
Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER I NATURE AND DESIGN OF THIS WORK
- CHAPTER II SIGNS AND THEIR LAWS
- CHAPTER III DERIVATION OF THE LAWS
- CHAPTER IV DIVISION OF PROPOSITIONS
- CHAPTER V PRINCIPLES OF SYMBOLICAL REASONING
- CHAPTER VI OF INTERPRETATION
- CHAPTER VII OF ELIMINATION
- CHAPTER VIII OF REDUCTION
- CHAPTER IX METHODS OF ABBREVIATION
- CHAPTER X CONDITIONS OF A PERFECT METHOD
- CHAPTER XI OF SECONDARY PROPOSITIONS
- CHAPTER XII METHODS IN SECONDARY PROPOSITIONS
- CHAPTER XIII CLARKE AND SPINOZA
- CHAPTER XIV EXAMPLE OF ANALYSIS
- CHAPTER XV OF THE ARISTOTELIAN LOGIC
- CHAPTER XVI OF THE THEORY OF PROBABILITIES
- CHAPTER XVII GENERAL METHOD IN PROBABILITIES
- CHAPTER XVIII ELEMENTARY ILLUSTRATIONS
- CHAPTER XIX OF STATISTICAL CONDITIONS
- CHAPTER XX PROBLEMS ON CAUSES
- CHAPTER XXI PROBABILITY OF JUDGMENTS
- CHAPTER XXII CONSTITUTION OF THE INTELLECT
- ERRATA
CHAPTER XIII - CLARKE AND SPINOZA
Published online by Cambridge University Press: 05 November 2011
- Frontmatter
- PREFACE
- Contents
- CHAPTER I NATURE AND DESIGN OF THIS WORK
- CHAPTER II SIGNS AND THEIR LAWS
- CHAPTER III DERIVATION OF THE LAWS
- CHAPTER IV DIVISION OF PROPOSITIONS
- CHAPTER V PRINCIPLES OF SYMBOLICAL REASONING
- CHAPTER VI OF INTERPRETATION
- CHAPTER VII OF ELIMINATION
- CHAPTER VIII OF REDUCTION
- CHAPTER IX METHODS OF ABBREVIATION
- CHAPTER X CONDITIONS OF A PERFECT METHOD
- CHAPTER XI OF SECONDARY PROPOSITIONS
- CHAPTER XII METHODS IN SECONDARY PROPOSITIONS
- CHAPTER XIII CLARKE AND SPINOZA
- CHAPTER XIV EXAMPLE OF ANALYSIS
- CHAPTER XV OF THE ARISTOTELIAN LOGIC
- CHAPTER XVI OF THE THEORY OF PROBABILITIES
- CHAPTER XVII GENERAL METHOD IN PROBABILITIES
- CHAPTER XVIII ELEMENTARY ILLUSTRATIONS
- CHAPTER XIX OF STATISTICAL CONDITIONS
- CHAPTER XX PROBLEMS ON CAUSES
- CHAPTER XXI PROBABILITY OF JUDGMENTS
- CHAPTER XXII CONSTITUTION OF THE INTELLECT
- ERRATA
Summary
ANALYSIS OF A PORTION OF DR. SAMUEL CLARKE's “ DEMONSTRATION OF THE BEING AND ATTRIBUTES OF GOD,” AND OF A PORTION OF THE “ ETHICA ORDINE GEOMETRICO DEMONSTRATA” OF SPINOZA.
1. The general order which, in the investigations of the following chapter, I design to pursue, is the following. I shall examine what are the actual premises involved in the demonstrations of some of the general propositions of the above treatises, whether those premises be expressed or implied. By the actual premises I mean whatever propositions are assumed in the course of the argument, without being proved, and are employed as parts of the foundation upon which the final conclusion is built. The premises thus determined, I shall express in the language of symbols, and I shall then deduce from them by the methods developed in the previous chapters of this work, the most important inferences which they involve, in addition to the particular inferences actually drawn by the authors. I shall in some instances modify the premises by the omission of some fact or principle which is contained in them, or by the addition or substitution of some new proposition, and shall determine how by such change the ultimate conclusions are affected.
- Type
- Chapter
- Information
- An Investigation of the Laws of ThoughtOn Which Are Founded the Mathematical Theories of Logic and Probabilities, pp. 185 - 218Publisher: Cambridge University PressPrint publication year: 2009First published in: 1854