The Birth of String Theory by Cappelli et al. tells the story of the beginnings of string theory and of the evolutionary process it has undergone from its origins in S-matrix theory to its current status as a candidate unification theory. The book is intended for an audience of students and researchers in physics, as well as historians and philosophers of science with some background in quantum field theory.In the 50s and early 60s, theoretical particle physics focused on formulating a (...) theory to explain the strong interactions. Due to issues with the application of perturbative quantum field theory to the strong interactions, theoretical particle physicists shifted their attention to Heisenberg’s ‘S-matrix’ theory, which focused solely on observable quantities. This endeavour led in 1968 to the breakthrough of the famous ‘Veneziano amplitude’, which along with the Dolen–Horn–Schmid duality between the s- and the t-channels led to the dual resonance model . Following Ve .. (shrink)

Obiettivo del contributo è delineare l’attività editoriale di Umberto Notari, poco studiata dalla critica, analizzando alcune riviste fondate a Milano tra 1903 e 1917: il «Verde e Azzurro», «La Giovane Italia», «Gli Avvenimenti» e «Le Industrie Italiane Illustrate». Oltre a rintracciare le collaborazioni con i membri del Futurismo e del gruppo di Novecento, l’analisi di questi periodici mostra in che misura Notari si sia servito delle sue riviste per elaborare pionieristiche strategie pubblicitarie, di comunicazione di massa e di organizzazione del (...) consenso, che hanno avuto molti riflessi nella cultura visiva a lui contemporanea. (shrink)

One 1120 pages volume, with 4000 entries covering - Western philosophy: authors, schools, concepts and terminology; - religions, cultural anthropology, eastern philosophies; - Psychology and psychoanalysis; - linguistics and semiotics; - sociology and political theory.

This is the final draft of Chapter 4 of the Volume 'The Birth of String Theory' edited by A. Cappelli, E. Castellani, F. Colomo, and P. Di Vecchia, Cambridge University Press, forthcoming.

We demonstrate that the quantum-mechanical description of composite physical systems of an arbitrary number of similar fermions in all their admissible states, mixed or pure, for all finite-dimensional Hilbert spaces, is not in conflict with Leibniz's Principle of the Identity of Indiscernibles (PII). We discern the fermions by means of physically meaningful, permutation-invariant categorical relations, i.e. relations independent of the quantum-mechanical probabilities. If, indeed, probabilistic relations are permitted as well, we argue that similar bosons can also be discerned in all (...) their admissible states; but their categorical discernibility turns out to be a state-dependent matter. In all demonstrated cases of discernibility, the fermions and the bosons are discerned (i) with only minimal assumptions on the interpretation of quantum mechanics; (ii) without appealing to metaphysical notions, such as Scotusian haecceitas, Lockean substrata, Postian transcendental individuality or Adamsian primitive thisness; and (iii) without revising the general framework of classical elementary predicate logic and standard set theory, thus without revising standard mathematics. This confutes: (a) the currently dominant view that, provided (i) and (ii), the quantum-mechanical description of such composite physical systems always conflicts with PII; and (b) that if PII can be saved at all, the only way to do it is by adopting one or other of the thick metaphysical notions mentioned above. Among the most general and influential arguments for the currently dominant view are those due to Schrodinger, Margenau, Cortes, Dalla Chiara, Di Francia, Redhead, French, Teller, Butterfield, Giuntini, Mittelstaedt, Castellani, Krause and Huggett. We review them succinctly and critically as well as related arguments by van Fraassen and Massimi. (shrink)

