Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Titre(s) : Infinity in early modern philosophy [Texte imprimé] / Ohad Nachtomy, Reed Winegar, editors
Publication : Cham : Springer, copyright 2018
Description matérielle : 1 vol. (IX-211 p.) ; 24 cm
Collection : New synthese historical library ; 76
Lien à la collection : The new synthese historical library
Note(s) : Notes bibliogr. Index
This volume contains essays that examine infinity in early modern philosophy. The
essays not only consider the ways that key figures viewed the concept. They also detail
how these different beliefs about infinity influenced major philosophical systems
throughout the era. These domains include mathematics, metaphysics, epistemology,
ethics, science, and theology.Coverage begins with an introduction that outlines the
overall importance of infinity to early modern philosophy. It then moves from a general
background of infinity (before early modern thought) up through Kant. Readers will
learn about the place of infinity in the writings of key early modern thinkers. The
contributors profile the work of Descartes, Spinoza, Leibniz, and Kant. Debates over
infinity significantly influenced philosophical discussion regarding the human condition
and the extent and limits of human knowledge. Questions about the infinity of space,
for instance, helped lead to the introduction of a heliocentric solar system as well
as the discovery of calculus. This volume offers readers an insightful look into all
this and more. It provides a broad perspective that will help advance the present
state of knowledge on this important but often overlooked topic
Autre(s) auteur(s) : Nachtomy, Ohad. Éditeur scientifique
Winegar, Reed. Éditeur scientifique
Sujet(s) : Infini -- 1500-1800
Identifiants, prix et caractéristiques : ISBN 9783319945569. - ISBN 3319945564 (eBook). - ISBN 9783319945552. - ISBN 3319945556
(rel.)
Identifiant de la notice : ark:/12148/cb45621717h
Notice n° :
FRBNF45621717
(notice reprise d'un réservoir extérieur)
Table des matières : Intro; Acknowledgments; Contents; Contributors; Chapter 1: Introduction: Infinity
in Early Modern Philosophy; References; Chapter 2: Descartes's ens summe perfectum
et infinitum and its Scholastic Background; 2.1 Introduction; 2.2 The Scholastic Debate
on the Ratio Formalis of God's Infinity; 2.3 Descartes's Ens Summe Perfectum et Infinitum;
2.4 Is There a Historical Relationship Between Descartes and the Debate on the Ratio
Formalis of God's Infinity?; References; Chapter 3: The Ontic and the Iterative: Descartes
on the Infinite and the Indefinite; 3.1 Introduction; 3.2 Three Distinctions
3.3 The Epistemological Distinction: Ignorance3.4 The Metaphysical Distinction: Respects;
3.5 The Metaphysical Distinction: Cardinality; 3.6 The Ontic Reading; References;
Chapter 4: Descartes on the Infinity of Space vs. Time; 4.1 Introduction; 4.2 Letter
to Chanut I: Space; 4.3 Digression: Imaginary Space; 4.4 Letter to Chanut II: Time;
4.5 Cartesian Duration and Time; 4.6 Creation from Eternity; 4.7 The Mereological
Independence Doctrine; 4.8 Temporal Infinitists; 4.9 Descartes and Early Spinoza;
4.10 Conclusion; References
Chapter 5: "A Substance Consisting of an Infinity of Attributes": Spinoza on the Infinity
of Attributes5.1 Introduction; 5.2 Bennett on the Infinity of the Attributes; 5.3
The Textual Evidence; 5.4 Responses to Bennett's Arguments; 5.5 Conclusion; References;
Chapter 6: Infinity in Spinoza's Therapy of the Passions; 6.1 Introduction; 6.2 The
Role of Necessity in Therapy; 6.3 The Role of Infinity in Necessity; 6.4 Perspectives
on Infinity. The Twofold Distinction; 6.5 Species of Infinity. The Threefold Distinction;
6.6 Concluding Remarks; References
Chapter 7: The Road to Finite Modes in Spinoza's Ethics7.1 Introduction; 7.2 The Correspondence
with Tschirnhaus; 7.3 Descartes, Extension and the Impossibility of Particular Bodies;
7.4 Back to Spinoza; 7.5 Two Possible Objections; 7.6 Conclusion; References; Chapter
8: All the Forms of Matter: Leibniz, Regis and the World's Infinity; 8.1 Introduction;
8.2 First Pass: Leibniz's Critique of Descartes; 8.3 Second Pass: Regis's Two Replies;
8.4 Third Pass: Leibniz's Two-Part Rejoinder; 8.5 Fourth Pass: Regis on the Indeterminacy
of the World
8.6 Fifth Pass (Conjectural): Leibniz on the Infinity of the World8.7 Conclusion:
Why Did Leibniz Not Reply?; References; Chapter 9: Leibniz's Early Encounters with
Descartes, Galileo, and Spinoza on Infinity; 9.1 Introduction: Leibniz and the Significance
of His Encounters; 9.2 Leibniz's Encounter with Descartes; 9.3 Leibniz's Encounter
with Galileo; 9.4 Leibniz's Encounter with Spinoza; 9.5 Leibniz Reads Spinoza's Letter
on the Infinite; 9.6 Conclusion; References; Chapter 10: Leibniz's Syncategorematic
Actual Infinite; 10.1 Introduction; 10.2 The Infinite and Infinitely Small as Fictions
