Viewing the World from Different Angles: Plato’s Timaeus 54E-55A

Apeiron ◽  
2013 ◽  
Vol 46 (3) ◽  
pp. 244-269
Author(s):  
Ernesto Paparazzo

Abstract The present article investigates a passage of the Timaeus in which Plato describes the construction of the pyramid. Scholars traditionally interpreted it as involving that the solid angle at the vertex of the pyramid is equal, or nearly so, to 180°, a value which they took to be that of the most obtuse of plane angles. I argue that this interpretation is not warranted, because it conflicts with both the geometrical principles which Plato in all probability knew and the context of the Timaeus. As well as recalling the definitions and properties of plane angles and solid angles in Euclid’s Elements, I offer an alternative interpretation, which in my opinion improves the comprehension of the passage, and makes it consistent with both the immediate and wider context of the Timaeus. I suggest that the passage marks a transition from plane geometry to solid geometry within Plato’s account of the universe.

2016 ◽  
Vol 16 (1) ◽  
pp. 124-141
Author(s):  
Daniele Molinini

Abstract In this paper I concentrate on Euclidean diagrams, namely on those diagrams that are licensed by the rules of Euclid’s plane geometry. I shall overview some philosophical stances that have recently been proposed in philosophy of mathematics to account for the role of such diagrams in mathematics, and more particularly in Euclid’s Elements. Furthermore, I shall provide an original analysis of the epistemic role that Euclidean diagrams may (and, indeed) have in empirical sciences, more specifically in physics. I shall claim that, although the world we live in is not Euclidean, Euclidean diagrams permit to obtain knowledge of the world through a specific mechanism of inference I shall call inheritance.


1991 ◽  
Vol 42 (1) ◽  
pp. 33-55
Author(s):  
William Michelsen

The Way from Force to Freedom in Grundtvig’s Life and WritingsBy William MichelsenAs it was shown by Kaj Thaning in Grundtvig Studies, 1981, Grundtvig, in 1825, made the discovery, new at the time, that the Christian church is older than The New Testament. He utilized the discovery to claim that the Apostolic Confession is the criterion of genuine Christianity, and the same year, in .The Rejoinder of the Church., he used it against H.N. Clausen, Professor of Theology, in an attempt to force him to lay down his office if he did not admit and apologize for his ‘scandalous teaching’. However, Grundtvig was charged instead, and, in 1826, received a sentence for libel of Clausen, and therefore resigned his office as a clergyman himself. Nonetheless, from 1832 to his death in 1872, Grundtvig became the most unswerving supporter of freedom in Danish spiritual life. The standpoint is clearly expressed in .Norse Mythology., 1832, and the same year Grundtvig was permitted to preach in the state church, from 1839 until his death as a vicar of Vartov Church. How can this change of attitude on Grundtvig’s part be explained?The assertion of the present article is that the apparently dramatic changes in Grundtvig’s attitude to freedom are consistent on a more fundamental level, partly depending on his religious development, partly on his concept of freedom which differed from the usual philosophical thinking of his time.Already before his birth, his parents had decided that Grundtvig was to become a clergyman, and in 1810, when his father demanded that he should make a personal application to the King for permission to be his father’s personal curate, he consequently felt force to submit, though it had always been his own wish to be a historian. So he saw himself as obliged through his ordination to defend genuine Christianity against any kind of Rationalist falsification - first on the basis of Luther scripturalism, and from 1825 on the basis of the Apostolic Confession. When H.N. Clausen did not lay down his office, Grundtvig had to lay down his.How then can it be explained that already in 1831 Grundtvig admitted that one must allow one’s opponent the same freedom to speak as one demands for oneself - the following year, even within the same state church. The explanation is to be found in Grundtvig’s experiences from his journeys to England, perhaps in particular from a conversation with Clara Bolton in 1830. More particularly the present article claims that his attitude rests on the assessment of John Wesley’s withdrawal from the state church, proposed by Grundtvig in his ‘Prospect of the World Chronicle’, 1817: it was not necessary because Wesley was not - like Luther – ‘excommunicated’ from the church, but only ‘excluded from the office of teaching’ - the same situation as Grundtvig felt he was in from 1826 to 1832.Grundtvig’s characteristic concept of freedom can be traced as far back as to 1814 (cf. Grundtvig Studies, 1986, pp. 8-9): Man is created with a will of his own, which may be either obedient or disobedient to the will of the Creator, and which is therefore free. Man, however, is not an independent being in the universe. Grundtvig was an opponent of the usual notion that the human personality is free by virtue of his reason.


