## 7 Citations

### A Non-Continuum of the Infinitesimal Superposition

- Mathematics
- 2020

It is difficult for us to discriminate the sizes of space and time as finite and infinite. In this article an axiom is defined in which one infinitely small and infinitely great must exist if the…

### A geometry consisting of singularities containing only integers

- MathematicsComputer and Information Science
- 2021

It is difficult for us to discriminate the sizes of space and time as finite and infinite. In this article an axiom is defined in which one infinitely small and infinitely great must exist if the…

### Methods of Representation as Inferential Devices

- PhilosophyJournal for General Philosophy of Science
- 2019

In this article I am going to reconstruct Stephen Toulmin’s procedural theory of concepts and explanations in order to develop two overlooked ideas from his philosophy of science: methods of…

### D’Alembert’s Dynamic Conceptions

- Psychology
- 2018

D’Alembert published his Traite de Dynamique in 1743, when he was 26 years old. It was here where he expounded his ideas about dynamics, including what is known as his “general principle”. This is…

### Von der Metaphysik als Wissenschaft zur Bewegungslehre

- 2016

In diesem Kapitel steht die physikalische Anwendungsrelevanz des architektonischen Programms zur Diskussion, welches Emilie du Châtelet in ihren Institutions physiques entwickelt hat. Die Idee ist…

## References

SHOWING 1-10 OF 40 REFERENCES

### Force and Geometry in Newton's "Principia"

- Physics
- 1995

This text introduces one to the reading of Newton's "Principia" in its own terms. The path of access that De Gandt proposes leads through the study of geometrization of force, resulting in a…

### Motive force and centripetal force in Newton’s mechanics

- Physics, Education
- 1991

Newton’s concept of force was developed over a period of time, starting with a collisional model in his Waste Book, and culminating in his measure of the centripetal force at a point found in De Motu…

### Fluxions, Limits, and Infinite Littlenesse. A Study of Newton's Presentation of the Calculus

- GeologyIsis
- 1973

THE WORK OF ISAAC NEWTON has received a great deal of attention from historians of mathematics. Why then should there be any need for another paper on Newton's calculus? My aim is not to rehearse the…

### Polygons and Parabolas: Some Problems Concerning the Dynamics of Planetary Orbits*

- Physics, Geology
- 1988

The author claims, that in proposition 6 (Principia, 1687) from which Newton developed his theory of planetary orbits, he used the first-order infinitesimal arc representation of the orbit. Leibniz…

### The Importance of Being Equivalent: Newton’s Two Models of One-Body Motion

- Mathematics
- 2004

Abstract.As an undergraduate at Cambridge, Newton entered into his ‘Waste Book’ an assumption that we have named the Equivalence Assumption (The Younger): ‘‘ If a body move progressively in some…

### Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

- Philosophy
- 1996

Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period with a sophisticated picture of the subtle dependencies between technical development and philosophical reflection.

### The mathematical papers of Isaac Newton

- Linguistics
- 1967

This is a complete edition in eight volumes of all the known mathematical papers of Isaac Newton - edited, annotated and translated by D. T. Whiteside. Papers originally in Latin are provided with…

### The metaphysics of the calculus: A foundational debate in the Paris Academy of Sciences, 1700–1706

- Physics
- 1989

### Unpublished Scientific Papers of Isaac Newton: A selection from the Portsmouth Collection in the University Library, Cambridge

- Physics
- 1964

Foreword List of plates Preface A note on the History of Newton's Manuscripts Newton manuscripts in the Cambridge University Library printed in this volume Abbreviations Part I. Mathematics Part II.…