Isaac Newton and the problem of the earth's shape

Du Châtelet on the Need for Mathematics in Physics

“…Her commentary on the Principia, in turn, incorporates substantial discussion of Clairaut's 1743 Theorie de la Figure de la Terre. On the initial reception of Newton's difficult treatment of this topic, see Greenberg (1996). 10 This fits nicely with Du Châtelet's account of the role of hypotheses as allowing us "to discover the truth" (1740, 78).…”

Logic, mathematics, physics: from a loose thread to the close link: Or what gravity is for both logic and mathematics rather than only for physics

“…31 The definition of those contributions to be "main" is more or less conventional obeying the specific consideration in the present paper. There exist many enough articles, studies or books discussing different aspects or parts of Newton's heredity, for example : Fox 2016;Kvasz 2016;Palenik 2014;Belkind 2013;Schuster 2011;Darigol 2010;McGuire 2007;Sellés 2006;Iliffe 2004;Reyes 2004;Ramati 2001;Guicciardini 1999;Lamb 1994;Bonsiepen 1993;Graneau, Graneau 1993;Neuser 1993;Snobelen 1998;Garrison 1987;Aoki 1996;Greenberg 1996;Moore 1993;Moretto 1993a;Pater 1993;Petry 1993;Sarlemijn 1993;Steinle 1993;Muraskin 1992;Meli 1991;Whitrow 1989;Hojman, Hojman 1985;Cushing 1982;Cohen 1978;Ramakrishnan 1973;Ferguson 1968;Wisdom 1941;Mordel 1927;Snow, Sugden 1924; mathematics and physics correspondingly and thus even opposed as the organization of modern cognition needs and requires. The latter two contributions, though undoubtedly both belonging to physics, also are not interpreted together, but rather independently of each other, at least until Einstein's general relativity: Indeed, his fundamental principle underlain the foundations of that theory: namely, about the exact equation of gravitational and "inertial" (i....…”