Results for 'Leszek Aleksander Ko��odziejczyk'

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  1.  2
    Weaker cousins of Ramsey's theorem over a weak base theory.Marta Fiori-Carones, Leszek Aleksander Kołodziejczyk & Katarzyna W. Kowalik - 2021 - Annals of Pure and Applied Logic 172 (10):103028.
  2.  22
    A Finite Model-theoretical Proof Of A Property Of Bounded Query Classes Within Ph.Leszek Aleksander Kołodziejczyk - 2004 - Journal of Symbolic Logic 69 (4):1105-1116.
    We use finite model theory to prove:Let m ≥ 2. Then: If there exists k such that NP ⊆ σmTIME ∩ ΠmTIME, then for every r there exists kr such that PNP[nr] ⊆ σmTIME ∩ ΠmTIME; If there exists a superpolynomial time-constructible function f such that NTIME ⊆ Σpm ∪ Πpm, then additionally PNP[nr] ⊈ Σpm ∪ Πpm.This strengthens a result by Mocas [M96] that for any r, PNP[nr] ⊈ NEXP.In addition, we use FM-truth definitions to give a simple sufficient (...)
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  3.  11
    Categorical characterizations of the natural numbers require primitive recursion.Leszek Aleksander Kołodziejczyk & Keita Yokoyama - 2015 - Annals of Pure and Applied Logic 166 (2):219-231.
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  4.  24
    The polynomial and linear hierarchies in models where the weak pigeonhole principle fails.Leszek Aleksander Kołodziejczyk & Neil Thapen - 2008 - Journal of Symbolic Logic 73 (2):578-592.
    We show, under the assumption that factoring is hard, that a model of PV exists in which the polynomial hierarchy does not collapse to the linear hierarchy; that a model of S21 exists in which NP is not in the second level of the linear hierarchy; and that a model of S21 exists in which the polynomial hierarchy collapses to the linear hierarchy. Our methods are model-theoretic. We use the assumption about factoring to get a model in which the weak (...)
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  5.  10
    The provably total NP search problems of weak second order bounded arithmetic.Leszek Aleksander Kołodziejczyk, Phuong Nguyen & Neil Thapen - 2011 - Annals of Pure and Applied Logic 162 (6):419-446.
    We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in , it characterizes the consequences of and that natural restrictions of it characterize the consequences of and of the bounded arithmetic hierarchy. We also show that over V0 it characterizes the consequences of V1 and hence that, in some sense, a miniaturized version of the principle gives a new characterization of the consequences of . Throughout our search (...)
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  6.  15
    Independence results for variants of sharply bounded induction.Leszek Aleksander Kołodziejczyk - 2011 - Annals of Pure and Applied Logic 162 (12):981-990.
    The theory , axiomatized by the induction scheme for sharply bounded formulae in Buss’ original language of bounded arithmetic , has recently been unconditionally separated from full bounded arithmetic S2. The method used to prove the separation is reminiscent of those known from the study of open induction.We make the connection to open induction explicit, showing that models of can be built using a “nonstandard variant” of Wilkie’s well-known technique for building models of IOpen. This makes it possible to transfer (...)
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  7.  33
    On the Herbrand Notion of Consistency for Finitely Axiomatizable Fragments of Bounded Arithmetic Theories.Leszek Aleksander Kołodziejczyk - 2006 - Journal of Symbolic Logic 71 (2):624 - 638.
    Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic [3] we show that there exists a number n such that ⋃m Sm (the union of the bounded arithmetic theories Sm) does not prove the Herbrand consistency of the finitely axiomatizable theory $S_{3}^{n}$.
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  8.  4
    Approximate counting and NP search problems.Leszek Aleksander Kołodziejczyk & Neil Thapen - 2022 - Journal of Mathematical Logic 22 (3).
