v. 1. Nicomachean ethics. Politics. The Athenian Constitution. Rhetoric. On Poetics.--v. 2. Logic.--v. 3. Physics. Metaphysics. On the soul. Short physical treaties.--v. 4. On the heavens. On generation and corruption. Meteorology. Biological treatises.

Suetonius quotes a number of extracts from Augustus' letters, with the intention of showing that Augustus did not dislike Tiberius as much as some had held, and that he had a high opinion of Tiberius' military qualities. The first of these contains a somewhat vexed textual problem. It reads as follows : Vale, iucundissime Tiberi, et feliciter rem gere, μο κα τας †μουιcαcαιcτ στρατηγν. iucundissime et ita sim felix, vir fortissime et dux νομιμτατε, vale.

The classical Feferman–Vaught Theorem for First Order Logic explains how to compute the truth value of a first order sentence in a generalized product of first order structures by reducing this computation to the computation of truth values of other first order sentences in the factors and evaluation of a monadic second order sentence in the index structure. This technique was later extended by Läuchli, Shelah and Gurevich to monadic second order logic. The technique has wide applications in decidability and (...) definability theory. Here we give a unified presentation, including some new results, of how to use the Feferman–Vaught Theorem, and some new variations thereof, algorithmically in the case of Monadic Second Order Logic MSOL . We then extend the technique to graph polynomials where the range of the summation of the monomials is definable in MSOL . Here the Feferman–Vaught Theorem for these polynomials generalizes well known splitting theorems for graph polynomials. Again, these can be used algorithmically. Finally, we discuss extensions of MSOL for which the Feferman–Vaught Theorem holds as well. (shrink)

We investigate the expressive power of second-order logic over finite structures, when two limitations are imposed. Let SAA ) be the set of second-order formulas such that the arity of the relation variables is bounded by k and the number of alternations of second-order quantification is bounded by n . We show that this imposes a proper hierarchy on second-order logic, i.e. for every k , n there are problems not definable in AA but definable in AA for some c (...) 1 , d 1 . The method to show this is to introduce the set AUTOSAT of formulas in F which satisfy themselves. We study the complexity of this set for various fragments of second-order loeic. For first-order logic FOL with unbounded alternation of quantifiers AUTOSAT is PSpace complete. For first-order logic FOL n with alternation of quantifiers bounded by n , AUTOSAT is definable in AA . AUTOSAT) is definable in AA for some c 1 , d 1. (shrink)

Music is an inescapable part of social, cultural and political life, and has played a powerful role in mobilising support for popular movements demanding social justice. The impact of David Bowie, Prince and Bob Dylan, for example, on diversity awareness and legislative reform relating to sexuality, gender and racial equality respectively is still felt; with the latter receiving a Nobel Prize in 2016 for ‘having created new poetic expressions within the great American song tradition’. The influence of these composers and (...) performers reached far beyond the concert hall. Conversely, musical propaganda has been a common feature of many dictatorships, most notably Nazism’s Adolf Hitler and Communism’s Joseph Stalin, and is still instrumental in the election campaigns of political parties. US President Donald Trump’s winning retro classic rock campaign playlist conveyed an idealised version of the past which aligned with the tastes and interests of his core constituency, and evoked feelings of nationalistic pride and patriotism. The eclectic selection of upbeat music effectively masked the underlying capitalist initiatives, corporate greed and allegations of financial impropriety that characterised both the Democrat and Republican campaigns. Although unable to impart meaning with the same level of precision as language, music has a potentially broader semantic capacity due to its greater elasticity. It constitutes a common language which has the ability to create a community of people that sings, speaks, reasons, votes and even feels the same way. Accordingly, this article explores the symbiotic relationship between music and law, identity politics and social justice, via the lens of musical semiosis. (shrink)

In the first part of this paper we indicate how Meredith's condensed detachment may be used to give a new proof of Belnap's theorem that if every axiom x of a calculus S has the two-property that every variable which occurs in x occurs exactly twice in x, then every theorem of S is a substitution instance of a theorem of S which has the two-property. In the remainder of the paper we discuss the use of mechanical theorem-provers, based either (...) on condensed detachment or on the resolution rule of J. A. Robinson, to investigate various calculi whose axioms all have the two-property. Particular attention is given to D-groupoids, i.e. sets of formulae which are closed under condensed detachment. (shrink)

AimThe neurocognitive basis of Developmental Coordination Disorder remains an issue of continued debate. This combined systematic review and meta-analysis provides a synthesis of recent experimental studies on the motor control, cognitive, and neural underpinnings of DCD.MethodsThe review included all published work conducted since September 2016 and up to April 2021. One-hundred papers with a DCD-Control comparison were included, with 1,374 effect sizes entered into a multi-level meta-analysis.ResultsThe most profound deficits were shown in: voluntary gaze control during movement; cognitive-motor integration; practice-/context-dependent (...) motor learning; internal modeling; more variable movement kinematics/kinetics; larger safety margins when locomoting, and atypical neural structure and function across sensori-motor and prefrontal regions.InterpretationTaken together, these results on DCD suggest fundamental deficits in visual-motor mapping and cognitive-motor integration, and abnormal maturation of motor networks, but also areas of pragmatic compensation for motor control deficits. Implications for current theory, future research, and evidence-based practice are discussed.Systematic Review RegistrationPROSPERO, identifier: CRD42020185444. (shrink)