2019 ◽  
Vol 1 (1) ◽  
pp. 142-159
Author(s):  
Silvia Carolina Martino

What work is, what means man works and why man works allow us to find some keys to understand the reality of the company as a human manifestation that is not only at the service of productivity and efficiency, but first and foremost at the service of man and therefore of his development and that of society. This communication will try to explain what the work is and what is understood by the company as a productive activity. And as a consequence of this, how work links us to the essence of the universe and of other people, leads us to give reason that man is faber, he is the only one who works (Sellés, 2006, 454) and finally he is faber because he is sapiens. Work is a purely human subject. Man –any man– improves or worsens working and, also, stops working. Thus Leonardo Polo, for example, states that "at work, man becomes ennobled or debased. Here again, the first of the subjective sense of work on its objective sense is followed. Virtue is a value superior to utility” (Polo, 2015, 216). And virtue, good and norm are the three pillars of ethics. Understand that person perfects the world with his work, that person improves himself through work, this means that he is better, more ethical; and that person is linked to other people ethically through his work is a crucial issue to understand what work means and the deep connection with person and ethics. "It is understood by work that human action through which man is perfected as man while perfecting physical reality" (Sellés, 2006, 455). Work, without denying its part of effort and fatigue, has a positive meaning because it is what makes man grow in humanity. And to work is to add to the world more perfection than he offers and to perfect himself as a man. If man is to give, add, this is because as a person overcomes. The same man is not immune to what he does but in his doing something happens to him inside. In this sense man is said to be a perfecting perfector (Polo, 1994, 14), that is, to the extent that he improves the world, he improves himself; and insofar as he improves himself, he can improve the world: the former is a prerequisite for the latter.


2020 ◽  
Author(s):  
Vasil Dinev Penchev

One can construct a mapping between Hilbert space and the class of all logics if the latter is defined as the set of all well-orderings of some relevant set (or class). That mapping can be further interpreted as a mapping of all states of all quantum systems, on the one hand, and all logics, on the other hand. The collection of all states of all quantum systems is equivalent to the world (the universe) as a whole. Thus that mapping establishes a fundamentally philosophical correspondence between the physical world and universal logic by the meditation of a special and fundamental structure, that of Hilbert space, and therefore, between quantum mechanics and logic by mathematics. Furthermore, Hilbert space can be interpreted as the free variable of "quantum information" and any point in it, as a value of the same variable as "bound" already axiom of choice.


Author(s):  
Željko Perović

Abstract: The author addresses the issue of Nicholai Velimirovich’s attitude towards fascism, responding to the criticism of Bishop Nicholai as a sympathizer of Adolph Hitler’s policy and the interpretation of Velimirovich’s thoughts that enabled such constructions. In the present article, special attention is paid to the public addresses of Nicholai Velimirovich during the period of the rise of the Nazi state, i.e. from 1935 to 1941. The main topic of this article is to deconstruct the great myth of Bishop Nicholai’s critics, which reads: Saint Bishop Nicholai is a fascist because he received a decoration from Hitler in 1934, and in 1935 he gave a lecture at Kolarac called “Nationalism of Saint Sava” where he praised Hitler as few people did during the life of the Reich leader, comparing him with Saint Sava, “whereby Hitler turned out to be bigger than Saint Sava.” This accusation comes from the critics of Bishop Nicholai from Peščanik, whose pamphlets are adopted and passed on by a part of the Serbian intelligentsia in which there are historians, linguists, political scientists, and even theologians. However, such constructions are possible only if we ignore the legacy of Bishop Nicholai and his thought. For instance, it is interesting that in the same year, namely in 1926, Hitler and Velimirovich published two completely opposite works — Hitler the second part of his Mein Kampf in which he revealed his racial theory to the world, and Nicholai a short article entitled “The Problem of Races,” in which he explained that the problem of race can not solve anthropologists, nor historians and psychologists, but only Christianity, urging Serbian youth not to make a value difference between races, but to consider whether a black earthen pot with honey or a white porcelain pot with vinegar is better. In his later works, there are much more references to the issues of racism, nationalism, chauvinism, etc., where he clearly holds moderated and balanced Christian worldview.


2020 ◽  
pp. 26-32
Author(s):  
M. I. Kalinin ◽  
L. K. Isaev ◽  
F. V. Bulygin

The situation that has developed in the International System of Units (SI) as a result of adopting the recommendation of the International Committee of Weights and Measures (CIPM) in 1980, which proposed to consider plane and solid angles as dimensionless derived quantities, is analyzed. It is shown that the basis for such a solution was a misunderstanding of the mathematical formula relating the arc length of a circle with its radius and corresponding central angle, as well as of the expansions of trigonometric functions in series. From the analysis presented in the article, it follows that a plane angle does not depend on any of the SI quantities and should be assigned to the base quantities, and its unit, the radian, should be added to the base SI units. A solid angle, in this case, turns out to be a derived quantity of a plane angle. Its unit, the steradian, is a coherent derived unit equal to the square radian.