    Journal of Mathematical Logic, Volume 22, Issue 03, December 2022. We study a new class of NP search problems, those which can be proved total using standard combinatorial reasoning based on approximate counting. Our model for this kind of reasoning is the bounded arithmetic theory [math] of [E. Jeřábek, Approximate counting by hashing in bounded arithmetic, J. Symb. Log. 74(3) (2009) 829–860]. In particular, the Ramsey and weak pigeonhole search problems lie in the new class. We give a purely computational (...)
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  9. Truth definitions in finite models.Leszek Aleksander Kołodziejczyk - 2004 - Journal of Symbolic Logic 69 (1):183-200.
    The paper discusses the notion of finite model truth definitions (or FM-truth definitions), introduced by M. Mostowski as a finite model analogue of Tarski's classical notion of truth definition. We compare FM-truth definitions with Vardi's concept of the combined complexity of logics, noting an important difference: the difficulty of defining FM-truth for a logic ᵍ does not depend on the syntax of L, as long as it is decidable. It follows that for a natural ᵍ there exist FM-truth definitions whose (...)
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  10.  70
    The strength of sharply bounded induction requires M S P.Sedki Boughattas & Leszek Aleksander Kołodziejczyk - 2010 - Annals of Pure and Applied Logic 161 (4):504-510.
    We show that the arithmetical theory -INDx5, formalized in the language of Buss, i.e. with x/2 but without the MSP function x/2y, does not prove that every nontrivial divisor of a power of 2 is even. It follows that this theory proves neither NP=coNP nor.
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  11.  21
    Fragments of approximate counting.Samuel R. Buss, Leszek Aleksander Kołodziejczyk & Neil Thapen - 2014 - Journal of Symbolic Logic 79 (2):496-525.
    We study the long-standing open problem of giving$\forall {\rm{\Sigma }}_1^b$separations for fragments of bounded arithmetic in the relativized setting. Rather than considering the usual fragments defined by the amount of induction they allow, we study Jeřábek’s theories for approximate counting and their subtheories. We show that the$\forall {\rm{\Sigma }}_1^b$Herbrandized ordering principle is unprovable in a fragment of bounded arithmetic that includes the injective weak pigeonhole principle for polynomial time functions, and also in a fragment that includes the surjective weak pigeonhole (...)
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  12.  1
    How Strong is Ramsey’s Theorem If Infinity Can Be Weak?Leszek Aleksander Kołodziejczyk, Katarzyna W. Kowalik & Keita Yokoyama - forthcoming - Journal of Symbolic Logic:1-20.
    We study the first-order consequences of Ramsey’s Theorem for k-colourings of n-tuples, for fixed $n, k \ge 2$, over the relatively weak second-order arithmetic theory $\mathrm {RCA}^*_0$. Using the Chong–Mourad coding lemma, we show that in a model of $\mathrm {RCA}^*_0$ that does not satisfy $\Sigma ^0_1$ induction, $\mathrm {RT}^n_k$ is equivalent to its relativization to any proper $\Sigma ^0_1$ -definable cut, so its truth value remains unchanged in all extensions of the model with the same first-order universe. We give (...)
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  13.  34
    Truth definitions without exponentiation and the Σ₁ collection scheme.Zofia Adamowicz, Leszek Aleksander Kołodziejczyk & Jeff Paris - 2012 - Journal of Symbolic Logic 77 (2):649-655.
    We prove that: • if there is a model of I∆₀ + ¬ exp with cofinal Σ₁-definable elements and a Σ₁ truth definition for Σ₁ sentences, then I∆₀ + ¬ exp +¬BΣ₁ is consistent, • there is a model of I∆₀ Ω₁ + ¬ exp with cofinal Σ₁-definable elements, both a Σ₂ and a ∏₂ truth definition for Σ₁ sentences, and for each n > 2, a Σ n truth definition for Σ n sentences. The latter result is obtained by (...)
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  14.  13
    Real closures of models of weak arithmetic.Emil Jeřábek & Leszek Aleksander Kołodziejczyk - 2013 - Archive for Mathematical Logic 52 (1-2):143-157.
