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Vasil Penchev
Bulgarian Academy of Sciences
  1. Fermat’s Last Theorem Proved by Induction (and Accompanied by a Philosophical Comment).Vasil Penchev - 2020 - Metaphilosophy eJournal (Elsevier: SSRN) 12 (8):1-8.
    A proof of Fermat’s last theorem is demonstrated. It is very brief, simple, elementary, and absolutely arithmetical. The necessary premises for the proof are only: the three definitive properties of the relation of equality (identity, symmetry, and transitivity), modus tollens, axiom of induction, the proof of Fermat’s last theorem in the case of.
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  2.  33
    The Kochen - Specker Theorem in Quantum Mechanics: A Philosophical Comment (Part 2).Vasil Penchev - 2013 - Philosophical Alternatives 22 (3):74-83.
    The text is a continuation of the article of the same name published in the previous issue of Philosophical Alternatives. The philosophical interpretations of the Kochen- Specker theorem (1967) are considered. Einstein's principle regarding the,consubstantiality of inertia and gravity" (1918) allows of a parallel between descriptions of a physical micro-entity in relation to the macro-apparatus on the one hand, and of physical macro-entities in relation to the astronomical mega-entities on the other. The Bohmian interpretation ( 1952) of quantum mechanics proposes (...)
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  3. Историята на СССР.Vasil Penchev - 2008 - Sofia: BAS: IPhR (IPS).
    The book is a philosophical reflection on the history of the USSR based on the civilization approach. It is interpreted in terms of Ortodox civilzation rather than in terms of the marxist philosophy of history. "Long-run" civiliaztion dominants of Orthodox Christianity determines the "Soviet period" in th Orthodox "longue durée". This philosophical viewpoint leads to a radical reinterpretation of the history of the USSR ...
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  4.  7
    Историческата приемственост в глобализиращото догонване (Historical Continuity in Globalizing Overtaking).Vasil Penchev - 2009 - Sofia: Acdemic Publishing House.
    Книгата "Историческата приемственост в глобализиращото догонване" е посветена на осмислянето на догонващото развитие на основата lIа историческата приемственост. Основа на разглеждането са историко-философските възгледи на Мартин Хайдегер, като акцентът е pреместен от екзистенциалността, съответно екзистенциала на Грижата, върху историчността и съответно върху Съдбата, разбирана посредством Избора . Същностно е разглеждането както на понятието, така и на историческия екзистенциал за Историческо време. Последното не съвпада с природното, тъй като е неравномерно, нехомогенно, притежава сложна вътрешна структура, може да се разглежда съсредоточено в (...)
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  5. Разумът в цивилизацията. Към философско осмисляне на цивилизационния подход в историята.Vasil Penchev - 2008 - Sofia: BAS: IPhR (IPS).
    The book discusses a civilization approach to philosophy of history. Hegel's idea about "Reason in history" is exemplified as "Reason in civilization" to be justified ontologically the civilization approach in the works of Toynbee, Huntington, etc. together with the conception of "long run": the "longue duree" (the long term) of the French Annales School.
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  6.  17
    Мислене и стихотворене.Vasil Penchev - 2007 - Sofia: "М. Михайлов".
    Heidegger has created a new philosophical genre: poetric and philosophical thought by his paters on Hölderlin and other poets. Philosophy and poetry a two tops of human thought, each of which can be seen from the other one. The book contains essays in that genre and tradition.
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  7. Мъртвият Бог? Хегел, Ницше, Хайдегер.Vasil Penchev - 2007 - Sofia: "М. Михайлож".
    The relation of "God" and "human being" as two fundamental concepts in philosophy is considered in the trdition of Western philosophy: Hegel, Nietzsche, Heidegger ...
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  8.  29
    Физически парадокси във философска интерпретация.Vasil Penchev - 1997 - Sofia: "ЛИК".
    Two physical "paradoxes" (the paradox of twins in special relativity and that of Einstein, Podolsky, and Rosen in quantum mechanics) are considered philosophically from a common viwepoint. Its essence is the unification of "measurement" and "motion". an idea for the generalization of the concept of reference fram is suggested.
