Since its first introduction by Hans Reichenbach, many philosophers have claimed to refute the common cause principle. The situation is not so straightforward, though: validity of the principle remains an open question. The book traces different formulations of the principle, and provides proofs of a few pertinent theorems, settling the relevant questions in various probability spaces. It offers both philosophical insight and mathematical rigor.

Wychodząc od metaforycznego (figuralnego) ujęcia problemu zła, w oparciu o wybrane przemyślenia Leszka Kołakowskiego, rozważania składające się na artykuł zmierzają do namysłu nad „złem w polityce” w sensie niedomagań i nadużyć wolności: pokus władzy autokratycznej i totalitarnej. Dotyczą antropologicznego i politycznego przekraczania granic wolności kosztem (aż do zniesienia) wolności innych. Evil Politics or Trouble with the Devil. Reflections on the Political Demonology of Leszek Kołakowski Proceeding from a metaphorical (figurative) account of the problem of evil, and based on (...) class='Hi'>Leszek Kołakowski’s selected thoughts, this paper’s considerations aim to deliberate on “evil in politics” in the spirit of the shortcomings and excesses of freedom: namely, the lure of autocratic and totalitarian power. At issue is how the bounds of freedom are anthropologically and politically transgressed at the expense (to the point of abolishing) the freedom of others. (shrink)

Since its introduction by Hans Reichenbach, many philosophers have claimed to refute the idea – known as the common cause principle – that any surprising correlation between any two factors that do not directly influence one another is due to some common cause. For example, falsity of the principle is frequently inferred from falsifiability of Bell’s inequalities. The author demonstrates, however, that the situation is not so straightforward. There is more than one version of the principle formulated with the use (...) of different variants of Reichenbach-inspired notions; their falsity still remains an open question. The book traces different formulations of the principle and provides proofs of a few pertinent theorems, settling the relevant questions in various probability spaces. In exploring mathematical and philosophical issues surrounding the principle, the book offers both philosophical insight and mathematical rigor. (shrink)

We introduce the notion of a Minkowskian Branching Structure ("MBS" for short). Then we prove some results concerning the phenomenon of funny business in its finitary and infinitary variants.

We investigate how Dutch Book considerations can be conducted in the context of two classes of nonclassical probability spaces used in philosophy of physics. In particular we show that a recent proposal by B. Feintzeig to find so called “generalized probability spaces” which would not be susceptible to a Dutch Book and would not possess a classical extension is doomed to fail. Noting that the particular notion of a nonclassical probability space used by Feintzeig is not the most common employed (...) in philosophy of physics, and that his usage of the “classical” Dutch Book concept is not appropriate in “nonclassical” contexts, we then argue that if we switch to the more frequently used formalism and use the correct notion of a Dutch Book, then all probability spaces are not susceptible to a Dutch Book. We also settle a hypothesis regarding the existence of classical extensions of a class of generalized probability spaces. (shrink)

Polish philosopher Leszek Kolakowski is renowned worldwide for wrestling with serious philosophical conundrums with dazzling elegance. In this new book, he turns his characteristic wit to important themes of ordinary life, from the need for freedom to the wheel of fortune, from the nature of God to the ambiguities of betrayal. Extremely lucid and lacking in intellectual pretension, these essays speak in everyday language, spurring the reader’s own thoughts and providing a handle on which to debate and think about (...) the themes. The eighteen essays cover the following topics: power, fame, equality, lying, toleration, travel, virtue, collective responsibility, the wheel of fortune, betrayal, violence, boredom, freedom, luxury, God, respect for nature, superstition, and national stereotypes. (shrink)

