John Young wrote:
"Frenkel believes math deserves to be an integral part of our culture. Why is everyone talking about planets, atoms and DNA and not symmetry groups? For one thing, you can’t get cancer from a mutation of a symmetry group. But Frenkel writes that math 'directs the flow of the universe.' It’s as elegant as music and as much a part of our intellectual heritage as literature. He strives to awaken our wonder by taking us on an equation-packed tour of his research, in which he reveals a “hidden” world few of us encountered in school."
mathematic concepts are usually not actually delved into in the educational system, at least in the era of standardized testing and rote memorization of formulas and equations. it becomes 'call & response' of dumb processing and I/O operations fielded to human transistors, whereby "calculation" is a substitute for mathematical inquiry and questioning (understanding, realization, exploration) and instead becomes detached and forced into a narrow confine of quantity as number, as if this is absolute truth by default of its being calculated in this framework. in this way 'math' can become ungrounded, short-circuited, disconnected from its larger legitimating truth and reality, and made subjective by its compartmentalization and narrowing via too-small parameters and limits, forcing the perspective, via statistics, equations, 'named' variables. as if simply declaring a correlation between number and reality validates it as objective truth, removed of error, as if in a pure state. this ideological vacuum then allowing all perceived or equation-threatening data to be removed as if impure, potentially rankling the bliss of 'divine calculation'. quantifying a situation, modeling it within number is not an end in itself yet has become so due to the loss of logical evaluation (beyond binary) of these polarized, authority-based views so reasoned, as if majority perspective or guiding self-interest is magically equated with number even. President Clinton seemingly the biggest believer, endlessly repeating numbers as if the truest reality, defining an entire era of such theorization, which continues today despite the wakeup call of 9/11 providing feedback that the equations are actually wrong in modeling the given dynamics. what if such ungrounded mathematics and ideological belief are the security threat to the state, par excellence. what if wrong and inaccurate thinking and beliefs precedes terrorist activities and perpetuates itself as a terrorist activity from another worldview, not as privileged, island-like. to teach and learn of mathematics is to consider logic, firstly, as it relates to patterns, these in terms of modeling, processes, transformation, into a realm of 'language', where the letter and number co-exist in terms of variables and equations. establishing what is objective, based on its evaluation as hypotheses, proofs, error identification and correction, in-depth consideration of the invisible scaffolding or structure of ~number that most closely corresponds with empirical truth in its given dimensions, as a cosmic structure connecting everything within its interwoven, nested order that can be identified and referenced, akin to a physics of nature and metaphysics, yet prior to things or stuff, the essence of it involves grounded truth that sustains the shared reality across the entire yet hidden realm, micro to macroscopic, interdimensional circuitry. it is incredibly easy to skew data models and equations via the mismatch between what exists and what is presented or represented to exist, either by ignorance or malice, so to frame a picture or worldview upon and within which interactions take place. power resides in naming and confining data and perception into controlled variables, defined by some observers, picking and choosing truth to preference some truth over others, or entirely misrepresent 'the facts' yet within the conceit of objectivity-- because it can be said, and assumed grounded within number. as if there is no subjective unsteadiness with boundaries or parameters or false limits in evaluation which _must be upheld and protected for the worldview to proceed unimpeded in its self-righteousness, error-free, as if divine insight, being able to claim ownership of what is true, real, declaring it via its calculation in these terms yet which has been removed of its accounting in truth, beyond that of onesided binary evaluation. paradox is ignored, never dealt with. it cannot be. 2-value logic does not allow for it nor require it, and cannot withstand 'other calculations'. this, false empiricism of the relativist mindset ensconced within the shallow sign of numbers as equations that become SYMBOLIC calculations as if metaphysics at work, religious belief transmitted into the view secured, yet of a particular or partial truth that leads and allow demagoguery and shadow boxing, never really accounting for the truth beyond observer ego, yet the observer in their righteousness is made infallible likewise, because the patterns are matched, as believed, number confirming reality. the idea that number could be ungrounded, never in question. mathematic awareness, such as through arithmetic, involves more than equations. it defines a way of relating to the world and provides a model for comprehending it, especially in its interwoven patterning. such as the concepts of proportion as this relates to aesthetics, and spans natural and visual art and music as concepts, including 'harmony' or 'ratio' as these may co-exist across molecular forms, Western architectural orders, and octaves and chords in music. lacking that foundation, the truth of the patterning, then leads into a disconnected, disassociated realm that such concepts are only encountered later in life, and reconnected in their truth on an intuitive basis, never clearly or coherently understood as the basis for these connections, versus some after-effect or undocumented anomaly that they appear to be in a system for promoting illiteracy. 