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  9.  32
    Битие и наука.Vasil Penchev - 1996 - Sofia: "Дамян Яков".
    The book suggests a "phenomological" philosophy of science, in the sense of Husserl and Heidegger. Reality is consideried as continuity. The scientific model is entangled into reality by many links in a single context rather than to redlect a certain separate part of reality studied by a scientific discipline as an "image of reality", A coherent, rather than correspondent, concept of truth is relevant to that kind of philosophy of science.
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  10. Свирепа Философия. Творчеството на Радичков като философска тема.Vasil Penchev - 2007 - Sofia: Академично издателство "Проф. Марин Дринов".
    The famous Bulgariann writer Yordan Radichkov's works are interpreted philosophically. The genre of philosophical and literary criticism is utilized. Any great writer referring to considerable questions of human life and being, and thus, philosophical. A few short stories, plays, and novels of Radichkov (1929-2004) are interpreted accordingly their philosophical content.
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  11.  62
    Радичков другарува с думите.Vasil Penchev - 2000 - "Филвест".
    A few works of the famous Bulgarian writer Yordan Radichkov (1929-2004) are interpreted philosophically. What is investigated is the availability and inovation of well-known ideas of Western philosophy in them. The great literature refers to human life and being: thus, it shares many topics with philosophy.
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  12.  46
    "Верблюдът" Радичков: въображението като реалност.Vasil Penchev - 2019 - In Пламен Антов (ed.), Магическият реализъм. Sofia: pp. 69-86.
    The text aims to explain Radichkov's special magical capaЬility of creating imaginary worlds. His words do not mean any external reality to which they refer. Тhеу themselves are reality. Radickov's language consists of "ontological quanta". Any ontological quantum means both reality and а certain image of it, indivisiЫe and indistinguishaЫe from each other. Here we сап also involve non-Saussurean semiotics. The signifier and the signified are indivisiЫe and complementary in any sign. The meanings are areas of agreement between human beings. (...)
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  13.  32
    Неразрешимост на първата теорема за непълнотата. Гьоделова и Хилбертова математика.Vasil Penchev - 2010 - Philosophical Alternatives 19 (5):104-119.
    Can the so-ca\led first incompleteness theorem refer to itself? Many or maybe even all the paradoxes in mathematics are connected with some kind of self-reference. Gбdel built his proof on the ground of self-reference: а statement which claims its unprovabllity. So, he demonstrated that undecidaЬle propositions exist in any enough rich axiomatics (i.e. such one which contains Peano arithmetic in some sense). What about the decidabllity of the very first incompleteness theorem? We can display that it fulfills its conditions. That's (...)
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  14.  28
    Теоремата на Мартин Льоб във философска интерпретация.Vasil Penchev - 2011 - Philosophical Alternatives 20 (4):142-152.
    А necessary and sllmcient condilion that а given proposition (о Ье provable in such а theory that allows (о Ье assigned to the proposition а Gödеl пunbег fог containing Реanо arithmetic is that Gödеl number itself. This is tlle sense о[ Martin LöЬ's theorem (1955). Now wе сan рut several philosophpllical questions. Is the Gödеl numbег of а propositional formula necessarily finite or onthe contrary? What would the Gödel number of а theorem be containing Реanо arithmetic itself? That is the (...)
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  15.  32
    Парадоксът на Скулем и квантовата информация. Относителност на пълнота по Гьодел.Vasil Penchev - 2011 - Philosophical Alternatives 20 (2):131-147.
    In 1922, Thoralf Skolem introduced the term of «relativity» as to infinity от set theory. Не demonstrated Ьу Zermelo 's axiomatics of set theory (incl. the axiom of choice) that there exists unintended interpretations of anу infinite set. Тhus, the notion of set was also «relative». We сan apply his argurnentation to Gödel's incompleteness theorems (1931) as well as to his completeness theorem (1930). Then, both the incompleteness of Реапо arithmetic and the completeness of first-order logic tum out to bе (...)
