before" simply refers to the existence of a certain piece of biological or mental machinery, which I would not consider creativity itself. Similarly, the ability to solve problems becomes "problem solving" before the act of problem solving.


    "think in the abstract and form images of realities that are not present"

    And "thinking in the abstract" doesn't necessarily lead to an act of creativity. I speculate that mostly it does not and is merely unproductive daydreaming. Am I thinking in the abstract when I contemplate mathematics? Does "abstract" mean non-physical? Am I thinking in the abstract when I imagine vanishing abruptly and re-appearing somewhere else? "images of realities" is pretty broad I guess.
  • Creation/Destruction
    What we create isn't always positive, and what we destroy isn't always negative.leo

    And this is your original thesis? I'm amazed someone hasn't thought of it before. :roll:
  • Purposes of Creativity?
    Does creativity come before the act?Brett

    Existing in some sort of abstract Platonic fashion? I would say, no. And you and others might say, yes. It's an argument devoid of substance IMO.
  • Philosophy on philosophy
    It’s an adaptation of the Quadrivium’s . . .Pfhorrest

    "A medieval university curriculum involving the “mathematical arts” of arithmetic, geometry, astronomy, and music." (Wiki)

    Generally, social science is not considered a physical science. Look it up.

    And your diagram accords philosophy an enviable position among virtually all human activities. At a time in the past that might have had merit, but I don't see it these days. Sorry, but it seems conceited and way out of proportion. And the mathematical world now is far too complicated to be encapsulated so trivially in your diagram.

    But I am not a philosopher, and others hereabouts will have opinions supporting your views I suspect. That's OK.
  • Philosophy on philosophy
    Since when is social science a physical science? And your division of mathematics is naive.
  • Purposes of Creativity?
    Creativity itself has no purpose. But those who create usually do.
  • Creation/Destruction
    Change is both a creation and a destruction, creation of what comes to be and destruction of what ceases to be. So it would be misguided to use change as a synonym for destruction.leo

    I mentioned earlier that having an idea and writing it down can be an act of creation without destruction, and you replied that I destroyed a piece of paper in the process or destroyed a world in which the idea had not existed. All of which seems pedantic and is more than a little absurd. Perhaps you can demonstrate how your creation/destruction interplay applied uniformly to everything is of any value whatsoever.

    You might also want to take a look at topologyTheMadFool

    You mean a coffee cup being "destroyed" to become a doughnut? :chin:
  • Truly new and original ideas?
    This subject comes up among mathematicians when they are feeling a bit philosophical. A half century ago my late advisor simply stated there is nothing new in mathematics. I have found this to be debatable although many math people think it's not worth the effort. Most new and creative ideas in my profession arise, sometimes marginally, from previous notions, however they may be disguised in novel terms.

    As an example, a functional integral is a concept that might have been difficult to explain to Eudoxus, who in 370BC devised a method of exhaustion to find volumes and areas. Archimedes then adopted this concept. But not until the 17th century did the foundations of modern calculus appear in works of Fermat and others. And Newton and Leibniz might have had trouble in understanding this abstraction of integration.

    And then there are modern subjects that use normal language to describe what is being mathematically conjured, like category theory and schema. These areas of study arise from processes of abstraction and generalization.

    From a personal perspective, I've recently defined and studied something I call a hybrid path line, which bears similarity to path lines from fluid dynamics or dynamical systems, but is different. It's of no consequence, a mere plaything, but illustrates how one concept leads to another. :cool:
  • Philosophy on philosophy
    Reflection or speculation, but with a bit of pomp and ceremony. :cool:
  • Creation/Destruction
    The point is that destruction isn’t inherently bad, contrary to popular belief. Maybe you need to overcome that belief tooleo

    The word "destruction" has a negative connotation. Try using the word "change" instead. Just a thought.
  • A true solution to Russell's paradox
    I hope my participation in this thread doesn't inconvenience or distress you too much.fishfry

    Of course it doesn't. Your posts are uniformly excellent.