'the sign of math', the symbolic equation, replaces and stands in for the truth of math, the truth of number beyond the sign of the number (e.g. "1"). in this way what is taught via rote memorization and automated reply for standardized error-checking is pattern matching of the signage, did the equations match the variables, and not the underlying truth in its larger parameters and daresay it, foundational context ~as thinking. instead it is memorization. mimicry to some extent of thinking through something that is already figured out as an equation, and thus what is mediated is the signage, not the substance involved in the underlying questioning, which is bounded by 'mathematics as language'. as if the issues of math equate with learning to write cursive letters in the alphabet, so too equations: you matched input and answer correctly = truth. and this is not actually math, this is surface level calculation, it is not 'thinking through mathematics' it is processing data in such structures that are beyond thinking, bounded as ready-made solutions for input. the calculator itself the defining tool for culture that in turn develops computers into advanced calculators (no more), and electronic music instruments likewise. stuck in a bounded paradigm, predetermined in a limited realm of consideration and functioning. highly linear, serial processing in a standardized confined format, all based within memorization, where the 'sign' stands-in and replaces the truth it supposedly references and represents, yet is so warped and skewed as to directly contradict what is real and in this way, ungrounded mathematics and beliefs based upon 'number' as if symbolic, equated with universal truth, establishing, allowing, determining the basis for the false reality, the false economy, the false relations, the false worldview and perspective in all its idiocy. here you have the basic mind-body problem turned into a structural disconnection between mental and physical reality and thus its mediation (via false representation) can further and further separate these SIGNS from what they actually reference and are 'truly believed' (or not) to represent, in that the model can be warped, error-reliant, self-serving, and corrupted to only some viewpoints and some parameters - whose truth beyond these limits _cannot be questions, nor can the equations, because they are secured as ideological structures of 'shared belief'. even while this can be based in falsity, wrong assumptions or ill intent, misrepresenting reality so as to control it, etc. in this way: "education" that is against learning based in truth, and any logical reasoning that does not conform to predetermined and vetted 'correct answers' as standardized. consider concepts like innovation in this bounded state, what parameters are innovating allowed to occur within and where is it forbidden, illegal. as this relates to issues of power, authority, control over interpretation, the notion of 'democracy' in such a corrupt framework to begin with. then, consider the mind-body split, as institutionalized and enforced, as this relates to politicized interpretations of neurologists, psychologists, and psychiatrists (amongst many others), who rely on these 'quantified models' and statistics and skewed modeling to again: pattern match, as if this correspondance is inherently going into a circuit of grounded truth, and not a more surface layer of evaluation -- as language -- whereby the 'sign of something' is equated with its actual truth, versus a reference, a hypothesis, a question requiring more than a single parameter to validate-- though this is unnecessary in a binary worldview. all that is required is the fragment to conclude the nature of the whole, if parameters are controlled, this subjectivity achieved, structuralized, allowing 'truth to be written' as if observation itself is a direct connect with unerring Obs. so whose the craziest, the person evaluated or the person evaluating them, basing their evaluation in fantasied self-serving ideological notions that privilege the rightness and trueness of their observation based on self-belief as it is shared amongst others and institutionalized this way. can an entire civilization be mad? it appears so. the bullshit machine starts at the person unable to evaluate their own errors, firstly. though this may instantly break mirrors and bring years bad luck, for all the patterns will suddenly be off, and a new stage of learning would begin, requiring 'not knowing' in place of expertise, and loss of control over determining truth and its biased rationalization, for another engagement with reality, including others, as this relates to social structures, power, attitude, lifestyle, recontextualized beyond just private boundaries or interpretations. it is easy to do this for others, to look and find errors within others, yet hypocritical if not addressing the same within the self firstly, and then learning to empathize with a general condition faced by many, how to deal with the self and others within the dysfunction, how to achieve a solid foundation for shared relations when there are none. how to establish and recognize truth even in its decayed state of ruin, and salvage, recover, and rebuild with it, instead of ignore and based interconnections on its corruption (pT), an insecure state then can and should be collapsed in other words, people are trapped in and exploiting faulty models of thinking. people from children to the elderly have never been taught how to think, beyond binary processing of data in terms of unchecked relativistic biasing, as if "calculators" or 2-value transistors that can be configured into various circuitry and 'compute' answers as a malleable computer of human components, nothing more, nothing beyond these parameters, nor can this machine-like functioning be questioned. that throws a wrench into the automated ideological works. i.e. asking questions, modeling and delving into and studying and resolving the paradox (via new logic), thereby recontextualizing the entirety of the worldview, its understanding, in new terms and parameters and processes of awareness. though in this hyperconnectivity, this parallelism the missing puzzle piece that the ancients needed to combine various incongruity into single shared modeling, taking the relativism and correlating it empirically, via the running of concurrent hypotheses and error-correcting until what remains is only truth, to the degree possible, given the depth of inquiry and exploration instead, all of this is skipped, allowed to ride on the surface in a shallow surface-level interpretation of language as signage, as equations with I/O binary reasoning that collates and tabulates into certain preordained protected structures that reinforce the given limited finite perspective, as if universal, as if hierarchy legitimates the flaws and falsehoods as if 'greater truth' when any evaluation should