We reimplement the creature forcing construction used by Fischer et al. :1045–1103, 2017. https://doi.org/10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.

Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals’ uniformity numbers can be pairwise different. In addition we show that, in the same forcing extension, for two other types of simple cardinal characteristics parametrised by reals, for uncountably many parameters the corresponding cardinals are pairwise different.

We continue investigating variants of the splitting and reaping numbers introduced in [4]. In particular, answering a question raised there, we prove the consistency of and of. Moreover, we discuss their natural generalisations $\mathfrak {s}_{\rho }$ and $\mathfrak {r}_{\rho }$ for $\rho \in (0,1)$, and show that $\mathfrak {r}_{\rho }$ does not depend on $\rho $.

In The Promise of Modern Life Professor D. W. Gotshalk calls our attention to the sickness of modern society--its crises, panic, tensions and fears--and asks, "How did we get this way and what are the prospects of moving out?" He recognizes a disease, offers a diagnosis, and suggests a cure. The causes of our distressing condition lie, in part, in the past, that is, in the assumptions made by previous periods of society. In modern life we can distinguish three periods (...) each with a predominant value, namely, individuality, creativity, and interrelatedness. "We live today in an interrelational world, and the clue to maximum human good lies in developing the value possibilities of the interrelational principle." Individuality characterizes roughly the period of revolutionary changes following the medieval world to the late 18th century; creativity from the late 18th century to recent decades. Both individuality and creativity were heretical in the medieval value scheme, the first leading to pride, and the second to rebellion against established truth. Individuality is rather loosely defined as self-assertion and the striving for self-completeness; creativity seems to mean a kind of activity having a direction or aim, a striving for productive novelty. (shrink)

This seems to me to be the proper attitude to take toward philosophical proposals about the way things are; they are "likely stories" or "likely accounts," although it is true some speculative philosophers, for example, Spinoza and Hegel, did not think of their systems in such a modest way. Now naturalism strives to be a systematic philosophy, an account of the way things are. Its expression as a philosophy is often loose, although frequent attempts are made to give it internal (...) consistency. One of the loosest and untidiest presentations of a naturalistic philosophy is found in Hans Christian Sandbeck's book, Nature and Destiny. And in another work by William R. Dennes, Some Dilemmas of Naturalism, we see an effort to examine some of the internal difficulties of the system. I intend to examine both in detail; in addition, I will offer some brief comments on Francis Haber's book, The Age of the World, which gives part of the history of naturalism. (shrink)

At the beginning of the twentieth century, philosophy in America and England began to respond to the rumors of unrest and dissatisfaction which were under way at the close of the nineteenth century. Many contemporary thinkers, who have had occasion to look backward, have remarked on the dominance of idealism at the turn of the period. Montague says it was “rampant” and points to the organization of the St. Louis school by W. T. Harris, the purpose being a study of (...) Hegelian thought. Lovejoy also remembers the total sweep of idealistic thought. “The metaphysics of the philosophical teachers whose influence was dominant in most of the American universities thirty-five years ago had one common and fundamental premise which was supposed to be established beyond the possibility of reasonable doubt; to question it was simply to betray one's want of a genuine initiation into philosophy. It was the proposition that, in Bradley's words, 'to be real, or even barely to exist, is to fall within sentience; sentient experience, in short, is reality, and what is not this is not real. There is no being or fact outside of that which is commonly called psychical existence.' As my first teacher in philosophy, George Holmes Howison, said, in summing up a memorable philosophical symposium in 1895: 'We are all agreed' in one 'great tenet;' which is 'the entire foundation of philosophy itself: the explanation of the world which maintains that the only thing absolutely real is mind; that all material and all temporal existences take their being from Consciousness that thinks and experiences; that out of consciousness they all issue, to the consciousness they are presented, and that presence to consciousness constitutes their entire reality.' With almost a whole generation of acute and powerful minds this passed for a virtual axiom.”. (shrink)

Given a countable model of set theory, we study the structure of its generic multiverse, the collection of its forcing extensions and ground models, ordered by inclusion. Mostowski showed that any finite poset embeds into the generic multiverse while preserving the nonexistence of upper bounds. We obtain several improvements of his result, using what we call the blockchain construction to build generic objects with varying degrees of mutual genericity. The method accommodates certain infinite posets, and we can realize these embeddings (...) via a wide variety of forcing notions, while providing control over lower bounds as well. We also give a generalization to class forcing in the context of second-order set theory, and exhibit some further structure in the generic multiverse, such as the existence of exact pairs. (shrink)

