newton`s scientific method in principia

Numerical Method for Three-parameter Eigenvalue Problems using Newtons method based on Trace Theorem

Atkinson, F. V. ,1972. 'Multiparameter Eigenvalue Problems', (Matrices and compact operators) Academic Press, New York, Vol. 1 Atkinson, F. V. , 1968. 'Multiparameter spectral theory', Bull. Am. Math. Soc. , Vol. 75, pp(1-28) Baruah, A. K. , 1987. 'Estimation of eigen elements in a two-parameter eigen value problem', Ph. D Thesis, Dibrugarh University, Assam. Bindi...

Rethinking Newton’s Principia

It is widely accepted that the notion of inertial frame is central to Newtonian mechanics, and that the correct space-time structure underlying Newton’s methods in Principia is neo-Newtonian or Galilean space-time. I argue to the contrary that inertial frames are not needed in Newton’s theory of motion, and that the right space-time structure for Newton’s Principia requires the notion of parall...

Principia Metaphysica * (draft)

§6: The Theory of Meinongian Objects 31 ∗Copyright c © 1999, by Edward N. Zalta. All rights reserved. Please do not copy, reprint, circulate, or cite without permission from the author. This manuscript presents the a priori consequences of the theory of abstract objects. This theory has been developed and explained in print (Zalta [1983], [1988], [1993]) and in unpublished manuscripts (see the ...

Scientific Method in Practice

Some Reflections on Newton’s ‘Principia’

We examine the text of Principia to discover the extent to which Newton’s claims about his own contribution to it were justified. We argue that the general Scholium, written twenty six years after the first edition, substantially misrepresents the main body of the text for polemical reasons. We discuss papers of Wallis, Wren and Huygens that use the third law of motion, as stated by Newton in B...

Newtons levitation theorem and photoacoustic integral geometry

Two subjects are addressed. A series of mass distributions is explicitly presented, that generate zero gravitation …eld in an open set in E. Second, an explicit reconstruction formula in E from data of spherical means with centers in an algebraic set. For both constructions, the same geometric method is applied based on properties of a special class of polynomials. Key words oscillatory set hyp...