The emergence of mathematical probability has something to do with dice games: all the early discussions (Cardano, Galileo, Pascal) suggest as much. Although this has long been recognized, the problem is that gambling at dice has been a popular pastime since antiquity. Why, then, did gamblers wait until the sixteenth century ce to calculate the math of dicing? Many theories have been offerred, but there may be a simple solution: early-modern gamblers played different sorts of dice games than in antiquity. (...) While ancients diced at communal risk, early-moderns diced at individualized risk. These individual wager-games, for example, the game “hazard”, incentivized solving questions like “how likely is it to roll a triple-six?”. Before the early modern period there was no gambling game to which working out mathematical probability would have brought an advantage. (shrink)

What is art's relationship to play? Those interested in this question tend to look to modern philosophy for answers, but, as this book shows, the question was already debated in antiquity by luminaries like Plato and Aristotle. Over the course of eight chapters, this book contextualizes those debates, and demonstrates their significance for theoretical problems today. Topics include the ancient child psychology at the root of the ancient Greek word for 'play', the numerous toys that have survived from antiquity, and (...) the meaning of play's conceptual opposite, the 'serious'. What emerges is a concept of play markedly different from the one we have inherited from modernity. Play is not a certain set of activities which unleashes a certain feeling of pleasure; it is rather a certain feeling of pleasure that unleashes the activities we think of as 'play'. As such, it offers a new set of theoretical challenges. (shrink)

_ Source: _Volume 61, Issue 1, pp 33 - 42 _De caelo_ 2.6 describes irregular motion differently from the discussion at _Physics_ 5.4. The desire to make the one discussion congrue with the other has strained interpretation of the _De caelo_ passage. Aristotle provides a theory of irregular motion that is tripartite and the passage ought to be interpreted in such a way as to explain this tripartite motion. _Akmē_ is not a ‘top speed’ as it is generally translated, but (...) a point in an object’s motion when _epitasis_ must become _anesis_. Although the terms _epitasis_ and _anesis_ cover ‘acceleration’ and ‘deceleration’ they cannot be reduced to them. (shrink)

In 1968 E.K. Borthwick, with a brilliant conjecture, cleared up a passage from Aristophanes’Peacethat had been considered ‘nonsense’ since antiquity. ‘Bell goldfinch’ the line seemed to be saying: a jumbled idea at best, gibberish at worst. The scholium reads ad loc.: ταῦτα δὲ πάντα ἐπίτηδες ἀδιανοήτως ἔφρασεν, ‘all this is said as deliberate nonsense’, and later scholars generally follow suit. But Borthwick showed that this was not the case: ‘even nonsense expressions in Aristophanes’, he writes, ‘are not haphazard collocations of (...) incongruous words signifying nothing’. What, then, to do with the ancient scholar who failed to understand the passage, claiming it instead to be ‘nonsense’? (shrink)

What is a toy? As objects of play, toys seem to be inextricably bound up with mimesis: a child plays ‘make believe’, for example, with a doll or toy cart. But as I will show, Plato has a very different conception of toys from the modern one which tends to conceive of play as essentially mimetic. Toys do not derive their pleasure from being mimetic objects; rather, they are essentially pleasure objects and as such only incidentally mirror the objects of (...) a ‘serious’ or ‘real’ world. (shrink)