1. Humanity, created by God in all its grandeur, is today facing a pivotal choice: either to construct a new Tower of Babel or to build the city in which God and humanity dwell together. Each generation inherits the task of shaping its own era, of guiding history to become a place where the dignity of every person is safeguarded, justice is promoted and fraternity is made possible. Yet every era also runs the risk of creating an inhumane and more unjust world. Whenever humanity is in danger of marring its true identity, we Christians lift our eyes to the Incarnate God, knowing that it is “only in the mystery of the Word made flesh that the mystery of humanity truly becomes clear.” In Jesus Christ, this humanity in its grandeur becomes the Way, the Truth and the Life, opening the path for each of us to grow toward fullness.

1. Founded on Christ, the living stone, we experience the powerful and mysterious action of the Holy Spirit, and we believe that every authentic human effort to cooperate with him for the good will be blessed by our heavenly Father, in whom we place our hope. For this reason, we can diligently contribute to every initiative that builds a more just world, and we can call others to collaborate in promoting the integral development of every human being. We wish to engage in dialogue with all men and women of our time, with whom we share in the events, questions and aspirations of humanity. Together with them, we seek to identify new paths for the common good and for promoting a dignified life for all. Indeed, openness to dialogue is an integral part of the Church’s vocation because, constituted in Christ as “a sacrament… of communion with God and of the unity of the entire human race,” she recognizes history as the place where the Gospel challenges and directs human experience.

1. In this spirit, Pope Leo XIII published his Encyclical Rerum Novarum in 1891, the 135 th anniversary of which we celebrate with deep gratitude this year. With that document, my beloved predecessor gave impetus to the reflection on society, the economy and politics, which is now known as the “Social Doctrine of the Church.” When some objected that the Church should not waste energy on worldly matters, but instead focus on communicating the message of eternal life, Leo XIII responded with realism and wisdom, saying that the proclamation of the Gospel cannot overlook the concrete lives of people. Many decades have passed since then, and the Magisterium, pastors, theologians and faithful have continued to reflect on social issues in the light of the Gospel. Today, the Social Doctrine of the Church is a legacy of wisdom, where we find principles for thought, criteria for discernment and judgment, and concrete guidelines for action. Founded on Sacred Scripture and Tradition, and in engagement with the sciences, it helps us clearly interpret the challenges of the present and identify appropriate ways for living out a clear Christian witness, with joy and in service to the world. It is not an inert set of concepts, but a living corpus of truth that safeguards and interprets humanity’s vocation to a full and just life. I therefore wish to add my own voice to this living tradition, invoking the help of the Spirit of wisdom, who has dwelt in the world since its beginning (cf. Prov 8:22-31).

https://www.vatican.va/content/leo-xiv/en/encyclicals/documents/20260515-magnifica-humanitas.html

Pythagoras, one of the most famous and controversial ancient Greek philosophers, lived from ca. 570 to ca. 490 BCE. He spent his early years on the island of Samos, off the coast of modern Turkey. At the age of forty, however, he emigrated to the city of Croton in southern Italy and most of his philosophical activity occurred there. Pythagoras wrote nothing, nor were there any detailed accounts of his thought written by contemporaries. By the first centuries BCE, moreover, it became fashionable to present Pythagoras in a largely unhistorical fashion as a semi-divine figure, who originated all that was true in the Greek philosophical tradition, including many of Plato’s and Aristotle’s mature ideas. A number of treatises were forged in the name of Pythagoras and other Pythagoreans in order to support this view. See the entry on Pythagoreanism.

The Pythagorean question, then, is how to get behind this false glorification of Pythagoras in order to determine what the historical Pythagoras actually thought and did. In order to obtain an accurate appreciation of Pythagoras’ achievement, it is important to rely on the earliest evidence before the distortions of the later tradition arose. The popular modern image of Pythagoras is that of a master mathematician and scientist. The early evidence shows, however, that, while Pythagoras was famous in his own day and even 150 years later in the time of Plato and Aristotle, it was not mathematics or science upon which his fame rested. Pythagoras was famous (1) as an expert on the fate of the soul after death, who thought that the soul was immortal and went through a series of reincarnations; (2) as an expert on religious ritual; (3) as a wonder-worker who had a thigh of gold and who could be two places at the same time; (4) as the founder of a strict way of life that emphasized dietary restrictions, religious ritual and rigorous self discipline.

It remains controversial whether he also engaged in the rational cosmology that is typical of the Presocratic philosopher/scientists and whether he was in any sense a mathematician. The early evidence suggests, however, that Pythagoras presented a cosmos that was structured according to moral principles and significant numerical relationships and may have been akin to conceptions of the cosmos found in Platonic myths, such as those at the end of the Phaedo and Republic. In such a cosmos, the planets were seen as instruments of divine vengeance (“the hounds of Persephone”), the sun and moon are the isles of the blessed where we may go, if we live a good life, while thunder functioned to frighten the souls being punished in Tartarus. The heavenly bodies also appear to have moved in accordance with the mathematical ratios that govern the concordant musical intervals in order to produce a music of the heavens, which in the later tradition developed into “the harmony of the spheres.” It is doubtful that Pythagoras himself thought in terms of spheres, and the mathematics of the movements of the heavens was not worked out in detail. There is evidence that he valued relationships between numbers such as those embodied in the so-called Pythagorean theorem, though it is not likely that he proved the theorem. In recent scholarship this consensus view has received strong challenges, which will be discussed below.

Pythagoras’ cosmos was developed in a more scientific and mathematical direction by his successors in the Pythagorean tradition, Philolaus and Archytas. Pythagoras succeeded in promulgating a new more optimistic view of the fate of the soul after death and in founding a way of life that was attractive for its rigor and discipline and that drew to him numerous devoted followers.

https://plato.stanford.edu/entries/pythagoras/

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>>24691786

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