    D’Aquino et al. (J Symb Log 75(1):1–11, 2010) have recently shown that every real-closed field with an integer part satisfying the arithmetic theory IΣ4 is recursively saturated, and that this theorem fails if IΣ4 is replaced by IΔ0. We prove that the theorem holds if IΣ4 is replaced by weak subtheories of Buss’ bounded arithmetic: PV or ${\Sigma^b_1-IND^{|x|_k}}$ . It also holds for IΔ0 (and even its subtheory IE 2) under a rather mild assumption on cofinality. On the other hand, (...)
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  15.  34
    A note on the E1 collection scheme and fragments of bounded arithmetic.Zofia Adamowicz & Leszek Aleksander Kołodziejczyk - 2010 - Mathematical Logic Quarterly 56 (2):126-130.
    We show that for each n ≥ 1, if T2n does not prove the weak pigeonhole principle for Σbn functions, then the collection scheme B Σ1 is not finitely axiomatizable over T2n. The same result holds with Sn2 in place of T 2n.
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  16.  24
    Partial collapses of the complexity hierarchy in models for fragments of bounded arithmetic.Zofia Adamowicz & Leszek Aleksander Kołodziejczyk - 2007 - Annals of Pure and Applied Logic 145 (1):91-95.
    For any n, we construct a model of in which each formula is equivalent to an formula.
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  17. On Leszek Ko akowski's Philosophy of Religion.M. Prze Ecki & S. Rainko - 1986 - Dialectics and Humanism 13 (1):143-155.
     
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  18.  6
    Truth definitions without exponentiation and the Σ1 collection scheme.Zofia Adamowicz, Leszek Aleksander Kolodziejczyk & J. Paris - 2012 - Journal of Symbolic Logic 77 (2):649.
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  19.  9
    The Idea of the University.Jerzy Brzeziński & Leszek Nowak (eds.) - 1997 - Rodopi.
    Contents: INTRODUCTION. Kazimierz TWARDOWSKI: The Majesty of the University. I. Zygmunt ZIEMBI??N??SKI: What Can Be Saved of the Idea of the University? Leszek KO??l??AKOWSKI: What Are Universities for? Leon GUMA??N??SKI: The Ideal University and Reality. Zygmunt BAUMAN: The Present Crisis of the Universities. II. Kazimierz AJDUKIEWICZ: On Freedom of Science. Henryk SAMSONOWICZ: Universities and Democracy. Jerzy TOPOLSKI: The Commonwealth of Scholars and New Conceptions of Truth. Klemens SZANIAWSKI: Plus ratio quam vis. III. Leon KOJ: Science, Teaching and Values. Klemens (...)
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  20. Z Przewodnikiem po metafizyce.Andrzej Biłat - 2012 - Filozofia Nauki 20 (1).
    The paper is a review of the book Przewodnik po metafizyce (ed. S. Ko³odziej­czyk, WAM, Kraków 2011). The book consists of fourteen essays concerning key issues of metaphysics, mostly written by leading Polish experts. The review contains a number of critical and polemic comments on some of the essays.
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  21.  1
    Creativity and Consciousness: Philosophical and Psychological Dimensions.Jerzy Brzezinski, Santo di Nuovo, Tadeusz Marek & Thomasz Maruszewski (eds.) - 1993 - Rodopi.
    Contents: PART I. PHILOSOPHICAL EXPLANATIONS OF CREATIVITY AND CONSCIOUSNESS. Krystyna ZAMIARA: The psychological approach to creativity. A critical appraisal. Rick L. FRANKLIN: Creativity and depth in understanding. Zdzis??l??awa PIATEK: Creativity of life and F.W. Nietzsche's idea of Superman. Jaromír JANOUSEK: Dialogue and joint activity: A psychological approach. Krystyna ZAMIARA: Some remarks on Piaget's notion of "consciousness" and its importance for the studies of culture. Anna GA??L??DOWA, and Aleksander NELICKI: Attitudes towards values as a factor determining creativity. PART II. THE (...)
