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 XI - OF SECONDARY PROPOSITIONS
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
OF SECONDARY PROPOSITIONS, AND OF THE PRINCIPLES OF THEIR SYMBOLICAL EXPRESSION.
1. The doctrine has already been established in Chap, iv., that every logical proposition may be referred to one or the other of two great classes, viz., Primary Propositions and Secondary Propositions. The former of these classes has been discussed in the preceding chapters of this work, and we are now led to the consideration of Secondary Propositions, i. e. of Propositions concerning, or relating to, other propositions regarded as true or false. The investigation upon which we are entering will, in its general order and progress, resemble that which we have already conducted. The two inquiries differ as to the subjects of thought which they recognise, not as to the formal and scientific laws which they reveal, or the methods or processes which are founded upon those laws. Probability would in some measure favour the expectation of such a result. It consists with all that we know of the uniformity of Nature, and all that we believe of the immutable constancy of the Author of Nature, to suppose, that in the mind, which has been endowed with such high capabilities, not only for converse with surrounding scenes, but for the knowledge of itself, and for reflection upon the laws of its own constitution, there should exist a harmony and uniformity not less real than that which the study of the physical sciences makes known to us.
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- Information
- An Investigation of the Laws of ThoughtOn Which Are Founded the Mathematical Theories of Logic and Probabilities, pp. 159 - 176Publisher: Cambridge University PressPrint publication year: 2009First published in: 1854