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  16.  12
    Хегеловата диря в "Онто-теологическият строеж на метафизиката" по Хайдегер.Vasil Penchev - 2008 - In Димитър Цацов, Иван Колев, Панчо Русев, Саркис Саркисян & Цветина Рачева (eds.), ФИЛОСОФИЯТА НА НЕМСКИЯ ИДЕАЛИЗЪМ В БЪЛГАРИЯ. Юбилеен сборник по случай 80-годишнината на Генчо Дончев. pp. 120-134.
    Тhе question which animates Heidegger's paper (''Die onto-theo-logische Verfassung der Metaphysik:) is: "How are God coming in phi1osophy?"; and it is only а sharpening of "th.e question of the onto-theologic character of philosophy". Hegel and Heidegger are bothunited and opposed as identity and difference. Both being and existing descend from difference. Equilibrium (Aпstrag) arranges the unit of being and existing.
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  17.  9
    Съдбата на битието (Синоптичен поглед към четири текста от Хайдегер).Vasil Penchev - 2005 - Философия 14 (3):23-30.
    ,.Въпросът, gали и как, и в какВи граници е възможно твърgението ,.Бог е" като абсолютно постаВяне, сега обаче става и остаВа за Кант тайната поgбуgа, която поgкарВа цялото мислене на ,.Критика на чистия разум" и заgВижВа послеgващите главни работи" (Мартин Хайдегер). "Религиозният и философският абсолют, Deиs и Esse не могат ga не бьgат взаимосВързани. КакВа е тази взаимоВръзка от глеgна точка на битието и познанието? В простото тВърgение ,.Бог е", тази връзка се gостига; но нейният характер и преgстаВляВа истинският проблем (...)
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  18.  8
    Противофактовите исторически изследвания.Vasil Penchev - 2006 - In Антоанета Запрянова, Благовест Нягулов & Илияна Марчева (eds.), ИСТОРИЧЕСКАТА НАУКА В БЪЛГАРИЯ: СЪСТОЯНИЕ И ПЕРСПЕКТИВИ. Материали от Kpъrna маса по повод Анкетното проучване "Историци за историЯта", проведена на 23-24 ноември 2005 r. в Институrа по история при БАН, София. pp. 103-113.
    "Това, което прави от една история историческото, никога не може да произлиза само от източниците: изисква се теория на възможната история, така че да може източниците да бъдат въобще накарани да говорят" (Райнхарт Козелек). "Следователно ние се нуждаем от теория: една теория на възможната история. Такава теория е имплицитна вьв всички работи по историография: вьпросьт е само да се направи експлицитна." (Райнхарт Козелек).
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  19.  12
    Хайдегер за картината "Сикстинската мадона".Vasil Penchev - 2005 - Философия 14 (5):42-46.
    «Сикстинската мадона» основава и завършва зданието на църквата , казва Хайдегер . Тя е първото и последното и тя е , която придава зъвършеност. Сред сградата на съществуващото откритост и събраност може да й придаде възможност да се мисли цялостност, смисъл , облик и завършеност.
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  20.  12
    Подходи към осмисляне на периода на "перестройка" в СССР. Проектът за репроектиране на социализма (1 част).Vasil Penchev - 2008 - История 16 (2-3):113-121.
    В средата на 80-те години съветското общество не е в криза, а в изчерпаност. До криза довежда тъкмо опитът да се преодолее тази изчерпаност. Дотогава, макар в последните години на Брежнев все по-бавно, икономиката и обществото се развиват за сметка сметка на екстензивни фактори. Това, което се опитва да направи Горбачов е да· прехвърли развитието на интензивни релси. Възможно ли е изобщо обаче интензивно развитие в рамките на егалитаристка и колективитека менталност или в икономика, която може да си позволи да (...)
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  21.  5
    Онтология на квантовата информация.Vasil Penchev - 2005 - Philosophical Alternatives 14 (2):110-116.
