The algebra of logic

Author(s) Louis Couturat

Translators(s) Lydia Gillingham Robinson

Cornell Hist. Math Monographs, none: 98pp. (1914). DOI: 10.3792/chmm/1263313783

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Cornell University Library Historical Math Monographs

98 pp.

Rights: There are no known copyright restrictions in the United States on the use of this text. More information on rights issues associated with public domain texts can be found at http://cdl.library.cornell.edu/guidelines.html.

Published: 1914

First available in Project Euclid: 12 January 2010

Digital Object Identifier: 10.3792/chmm/1263313783

ISBN: 1429704403

Keywords: Logic, Symbolic and mathematical

Cornell University Library Historical Math Monographs

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Miscellaneous front pages

Louis Couturat

Cornell University Library Historical Math Monographs, - (1914). Open Access

Preface

Philip E. B. Jourdain

Cornell University Library Historical Math Monographs, III-X (1914). Open Access

Contents

Louis Couturat

Cornell University Library Historical Math Monographs, XI-XII (1914). Open Access

Bibliography

Louis Couturat

Cornell University Library Historical Math Monographs, XIII-XIV (1914). Open Access

1: Introduction

Louis Couturat

Cornell University Library Historical Math Monographs, 3-3 (1914). https://doi.org/10.3792/chmm/1263313788 Open Access

2: The two interpretations of the logical calculus

Louis Couturat

Cornell University Library Historical Math Monographs, 3-4 (1914). https://doi.org/10.3792/chmm/1263313789 Open Access

3: Relation of inclusion

Louis Couturat

Cornell University Library Historical Math Monographs, 4-6 (1914). https://doi.org/10.3792/chmm/1263313790 Open Access

4: Definition of equality

Louis Couturat

Cornell University Library Historical Math Monographs, 6-8 (1914). https://doi.org/10.3792/chmm/1263313791 Open Access

5: Principle of identity

Louis Couturat

Cornell University Library Historical Math Monographs, 8-8 (1914). https://doi.org/10.3792/chmm/1263313792 Open Access

6: Principle of the syllogism

Louis Couturat

Cornell University Library Historical Math Monographs, 8-9 (1914). https://doi.org/10.3792/chmm/1263313793 Open Access

7: Multiplication and addition

Louis Couturat

Cornell University Library Historical Math Monographs, 9-11 (1914). https://doi.org/10.3792/chmm/1263313794 Open Access

8: Principles of simplification and composition

Louis Couturat

Cornell University Library Historical Math Monographs, 11-12 (1914). https://doi.org/10.3792/chmm/1263313795 Open Access

9: The laws of tautology and of absorption

Louis Couturat

Cornell University Library Historical Math Monographs, 12-13 (1914). https://doi.org/10.3792/chmm/1263313796 Open Access

10: Theorems on multiplication and addition

Louis Couturat

Cornell University Library Historical Math Monographs, 14-14 (1914). https://doi.org/10.3792/chmm/1263313797 Open Access

11: The first formula for transforming inclusions into equalities

Louis Couturat

Cornell University Library Historical Math Monographs, 15-16 (1914). https://doi.org/10.3792/chmm/1263313798 Open Access

12: The distributive law

Louis Couturat

Cornell University Library Historical Math Monographs, 16-17 (1914). https://doi.org/10.3792/chmm/1263313799 Open Access

13: Definition of o and i

Louis Couturat

Cornell University Library Historical Math Monographs, 17-20 (1914). https://doi.org/10.3792/chmm/1263313800 Open Access

14: The law of duality

Louis Couturat

Cornell University Library Historical Math Monographs, 20-21 (1914). https://doi.org/10.3792/chmm/1263313801 Open Access

15: Definition of negation

Louis Couturat

Cornell University Library Historical Math Monographs, 21-23 (1914). https://doi.org/10.3792/chmm/1263313802 Open Access

16: The principles of contradiction and of excluded middle

Louis Couturat

Cornell University Library Historical Math Monographs, 23-24 (1914). https://doi.org/10.3792/chmm/1263313803 Open Access

17: Law of double negation

Louis Couturat

Cornell University Library Historical Math Monographs, 24-25 (1914). https://doi.org/10.3792/chmm/1263313804 Open Access

18: Second formula for transforming inclusions into equalities

Louis Couturat

Cornell University Library Historical Math Monographs, 25-26 (1914). https://doi.org/10.3792/chmm/1263313805 Open Access

19: Law of contraposition

Louis Couturat

Cornell University Library Historical Math Monographs, 26-27 (1914). https://doi.org/10.3792/chmm/1263313806 Open Access

