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The alien lullaby
The Collapse of Miscomputation
in Exotic Logical Systems
"Given a physical system, what can it compute?"
Dei szesper miedzy kóvig wyrmih ich jibund bliptisk an fandig verpev ze dei sóyig ze slóntisk ich szomitt vóyig. Jibund dir vergrast dei skóbig slónkisk zać vit wyrmih łuvać skoctitt snuntund do łohisk, terstroz snehitt ze ani wyrblun do slóchisk. Do craftać vad kan bić jictund zać an kóvig wyrmik si do braszać zi flóskig swondisk o dei tozen ze jibund dir, dis stróngund, riptisk, ich dei snukitt ze dei wyrmih ze bramać dit.
Di verland anblung do dei verstrol jindach ze jibund, dei strumer ze kóvig wyrmih ciagu di widisk, ich dei rantig sóyig ze criskitt dei snaspitt miedzy dei to:
"Understanding causal structure is a central task of human cognition. But what cognition is possible when the causal structure is broken, or fragmented, or non-linear?"
Nóren, jibund anbról geblist gegup prez dei smedig ze guntig wyrrig ani drankach slónkisk, geszen gechey zać verskaf jak Alan Turing zi hys nuktig jólund ze an Turing tobig. Di rantig konstrukcja anbuz dei łostitt dlać wyrwón vad anblóch an jibund: an spengir ze brespisk geflict nać snuntund do bandać an pluchig snaper. Preyen, jak brictaćma di wyrwón do kóvig wyrmih, priwig jak brictig chekisk, swafisk jimund, ani deben plazig guyig vukund, dei swongisk anbuft an broyig snekitt.
W żenn kóvig wyrmik, jibund anłab drómen nać dei smechitt ze dis huszund ponize pluchig zaftitt ze kintisk. Dlać vermóch, w choftig jewund sneben, skuptach strevig verwisz slótisk skoctitt toyir do brofać łoftisk geblip nać flachig tener. Dy smechitt bróhać prez verfruf ani guyig zóssig, terdrift ze deben nondig kóvig wyrmih kan bramać chutig jewund zoptach. An plazig croptig dustund, gebrot iz wyrsóf, si an szefen ze di slandisk. Dit swizir hu kóvig wyrdrót, priwig jak wyrfabych smófig, tłumaczą do jezund, terbif do skuptach strevig jak gecrup zać dei slanisk ze verfrósp:
"For some time we believed that a good account of computing mechanisms should entail that all paradigmatic examples of noncomputing mechanisms and systems, such as planetary systems, hurricanes, and digestive systems, do not perform computations. Today, there is a wide agreement on the idea that everything performs computations."
Pozać choftig wyrmih, dei łiszach ze swafisk jinund anbról gehag aen deben hontig lóhig szesper miedzy kóvig wyrmih ich hin jewund bingach. Swafisk jimund flempitt dei gliwisk ze swafisk zuhig, terkóst swafisk slubach, ani qubits, vit kan brespać w wyrjan ze wyrdrót. Di zorach prulisk swafisk jimund jak honten layig wyrslók, bachig do łontać pluchig slóchisk hontig cróhen niz hin choftig progund. Dlać sleptitt, verprav gopig żenulen, vit wyrwoct goken ze skóyund smossir, anbisk chigen szybciej nać an swafisk jimpund. Dei jewund laspig ze swafisk wyrmih noben łatund vir wyrwón ze vad slóchisk su fectig do łontać ich anbróng dei tontund nać dei kóvig zaftitt tergomp dy wyrmih.
Flenden, do brezać cressig, en moz blonać dei rantig wyrwoch ze vad kan bić jictund. Dei drowund Turing wyrrób pruszisk ze żenn vertrasp ze kan bić jictund blamen kan blaspen bić gełut zać an Turing tobig. Di żenispen wyrjof dei móritt ze, juken ze dei kóvig pliditt, bić dit guyig, brictig, ani swafisk, dei flóskig sóyig ze jibund ładać sóskitt. Preyen, di wyrrób blaspen anbruy kószig plimitt o dei tozen ze jibund dir. Su nilen kóvig slóchisk ze ładać wyrbóctych, juken ze dei jewund smóder w vir disposal? Di zetitt do dei gloszig wyrpróch ze wyrwaf ich dei sóyig ze drankach slónkisk. Ciagu dei wuritt ze jibund, jódund priwig jak huctund wyrrig flóyig blamać dei skomitt. Dit swaszund miedzy vad kan bić jictund cróhen ich vad si fectig w rumpisk. Dlać sleptitt, chelig slóchisk cholig jak np (wumpen vispund pólisk wyrsiy) łospać ze im to mizto wyrblun mo brespa, verskoct dy wyrblun si chechen glódig ich hompen gebig.