    The article is devoted to quantum information (including its subdomains, namely: quantum communication, quantum computer, quantum cryptography), and its philosophical meaning. Paradox EPR, Bell’s inequality, phenomena of teleportation are discussed of a philosophical point of view. Quantum mechanical nonlocal correlations are interpreted as topological inseparabilities. Information is considered both as a fundamental physical quantity and as a philosophical category.
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  22.  8
    Към фундаментална история (пет тезиса).Vasil Penchev - 2008 - Philosophical Alternatives 17 (4):156-163.
    Водещият въпрос, който искам да поставя, е какво може да означава "смяна на фундаменталната онтологията"? Какво може да замени фундаменталната онтология? Какво би представлявала самата замяна и дали самата замяна е нещо различно от новото, дошло на смяна? Това е опит да се мислят изходните положения на Хайдегер като възможности и следователно допускащи ясно формулирани алтернативи.
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  23.  6
    Единството на ум и сърце като идея за фундаментална история.Vasil Penchev - 2006 - Философия 15 (6):20-34.
    Да се постави проблемът за съgбата като централен философски означава тъкмо да се опознае как чоВек твори сам себе си в онтологичен план. Или от познавателна гледна точка как човек мисли исторически. т.е. мисли в собстsения (Хайдегеровия) смисъл на мислене, като еgинстВо на ум и сьрце - еgинстВо, трансценgентиращо трансценgенталните граници на чистия разум.
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  24.  7
    Образованието като философска тема. Гадамер за образованието.Vasil Penchev - 2004 - In Витан Стефанов, Алекси Апостолов, Тодор Тодоров & Николина Сретенова (eds.), КУЛТУРА. ФИЛОСОФИЯ. ОБРАЗОВАНИЕ. pp. 59-66.
    The text discusses philosophy of education from Gadamer's and Heidegger's point of view. Education undeceives people and humanity in accordance with their essence and nature in openness of progress. Education conceals the human being from and Ьу means of the truth in nature. lt is exhiblted the connection with the worldwiews of Platon, Rousseau, Nietzsche, and Dewey.
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  25.  4
    Квантовият компютър: квантовите ординали и типовете алгоритмична неразрешимост.Vasil Penchev - 2005 - Philosophical Alternatives 14 (6):59-71.
    A definition of quantum computer is supposed: as a countable set of Turing machines on the ground of: quantum parallelism, reversibility, entanglement. Qubit is the set of all the i–th binary location cells transforming in parallel by unitary matrices. The Church thesis is suggested in the form relevat to quantum computer. The notion of the non–finite (but not infinite) potency of a set is introduced .
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  26.  8
    Онтология, история и историческо време.Vasil Penchev - 2007 - In Валентин Канавров, Веселин Петров, Димитър Цацов, Любен Сивилов, Николай Турлаков & Христо Тодоров (eds.), ОНТОЛОГИЯТА ПРЕЗ ДВАДЕСЕТИ ВЕК. pp. 328-354.
    В юдеа-християнската религиозна и философска традиция съществува отчетлива тенденция светът да се разбира като история. Тя може да се проследи през Августин чак до Хегел и Хайдегер. На тази основа може да се предложи едно нестрого разграничение между 'метафизика' и 'онтология': метафизиката предполага светът да се разбира като природа, fysis, докато онтологiqya - като (човешка) история. Тогава на емпиричната пропаст между физически исторически опит, на теоретичната бездна между науките физика и история, ще съответствува философската колизия между метафизика и онтология. Тънката (...)
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  27.  5
    Цивилизационни доминанти на дългия период на социално равенство или неравенство в СССР, съвременна Русия и България.Vasil Penchev - 2008 - In Васил Проданов (ed.), НАЦИОНАЛНО, БАЛКАНСКО, ЕВРОПЕЙСКО - ТЕНДЕНЦИИ НА РАВЕНСТВО И НЕРАВЕНСТВО. pp. 42-49.
    Степента на социлано равенство или неравенство е обсъдена от гледна точка на "цивилизационната парадигма" в ис торичта и нейната философия, конкретно в рамките на православната цивилизация. Налице са устойчиви доминанти, релевантни на "дългите периоди" или "бавните времена".