provide proof this is in error, and instead of observing or being obligated to this correction, instead it is ignored, and ego and belief in a false-model prevails as if of higher mind. what ignorance glorified and crowned this way, who serves such despotism, except those who serve the false reality, unthinking serfs and slaves != what is missing i think, is the recognition of absolute truth as a basis for establishing 'truth' as a empirical concept. since relativistic ideology forbids this to be acknowledged (on the basis for faith in scientific belief, or- symbolic equations that stand-in as SIGNAGE for grounded truth) then the very evaluation or accounting for truth itself is made off-limits via these parameters, partializing the questioning and inquiry to only a highly limited consideration that equates with language, words and sentences that compute or calculate correctly. the greater truth, the depth and essence of the situation, the missing information then vanishes via this control of boundaries by way of private or limiting threshold. and yet every person knows, who thinks, far beyond this constriction of 'official reasoning', as if a kabuki performance, highly stylized interactions and exchanges that are themselves ritualistic, symbolic, though unlike the art of kabuki, ungrounded, able to be skewed, warped, and twisted into falsehood- yet still representing 'shared truth' as it overpowers alternative interpretations or views, then represents them why this matters is because it feels wrong, it is known to be untrue, yet becomes normalized, standardized, the status quo way of doing things and essentially programs and formats our being, the way people are and interact and relate, as this can be controlled and commoditized, just look at the role of trends and mass marketing luring people into eating poisoned and toxic food supplies, the untainted too expensive for most i saw this sign and it says everything about what is missing: http://www.flickr.com/photos/innmotion/with/7433941288/ (logic is a feeling) the truth of feeling, the truth of knowing is missing within the equations and computations because they are ungrounded and superficial, yet allowed to exist this way because logic is absent to account for truth beyond the default binary ideology, which is despotically religious, those who stand-by the falsehood believe themselves to have highest truth, and are in control of what is represented, validating their false supremacy. (note: regarding logic is a feeling, it is also possible that a binary evaluation would equate 'feeling good' with truth, which could be ignorance, such that if a person says something and makes you feel bad, that what they are saying would be false. whereas a more rigorous understanding would involve how the body itself carries within it a compass for truth, via intuition if not pre-language knowing, via pattern matching (this going back to Plato in Timaeus) where what is like knows itself, via this shared identity, or essentially A=A. and how love could operate in this way, where two souls may meet and understand each other already, as it relates to establishing absolute truth or knowing - faith in truth - as the basis for absolute truth in logic. if this securing of truth is foundational, whether in family and-or other relations, it can be a compass that helps guide a person in navigating reality, as with other way markers, lighthouses or obelisks referenced, accurate in their modeling and dimensions. in this way 'grounded truth' could correspond to feelings and provide directionality towards and through frameworks of interconnected, structural truth, whereas ungrounded pseudo-truth could tend towards falsity, if superficial and equated with immediate versus deep physiological or other interpretative response, nervous system and-or brain/mind evaluation. 'the sign of politics' in its corruption and falsity operates in the binary, as call and response, and can manipulate feeling to engineer a shared truth that is distorted, a warped version of reality, and dangerous as a path. whereas the truth of politics can access a grounded condition that is intuitive and shared amongst many and provides a direction and infrastructure of relations within that condition, likely core to all movements in their truth and succeeding momentum, the error-correction and accounting method required to match the beliefs accurately with the reality)
Returning to Whit Diffie musing on what led to his discovery or invention of public key cryptography -- found in what might be termed a hidden world of mathematics -- there may be still hidden mathematical forms of communication that does not rely upon technology's inevitable comsec failure.
makes me think of ~heartfields and ~mindfields, aka brainwaves. how could intimacy be removed of the entanglement of these fields in their _communicative aspects, such as the harmonization of the signaling when in close or working proximity, versus polarized and antagonistic, as this relates to cybernetics and feedback in combined and separate circuitry, issues of equilibrium, stasis, disequilibrium, in terms of existing and changed states, entropy and organization between system boundaries. where is 'truth' in other words. is it only in SIGNAGE? no way. and in this way the truth of mathematic structuring, though also of pattern matching, matched emotions or awareness, sensory influence whereupon interactions with others effect, challenge, and transform personal modeling and observation, questioning and enlargening considerations beyond the finite boundary, as this maps and scales into larger and larger domains - if grounded, more and more solid and removed of error, though if ungrounded becoming more and more unstable, tenuous, requiring of threshold protection, enforced limits to interaction, gated interiorities that limit external interactions, allowing the bubble its universality while divorced from truth both inside and beyond its claim, this corrupt self the highest rule (if grounded truth were achieved in technology, then intuitive computation and intuitive technology, AI that thinks like and beyond humans yet is bounded in its dimensionality and 'truth')
The NSA global invasion appears almost wholly based on the failure of technology rather than mathematics, as our esteemed cryptographers remind. Much of the current tweaking and further invention appear driven by technology, code, engineering, politics, law and polemics, again not mathematics.