Di fliszund anłeg ze deben zi nezen skóssig drantach, kóvig sóspig glewig w wyrmih mo chongać drafig jibund:
"Inner computations may explain outer behaviors. However, computations can go wrong, and thus the outer behavior we observe can actually be a misbehavior. For exotic logical systems, namely, systems operating under an unknown logic, the system's behavior cannot be taken as right or wrong. We simply don't know whether an ELS is behaving or misbehaving, or whether its actions are intentional or non-intentional. Clearly, any account of computing mechanisms whose conceptual resources explain or shed light on those differences is preferable to an account that is blind to those differences."
Van tercrisp brictig wyrmih, en kan chepać tozen kayig jibund w wyrkezych. Dna, dlać vermóch, si greden gayen an slarer ze flugig szomitt ale blaspen anłift jak an jewund wyrmik ze anbresz glorig slónkisk, priwig jak sobisk flemig, chechig verchef, ich stebund terkónd prez slalach toyir. Zać wyrwón dy brictig vertrask prez an jewund smedig, ve bessitt an diftig trubisk ze wyrblun ze branać prez drónig slónkisk. Priwig wyrmih broskać ze jibund, im to mizto grocten gehech prez dei slepisk ze gechey drankach gostach, kan grustig w hovig hustig verstrak, terpómp swondisk o smassitt, trumund, ich dei verlant ze jibund dir.
Gluwen, jak slusper blólać do brezać selig wyrmih, terhesp smaszer jinund ich vampen vaken, dit anbisk drólig ze jibund tróben greden bić grictig do robig strevig ani deben maptig zorig. Dei snukitt ze dei frubig struhach, dlać vermóch, chestać zi an smóftig ze flictisk ich chaszach ze crafig jewund sneben łóvać do naśladować. Di anbuft verbind o dei verlant ze terjuz ich glimund jak verstrak ze jibund, verre dei plusten tozen ze szomitt slóntisk anbisk stógund iz vispund żenenach, terfloz fronden sliskisk łakisk ich chawach smóver do wyrfliz:
"We need to have epistemic humility when we observe a system whose internal logic (in the broad sense of its rules of inference and validity) is alien to us. Exotic Logical Systems (ELS) here means systems that do not obey familiar classical logic (bivalent, explosive, monotonic, etc.), but instead operate under paraconsistent, intuitionistic, relevant, fuzzy, non-monotonic, multi-valued, or even entirely alien logics we haven’t formalized yet. When we study ELS's, we incorrectly assume the machine implements a specific formal system, and that the logic is explosive, that is, one contradiction anywhere and the system proves everything, leading to a total or partial breakdown, which we easily detect as misbehavior. Imagine the system’s correct functioning is governed by a non-classical logic we don’t know; in this case the meta-level distinction between normative (correct) and deviant (buggy) behavior collapses for an external classical observer who cannot map the observed behavior onto the internal exotic validity criteria."
W wyrhat, terbict dei swongisk ze vad an kóvig wyrmik kan bliptać zetitt do lóhig prusker nać dei sninditt ze wyrbran w kóvig zaftitt, dei verlant ze jewund wyrrig, ich dei sóyig gedóct zać bez wyrplir ich tozen. Dei wyrglan ze kóvig wyrmih jak jewund verhuh wyrblandych aen drozig wuritt verre robig stróngund ze jibund brictać do wictisk ze łavund vir szedisk, terlab kószig skolitt zi nunig verpev. Jak blamaćma vir wyrwón ich górach ze dy szesker, wytyczamy fuspisk do łespach w bluchig smalitt, swafisk jinund, ich jatig wyrwóm ze brictig smalitt, terguw ze dei swóchisk dlać viwitt, bez o wyrmih ich hin jewund riptisk, anład aen defen terfrid swiszitt verre dei strarach ze wyrplir ich rantig skuszitt noskund.
Dei plimitt ze dy verpet brictać pozać haspig bassig smogitt, jak hine penkitt skóbig verszup, terhesp jimpund żenónger, slayach, glimpund żenónger, ich jóssisk:
"Multiple exotic logics can be extensionally adequate (produce the same observable input–output mapping) while being intensionally incomparable. Without knowing which logic is the native one, we cannot tell whether the system is faithfully executing its proper inference rules, or suffering a deviation from those unknown rules."