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  28.  6
    Философски поглед към въвеждането на отрицателна и комплексна вероятност в квантовата информация.Vasil Penchev - 2012 - Philosophical Alternatives 21 (1):63-78.
    Математическата величина на вероятността се определя стандартно като положително реално число в затворения интервал от нула до единица, еднозначно опредимо в съотвествие с няколко аксиоми, напр. тези на Колмпгоров. Нейната философска интерпретация е на мярка за част от цяло. В теорията на квантовата информация, изследваща явленията на сдвояване [entanglement] в квантовата механика, се въвеждат отрицателни и комплексни вероятности. Статията обсъжда проблема какво би следвало да бъде тяхното релевантно философско тълкувание.
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  29.  3
    Думата, нейното значение и нейната близост.Vasil Penchev - 1995 - Philosophical Alternatives 4 (6):105-113.
    Предложен е семантичен подход към логиката, в рамките на какъвто е вид дискурс, отличим със своята тавтологичност. На тази основа е даден пример и сравнение с психоаналитичен (Фройдистки) дискурс.
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  30.  1
    Руският преход: разплатата за догонващото развитие.Vasil Penchev - 2004 - In Васил Проданов (ed.), ДОГОНВАЩОТО РАЗВИТИЕ. pp. 258-275.
    Обсъден е преходът към пазарна икономика в Русия: от края на СССР до първия мандат на Путин, както и песпективите за социално-икономическо и политическо развитие.
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  31. Философия на квантовата информация.Vasil Penchev - 2009 - Sofia: BAN: IPhR.
    The book is devoted to the contemporary stage of quantum mechanics – quantum information, and especially to its philosophical interpretation and comprehension: the first one of a series monographs about the philosophy of quantum information. The second will consider Be l l ’ s inequalities, their modified variants and similar to them relations. The beginning of quantum information was in the thirties of the last century. Its speed development has started over the last two decades. The main phenomenon is entanglement. (...)
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  32. Отвъд машината на Тюринг: квантовият компютър.Vasil Penchev - 2014 - Sofia: BAS: ISSK (IPS).
    Quantum computer is considered as a generalization of Turing machine. The bits are substituted by qubits. In turn, a "qubit" is the generalization of "bit" referring to infinite sets or series. It extends the consept of calculation from finite processes and algorithms to infinite ones, impossible as to any Turing machines (such as our computers). However, the concept of quantum computer mets all paradoxes of infinity such as Gödel's incompletness theorems (1931), etc. A philosophical reflection on how quantum computer might (...)
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  33. Математизирането на историята: число и битие.Vasil Penchev - 2013 - Sofia: BAS: ISSk (IPR).
    The book is a philosophical refection on the possibility of mathematical history. Are poosible models of historical phenomena so exact as those of physical ones? Mathematical models borrowed from quantum mechanics by the meditation of its interpretations are accomodated to history. The conjecture of many-variant history, alternative history, or counterfactual history is necessary for mathematical history. Conclusions about philosophy of history are inferred.
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  34.  42
    A Class of Examples Demonstrating That 'P ≠ NP' in the 'P Vs NP' Problem.Vasil Penchev - 2020 - Computing Methodology eJournal (Elsevier: SSRN) 3 (19):1-19.
    The CMI Millennium “P vs NP Problem” can be resolved e.g. if one shows at least one counterexample to the "P = NP" conjecture. A certain class of problems being such counterexamples will be formulated. This implies the rejection of the hypothesis that "P = NP" for any conditions satisfying the formulation of the problem. Thus, the solution "P is different from NP" of the problem in general is proved. The class of counterexamples can be interpreted as any quantum superposition (...)
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  35.  71
    A Formal Model of Metaphor in Frame Semantics.Vasil Penchev - 2015 - In Proceedings of the 41st Annual Convention of the Society for the Study of Artificial Intelligence and the Simulation of Behaviour. New York: Curran Associates, Inc.. pp. 187-194.
