Julian Cole argues that mathematical domains are the products of social construction. This view has an initial appeal in that it seems to salvage much that is good about traditional platonistic realism without taking on the ontological baggage. However, it also has problems. After a brief sketch of social constructivist theories and Cole’s philosophy of mathematics, I evaluate the arguments in favor of social constructivism. I also discuss two substantial problems with the theory. I argue that unless and until social (...) constructivists can address the two concerns, we have reason to be skeptical about social constructivism in the philosophy of mathematics. (shrink)

Book reviewed in this article: Just War Tradition and the Restraint of War: A Moral and Historical Inquiry. By James Turner Johnson.

This paper is the second part of an investigation into Babylonian non-mathematical astronomical texts and the relationships between Babylonian observational and predicted astronomical data. Part I (Gray and Steele 2008) showed that the predictions found in the Almanacs and Normal Star Almanacs were almost certainly made by applying Goal-Year periods to observations recorded in the Goal-Year Texts. The paper showed that the differences in dates of records between the Goal-Year Texts and the Almanacs or Normal Star Almanacs were consistent with (...) the date corrections of a few days which, according to theoretical calculations, should be added to allow for the inexactness of Goal-Year periods. The current paper follows on from our earlier study to consider the effect of the Babylonian calendar on Goal-Year methods of prediction. Due to the fact that the Babylonian calendar year can contain either 12 or 13 months, a Goal-Year period can occasionally be month longer or shorter than usual. This suggests that there should in theory be certain points in the Metonic intercalation cycle where a predicted event occurs one Babylonian month earlier or later than the corresponding event a Goal-Year period later. By comparing dates of lunar and planetary records in the Astronomical Diaries, Goal-Year Texts, Almanacs and Normal Star Almanacs, we show that these month differences between the observational records and the predictions occur in the expected years. This lends further support to the theory that the Almanacs’ and Normal Star Almanacs’ predictions originated from records in the Goal-Year Texts, and clarifies how the Goal-Year periods were used in practice. (shrink)

Open peer commentary on the article “Circularity and the Micro-Macro-Difference” by Manfred Füllsack. Upshot: I reconstruct two core notions, “observation” and “objectivity,” in order to raise some questions regarding their interpretation and relevancy for the target article’s main thesis. The main concern with “observation” is that its scope and applicability are not clear, while the notion of “objectivity” could be in conflict with other concepts and assumptions accepted by the author.

This paper considers Cassius Dio's account of the early worship of Augustus. Its main focus is the number of cults consecrated to the worship of Rome's new undisputed leader and his father, the now deceased and deified Divus Iulius, after the triumvir, on his way back from Alexandria in 29 b.c.e., wintered in Asia Minor. In his account of how the first official worship of Augustus was organized, Dio describes how Augustus let two separate cults inaugurate: a joint cult to (...) the worship of Divus Iulius and the goddess Thea Roma—a Greek deity, which since the second century served as a personification of Roman rule or Roman power—and a personal cult to the worship of the victorious triumvir. (shrink)