1. Algebraic Numbers. Early Greeks quadratic irrationals, their existence, their nature: √ 2, √ 3, √ 5, . . . appear in Theatetus (one of Plato’s Socretic dialogues) before Plato simple surds, after Plato more elaborate theory. Found in the later books of Euclid’s elements, the 10 and 12. Combinations of simple surds, such as a √ 2 + b √ 3, a and b rational. Proof of linear independence, thus f...

Sensors generate large amounts of spatiotemporal data that have to be stored and analyzed. However, spatiotemporal data still lack the equivalent of a DBMS that would allow their declarative analysis. We argue that the reason for this is that DBMSs have been built with the assumption that the stored data are the ground truth. This is not the case with sensor measurements, which are merely incom...

Response to Letter Regarding Article, “Ticagrelor in Patients With Acute Coronary Syndromes and Stroke: Interpretation of Subgroups in Clinical Trials” Drs Serebruany and DiNicolantonio are repeatedly accusing the platelet inhibition and patient outcomes (PLATO) investigators, executive committee, and sponsor for trial misconduct and deliberate misinterpretations. These are extremely serious ac...

that directs and is the cause of everything.” [1] With moments to expire before Athens would execute him, Plato’s Socrates was exploring the meaning of a few lines by another philosopher. To the last minute of Socrates’ dramatic life, Plato has him making important criticism on vital literary texts. Textual criticism is found throughout Plato’s works, making it his main philosophical methodolog...