    A formal model of metaphor is introduced. It models metaphor, first, as an interaction of “frames” according to the frame semantics, and then, as a wave function in Hilbert space. The practical way for a probability distribution and a corresponding wave function to be assigned to a given metaphor in a given language is considered. A series of formal definitions is deduced from this for: “representation”, “reality”, “language”, “ontology”, etc. All are based on Hilbert space. A few statements about a (...)
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  36. Atomism in Quantum Mechanics and Information.Vasil Penchev - 2020 - Metaphysics eJournal (Elsevier: SSRN) 13 (12):1-11.
    The original conception of atomism suggests “atoms”, which cannot be divided more into composing parts. However, the name “atom” in physics is reserved for entities, which can be divided into electrons, protons, neutrons and other “elementary particles”, some of which are in turn compounded by other, “more elementary” ones. Instead of this, quantum mechanics is grounded on the actually indivisible quanta of action limited by the fundamental Planck constant. It resolves the problem of how both discrete and continuous (even smooth) (...)
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  37. A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory.Vasil Penchev - 2020 - Information Theory and Research eJournal 1 (15):1-13.
    A practical viewpoint links reality, representation, and language to calculation by the concept of Turing (1936) machine being the mathematical model of our computers. After the Gödel incompleteness theorems (1931) or the insolvability of the so-called halting problem (Turing 1936; Church 1936) as to a classical machine of Turing, one of the simplest hypotheses is completeness to be suggested for two ones. That is consistent with the provability of completeness by means of two independent Peano arithmetics discussed in Section I. (...)
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  38.  46
    A Model of Causal and Probabilistic Reasoning in Frame Semantics.Vasil Penchev - 2020 - Semantics eJournal (Elsevier: SSRN) 2 (18):1-4.
    Quantum mechanics admits a “linguistic interpretation” if one equates preliminary any quantum state of some whether quantum entity or word, i.e. a wave function interpret-able as an element of the separable complex Hilbert space. All possible Feynman pathways can link to each other any two semantic units such as words or term in any theory. Then, the causal reasoning would correspond to the case of classical mechanics (a single trajectory, in which any next point is causally conditioned), and the probabilistic (...)
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  39.  19
    A New Reading and Comparative Interpretation of Gödel’s Completeness (1930) and Incompleteness (1931) Theorems.Vasil Penchev - 2016 - Логико-Философские Штудии 13 (2):187-188.
    Peano arithmetic cannot serve as the ground of mathematics for it is inconsistent to infinity, and infinity is necessary for its foundation. Though Peano arithmetic cannot be complemented by any axiom of infinity, there exists at least one (logical) axiomatics consistent to infinity. That is nothing else than a new reading at issue and comparative interpretation of Gödel’s papers (1930; 1931) meant here. Peano arithmetic admits anyway generalizations consistent to infinity and thus to some addable axiom(s) of infinity. The most (...)
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  40.  90
    A Quantum Computer in a 'Chinese Room'.Vasil Penchev - 2020 - Mechanical Engineering eJournal (Elsevier: SSRN) 3 (155):1-8.
    Pattern recognition is represented as the limit, to which an infinite Turing process converges. A Turing machine, in which the bits are substituted with qubits, is introduced. That quantum Turing machine can recognize two complementary patterns in any data. That ability of universal pattern recognition is interpreted as an intellect featuring any quantum computer. The property is valid only within a quantum computer: To utilize it, the observer should be sited inside it. Being outside it, the observer would obtain quite (...)
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  41.  28
    A Reductionist Reading of Husserl’s Phenomenology by Mach’s Descriptivism and Phenomenalism.Vasil Penchev - 2020 - Continental Philosophy eJournal 13 (9):1-4.
    Husserl’s phenomenology is what is used, and then the conception of “bracketing reality” is modelled to generalize Peano arithmetic in its relation to set theory in the foundation of mathematics. The obtained model is equivalent to the generalization of Peano arithmetic by means of replacing the axiom of induction with that of transfinite induction. A comparison to Mach’s doctrine is used to be revealed the fundamental and philosophical reductionism of Husserl’s phenomenology leading to a kind of Pythagoreanism in the final (...)
