The κ-closed unbounded filter and supercpmpact cardinals

1981 ◽  
Vol 46 (1) ◽  
pp. 31-40
Author(s):  
Mitchell Spector

The consistency of the Axiom of Determinateness (AD) poses a somewhat problematic question for set theorists. On the one hand, many mathematicians have studied AD, and none has yet derived a contradiction. Moreover, the consequences of AD which have been proven form an extensive and beautiful theory. (See [5] and [6], for example.) On the other hand, many extremely weird propositions follow from AD; these results indicate that AD is not an axiom which we can justify as intuitively true, a priori or by reason of its consequences, and we thus cannot add it to our set theory (as an accepted axiom, evidently true in the cumulative hierarchy of sets). Moreover, these results place doubt on the very consistency of AD. The failure of set theorists to show AD inconsistent over as short a time period as fifteen years can only be regarded as inconclusive, although encouraging, evidence.On the contrary, there is a great deal of rather convincing evidence that the existence of various large cardinals is not only consistent but actually true in the universe of all sets. Thus it becomes of interest to see which consequences of AD can be proven consistent relative to the consistency of ZFC + the existence of some large cardinal. Earlier theorems with this motivation are those of Bull and Kleinberg [2] and Spector ([14]; see also [12], [13]).

2009 ◽  
Vol 57 (2) ◽  
pp. 137-147
Author(s):  
Marie Allard ◽  
Camille Bronsard ◽  
Gilles McDougall

ABSTRACT While the meaningful theorems of neo-classical theory of the producer are well known, the neo-keynesian counterparts are not. Therefore, this paper will present those new meaningful theorems and their relations with neo-classical theory. On the one hand, this paper is of interest to the theoretician who would want to use the properties of comparative statics of the producer with quantitative rationing. On the other hand, since a neo-keynesian structural form is presented, the econometrician will be interested in imposing the meaningful theorems of this theory as a priori restrictions.


2000 ◽  
Vol 21 (1-2) ◽  
pp. 86-103
Author(s):  
Dieter Wandschneider

AbstractThe Cartesian concept of nature, which has determined modem thinking until the present time, has become obsolete. It shall be shown that Hegel's objective-idealistic conception of nature discloses, in comparison to that of Descartes, new perspectives for the comprehension of nature and that this, in turn, results in possibilities of actualizing Hegel's philosophy of nature.If the argumentation concerning philosophy of nature is intended to catch up with the concrete Being-of-nature and to meet it in its concretion, then this is impossible for the finite spirit in a strictly a priori sense — this is the thesis supported here which is not at all close to Hegel. As the argumentation rather has to consider the conditions of realization concerning the Being-of-nature, too, it is compelled to take up empirical elements — concerning the organism, for instance, system-theoretical aspects, physical and chemical features of the nervous system, etc. With that, on the one hand, empirical-scientific premises are assumed (e.g. the lawlikeness of nature), which on the other hand become (now close to Hegel) possibly able to be founded in the frame of a Hegelian-idealistic conception. In this sense, a double strategy of empirical-scientific concretization and objective-idealistic foundation is followed up, which represents the methodical basic principle of the developed considerations.In the course of the undertaking, the main aspects of the whole Hegelian design concerning the philosophy of nature are considered — space and time, mass and motion, force and law of nature, the organism, the problem of evolution, psychic being — as well as Hegel's basic thesis concerning the philosophy of nature, that therein a tendency towards coherence and idealization manifests itself in the sense of a (categorically) gradually rising succession of nature: from the separateness of space to the ideality of sensation. In the sense of the double strategy of concretization and foundation it is shown that on the one hand possibilities of philosophical penetration concerning actual empirical-scientific results are opened, and on the other hand — in tum — a re-interpretation of Hegel's theorem on the basis of physical, evolution-theoretical and system-theoretical argumentation also becomes possible. In this mutual crossing-over and elucidation of empirical and Hegelian argumentation not only do perspectives of a new comprehension of nature become visible, but also, at the same time — as an essential consequence of this methodical principle — thoughts on the possibilities of actualizing Hegel's philosophy of nature.


2021 ◽  
Vol 2 (3) ◽  
pp. 73-79
Author(s):  
Mădălin-Ștefan PETRE ◽  

Orthodox eschatology is based, on the one hand, on the affirmation of the clear distinction between the uncreated nature of God and the created nature of His creatures, and, on the other hand, on the possibility of their union through divine Grace. Towards this eschatological union creation is called ontologically, through the divine reasons based on Reason-Christ, Who draws to Himself man and the universe, because He is at the same time Cause and Target, Alpha and Omega. The Church is working and preparing for the Feast of the Great Union, which will take place at the Second Coming of the Lord


Xihmai ◽  
2013 ◽  
Vol 5 (9) ◽  
Author(s):  
Manuel Alberto Morales Damián

2012:  IDEAS  MAYAS  ACERCA  DE  LA  RENOVACIÓN CíCLICA DEL UNIVERSO. 2012:                MAYA‟S    CIVILIZATION     IDEAS   ABOUT    THE CYCLIC RENEWAL OF THE UNIVERSE.       Resumen El pensamiento maya con respecto a la astronomí­a y el calendario poseen una gran originalidad y corresponden a una forma de entender la realidad completamente  diferente  a  la  del  pensamiento  occidental.  Los  mayas conciben que el tiempo está sujeto a recurrencias cí­clicas (dí­a-noche, año solar, perí­odos de 52 años), cada una de las cuales supone la destrucción y renovación del cosmos. Por otra parte, las supuestas profecí­as mayas acerca de un evento astronómico el próximo 21 de diciembre de 2012, en realidad no son acordes a la cosmovisión maya prehispánica, coinciden sin embargo con temores milenaristas propios del pensamiento occidental que se agudizan en una época de crisis global.   Palabras Clave: Mayas, religión, astronomí­a, profecí­as del 2012.   Abstract Mayan  thought  in  respect  to  astronomy  and  the  calendar  have  a  great originality and correspond to a way of understanding a complete different reality to the one of the western thought. Mayan people conceive that time is subject to cycle recurrences (day-night, solar year, and periods of 52 years), each one supposes destruction and renovation of cosmos. On the other hand, the supposed Mayan prophecies about an astronomical event next December 21st  2012, do not in fact agree with the view of the world of the pre Hispanic Mayans, however they coincide with millennial fear proper of the western thought that worsen in this times of global crisis.   Key words: Mayans, religion, astronomy, 2012 prophecies.      