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  22.  4
    Zur Gegenwart und Geschichte der Forschungen zu deutschen lexikalischen Entlehnungen im Polnischen.Marek Rafał - 2013 - Acta Universitatis Lodziensis. Folia Germanica 9.
    The article presents research into borrowings from German to the Polish language. That research was initiated in the 19th century. German lexical borrowings were linked to other linguistic issues, such as morphology, syntax, phonology or semantic field theory. The most important researcher of German borrowings in Polish were Aleksander Bruckner, Leszek Moszyński, Ludwik Zabrocki, Wilhelm Kästner, Alicja Karszniewicz-Mazur etc. The article is a critical analysis of the most significant publications on this subject.
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  23.  13
    Internal bolshevisation? Elite social science training in stalinist Poland.John Connelly - 1996 - Minerva 34 (4):323-346.
    From the viewpoint of its Stalinist-era creators, the IKKN/INS could at best be described as a mixed success. Despite heroic efforts, it failed to train the cadres that might have permeated Polish scholarship with Marxism-Leninism. If it was the major channel for transmitting Soviet experience to Polish academia, then Poland's universities would not learn to be Soviet—the Polish historian Jerzy Halbersztadt has made the point that the institute was the only direct conduit of Soviet experience into Polish academic life. It (...)
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  24. Galicyjski ateusz. Profetyzm, mistycyzm i romantyzm w twórczości Aleksandra (Leszka) Dunina – Borkowskiego.Tadeusz Półchłopek - 2013 - Hybris, Revista de Filosofí­A (20):136-155.
    THE GALICIAN ATHEIST. PROPHETISM, MYSTICISM AND ROMANTICISM IN ALEKSANDER (LESZEK) DUNIN BORKOVSKY’S WRITINGS Using the example of Leszek Dunin Borkowski’s works, the author presents a form of a dialogue with a biblical source which was literary prophecy and mysticism. This philosophical basis converted poetic statement into a cultural discourse with traditional forms of religiousness. The outcome of this aesthetics led to the extension of the liberation ideas supporters’ circles as well as to promoting democratic ideas.
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  25.  30
    Leszek Nowak, U podstaw marksowskiej metodologii nauk. [REVIEW]Leszek Nowak - 1974 - Dialectics and Humanism 1 (2):171-173.
  26.  18
    A letter from the president of the republic of Poland, Aleksander kwaśniewski, patron of the international conference on “conflict of interest and its significance in science and medicine” held in warsaw, Poland on 5–6 April, 2002. [REVIEW]Aleksander Kwaśniewski - 2002 - Science and Engineering Ethics 8 (3):267-267.
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  27.  3
    Introducing the Ko Corpus of Korean Mother–Child Interaction.Eon-Suk Ko, Jinyoung Jo, Kyung-Woon On & Byoung-Tak Zhang - 2020 - Frontiers in Psychology 11.
    We describe a corpus of speech taking place between 30 Korean mother–child pairs, divided in three groups of Prelexical, Early-Lexical, and Advanced-Lexical. In addition to the child-directed speech, this corpus includes two different formalities of adult-directed speech, i.e., family-directed ADS and experimenter-directed ADS. Our analysis of the MLU in CDS, family-, and experimenter-directed ADS found significant differences between CDS and ADS_Fam, and between ADS_Fam and ADS_Exp, but not between CDS and ADS_Exp. Our finding suggests that researchers should pay more attention (...)
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  28. Matthias Koßler, Substantielles Wissen und subjektives Handeln. Dargestellt in einem Vergleich von Hegel und Schopenhauer. [REVIEW]Matthias Koßler - 1992 - Schopenhauer Jahrbuch:167-172.
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  29.  10
    Aleksander iz Afrodizijade o skupnem čutu.Pavel Gregorić - 2017 - Filozofski Vestnik 38 (1).