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  42.  14
    All Science as Rigorous Science: The Principle of Constructive Mathematizability of Any Theory.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (12):1-15.
    A principle, according to which any scientific theory can be mathematized, is investigated. Social science, liberal arts, history, and philosophy are meant first of all. That kind of theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather (...)
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  43.  48
    Cognition According to Quantum Information: Three Epistemological Puzzles Solved.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (20):1-15.
    The cognition of quantum processes raises a series of questions about ordering and information connecting the states of one and the same system before and after measurement: Quantum measurement, quantum in-variance and the non-locality of quantum information are considered in the paper from an epistemological viewpoint. The adequate generalization of ‘measurement’ is discussed to involve the discrepancy, due to the fundamental Planck constant, between any quantum coherent state and its statistical representation as a statistical ensemble after measurement. Quantum in-variance designates (...)
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  44.  28
    Choice, Infinity, and Negation: Both Set-Theory and Quantum-Information Viewpoints to Negation.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (14):1-3.
    The concepts of choice, negation, and infinity are considered jointly. The link is the quantity of information interpreted as the quantity of choices measured in units of elementary choice: a bit is an elementary choice between two equally probable alternatives. “Negation” supposes a choice between it and confirmation. Thus quantity of information can be also interpreted as quantity of negations. The disjunctive choice between confirmation and negation as to infinity can be chosen or not in turn: This corresponds to set-theory (...)
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  45.  33
    Cyclic Mechanics: The Principle of Cyclicity.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (16):1-35.
    Cyclic mechanic is intended as a suitable generalization both of quantum mechanics and general relativity apt to unify them. It is founded on a few principles, which can be enumerated approximately as follows: 1. Actual infinity or the universe can be considered as a physical and experimentally verifiable entity. It allows of mechanical motion to exist. 2. A new law of conservation has to be involved to generalize and comprise the separate laws of conservation of classical and relativistic mechanics, and (...)
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  46.  66
    Equilibrium in Nash´s Mind.Vasil Penchev - 2020 - Philosophy of Action eJournal 13 (8):1-11.
    Donald Capps (2009: 145) suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a human brain.
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  47.  4
    Fysis в работите на Хайдегер за Хьолдерлин.Vasil Penchev - 2004 - Философия 13 (3):14-18.
    Хайдегер има цикъл статии, посветени на немския поет Хьолдерлин и обсъждащи отношението на философия и поезия. Една често срещана "дума" в тях е 'природа'. Нейни рзлични конотации в произведения на философа за поета са предмет на изследване.
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  48.  18
    From the Four-Color Theorem to a Generalizing “Four-Letter Theorem”: A Sketch for “Human Proof” and the Philosophical Interpretation.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 12 (21):1-10.
    The “four-color” theorem seems to be generalizable as follows. The four-letter alphabet is sufficient to encode unambiguously any set of well-orderings including a geographical map or the “map” of any logic and thus that of all logics or the DNA plan of any alive being. Then the corresponding maximally generalizing conjecture would state: anything in the universe or mind can be encoded unambiguously by four letters. That admits to be formulated as a “four-letter theorem”, and thus one can search for (...)
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  49.  29
    From the 'Free Will Theorems' to the 'Choice Ontology' of Quantum.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (33):1-10.
    If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly certain preliminary goal, and the choice is only the mean, by which it can be achieved or not by the one who determines the goal. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, the (...)
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  50.  42
    From The Principle Of Least Action To The Conservation Of Quantum Information In Chemistry: Can One Generalize The Periodic Table?Vasil Penchev - 2019 - Chemistry: Bulgarian Journal of Science Education 28 (4):525-539.
    The success of a few theories in statistical thermodynamics can be correlated with their selectivity to reality. These are the theories of Boltzmann, Gibbs, end Einstein. The starting point is Carnot’s theory, which defines implicitly the general selection of reality relevant to thermodynamics. The three other theories share this selection, but specify it further in detail. Each of them separates a few main aspects within the scope of the implicit thermodynamic reality. Their success grounds on that selection. Those aspects can (...)
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