2020 ◽  
Vol 10 (4) ◽  
pp. 728-738
Author(s):  
E. E. Nechvaloda ◽  

Introduction: the article is devoted to the analysis of the early sources on the Udmurt ancient woman headwear. The chronological framework of the study is limited, on the one hand, by the very first confirmation of the ayshon (XVI century), and on the other hand, by the era of the first expeditions in Russia (XVIII century), which laid the foundation for future ethnographic research. Objective: to determine the degree of reliability and informativity of descriptions and images of the Udmurt headwear of the XVI–XVIII centuries. Research materials: works of travelers of the XVI–XVIII centuries, containing data about ayshon. Results and novelty of the research: the article provides a comparative analysis of materials about ayshon in the sources of the XVI–XVIII centuries. Texts, engravings with texts, and early sources with ethnographic materials of the end of the XIX – beginning XX centuries are compared. For the first time, all original graphic images and descriptions of this headwear related to the specified time period are published together. The characteristics of the ayshon in the descriptions generally correspond to each other, as well as its known images and later ethnographic data. The materials of the article can be used in ethnographic and source studies.


2010 ◽  
Vol 6 ◽  
pp. 129-152
Author(s):  
Helton Adverse

This paper’s aim is to elucidate the meaning of the paradoxical expression “ontology of the present”, utilized by Foucault in his latest works. To achieve this goal, I adopted a twofold strategy: on the one hand, it was useful to recall that this was not the first time Foucault used a deranging expression. In the 1960’s, in the period he developed his “archeology of knowledge”, we can find in some of his major works the husserlian term “historical a priori”. On the other hand, I had to analyze some aspects of his interpretation of the modernity that we can find in his last articles, interviews and lessons in the Collège de France. In these occasions, Kant’s philosophy was the main theoretical influence.


Author(s):  
John Heil

Sometimes we take ourselves to be saying some-thing about what really is possible (even if not actual), what is not possible, what is inevitable, what would or would not happen were certain conditions to obtain; we take ourselves to be saying something about how matters stand modally. When this is our aim, what features of the universe are responsible for the truth or falsity of what we say? I shall offer reasons for thinking that an ontology of interrelated powers or dispositionalities provides the resources requisite for an accounting of real modalities, truth makers for important modal truths. Consideration of these reasons will, in addition, disclose surprising connections between dispositionality, on the one hand, and, on the other hand, causation and causal laws as these are commonly understood in philosophy.


Philosophy ◽  
1933 ◽  
Vol 8 (29) ◽  
pp. 14-29 ◽  
Author(s):  
F. A. Lindemann

Recent advances in physics render a reconsideration of the Place of Mathematics in the Interpretation of the Universe particularly timely. On the one hand, we have the introduction of non-euclidian geometry, which has given rise to much controversy informed or otherwise; on the other hand, we find mysterious forms of mathematics, invented to cope with the quantum difficulties, which so far have escaped metaphysical investigation or criticism. It would seem most desirable that these modes of interpreting reality should be examined from the broader philosophical point of view.


1925 ◽  
Vol 19 (2) ◽  
pp. 75-84 ◽  
Author(s):  
C. M. Gillespie

The precise position to be assigned to the Categories in the Aristotelian system has always been somewhat of a puzzle. On the one hand, they seem to be worked into the warp of its texture, as in the classification of change, and Aristotle can argue from the premiss that they constitute an exhaustive division of the kinds of Being (An. Post. I. 22, p. 83 b 15). On the other hand, both in the completed scheme of his logic and in his constructive metaphysic they retire into the background, giving place to other notions, such as causation, change, actuality and potentiality. Investigation has, moreover, been hampered, especially in Germany, by attempts to correlate them with the Kantian Categories, with which they have obvious points of contact. But Kant's formal a priori concepts by which the mind makes for itself a world, to use Mr. Bosanquet's phrase, imply an attitude to knowledge and reality so utterly opposed to the Aristotelian that the comparison has tended to confusion rather than elucidation. Scholars now realize better that the Aristotelian Categories can only be understood in connexion with the problems of Aristotle's own age.


2021 ◽  
Vol 21 (1) ◽  
pp. 55-65
Author(s):  
Maria Maślanka-Soro

“Non vide mei di me chi vide il vero”: L’art “verace” in the circle of proud as a mise en abyme of Dante’s art in the Comedy The purpose of this study is to discuss the problem of meta-poetic themes in the Divine Comedy, focusing in particular on the relationship between God’s art and Dante’s art in the context of the impression caused by the sight of the rock reliefs in the cornice of the proud in the Purgatorio, where the poet, presenting and imitating the art of God, in fact shows the mastery of his own art. The analysis leads to the conclusion that the examples of humility and pride carved on the walls and the rock path – the perfect work of God-the Artist, vibrant with life and called by Dante visibile parlare – are, on the one hand, a mise en abyme of its macroscopic version, which is the Universe created by him, and, on the other hand, a mise en abyme of the universe narrated with the simile perfection by Dante.


Sign in / Sign up

Export Citation Format

Share Document