By Professor of Philosophy Dale Jacquette
This examine of Hume's philosophy of arithmetic seriously examines his objections to the concept that of infinity in its ancient context as a manufactured from Enlightenment idea of information, and assesses the customers of his strict finitism within the mild of latest arithmetic.
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Extra resources for David Hume's critique of infinity
Just as crucial, and until recently almost completely overlooked, is the evidence oﬀered by Robert’s preaching. The hundreds of sermons Robert composed make his preaching one of the most remarkable aspects of his rule, and make the king himself as much an architect of the royal image as any of his learned supporters. 26 When Robert’s documented actions are set beside the commentary that both he and his supporters produced, a much fuller picture of the details and overall direction of royal policy emerges.
Some were virtual co-architects of policy; others drafted the legal theory on which Angevin dominion rested, or composed political tracts that explained (or explained away) royal actions. Taken together, such texts indicate the dominant ideas circulating at court. Finally, these courtiers were the main authors of that royal propaganda that shaped and disseminated Robert’s royal image—an image that is crucial for apprehending their concept of ideal kingship, and that aﬀected contemporary observers’ reception as much as did the king’s actions themselves.
31 The growing importance of super- and subnational forces over the last hundred years has situated us well to overcome this blind spot. 32 Nor should the undeniable travails of the kingdom under Robert’s successor be read back onto his reign. If anything, the later misfortunes of the kingdom illustrate precisely what was signiﬁcant about Robert’s rule. In the context of the fourteenth century, in the face of destructive forces, natural and manmade, that would undo his successor, Robert implemented an approach to rulership that not only preserved his realm and gloriﬁed his memory but that in many ways appears emblematic of the age.
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