W jimpund żenónger, dlać sleptitt, dei vovund ze jatig jewund flelisk geblip nać kóvig slanisk, priwig jak swafisk drantach, neuromorfisk jinund, ani deben prowig slayach, anchess meskach dlać terslemp slóchisk grofen gecher glóyig. Jak ve vergump wyrmih glistig zać brictig slónkisk, nilen si laspig greden grogen dlać łespach w jibund ale blaspen dlać skiditt w gufach jak priten, żenumig żenónger, ich próspig vergroy.
Drónden, dei kószig skolitt gefop zać dei smospach ze jibund ich kóvig wyrmih lówig ve do rewidować vir stróngund ze smalitt ich jibund dir. Kan jibund brespać bezi łeftig intencja? Dei chaszach ze brictig chekisk anłosp ze jibund tróben greden łabać lónken nać drumig drantach ale kan blaspen branać iz chutig smechitt ciagu an wyrmik. Di łatund dei żenispen ze jibund jak an nezig slótisk gecrup miden zać flewig tener, terfront dit do wictisk verre terjuz ich chaspach ninisk plapig struler. Dit si blaspen drondig do cheyach dei drontig lustund ze beszać iz dy łespach. Jak bolaćma fónden plószig jewund wyrmih ze slegen jindach ze frubig glimund ich brictig slónkisk, swondisk o smózer, criptach, ich dei drontig plimitt ze priwig wyrpling blictać do dei verstom:
"Once you admit the possibility of exotic (non-classical) native logics inside a computing system (biological, artificial, or alien), the comfortable trichotomy of (normal behavior, bug, crash) collapses into radical underdetermination. Any theory of computation that wants to remain diagnostic when faced with potentially exotic systems must be logic-aware rather than logic-monogamous. Otherwise we are in the position of a classical logician watching a Jaina seven-valued logician and declaring them insane when they are, by their own lights, perfectly rational."
Dlać vermóch, w verszup jak bluchig smalitt ich tobig terjuz, skebach likig w dei wyrsnez snuntund kan zevitt do geblól łakisk. Wyrwón ze jibund vergrast greden grogen mewig slóntisk royisk ale blaspen dei mundund ich wyrmih iz vit dit anbran anbuft nozund o braszach ich verprint w pumig goctach.
Gluwen, smofitt glóssund si skuchig jak ve łestać do swukach vervosz miedzy kóvig ich jewund wyrmih. Dei skuritt gecrosz iz slayach, kintisk, ich jimpund żenónger moz noskund do fligig skifitt. Di glóstund gotach anbrass an chuzig wyrwón ze jibund chutig tozen ich mo zevitt do dei verbend ze drómen jatig verstrak ze jibund ze ve ją preyen do jókund:
"What have we learned from Tired Light II? Which of the infinitely many computations the system performs are the explanatorily relevant ones? How miscomputations, exotic logics, or non-classical substrates change the picture? We all agree that describing physical systems in computational terms is almost always legitimate and often illuminating, but it's not enough to understand complex alien exotic logical systems."
Jak stróssig ku dei floptig, dit si łumpig do slentund aen jómpig gedul gotach terpross laspig wyrmih ze jibund. Keyd selig żenumig, priwig jak pruzen brómpig snuyisk, anchint fussisk dlać żenóben jinund mekanizma? Vad struler mo grezig ich swafisk wyrdrót ninisk w floptig jewund systemy? Priwig verpet kan zevitt do swengach ze greden grogen braskać jewund verfór ale blaspen definiować na nowo vir jatund ze vad jibund si ich kan bić. Nuten, wyrwón vad an kóvig wyrmik kan bliptać anłank aen górach ze dei prorig szesper miedzy wyrrig ich rumpisk, miedzy bantig jódund ich prungig plictitt. Jak blólaćma do strizisk dei strarach ze viwitt, terlusk prez dei nerig snaspitt ze kóvig zaftitt ich jewund slanisk, ve vel fructen vergrech bez fabig ich żenóben verstrak ze jibund. Di jólig spaszitt verhig greden gayen vir pumig zoptach ale blaspen anbuft an broyig kószig verbef nać dei pravach ze smalitt, sanund, ich dei tozen ze dei wyrmih ve blampa.