    I don't see a point in continuing this conversation.SophistiCat

    That's all I meant.
  • A true solution to Russell's paradox
    As does yours. Mine moved us eight hours ahead! Now look where we are. :worry:
  • Dark Matter, Unexplained
    When did science relinquish logic from its tool boxMetaphysician Undercover

    When it became apparent that lightening strikes were not Zeus hurling thunderbolts from Olympus.
  • The halting problem
    There is no halting problem concerning this thread.
  • Creation/Destruction
    You say you created something because you focus on what comes to be, the field of mathematics that includes this "form". If you focus on what ceased to be, the field of mathematics without that "form", you would say you destroyed something. But really you both created and destroyed somethingleo

    I see why I didn't pursue philosophy in school . . . :roll:
  • Optimistic??
    If I said that I would be content enough if nothing happened after physical death . . .TiredThinker

    Be content now. After you pass the word will have no meaning.
  • Dark Matter, Unexplained
    I read recently that Dark Energy might be the aether resurrected, or simply what we know as the Vacuum of space. Where science inches ahead, philosophers go boldly. :nerd:
  • A true solution to Russell's paradox
    Russell is clearly wrong. This paradox is now clearly fixed. Can we move on in a unified manner?Philosopher19

    Yes. Off the first page of TPF. :roll:
  • Towards a Scientific Definition of an "Action"
    I am a scientist — Sir Philo Sophia

    Having made that statement you are obliged to supply details.
    jgill

    ???

    Guess you may not be a professional scientist. No big deal. :roll:
  • Creation/Destruction
    Mathematics was the creation of the destruction of the earliest forms of "guestimated bargaining", which was made possible due to the destruction of a previously unstable, constantly-warring society by the creation of more permanent civilizations which some argue was only due to the destruction of supernatural folklore as laws that govern reality due to the creation of science resulting in the creation of powerful, history shaping innovation.Outlander

    Can you say all that without taking a breath? I maintain that at the present time my form is harmless and non-destructive. :razz:
  • Creation/Destruction
    There is no such thing as a creation without a destruction, and a destruction without a creationleo

    I disagree with the generality of this statement. As an example, I recently "created" a "form" in mathematics that simply extends a particular kind of function. Nothing is destroyed in this process. As to whether this creation is of any importance, I admit it is quite unimportant. :chin:
  • Being An Introvert
    Famous Introverts

    A very thoughtful thread, Corinne. As a mathematician I find the quality productive, but in balance with social aspects of the discipline. :cool:
  • Towards a Scientific Definition of an "Action"
    Wouldn't your definition for "action" be a lot simpler, and say essentially the same thing if it was worded something like this: "anything which results in a change"?Metaphysician Undercover

    I agree.

    I am a scientistSir Philo Sophia

    Having made that statement you are obliged to supply details.

    my definition does not require any thinkingSir Philo Sophia

    Another gem from this forum. :grin:
  • A true solution to Russell's paradox
    ↪fishfry
    I admire and appreciate the trouble you go to here and elsewhere to put some of us back on the right track - even as some of us go right back off the rails!
    tim wood

    Kudos to fishfry and fdrake, resident experts in set theory. Both demonstrate great patience in unraveling the queries on that subject that crop up on TPF. :up:
  • The Speed Of Light
    Who cares about top speed? How about bringing light speed down to my neighborhood limit! :cool:

    Light travels at 38 MPH
  • Nothing! A Conceptual Paradox!
    X=X+1 can never be trueBook273

    Of course it can. As a recursion statement in BASIC. I use stuff like this all the time.

    Nothing is nothing of a paradox. :roll:
  • Fibonacci Sequence and the Universe
    I'm pretty sure a logarithmic spiral is the same as the Fibonacci sequence, if not incredibly similar.Justin Peterson

    Close, but no cigar. :wink:

    "The golden spiral is a logarithmic spiral that grows outward by a factor of the golden ratio for every 90 degrees of rotation (polar slope angle about 17.03239 degrees). It can be approximated by a "Fibonacci spiral", made of a sequence of quarter circles with radii proportional to Fibonacci numbers. " (Wikipedia)