Rafael Ferber

This paper contains a proposal for a free, nonzero-rest-mass particle’s proper spacetime, determined exclusively by the particle’s rest mass \ and numbers. The approach defines proper time as de Broglie time, which is isomorphic to a sequence of natural numbers \ that count de Broglie time units \\). The approach is based on defining the spatial coordinate as proper following the constructive definition of positive and negative integers as all possible differences of ordered pairs of natural numbers multiplied by the Compton unit \\). The spatial and temporal coordinates that form the particle’s proper spacetime are constructed as Euclidean projections of the de Broglie time. The corresponding expression in the form of an energy-momentum relation reveals the existence, aside from the rest energy term \, of an additional energy term of the same order of magnitude, which is related to large intervals of the \-particle’s proper space. The relation of the numbers-based approach to the foundations of the special theory of relativity and of quantum mechanics is discussed.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:La seconda polis: Introduzione alle Leggi di Platone by Bruno CentroneRafael FerberBruno Centrone. La seconda polis: Introduzione alle Leggi di Platone. Rome: Carocci Editore, 2021. Pp. 348. Paperback, €32.30.After the death of some of the great Italian scholars who devoted a considerable part of their lifetimes to the study of Socrates and Plato, including Gabriele Giannantoni (1932–98), Margherita Isnardi Parente (1928–2008), Giovanni Reale (1931–2014), and Mario Vegetti (1937–2018), a new generation of Italian scholars has moved to center stage. One outstanding member of this group is Bruno Centrone of the University of Pisa, who has been productive for decades, even more so in recent years. After editing, inter alia, the collected articles of Gabriele Giannantoni in Dialogo socratico e nascita della dialettica nella filosofia di Platone (Naples: Bibliopolis, 2005) and publishing numerous translations with commentary of Platonic dialogues, he has now also written an extensive introduction to Plato's Laws.The Laws is one of Plato's last dialogues. Its main speaker is an Athenian, in whose voice we may discover, at least in part, the voice of Plato. In his soul, according to a saying of Paul Friedländer (1882–1968), cohabited "Socrates and Solon" (Platone [Milan: Bompiano, 2004], 1127). On the one hand, Plato remains a loyal pupil of Socrates in the Laws, one who defends and refines the Socratic dicta that virtue is knowledge and that nobody does wrong willingly (see 731c1–5, 860d1). On the other hand, he lays out the laws for the imaginary city of Magnesia. Hence, Aristotle writes, "Most of the Laws consists, in fact of laws, and [Plato] has said little about the constitution. He wishes to make it more generally attainable by actual city-states, yet he gradually turns it back towards the Republic" (Politics 2, 1265a1–4). Surely, the Laws was also written for "actual city-states," and especially also "for the ears of the younger generation" and the "Guardians of the Laws in charge of education" (811d4–6, trans. Trevor Saunders [London: Penguin Books, 1970]). It is interesting to note in this context that the Athenian starts from an institutionalist view of the law as the "common dogma of a state [dogma poleôs koinon]" (644d3) before proceeding to his own conception of the law as "reason's distribution": "we should run our public and our private life, our homes and our cities, in obedience to what is immortal in us, and dignify this distribution of reason [tou nou dianomê] with the name of 'law' [nomos]" (713e8–714a2, trans. Trevor Saunders with modification).The Third Letter, whether or not it was written by Plato, tells us that Plato had been working with Dionysius on "preambles" (prooimia) (Ep. III, 316a3). In fact, in a passage in the Laws, we are told that the legislator ought to use two methods: persuasion and force (722b6). Force corresponds to the laws themselves and persuasion to the preambles to the laws (prooimia nomôn) (722d2). The Laws contains not only laws, but also prefaces to the laws, which are persuasive in a way that is similar to the discourses of the free physician addressed to his patients, with logoi "close to philosophizing" (tou philosophein engys chrômenon tois logois) (875d2). Notably, the word 'philosophy' (philosophia) does not appear in the Laws, which is not really a "pure" philosophical work and was not intended by its author to be so, with the exception of some passages in the tenth book, where the deus-mensura thesis is stated (716c) and which also contains proof of the priority of the soul (see 896a–d). The Laws represents Plato's descent into the cave.Centrone rightly draws our attention to the fact that Plato, who via Socrates in the famous digression in the Theaetetus recommends the flight from "here to there [enthenden ekeise]" [End Page 325] (176b8–c1), descends into the cave in the Laws, that is, addresses the details of legislation. But, as Centrone rightly observes, these are merely two sides of the same coin (321). In the Theaetetus, Plato, in the guise of the Platonic Socrates, recommends leaving the cave, while in the Laws, he returns...

What did the early Greek philosophers think about animals and their lives? How did they view plants? And, ultimately, what type of relationship did they envisage between all sorts of living beings? On these topics there is evidence of a prolonged investigation by several Presocratics. However, scholarship has paid little attention to these issues and to the surprisingly "modern" development they received in Presocratics' doctrines. This book fills this lacuna through a detailed (and largely unprecedented) analysis of the extant evidence. The volume includes also the first extensive collection of the ancient sources pertaining to living beings and life in early Greek philosophy, organized chronologically and thematically.