We study the first-order consequences of Ramsey’s Theorem fork-colourings ofn-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 a complete axiomatization of the first-order consequences of$\mathrm {RCA}^*_0 + \mathrm {RT}^n_k$for$n \ge (...) 3$. We show that they form a non-finitely axiomatizable subtheory of$\mathrm {PA}$whose$\Pi _3$fragment coincides with$\mathrm {B} \Sigma _1 + \exp $and whose$\Pi _{\ell +3}$fragment for$\ell \ge 1$lies between$\mathrm {I} \Sigma _\ell \Rightarrow \mathrm {B} \Sigma _{\ell +1}$and$\mathrm {B} \Sigma _{\ell +1}$. We also give a complete axiomatization of the first-order consequences of$\mathrm {RCA}^*_0 + \mathrm {RT}^2_k + \neg \mathrm {I} \Sigma _1$. In general, we show that the first-order consequences of$\mathrm {RCA}^*_0 + \mathrm {RT}^2_k$form a subtheory of$\mathrm {I} \Sigma _2$whose$\Pi _3$fragment coincides with$\mathrm {B} \Sigma _1 + \exp $and whose$\Pi _4$fragment is strictly weaker than$\mathrm {B} \Sigma _2$but not contained in$\mathrm {I} \Sigma _1$.Additionally, we consider a principle$\Delta ^0_2$-$\mathrm {RT}^2_2$which is defined like$\mathrm {RT}^2_2$but with both the$2$-colourings and the solutions allowed to be$\Delta ^0_2$-sets rather than just sets. We show that the behaviour of$\Delta ^0_2$-$\mathrm {RT}^2_2$over$\mathrm {RCA}_0 + \mathrm {B}\Sigma ^0_2$is in many ways analogous to that of$\mathrm {RT}^2_2$over$\mathrm {RCA}^*_0$, and that$\mathrm {RCA}_0 + \mathrm {B} \Sigma ^0_2 + \Delta ^0_2$-$\mathrm {RT}^2_2$is$\Pi _4$- but not$\Pi _5$-conservative over$\mathrm {B} \Sigma _2$. However, the statement we use to witness failure of$\Pi _5$-conservativity is not provable in$\mathrm {RCA}_0 +\mathrm {RT}^2_2$. (shrink)

Leszek Kolakowski delves into some of the most intellectually vigorous questions of our time in this remarkable collection of essays garnished with his characteristic wit. Ten of the essays have never appeared before in English. "Exemplary.

In this paper we give a positive answer to a problem posed by Hofer-Szabó and Rédei (Int. J. Theor. Phys. 43:1819–1826, 2004) regarding the existence of infinite Reichenbachian common cause systems (RCCSs). An example of a countably infinite RCCS is presented. It is also determined that no RCCSs of greater cardinality exist.

The peculiarity of Marx's investigation method is the use of idealization, i. e. idealizing assumptions are introduced, the laws, being in force under these assumptions, are being established, and then these assumptions are being removed with the simultaneous modification of the law. This method has not been recognized in the contemporary methodology because it assumes the essentialist vision of reality while contemporary methodology developed from the phenomenalism which negates the differentiation between essence and experience.

Podjęta w artykule problematyka dotyczy słynnej figury Wielkiego Inkwizytora, z którą spotykamy się w filozoficznych rozważaniach Józefa Tischnera; oczywiście, figury wprost zaczerpniętej z kart powieści Fiodora Dostojewskiego. Nie są to zresztą jedyne nawiązania myśli Tischnera do „imaginarium filozoficznego” twórcy Braci Karamazow. Warto zatem przyjrzeć się bliżej temu, co kryje się w „cieniu”, jaki roztacza wokół siebie Wielki Inkwizytor. Rozważania, nolens volens, muszą zatem dotyczyć „darów” Wielkiego Inkwizytora: pozornego dobra i pozornej wolności. Innymi słowy: zapytamy o postać Wielkiego Inkwizytora jako – (...) niepokojącą, wciąż groźną – „centralną postać nowożytnej filozofii władzy”. I Dostojewski, i Tischner przywołują bowiem pytania, które nie dają się prostym sposobem odsunąć i gestem tym niejako unieważnić, nadal stawiają nas przed niebezpieczeństwem „iluzji” politycznej, w której stawką pozostają najwyższe wartości. (shrink)

Argues that philosophical inquiries are valuable even though they may produce no absolute values and discusses knowledge, religion, and philosophers of the past.