In a recent issue of the Journal of Medical Ethics, Svoboda and Van Howe commented on the 2012 change in the American Academy of Pediatrics policy on newborn male circumcision, in which the AAP stated that benefits of the procedure outweigh the risks. Svoboda and Van Howe disagree with the AAP conclusions. We show here that their arguments against male circumcision are based on a poor understanding of epidemiology, erroneous interpretation of the evidence, selective citation of the literature, statistical manipulation (...) of data, and circular reasoning. In reality, the scientific evidence indicates that male circumcision, especially when performed in the newborn period, is an ethically and medically sound low-risk preventive health procedure conferring a lifetime of benefits to health and well-being. Policies in support of parent-approved elective newborn circumcision should be embraced by the medical, scientific and wider communities. (shrink)

We critically evaluate arguments in a recent Journal of Law, Medicine & Ethics article by Svoboda, Adler, and Van Howe disputing the 2012 affirmative infant male circumcision policy recommendations of the American Academy of Pediatrics. We provide detailed evidence in explaining why the extensive claims by these opponents are not supported by the current strong scientific evidence. We furthermore show why their legal and ethical arguments are contradicted by a reasonable interpretation of current U.S. and international law and ethics. After (...) all considerations are taken into account it would be logical to conclude that failure to recommend male circumcision early in infancy may be viewed as akin to failure to recommend childhood vaccination to parents. In each case, parental consent is required and the intervention is not compulsory. Our evaluation leads us to dismiss the arguments by Svoboda et al. Instead, based on the evidence, infant male circumcision is both ethical and lawful. (shrink)

The main purpose of this dissertation is to apply and develop new forcing techniques to obtain models where several cardinal characteristics are pairwise different as well as force many (even more, continuum many) different values of cardinal characteristics that are parametrized by reals. In particular, we look at cardinal characteristics associated with strong measure zero, Yorioka ideals, and localization and anti-localization cardinals.In this thesis we introduce the property “F-linked” of subsets of posets for a given free filter F on the (...) natural numbers, and define the properties “ $\mu $ -F-linked” and “ $\theta $ -F-Knaster” for posets in a natural way. We show that $\theta $ -F-Knaster posets preserve strong types of unbounded families and of maximal almost disjoint families. These kinds of posets led to the development of a general technique to construct $\theta $ - $\textrm {Fr}$ -Knaster posets (where $\textrm {Fr}$ is the Frechet ideal) via matrix iterations of ${<}\theta $ -ultrafilter-linked posets (restricted to some level of the matrix). The latter technique allows proving consistency results about Cichoń’s diagram (without using large cardinals) and to prove the consistency of the fact that, for each Yorioka ideal, the four cardinal characteristics associated with it are pairwise different. Another important application is to show that three strongly compact cardinals are enough to force that Cichoń’s diagram can be separated into 10 different values. Later on, it was shown by Goldstern, Kellner, Mejía, and Shelah that no large cardinals are needed for Cichoń’s maximum (J. Eur. Math. Soc. 24 (2022), no. 11, p. 3951–3967).On the other hand, we deal with certain types of tree forcings including Sacks forcing, and show that these increase the covering of the strong measure zero ideal $\mathcal {SN}$. As a consequence, in Sacks model, such covering number is equal to the size of the continuum, which indicates that this covering number is consistently larger than any other classical cardinal characteristics of the continuum. Even more, Sacks forcing can be used to force that $\operatorname {\mathrm{non}}(\mathcal {SN})<\operatorname {\mathrm{cov}}(\mathcal {SN})<\operatorname {\mathrm{cof}}(\mathcal {SN})$, which is the first consistency result where more than two cardinal characteristics associated with $\mathcal {SN}$ are pairwise different. To obtain another result in this direction, we provide bounds for $\operatorname {\mathrm{cof}}(\mathcal {SN})$, which generalizes Yorioka’s characterization of $\mathcal {SN}$ (J. Symbolic Logic 67.4 (2002), p. 1373–1384). As a consequence, we get the consistency of $\operatorname {\mathrm{add}}(\mathcal {SN})=\operatorname {\mathrm{cov}}(\mathcal {SN})<\operatorname {\mathrm{non}}(\mathcal {SN})<\operatorname {\mathrm{cof}}(\mathcal {SN})$ with ZFC (via a matrix iteration forcing construction).We conclude this thesis by combining creature forcing approaches by Kellner and Shelah (Arch. Math. Logic 51.1–2 (2012), p. 49–70) and by Fischer, Goldstern, Kellner, and Shelah (Arch. Math. Logic 56.7–8 (2017), p. 1045–1103) to show that, under CH, there is a proper $\omega ^\omega $ -bounding poset with $\aleph _2$ -cc that forces continuum many pairwise different cardinal characteristics, parametrized by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localization and anti-localization cardinals, respectively. This answers several open questions from Klausner and Mejía (Arch. Math. Logic 61 (2022), pp. 653–683).Abstract prepared by Miguel Antonio Cardona-MontoyaE-mail: [email protected]: https://repositum.tuwien.at/handle/20.500.12708/19629. (shrink)