    Aristotel je vpeljal pojem skupnega čuta, zaznavno zmožnost višjega reda, ki združuje in nadzoruje posamezne čute. Osnovni namen prispevka je predstaviti, kako je skupni čut in njegove funkcije razumel Aristotelov najodličnejši antični komentator Aleksander iz Afrodizijade. Avtor je pri tem pozoren na Aleksandrovo ujemanje z Aristotelom ali odmikanje od njega, opozarja pa tudi na njegove prispevke k problematiki. Drugi cilj prispevka je obravnava enega posebnega odmika, ki je prevladoval v kasnejših razlagah Aristotelovega pojma skupnega čuta, tj. analogije med skupnim (...)
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  30. Hōhō to shite no kokugaku: Edo kōki, kindai, sengo.Tsuyoshi Kawakubo, Kyōko Hoshiyama & Kumiko Ishikawa (eds.) - 2016 - Tōkyō-to Meguro-ku: Hokuju Shuppan.
     
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  31. Kulturowy status twórcy – genialność czy szaleństwo. Rzecz o transgresji.Leszek Lorent - 2011 - Zagadnienia Naukoznawstwa 47 (190).
    Niniejsza wypowiedź jest próbą ukazania wyższości intelektualnej jednostki wybitnej nad jednostkami przeciętnymi. Transgresja jest tutaj formą przejścia, przemiany artysty, negującego zastany porządek świata, pragnącego podłożyć podwaliny pod nową rzeczywistość widzianą oczami szalonego geniusza - Friedricha Nietzschego, do którego często się odwołuję. Jego pojęcie \"Nadczłowieka\" jest tożsame z pojęciem genialnego twórcy, jednostki wybitnej, niezrozumiałej przez pospólstwo, która swoimi horyzontami twórczymi wybiega daleko poza własną epokę\".
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  32. Igor Aleksander, Impossible Minds. [REVIEW]Richard Wilson - 1998 - Journal of Consciousness Studies 5 (1):115-115.
    Igor Aleksander has spent many years developing artificial neural networks of a special category called weightless - the elements are effectively chunks of computer memory - which show interesting and useful properties. In this book he gives us an overview of his research leading to his "basic guess" about consciousness: he thinks that the brain is a neural state machine, the activity of this machine is the mind, a subset of which is conscious. I leave it to the reader (...)
     
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  33. Tetsugaku shigen to shite no Chūgoku shisō: Yoshida Kōhei Kyōju taikyū kinen ronshū.Kōhei Yoshida (ed.) - 2013 - Tōkyō-to Chiyoda-ku: Kenbun Shuppan.
     
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  34. Aktualnośc piękna? Gadamer wobec sztuki.Aleksander Czerkawski - 2010 - Estetyka I Krytyka 19 (2):235-238.
     
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  35. Etyczny wymiar przemilczania faktów.Leszek Jaczynowski - 2008 - Prakseologia 148 (148):137-142.
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  36. Chapter Four Divine Paradox and Harmony: Whitehead and Jung on the Love of God Young Woon Ko.Young Woon Ko - 2007 - In Thomas Jay Oord (ed.), The Many Facets of Love: Philosophical Explorations. Cambridge Scholars Press.
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  37. Ŏttŏk'e sal kŏt in'ga: sŏngjang hago ch'iyu hanŭn sam ŭl wihan kŭnwŏnjŏk chilmun.Ŭn Ko (ed.) - 2016 - Kyŏnggi-do P'aju-si: 21-segi Puksŭ.
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  38. Dramat Saint-Exupery\'ego'.Aleksander Milecki - 1968 - Człowiek I Światopogląd 1 (1):56-78.
  39. Aleksander Bobko, Non multa. Schopenhauers Philosophie des Leidens. [REVIEW]Margit Ruffing - 2006 - Schopenhauer Jahrbuch:229-232.
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  40. O granicach stosowalności zasad demokratycznych na tle dociekań Alexisa de Tocquevilla.Aleksander Surdej - 2002 - Colloquia Communia 73 (2):57-67.