In diesem Aufsatz werden zwei Hauptmomente der Hartmannschen Ontologie des Realens präsentiert. Erstens betrachtet der Autor den Hartmannschen Begriff der Realität (ihre Individualität, Zeitlichkeit und Prozessualität) und ihren vierschichtigen Stufenbau. Zweitens analisiert der Verfasser die kategoriale Gesetzlichkeit der Realität: (1) Gesetze der kategorialen Geltung; (2) Gesetze der kategorialen Kohärenz; (3) Gesetze der kategorialen Schichtung und (4) Gesetze der kategorialen Dependenz. Der Autor zeigt auch die Rolle, die diese Gesetze (besonders aus dritter und vierter Gruppe) für die praktische Philosophie haben.

In recent years part of the literature on probabilistic causality concerned notions stemming from Reichenbach’s idea of explaining correlations between not directly causally related events by referring to their common causes. A few related notions have been introduced, e.g. that of a “common cause system” (Hofer-Szabó and Rédei in Int J Theor Phys 43(7/8):1819–1826, 2004) and “causal (N-)closedness” of probability spaces (Gyenis and Rédei in Found Phys 34(9):1284–1303, 2004; Hofer-Szabó and Rédei in Found Phys 36(5):745–756, 2006). In this paper we (...) introduce a new and natural notion similar to causal closedness and prove a number of theorems which can be seen as extensions of earlier results from the literature. Most notably we prove that a finite probability space is causally closed in our sense iff its measure is uniform. We also present a generalisation of this result to a class of non-classical probability spaces. (shrink)

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 (...) pigeonhole principle fails in a certain way, and then work with this failure to obtain our results. As a corollary of one of the proofs, we also show that in S21 the failure of WPHP (for Σb1 definable relations) implies that the strict version of PH does not collapse to a finite level. (shrink)

This compound paper presents the views of two Polish philosophers on the strong international pressures influencing the development of Polish philosophy in recent times. The first part, by Leszek Koczanowicz, treats the philosophical situation and problems of totalitarian Poland under the influence of Soviet Marxism, while the second part, by Adam Chmielewski, focuses on the main trends and difficulties of post‐totalitarian Poland, dominated by Western influence.

Celem artykułu jest próba rekonstrukcji rozwoju duchowego Zaratustry, głównego bohatera dzieła Nietzschego Tako rzecze Zaratustra. Ów rozwój polega na osiąganiu trzech stadiów świadomości: fazy konformistycznego wielbłąda, przepełnionego negacją lwa i finalnie dziecka afirmującego życie. Metodologia badań zastosowana w artykule opiera się na analizie, rekonstrukcji i syntezie tekstu Tako rzecze Zaratustra. Przeprowadzone badania osadzone są w kontekście tezy Heideggera o komplementarności głównych aspektów nietzscheanizmu: woli mocy i wiecznego powrotu. Zaratustra, aby przeistoczyć się w lwa, a następnie w dziecko, będzie musiał odkryć (...) i zaakceptować ową komplementarność. Głównym antagonistą proroka jest duch ciężkości, symbolizujący negację życia i destruktywną miłość bliźniego. (shrink)

Niniejszy artykuł przedstawia poglądy oryginalnego polskiego filozofa z pierwszej połowy XX stulecia – Jana Stachniuka. Wyróżniającymi elementami tej koncepcji z zakresu filozofii społecznej są jego rozważania dotyczące kultury, swoistej,,wspakultury”, historiozofii, roli mitów w społecznym bycie.

‘Elke religie is verankerd in de geschiedenis, en dat er bij de gratie van oecumenische inspanningen een eengeworden wereldreligie zal ontstaan, is hoogstwaarschijnlijk ijdele hoop. De religies zullen hun identiteit, hun specifieke, in doctrine en riten uitgekristalliseerde taal hoogstwaarschijnlijk niet kwijtraken. Toch zullen ze zonder vijandschap kunnen voortbestaan; hun onderlinge communicatie, gebaseerd op het geloof in de betekenis zoals ik die heb proberen te schetsen, kan vriendschappelijk zijn en dienen tot het uitwisselen van tekens die naar die gemeenschappelijke geloofsruimte verwijzen.’.