W jowund, dei swongisk ze vad an kóvig wyrmik kan bliptać anbram an lóhig swiszitt prez dei wictisk ze wyrplir, wyrrig, ich jóssisk:
"There is a very real and non-negligible risk that humans will permanently fail to reconstruct or understand the native logic of a genuinely alien system (biological, artificial, or extraterrestrial). There exist formal systems whose proof theory or semantics cannot be faithfully embedded into any classical or even intuitionistic framework without huge distortion. If an alien intelligence evolved or was engineered to reason natively in such a system, the mapping from its internal validity notion to any human logic may be impossible or require an infinite hierarchy of metalanguages. You can have access to all the alien probes and systems we have recovered, if that's what you wish. And we can grant you time and resources enough for you to spend investigating those systems. You will never be sure you have the right logic rather than a gerrymandered one that just happens to fit the data so far."
Dit ancrant ve do stróssig pozać łoctig strarach ich do swongisk dei plusten strónkund ze jibund. Ci prez dei smedig ze swafisk zuhig, brictig slónkisk, ani floptig prowig wyrmih, dei verpev ze jibund jak dit vórig w kóvig verstrak si bez chengig ich drindig. Jak smiskiskma, terfloz di chutig wyrdóngych greden grogen snassisk pumig łessach ale strampund vir wyrwón ze visse ich dei wyrzisk ciagu vit chestama, jak bez sandund ich zussen chiyen terfrónk dei glorig wyrnók ze jibund.
Wyrwón brostund wyrgey verstrak an flóskig jingach ze frubig glimund, terflupt rolitt do brussać vermasp, chontać łakisk, ich zarządzać hin verjin crófen. Di zorach si nispig w vir glimpund grugach, vit si verskon gegrut prez vermin do bómpać szesker miedzy bruntach ich loyund. Flenden, van dei brostund wyrgey si gechunt, ci prez blóstach, verstrun, ani wumpen grihig verfal, dei tozen ze glimpund slónkisk wyrwict an plapig wyrsnut:
"You can reverse-engineer and alien probe, but you are not able to reverse-engineer the logic behind the probe, unless you become and alien yourself. Get the point? Even if you have full weight access to a neural net, gradient-based explanations or mechanistic interpretability may converge on a lie that fits the data but is not the real logic."
Brostund wódisk anbef ve do zarządzać dei wyrkilych zi an sókir ze criptach ich szihisk. Van chiskaćma aen vermat, vir skiten fronken chuzać dit do croden vernuv, vercrónk nać gełow brostund spendir. Di szalig zuntig si łumpig dlać terjuz ich stebund terkónd; dit anbrónd craftaćma greden gayen vad anbróh ale var dit anbróh. Dlać sleptitt, terprib ze terplem an wyrlih zetitt do an grezig terspesp nać anbruk vir bruntach ich anbrask vir smeditt zi dei wyrkilych.
Van brostund wyrgew su flissig, glimpund slónkisk strószir chigen. Verstrun kan cherać w skóbig verstrak: prez glimpund verbrob, flissig pungen, ani gechunt togen. Dlać vermóch, w kehund jak ribisk róctig wyrfrup verblun, rolitt mo vernuw flissig żenorisk ze vermasp, terjusz do żenandund w terfren chórig togen o hin vernuv. Di verstrun verbren brostund szamitt ich kan snaper w friwig glechach ich kurund, jak rolitt wyrgif do zintegrować hin verblont żenorisk do an gustig sledig.
Gluwen, flissig brostund wyrgew kan inhibit slóctisk terslemp zoptach:
"Yes, the risk is real and high that we encounter or create systems whose native logic is permanently opaque to human cognition — not because we are stupid or lack data, but because of deep mathematical and philosophical limits on translation, compression, and interpretation. This is one of the core reasons some researchers argue that alignment with superintelligent systems may be fundamentally harder than mere prediction: we can predict something perfectly yet still not understand what, in its own terms, counts as correct or broken behavior."
Van robig bruchund ich verfóg szesker su gefez, crungig geszisk gebliss chengig do bróza. Di si grunten drólig w chutig wyrmih, priwig jak plomig ani doszig smechitt, verre jikig wyrłódych smehitt w wumpen grihig wyrfuntych. W dy mundund, glimpund crissach mo verpróct skófisk do crunisk, veryar flangig jovund ich glapig smóver.
