ultimately the aestetic pleasure of Math derives from the natural impulse
to search for efficient algoritms useful for deduction
2013/3/25 Alberto G. Corona <agocor...@gmail.com>
> I don´t know what Math is.
> If math is all that is free from contradictions and can be expressed using
> the language of mathematics, then any description at any level can be math.
> For example the set of positions and speeds of the particles of a piece of
> That description has nothing pure to stare at...
> I suspect that there must be more in the description to be intuitively
> called mathematic: short descriptions with general properties applicable
> to a wide set of different phenomena, whether the descriptions are in some
> mathematical formalism or not. I think that the concept of math can be
> subsumed in this last, slightly wider, definition.
> That definition is directly related with kolmogorov complexity and
> Solomonof inductive inference. ultimately the aestetic pleasure of Math
> derives from the natural impulse to search for efficient algoritms useful
> for induction, something that a living being do all the time at some basic
> levels with prefixed algorithms, and humans do at the rational level with
> their models.
> I suspect that the pleasure that these short descriptions widely
> applicable inspire in the one that aprehend them derives directly from
> their value as tools to find regularities in the world so that it becomes
> more predictable.
> 2013/3/24 Craig Weinberg <whatsons...@gmail.com>
>> “The things that fascinate me the most about mathematics are logical
>> thought and the great importance attached to the correctness of
>> propositions. Every step made during calculations is conclusive and
>> mathematicians don’t like to make false statements. This is the reason why
>> people from this particular domain contemplate longer before they respond
>> to questions. Recently I read a sentence in a book which summarizes all
>> this fascinating stuff to me succinctly: ‘Mathematics is the purest form of
>> thought.’” —
>> Barbara Meier (via dauphinexvx <http://dauphinexvx.tumblr.com/>)
>> This is an interesting observation, and I don’t disagree that mathematics
>> is the purest form of thought, but what is thought? While we are at it,
>> what is a form?
>> In the first case, I have proposed that thought is meta-feeling. It is a
>> kind of trick within the interplay of intention and feeling to establish a
>> generalized neutral feeling which can be used like a variable in algebra. A
>> feeling like “I am angry and sad because a tiger ate my kids, but relieved
>> that it was only a dream” can sort of look at itself from a distance and
>> strike all kinds of other thought-like sparks. We can feel fear that dream
>> was a premonition. We can feel motivated to hunt tigers. These need not be
>> thoughts, but emotive dispositions. They don’t entail any awareness about
>> our state or our actions, only a desire for this or that response to a felt
>> The feeling need not be connected to a real event or a particular event,
>> but as we go up the ladder of meta-abstraction, the absence of immersive
>> personal feeling is replaced by formality and clarity. It is an echo of
>> decoherence, as the living wave of direct feeling ‘collapses’ into a
>> thermodynamically unambiguous state, the flow of participation is deferred
>> into analytical hindsight and strategic foresight.
>> On some level, it as if we are picking up the stylus from the universal
>> record and holding onto it while we deliberate our options. Thought is
>> born, in my view, as this kind of deferred meta entanglement…a feeling that
>> is whipped up into a frothy foam where it can be used to the sculpt air -
>> turning absence into a virtual presence through surface tension alone. The
>> thought bubble is hypothesis, and the ultimate thought bubble is
>> Mathematics because it seeks only to distill itself into its own purest
>> form. It is, however, still a form. There is still a thinker thinking the
>> thoughts, and the thoughts are still feelings of a living person, but these
>> facts are hidden from view within the mathematical context. The pretense is
>> toward a universal objectivity.
>> Indeed, it is not incorrect to say that ‘mathematics is the language of
>> the universe’, iff you define the universe to begin with as those forms
>> which can be publicly observed. In my view then, it is really tautological
>> to say that mathematics is the purest form of thought, since mathematics is
>> only the thought of purest forms. What then, are forms?
>> There are many ways to approach such a general term as form, but I prefer
>> the underlying sense which is shared with formality. A presented shape,
>> yes, but more like the logical essence of a presented shape. It is a
>> presentation of coherent qualities; stability and regularity, reducibility
>> to simpler, universal sub-forms, etc. Mathematics explores this aspect of
>> the universe while eschewing and denying all phenomena which seems exempt
>> from form. All things spontaneous and erratic, non-reducible and
>> proprietary are treated poorly. Emotions, free will, and the “I” to whom
>> they belong are not merely pushed to the back of the bus, but they are
>> pushed out the back door of the bus, to be paved over by the steam roller
>> in hot pursuit.
>> I sympathize with people who are unable to conceive of a concretely real
>> phenomenon which generates form intentionally rather than is defined by it,
>> but it is harder to be sympathetic when this disability is compounded by
>> the unwillingness to allow that it can be conceived. In my thousands of
>> hours arguing with STEM-minded people online I have found an overwhelming
>> bias against certain kinds of ideas and laughable acceptance of others.
>> Ridiculously grand abstractions like MWI, or replacing every atom in a
>> human brain roll off of the tongue easily, while ordinary terms like free
>> will are brought under Torquemadan hyper-scrutiny. The double standard is
>> tremendous, yet invisible to those who subscribe to it. Physics can be as
>> counter-intuitive and unexplainable as it wants to be, but if you bring up
>> intuition itself, then be prepared to hear a lot of ‘simply’ this and
>> ‘merely’ that.
>> The good news though, is that through mathematical principles like
>> symmetry, we can move beyond these blind alleys. By applying all of what we
>> know about the public world, its forms and formulations in reverse we can
>> find where the private world of physics begins - not with numbers, but with
>> names; not with abstract thoughts but with sensory experience. To be a
>> living participant in a meaningful universe is to eventually put the stylus
>> down somewhere and let the music play.
>> The second post is shorter but it has pictures, so probably better to
>> just link it: http://s33light.org/post/46154550763 It's about Tupper's
>> Self-Referential Formula
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