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  41.  3
    Aleksander Pluskowski, ed., Ecologies of Crusading, Colonization, and Religious Conversion in the Medieval Baltic: Terra Sacra II. (Environmental Histories of the North Atlantic World 3.) Turnhout: Brepols, 2019. Paper. Pp. xviii, 243; 9 color and many black-and-white figures, many maps, and 22 tables. €100. ISBN: 978-2-5035-5133-3. Table of contents available online at http://www.brepols.net/Pages/ShowProduct.aspx?prod_id=IS-9782503551333-1. [REVIEW]Alan V. Murray - 2021 - Speculum 96 (2):547-548.
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  42.  2
    The Unique and Practical Advantages of Applying A Capability Approach to Brain Computer Interface.Andrew Ko & Nancy S. Jecker - 2022 - Philosophy and Technology 35 (4):1-22.
    Intelligent neurotechnology is an emerging field that combines neurotechnologies like brain-computer interface (BCI) with artificial intelligence. This paper introduces a capability framework to assess the responsible use of intelligent BCI systems and provide practical ethical guidance. It proposes two tests, the threshold and flourishing tests, that BCI applications must meet, and illustrates them in a series of cases. After a brief introduction (Section 1), Section 2 sets forth the capability view and the two tests. It illustrates the threshold test using (...)
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  43.  2
    Leszek Kołakowski on heresy.Piotr Żuk & Barbara Komorowska - 2020 - History of European Ideas 46 (8):1059-1077.
    ABSTRACT The following text is a large fragment of the lectures on heresy that Leszek Kołakowski gave between November 1982 and February 1983 on the Polish radio station Radio Free Europe. These lectures have never been published in English. They were only published under the title ‘Herezja’ in Poland after the author’s death in 2010 by the publishing company Znak. Kołakowski raises the universal and timeless issues of tolerance, ideological struggles, protection of doctrine by religious institutions and the changing (...)
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  44.  6
    Review: J. Barkley Rosser, Simplified Independence Proofs. Boolean Valued Models of Set Theory. [REVIEW]Aleksander Rutkowski - 1974 - Journal of Symbolic Logic 39 (2):328-329.
  45.  8
    On Law and Reason.Aleksander Peczenik - 1989 - Dordrecht, Netherland: Springer Verlag.
    'This is an outline of a coherence theory of law. Its basic ideas are: reasonable support and weighing of reasons. All the rest is commentary.’ These words at the beginning of the preface of this book perfectly indicate what On Law and Reason is about. It is a theory about the nature of the law which emphasises the role of reason in the law and which refuses to limit the role of reason to the application of deductive logic. In 1989, (...)
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  46. Heidegger a degeneracja i nieautentyczność. O przedmiocie \"dojrzałego, głębokiego rozczarowania\".Aleksander Dworek - 2006 - Fenomenologia 4:143-151.
     
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  47. Cinematosophical introduction to the theory of archaeology: understanding archaeology through cinema, philosophy, literature and some incongruous extremes.Aleksander Dzbynski - 2019 - Wilmington, Delaware: Vernon Press.
    What is archaeology? A research field dealing with monuments? A science? A branch of philosophy? Dzbyński suggests the simple but thoughtful equation: Archaeology = History = Knowledge. This book consists of 8 chapters presenting a collection of characteristic philosophical attitudes important for archaeology. It discusses the historicity of archaeological sources, the source of the algorithmic approach in archaeological reasoning, and the accuracy of logical and irrational thinking. In general, this book is concerned with the history of archaeologists' search for a (...)
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  48.  11
    The Courage to Think for Yourself: The Search for Truth and the Meaning of Human Life.Leszek Figurski - 2012 - Upa.
    This book was written with the purpose of revealing the duty of each individual to search for truth and the meaning of existence. Thinking requires determination and endurance. It is not easy. Above all, passion for truth is necessary for every honest seeker.
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  49. Filozofi czne poranki młodych.Aleksander Nalaskowski - 2003 - Colloquia Communia 75 (2):132-139.
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  50. Wielkie Zatrzymanie: co się stało z ludźmi?Aleksander Nalaskowski - 2020 - Kraków: Biały Kruk.
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