When Pythodorus in 411 B.C. moved in the Athenian Assembly his decree that Commissioners should be elected to draft measures for the security of the State, Cleitophon added a rider instructing the Commissioners προσαναξητσαι κα τος πατρονς νμονς ος κλειδθνης θηκεν τε καθδτη τν δημοκραταν, πως ν κοσαντες κα τοτων βολεσωντααι τ ριστον. The instruction appears to have struck Aristotle as paradoxical and inept, for he has appended an explanation of Cleitophon's reasons which is also a criticism: ς ο δημοτικν (...) λλ παραπλησαν οσαν τν Kλεισθνους πολιτεαν τ Σλωνος. Indeed one would never imagine that the constitution of Cleisthenes as described by Aristotle could have been seriously suggested as a model or a repertory of precedents for legislators intent, like Cleitophon's friends, on restoring the πτριος πολιτεα, which it obviously disestablished; and the conjunction of τοĐς πατρουσ with τε καθστη τν δημοκραταν might seem to make the proposal a challenge or a mockery. Aristotle had already given his opinion that by Cleisthenes' innovations δημοτικωτρα πολĐ τς Σλωνος γνετο πολιτεα He recognized democratic features in Solon's laws, but they lay in the redress of social wrongs or in the method of administering justice rather than in the organization of the government; he regarded Solon's political changes, not as the establishment of democracy proper, but as a reform, conservative rather than revolutionary, of existent institutions. His comment on the rider implies that he would not have corrected Cleitophon if he had referred the Commissioners to Solon's ancestral laws, but to refer them to Cleisthenes' must, he thought, be ignorance, irony, or idiosyncrasy. (shrink)

On the Athenian disaster at Aegospotami the reaction, suppressed half a dozen years before, against the régime responsible for the war and its calamitous results sprang up again with double force. The capture of the fleet, the loss of the empire, which had been a useful buffer between the selfish interests of the wealthier citizens and the predatory appetites of the proletariate, the bankruptcy of the treasury, the discredit of the whole democratic system, the grim privations of the blockade, and (...) the imminent return of the exiles eager for power and vengeance, all portended the speedy downfall of the constitution, should the victorious enemy leave it standing. Yet the progress of the revolution was slower than might have been expected. In fact the oligarchs were at first crippled by the absence of their banished chiefs, andthroughout they had to reckon not only with a people which had long enjoyed liberty and empireand with a democratic administration already in office, but also with the middle party, disgusted indeed with the existing form of government but unwilling to substitute for it the rule ofa narrow privileged class, and led by a statesman of great ability and experience. (shrink)

Lysias, describing how the Thirty were established in the government of Athens, begins with the sentence ναστς δ θηραμνης κλευσεν ὑμς τρι$κοντα νδράσιν πιτρΨαι τν πóλιν τῇ πολιτεᾳ χρσθαι ν Δρακοντδης πφαινεν Commenting on the last clause the judicious Thirlwall observes that ‘the precise meaning of these words is very doubtful. There is almost equal difficulty, whether we suppose that they refer to a proposition then made, or to one which was to be made, by Dracontides.’ Thirlwall has not expressed (...) his meaning as precisely as Lysias; the uncertainty lies, not in the words, nor in the reference intended by Lysias, but in the mind of the historian, who is conscious that, whether he refers the proposition of Dracontides to the occasion indicated by Lysias or to another, he will encounter almost equal difficulty. The difficulty however, arising from the apparent inconsistencies in the evidence of the ancient authorities on the date of the appointment of the Thirty, is not Thirlwall's only, and after a century of discussion it still vexes every student of the period. (shrink)

The traditional text of Thucydides, II. 1, dates the surprise of Plataea by the Thebans, which began the Peloponnesian war, έπì ΠυΘοδώρου τι δύο μνας ρχοντος Αθηναίοις. It has long been recognized that the two months are too short a time, and that the facts of the history demand four. The day cannot be precisely determined, but the narrative of Thucydides fixes it near the end of a lunar month, and the choice has lain between the new moons of March (...) 8 and April 7, 431 B.C. Now that Meritt has shown that the year of Pythodorus was not intercalary and ended on July 2, the former must be accepted. Accordingly the Theban attack may be put on the night of, let us say, March 3, which by Attic reckoning would be the early hours of Anthesterion 27. (shrink)

‘Law’ said Mr Justice Windeyer of the High Court of Australia, ‘marches with science, but to the rear, and limping a little’. Nowhere is this limping more apparent than in respect of the attempts to keep up with medical science. The media is full of reports of the use of fetal ova to create new life, of the transplant of animal parts into human bodies, of tests involving the consumption of radioactive materials by human subjects. The law's response to these (...) problems has been notable most often by its absence. To some extent, the failure of the law to come to grips with developments is not entirely its own fault. Sometimes the advances made possible by science can only be forseen by those with a scientific background. At other times, however, the law fails by not being flexible enough to be able to create new categories of legal obligations. It tries instead to pigeon-hole radically new ideas within centuries-old categorisations. As anyone who has had experience with packing a large number of outsized objects into a too small suitcase will tell you, squeezing things into inappropriately shaped containers takes time. This is one of the problems apparent in the doctrine of consent; the area of law which attempts to regulate the provision of medical services by a practitioner to a patient. (shrink)