(amazing observations)
No wonder, that, for math is beyond grasp of those who believe the non-mathematical is too hard to see, hear, smell, touch, write, understand, market and melodramatically induce media delirium by way of officially-hostile and unauthorized disclosures.
this is the koan that set my mind spinning for several days. it is ellusive, perhaps this response is a strange read-reply function and not of the same interpretative framework, though what i thought it was getting at is: <srf> "~ those using math as a basis for symbolic yet ungrounded communication ("the sign of math" = true belief), partially or wholly skewed, then _believe that which is not modeled this way, in its physicality, cannot be acknowledged in its truth beyond these biased parameters -- because 'the truth of math' is not operational within these evaluations, it is not the foundation of the evaluative reasoning, instead it is superficuial signage and shared beliefs about these " ' </srf> admittedly quasi-quasi interpretation here, recontextualized into the indoctrination of gradeschool math mindsets that go into professional contexts as if legitimizing 'truth itself' by EQUATING or calculating-into-being what is true, determining via such rationalization, this viewed as a right and born of unequal privilege, though essentially is itself the mark of falsity and evidence of corruption of the observers themselves, to include those wielding mathematics divorced of their greater truth, keeping the ideas confined to self-limiting parameters, allowing games to continue, in what is politicized computation and calculations and analyses by default. all of this binary ideology. all of it can and should be crushed, by making known and irrefutable its falsity and reliance on falsity to sustain its partial, limited truth that is ultimately self-serving, functioning against truth in order to represent it in a partial, controlled, beneficial way to those in charge of the maintaining the perspective; which in this hour should be clearly obvious it aligns well with evil itself, a fundamental disconnect between what exists, what is presented
Whither the NSA bountiful mathematicians in protecting its family jewels of invasive technology? Stuck in crypto labs musing like Diffies in manifold hideways?
Frenkel's linking of love and mathematics is worth pondering in the face of the megalomania, demogoguery, popularity and profitability of faultly technology, ever breeding abuse, counter abuse, blame and exculpation, feeding the market for official joined to unofficial invasion and combat, collateral damage inevitable.
makes me wonder, what if within the subjectivity of mathematics, as this is made into a corrupted technological framework, that coexisting within the ambiguity is the truth of mathematics and truth of love, truth of people functioning, existing, serving beyond these base parameters, and that a standing-reserve of such functionality could still persist and exist in the ruins, likely outside the boundaries conceived of within the default standardized, professionalized, commercial if political viewpoints -- whereby the questions and issues transcend the limits if not also the capabilities of technologies, as hearts and minds secure critical alignment, sharing grounded truth and establishing connections and pathways and passages, providing direction, information and insight, allowing movement and flows of this accurate "illegal data", necessary to transmit and receive to countering the ongoing criminality of overlord oppression, in this way what is crypto, security, secrecy, privacy, if it does not somehow fundamentally correlate and reconcile itself with truth that cannot be shared without obseverance of its parameters and boundaries, that exist outside the warping, skew, distortion, lies, deceptions, relied upon for 'normal' computations of those corrupted, believing self truth truth is the ultimate security, the foundation for the ultimate crypto its compromise, the ultimate insecurity, corruption of everything, secrets included those who rely on lies seem to think the limit to uncovering the deception involves their being honest or having to mediate a situation in and on their terms, this is most certainly not the case. truth can be accounted for beyond the existing controlled boundaries. this evaluation has yet to take place within Western culture for centuries now, apparently. a several hundred year run into an unchecked condition, now pure ideology. in this way, belief is made religious- yet removed of truth, greater purpose, than that of the false gods developing their onesided plans for things in this way, the sign of math absent its greater truth, so too metaphysics and ephemera of information in its truth, a simulcra developed whereby even the planets and start themselves replaced by an inferior substitute lacking substance and meaning, only functioning on the surface as if a desert mirage or hallucination, the fictionalized reality moved into the sky, myth and legend represented by fake constellations of a planetarium, its powerlines and power source mapped back into unstable, trembling structures at the slightest hint of dis-ease of the sustained and shared false construct; "if you are going to do true belief- you'd better get 'truth' right or else an entire worldview can be collapsed via any falsehoods." 35-NET 710-C