
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 III - DERIVATION OF THE LAWS
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
DERIVATION OF THE LAWS OF THE SYMBOLS OF LOGIC FROM THE LAWS OF THE OPERATIONS OF THE HUMAN MIND.
1. The object of science, properly so called, is the knowledge of laws and relations. To be able to distinguish what is essential to this end, from what is only accidentally associated with it, is one of the most important conditions of scientific progress. 1 say, to distinguish between these elements, because a consistent devotion to science does not require that the attention should be altogether withdrawn from other speculations, often of a metaphysical nature, with which it is not unfrequently connected. Such questions, for instance, as the existence of a sustaining ground of phænomena, the reality of cause, the propriety of forms of speech implying that the successive states of things are connected by operations, and others of a like nature, may possess a deep interest and significance in relation to science, without being essentially scientific. It is indeed scarcely possible to express the conclusions of natural science without borrowing the language of these conceptions. Nor is there necessarily any practical inconvenience arising from this source. They who believe, and they who refuse to believe, that there is more in the relation of cause and effect than an invariable order of succession, agree in their interpretation of the conclusions of physical astronomy. But they only agree because they recognise a common element of scientific truth, which is independent of their particular views of the nature of causation.
- Type
- Chapter
- Information
- An Investigation of the Laws of ThoughtOn Which Are Founded the Mathematical Theories of Logic and Probabilities, pp. 39 - 51Publisher: Cambridge University PressPrint publication year: 2009First published in: 1854