Titlebook: Starry Reckoning: Reference and Analysis in Mathematics and Cosmology; Emily Rolfe Grosholz Book 2016 Springer International Publishing AG

Morphine

Analysis and Reference in the Study of Astronomical Systems, and Hamilton, while problems of reference came to the fore in the empirical work of Herschel and Rosse. The tension between reference and analysis also appears in the debates between Hubble and Zwicky, and in the work of Vera Rubin.

天空

Reference and Analysis, is yoked with more abstract discourse whose main intent is analysis. The opposition between referential discourse and analytic discourse is explained by a detailed account of Leibniz’s notion of analysis as a search for the conditions of intelligibility of things, as well as the solvability of prob

Focus-Words

急急忙忙

zonules

contrast-medium

,Fermat’s Last Theorem and the Logicians,ional extension is both too strong and two weak; the disparity and the resultant ambiguity in both the textbook and the proofs testify to the disparity between the referential discourse of arithmetic and number theory and the analytic discourse of logic. Then I examine parts of Andrew Wiles’ proof o

ANTIC

The Representation of Time in the 17th Century,he work of Galileo, Descartes and Newton, and then turn to the debate over whether time is absolute (to be defined analytically) or relative (to be defined referentially) between Newton and his mouthpiece Clarke, and Leibniz. The detailed examination of Leibniz’s treatment of time is also a re-consi

LAY

The Representation of Time from 1700 to the Present,ebates over the nature of time in recent centuries. I look at the revision of the concept of time occasioned by 19th c. Thermodynamics, and then Boltzmann’s attempt to reconcile it with Newtonian mechanics: is the arrow of time (so referentially compelling) real, or can it be explained away by an an

MEAN

Analysis and Reference in the Study of Astronomical Systems,s van Fraassen pays more attention to theoretical models that do the work of analysis, while Nancy Cartwright and Margaret Morrisson pay more attention to models where the relevant relation is not satisfaction (as between a meta-language and an object-language), but representation (as between a disc

Diskectomy

Algebraic Number Theory and the Complex Plane,and show that these truly ampliative and explanatory proofs open up the study of the rational numbers to the study of algebraic number fields, an extension of number theory that is once too strong and too weak to look like Nagelian theory reduction, which is precisely why it turns out to be so fruitful.