Salve Spinoza! Von S. Hessing.--Lasset uns gutmachen das Unrecht, von D. Ben Gurion.--Spinoza und die Ewigkeit der Seele, von I. Brucar.--Das Lamm Benedikt Spinoza, von C. Brunner.--Fünf Szenen aus dem Leben Spinozas, von F. Droop.-Die Gestalt, von S. Dubnow.--Der gotische Jude, von C. Gebhardt.--Die Bedeutung der Affectenlehre Spinozas, von V. Gherasim.--Der Lebensphilosoph Spinoza, von M. Grunwald.--Über das vermeintlich Unmoralische von Spinozas politischer Theorie, von H. F. Hallett.--Die Glückseligkeit des freien Menschen, von S. Hessing.--Der Missverstandene, von J. Klatzkin.--Der jüdische Charakter der (...) Lehre Spinozas, von J. Klausner.--Ein Bekenntnis, von M. Marcianu.--Spinoza und das Ideal des Menschen, von I. Myslicki.--Spinozaverehrung eines Nichtspinozisten, von I. Niemirower.--Eine Spinozahuldigung, von I. Petrovici.--Der Lichtstrahl Spinozas, von R. Rolland.--Spinozas Bibelkritik und Gottesbegriff, von K. Sass.--Vom grundlegenden Dualismus in Spinozas System, von C. Siegel.--Der Jude Spinoza, von N. Sokolow.--Der Schriftsteller Spinoza, von A. Zweig.--Äusserungen von: A. Einstein, S. Freud und J. Wasserman. (shrink)

Einleitung.--Hessing, S. Salve Spinoza!--Brucar, J. Spinoza und die ewigkeit der seele.--Buber, M. Spinoza und die chassidische botschaft.--Droop, F. Fünf szenen aus dem leben Spinozas.--Dubnow, S. Die gestalt.--Gebhardt, C. Der gotische Jude.--Gherasim, V. Die bedeutung der affektenlehre Spinozas.--Grunwald, M. Der lebensphilosoph Spinoza.--Hessing, S. Die glückseligkeit des freien menschen.--Klatzkin, J. Der missverstandene.--Klausner, J. Der jüdische charakter der lehre Spinozas.--Marcianu, M. Einbekenntnis.--Myslicki, I. Spinoza und das Ideal des Menschen.--Niemirower, I. Spinozaverehrung eines nichtspinozisten.--Petrovici, I. Eine Spinozahuldigung.--Rolland, R. Der lichtstrahl Spinozas.--Sass, K. Spinozas Bibelkritik (...) und Gottesbegriff.--Siegel, C. Vom grunlegenden dualismus in Spinozas system.--Sokolow, N. Der Jude Spinoza.--Zweig, A. Der schriftsteller Spinoza.--Äusserungen von: Alfred Einstein, Sigmund Freud und Jakob Wassermann. (shrink)

La vida y la obra de Maimónides; introducción por León Dujovne. -- El imperio de la razón, por Ajad Haam (Ascher Guinzberg) -- Maimon y Maimónides; influjo de Maimónides en la filosofia alemana post-kantiana, por Hugo Bergmann. -- Caracteres de la ética de Maimónides, por Hermann Cohen. -- Doctrina de Maimónides sobre la profecía, por Z. Diesendruck. -- La revelación y la razón en la obra de Maimónides; su crítica de los Molecallemín, por Alfredo Franceschi. -- Maimónides y el espíritu (...) judío, por Alberto Gerchunoff. -- Actualidad de Maimónides, por Jacob Gordin. -- La obra fundamental de Maimónides, por Joseph Klausner. -- Maimónides, médico, por Elías Singer. -- Homenaje a Rambam, por Julien Weill. -- Maimónides en el pueblo, por Hilel Zeitlin. -- Selección de la obra de Maimónides (p. [311]-431). (shrink)