2018 ◽  
Vol 8 (1) ◽  
pp. 49-66
Author(s):  
Monika Szuba

The essay discusses selected poems from Thomas Hardy's vast body of poetry, focusing on representations of the self and the world. Employing Maurice Merleau-Ponty's concepts such as the body-subject, wild being, flesh, and reversibility, the essay offers an analysis of Hardy's poems in the light of phenomenological philosophy. It argues that far from demonstrating ‘cosmic indifference’, Hardy's poetry offers a sympathetic vision of interrelations governing the universe. The attunement with voices of the Earth foregrounded in the poems enables the self's entanglement in the flesh of the world, a chiasmatic intertwining of beings inserted between the leaves of the world. The relation of the self with the world is established through the act of perception, mainly visual and aural, when the body becomes intertwined with the world, thus resulting in a powerful welding. Such moments of vision are brief and elusive, which enhances a sense of transitoriness, and, yet, they are also timeless as the self becomes immersed in the experience. As time is a recurrent theme in Hardy's poetry, this essay discusses it in the context of dwelling, the provisionality of which is demonstrated in the prevalent sense of temporality, marked by seasons and birdsong, which underline the rhythms of the world.


2017 ◽  
Vol 9 (3) ◽  
pp. 17-30
Author(s):  
Kelly James Clark

In Branden Thornhill-Miller and Peter Millican’s challenging and provocative essay, we hear a considerably longer, more scholarly and less melodic rendition of John Lennon’s catchy tune—without religion, or at least without first-order supernaturalisms (the kinds of religion we find in the world), there’d be significantly less intra-group violence. First-order supernaturalist beliefs, as defined by Thornhill-Miller and Peter Millican (hereafter M&M), are “beliefs that claim unique authority for some particular religious tradition in preference to all others” (3). According to M&M, first-order supernaturalist beliefs are exclusivist, dogmatic, empirically unsupported, and irrational. Moreover, again according to M&M, we have perfectly natural explanations of the causes that underlie such beliefs (they seem to conceive of such natural explanations as debunking explanations). They then make a case for second-order supernaturalism, “which maintains that the universe in general, and the religious sensitivities of humanity in particular, have been formed by supernatural powers working through natural processes” (3). Second-order supernaturalism is a kind of theism, more closely akin to deism than, say, Christianity or Buddhism. It is, as such, universal (according to contemporary psychology of religion), empirically supported (according to philosophy in the form of the Fine-Tuning Argument), and beneficial (and so justified pragmatically). With respect to its pragmatic value, second-order supernaturalism, according to M&M, gets the good(s) of religion (cooperation, trust, etc) without its bad(s) (conflict and violence). Second-order supernaturalism is thus rational (and possibly true) and inconducive to violence. In this paper, I will examine just one small but important part of M&M’s argument: the claim that (first-order) religion is a primary motivator of violence and that its elimination would eliminate or curtail a great deal of violence in the world. Imagine, they say, no religion, too.Janusz Salamon offers a friendly extension or clarification of M&M’s second-order theism, one that I think, with emendations, has promise. He argues that the core of first-order religions, the belief that Ultimate Reality is the Ultimate Good (agatheism), is rational (agreeing that their particular claims are not) and, if widely conceded and endorsed by adherents of first-order religions, would reduce conflict in the world.While I favor the virtue of intellectual humility endorsed in both papers, I will argue contra M&M that (a) belief in first-order religion is not a primary motivator of conflict and violence (and so eliminating first-order religion won’t reduce violence). Second, partly contra Salamon, who I think is half right (but not half wrong), I will argue that (b) the religious resources for compassion can and should come from within both the particular (often exclusivist) and the universal (agatheistic) aspects of religious beliefs. Finally, I will argue that (c) both are guilty, as I am, of the philosopher’s obsession with belief. 


2020 ◽  
Vol 6 (3) ◽  
pp. 40-50
Author(s):  
Mukhammadjon Holbekov ◽  

The great Uzbek poet Alisher Navoi(1441-1501), during his lifetime, was widely known not only in his homeland, but also far beyond its borders. A contemporary and biographer of Navoi, the famous historian Hondemir, of course, not without some hyperbole, wrote: "He (Navoi -M.Kh.) in a short time took the cane of primacy from his peers; the fame of his talents spread to all ends of the world, and the stories of the firmness of his noble mind from mouth to mouth were innumerable.The pearls of his poetry adorned the leaves of the Book of Fates, the precious stones of his poetry filled the shells of the universe with pearls of beauty


2020 ◽  
Vol 3 (1) ◽  
pp. 156-160
Author(s):  
Khurshida Salimovna Safarova ◽  
Shakhnoza Islomovna Vosiyeva

Every great fiction book is a book that portrays the uniqueness of the universe and man, the difficulty of breaking that bond, or the weakening of its bond and the increase in human. The creation of such a book is beyond the reach of all creators, and not all works can illuminate the cultural, spiritual and moral status of any nation in the world by unraveling the underlying foundations of humanity. With the birth of Hoja Ahmad Yassawi's “Devoni Hikmat”, the Turkic nations were recognized as a nation with its own book of teaching, literally, the encyclopedia of enlightenment, truth and spirituality.


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