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1. Nature and design of this work 2. Signs and their laws 3. Derivation of the laws 4. Division of propositions 5. Principles of symbolic reasoning 6. Of interpretation 7. Of elimination 8. Of reduction 9. Methods of abbreviation 10. Conditions of a perfect method 11. Of secondary propositions 12. Methods in secondary propositions 13. Clarke and Spinoza 14. Examples of analysis 15. Of the Aristotelian logic 16. Of the theory of probabilities 17. General method in probabilities 18. Elementary illustrations 19. Of statistical conditions 20. Problems on causes 21. Probability of judgements 22. Constitution of the intellect.

An investigation of the laws of thought on which are founded the mathematical theories of logic and probabilities