In Dirac-Bergmann constrained dynamics, a first-class constraint typically does not _alone_ generate a gauge transformation. By direct calculation it is found that each first-class constraint in Maxwell's theory generates a change in the electric field E by an arbitrary gradient, spoiling Gauss's law. The secondary first-class constraint p^i,_i=0 still holds, but being a function of derivatives of momenta, it is not directly about E. Only a special combination of the two first-class constraints, the Anderson-Bergmann -Castellani gauge generator G, leaves (...) E unchanged. This problem is avoided if one uses a first-class constraint as the generator of a _canonical transformation_; but that partly strips the canonical coordinates of physical meaning as electromagnetic potentials and makes the electric field depend on the smearing function, bad behavior illustrating the wisdom of the Anderson-Bergmann Lagrangian orientation of interesting canonical transformations. The need to keep gauge-invariant the relation dot{q}- dH/dp= -E_i -p^i=0 supports using the primary Hamiltonian rather than the extended Hamiltonian. The results extend the Lagrangian-oriented reforms of Castellani, Sugano, Pons, Salisbury, Shepley, _etc._ by showing the inequivalence of the extended Hamiltonian to the primary Hamiltonian even for _observables_, properly construed in the sense implying empirical equivalence. Dirac and others have noticed the arbitrary velocities multiplying the primary constraints outside the canonical Hamiltonian while apparently overlooking the corresponding arbitrary coordinates multiplying the secondary constraints _inside_ the canonical Hamiltonian, and so wrongly ascribed the gauge quality to the primaries alone, not the primary-secondary team G. Hence the Dirac conjecture about secondary first-class constraints rests upon a false presupposition. The usual concept of Dirac observables should also be modified to employ the gauge generator G, not the first-class constraints separately, so that the Hamiltonian observables become equivalent to the Lagrangian ones such as the electromagnetic field F. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Giulio Castellani (1528-1586): A Sixteenth-Century Opponent of Scepticism CHARLES B. SCH1VHTT THE PROBLEMOF THE ORIGINS of scepticism in early modern philosophy has been a much debated issue. Sanches, Montaigne, Charron, and Bayle all contributed to the milieu which made it possible for the sceptical direction of thought to develop into such a potent force by the time of David Hume. The actual origins of modern scepticism, which seem (...) to go back to a slightly earlier date, lie in the confluence of several different intellectual movements during the early years of the sixteenth century: Christian anti-intellectualism, the reintroduction of the literary remains of the ancient sceptical tradition, the epistemological developments of scholastic nominalism, and certain inherent tendencies of Renaissance humanism. It is in the early decades of the sixteenth century that the seeds which later blossomed forth at the time of Hume originally took root. Hume himself merely reaped the harvest of several hundred years of sceptical preparation? Aside from certain manifestations of doubt which developed out of the epistemological theories of fourteenth-century nominalism, the origins of modern scepticism are generally held to date from the first publication of Sextus Empiricus' ancient summaries of Pyrrhonism during the decade of the 1560's. While it has previously been recognized that at least hints of scepticism were current in the fifteenth and early sixteenth centuries, the implications to be derived from this fact do not seem to have been adequately exploredT I shall not here go into these early manifestations of scepticism in a detailed way. Rather, I shall briefly touch upon a few little-known examples of the influence of ancient scepticism during the Reniassance and, then, I shall focus upon an early and practically neglected attack upon scepticism published before the first printings of Sextus Empiricus' writings. I shall discuss the circumstances of the composition of Giulio Castellani's anti-sceptical work, Adversus Marci TuIlii Ciceronis academicas questiones disi For a recent survey of early modem scepticism see Richard H. Popkin, The History o] Scepticism /tom Erasmus to Descartes (Assen: 1960). Of the large literature which connects scepticism with religious doubt during this period see especially Henri Busson, Les sources et le dgveloppement du rati~nalizme dar~ la litt~rature ]ran~aise de la Renaissance (Paris: 1957) and Don Cameron Allen, Doubt's Boundless Sea (Baltimore: 1964). The di.~cussionof this period seems to be the weakest part of Popkin's excellent book, particularly with regard to the treatment which he gives to Italian thought. See, also, his other articles, especially,"Skepticismand the Counter-Reformation in France," Archiv/fir Re/armationsgeschichte, LI (1960),58-86and "The High Road to Pyrrhonism," American Philosophical Quarterly, II (1965),18--32.In my forthcoming study, Gian]rancesco Pico (1469-1533) and His Critique o/Aristotle, I give a detailed analysis of the major representative of early sixteenthcentury scepticism. [151 16 HISTORY OF PHILOSOPHY putatio (1558), which antedates the first printing of Sextus Empiricus by four years, indicating that scepticism was already widespread enough to provoke an attack from the camp of the dogmatists. Furthermore, I shall analyze Castellani 's arguments in the context of the philosophical views of the mid-sixteenth century. Scepticism in the Early Renaissance Direct knowledge of the major ancient source of scepticism, the already mentioned writings of Sextus Empiricus, was rare throughout the Middle Ages. There are but two known extant Latin manuscripts which date before 1400. s From the fifteenth century we know of two more manuscripts, neither complete in itself, but together containing a significant portion of the extant writings of Sextus. 4 This evidence indicates that Sextus' works were not well known in translation before the first Latin editions of The Oulines o] Pyrrhonism (1562) and of Against the Mathematicians (1569). With the advent of an increased interest in and knowledge of Greek in Western Europe in the fifteenth century, we find a corresponding increase in the number of Greek manuscripts of Sextus Empiricus. Consequently, by the time of the first printings, an appreciable number of copies of his writings were available. Some were brought from the East, but a large number also are attributable to European scribes. 5 We also know that in... (shrink)

G.E. Moore, more than either Bertrand Russell or Ludwig Wittgenstein, was chiefly responsible for the rise of the analytic method in twentieth-century philosophy. This selection of his writings shows Moore at his very best. The classic essays are crucial to major philosophical debates that still resonate today. Amongst those included are: * A Defense of Common Sense * Certainty * Sense-Data * External and Internal Relations * Hume's Theory Explained * Is Existence a Predicate? * Proof of an External World (...) In addition, this collection also contains the key early papers in which Moore signals his break with idealism, and three important previously unpublished papers from his later work which illustrate his relationship with Wittgenstein. (shrink)

This is a multi-authored review of a book that is extremely rich and lengthy (43 chapters, among whose titles are: Chapter III, In the name of the Lord God, this round Earth of the Ancients becomes flat again. Or perhaps not? (In which - by way of preface - the story is told of how our great Sphere, which was measured and drawn by Egyptian Alexandria, became a Mystery, Sacrilege and dark until ten years ago); Chapter X, Strabo: ‘The Pillars? (...) Gibraltar or Cádiz! But none of us have ever really seen them’ (An impossible Interview with the great Greek historian/geographer who summarizes for us what was known by the great men who preceded him. Christ had not yet been born and the site of those famous pillars had already been lost); Chapter XII, With Herodotus in the Eldorado of silver. A voyage to Tartessos, the Andalusian Atlantis (In which it will be seen that neither the Bible nor Herodotus ever said Tartessos was Spain. But only that it was in the West and beyond the Pillars of Hercules: exactly like Sardinia...); Chapter XXVIII, The Peoples-of-the-Sea versus Ramses III or the Very First World War). The author writes on culture for the daily newspaper La Repubblica. (shrink)