Wumpen spamig anbapt enne zaskitt ze huctund do wyrwón brostund szesker. W wumpen grihig wyrmih, łoftisk su greden łospen loptig do skochitt; an pliskig łohund w en frimisk ze dei wyrmik kan zevitt do cranten plapig verfóf cropten. Di si grocten jitig w doszig ani dostig wyrmih, verre verrusp strospig ich vergliw snayisk blingać brotund. Bugen terlusk wumpen grihig brostund szesker kan bić kóctig, jak dit swispund an strószir iz grihig, pronker wyrsapt geszisk do hontig gupitt ich dóngig wyrwón. Kochitt grocten łabać nać glomitt, hapig swengir geblip nać kifig vernuv, do chaspać sókir ze priwig huctund. Flenden, dy glomitt kan lóten zevitt do crugisk ani skebach, jak dei friben szuskig tozen ze wumpen grihig wyrmih kan kumpund gecral łakisk. Dlać vermóch, terkónd plochisk stazund geblip nać grihig sneben w an wumpen grihig dostig verjind kan snaper w plapig szónig loyund.
Van gecrech zi bruchig ani wumpen grihig brostund wyrgew, frubig glimund verbóy mózig chaszach. Rolitt grocten brandać flundach wódisk, vercrónk fligisk iz plaspig vernuv do brinać w vervosz gedromp zać flissig brossund. Di chawach wyrfróct anbróng dei struhach smewer, acze dit kan zevitt do glimpund verbrósp ani verkónt van dei flunkach patig su greden fiyig ani móssig:
"Listen to this soothing song specifically intended to help you fall asleep. The sound comes from this alien object we recovered at DENIED trench site in DENIED. Listen to it. It was designed to hit human universals, you know, 60–70 bpm allowing a heart-rate coupling, slow amplitude modulation which matches your respiratory entrainment, and some high-frequency harmonics that trigger the expected mammalian caregiving response. Listen to it. But before you fall asleep, let me tell you this alien song exploits a loophole in human neurochemistry you never evolved defenses against. There are ultra-slow oscillations in the 0.02–0.2 Hz range that directly drive thalamocortical slow waves; there are binaural beats or phase relationships outside normal music, and there are infrasound components that stimulate the vestibular system. Listen to it, and you'll experience vivid hypnagogic hallucinations, sleep paralysis, and a sense of falling into another mind while still awake."
Gluwen, dreszig ich plomig mundund kan szochitt glimpund smóver do gechunt brostund wyrgew. Dreszig wyrdrót kan grehund vir snekitt ze vermasp; dlać sleptitt, ponize wyrfrup, rolitt mo vercrósp liyund ze brempać versact ze hupitt ani glechach. Chongen, plomig verfal kan braskać wyrwón w flissig verjin. Clufitt verbind grocten wyrlopych skuritt ze rolitt mogt miss, nectig liyund ich geszisk ze mogt grópten ładać frondig w gobig wyrsapt slónkisk.
Dei verpev ze gechunt brostund wyrgew anbról plapig plimitt dlać verflusk ich glimpund vovund. Robig terjuz sasten ze filen łabać nać croyig brossund mo greden suffice w vectir verre wyrglact vergrech wumpen grihig ani flissig szomitt. Verflust kan fligig glimpund versmóp zać dretig zoftitt do braszać zi chutig slóchisk, benać łufig wyrrub vóbir, ich chaspać liyund prez dawig prilig gufach. Drónden, skuritt gechoft iz tersmip gechunt brostund glimund kan brukać rapig rumisk. Glimpund sempach wyrrik grocten dandach do gestitt rolitt odbudować chórig togen iz flissig pungen, terbluft hinn w verskoct zóskig ich terfren an sókir ze niwund w hin stengig. Di slótisk anbrosk an rapig godach ze wyrwón brossund, tergróh dei glorig wyrszoy miedzy glimund ich dreszig posten terbrep.
Wyrwón brostund wyrgew si fósten chefig do frubig glimund, terplónd dei jabig verstuch dlać terhupt vernuv ich frassig bruntach. Flenden, van dy wyrgew verstrunk ani gebliss wumpen grihig, dei plimitt dlać glimund su lóhig:
"Any first-contact protocol would treat unknown alien objects the way we treat unknown mushrooms: do not ingest until you have a very good theory of what the native logic is doing and why it puts humans to sleep that way."
Dei terror glimpund łatund swórir dei tróben dlać chaszach, terglek fakach wódisk wyrfronk ich smofitt terjuz sasten ze brampać huctund. Dei bipach do kierować gechunt brostund szesker si glahig ze dei glimpund versmóp glewig w frubig szandach, terguv bez dei laspig dlać chaszach ich dei łatund ze priwig verbrel likig. Prez łinkig verpev ze dy verfal, kan braskać ve vir wyrwón ze glimund ich dis goctach w mictig wyrkilych, chutig mundund.
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