20: Postulate of existence

Louis Couturat

Cornell University Library Historical Math Monographs, 27-27 (1914). https://doi.org/10.3792/chmm/1263313807 Open Access

21: The developments of o and of i

Louis Couturat

Cornell University Library Historical Math Monographs, 28-29 (1914). https://doi.org/10.3792/chmm/1263313808 Open Access

22: Properties of the constituents

Louis Couturat

Cornell University Library Historical Math Monographs, 29-29 (1914). https://doi.org/10.3792/chmm/1263313809 Open Access

23: Logical functions

Louis Couturat

Cornell University Library Historical Math Monographs, 29-30 (1914). https://doi.org/10.3792/chmm/1263313810 Open Access

24: The law of development

Louis Couturat

Cornell University Library Historical Math Monographs, 30-32 (1914). https://doi.org/10.3792/chmm/1263313811 Open Access

25: The formulas of De Morgan.

Louis Couturat

Cornell University Library Historical Math Monographs, 32-33 (1914). https://doi.org/10.3792/chmm/1263313812 Open Access

26: Disjunctive sums

Louis Couturat

Cornell University Library Historical Math Monographs, 34-34 (1914). https://doi.org/10.3792/chmm/1263313813 Open Access

27: Properties of developed functions

Louis Couturat

Cornell University Library Historical Math Monographs, 34-37 (1914). https://doi.org/10.3792/chmm/1263313814 Open Access

28: The limits of a function

Louis Couturat

Cornell University Library Historical Math Monographs, 37-38 (1914). https://doi.org/10.3792/chmm/1263313815 Open Access

29: Formula of Poretsky

Louis Couturat

Cornell University Library Historical Math Monographs, 38-39 (1914). https://doi.org/10.3792/chmm/1263313816 Open Access

30: Schroder's theorem

Louis Couturat

Cornell University Library Historical Math Monographs, 39-41 (1914). https://doi.org/10.3792/chmm/1263313817 Open Access

31: The resultant of elimination

Louis Couturat

Cornell University Library Historical Math Monographs, 41-43 (1914). https://doi.org/10.3792/chmm/1263313818 Open Access

32: The case of indetermination

Louis Couturat

Cornell University Library Historical Math Monographs, 43-43 (1914). https://doi.org/10.3792/chmm/1263313819 Open Access

33: Sums and products of functions

Louis Couturat

Cornell University Library Historical Math Monographs, 44-46 (1914). https://doi.org/10.3792/chmm/1263313820 Open Access

34: The expression of an inclusion by means of an indeterminate

Louis Couturat

Cornell University Library Historical Math Monographs, 46-47 (1914). https://doi.org/10.3792/chmm/1263313821 Open Access

35: The expression of a double inclusion by means of an indeterminate

Louis Couturat

Cornell University Library Historical Math Monographs, 48-50 (1914). https://doi.org/10.3792/chmm/1263313822 Open Access

36: Solution of an equation involving one unknown quantity

Louis Couturat

Cornell University Library Historical Math Monographs, 50-53 (1914). https://doi.org/10.3792/chmm/1263313823 Open Access

37: Elimination of several unknown quantities

Louis Couturat

Cornell University Library Historical Math Monographs, 53-55 (1914). https://doi.org/10.3792/chmm/1263313824 Open Access

38: Theorem concerning the values of a function

Louis Couturat

Cornell University Library Historical Math Monographs, 55-56 (1914). https://doi.org/10.3792/chmm/1263313825 Open Access

39: Conditions of impossibility and indetermination

Louis Couturat

Cornell University Library Historical Math Monographs, 57-57 (1914). https://doi.org/10.3792/chmm/1263313826 Open Access

40: Solution of equations containing several unknown quantities

Louis Couturat

Cornell University Library Historical Math Monographs, 57-59 (1914). https://doi.org/10.3792/chmm/1263313827 Open Access

41: The problem of Boole

Louis Couturat

Cornell University Library Historical Math Monographs, 59-61 (1914). https://doi.org/10.3792/chmm/1263313828 Open Access

42: The method of Poretsky

Louis Couturat

Cornell University Library Historical Math Monographs, 61-62 (1914). https://doi.org/10.3792/chmm/1263313829 Open Access

43: The law of forms

Louis Couturat

Cornell University Library Historical Math Monographs, 62-63 (1914). https://doi.org/10.3792/chmm/1263313830 Open Access

44: The law of consequences

Louis Couturat

Cornell University Library Historical Math Monographs, 63-66 (1914). https://doi.org/10.3792/chmm/1263313831 Open Access

45: The law of causes

Louis Couturat

Cornell University Library Historical Math Monographs, 67-69 (1914). https://doi.org/10.3792/chmm/1263313832 Open Access

46: Forms of consequences and causes

Louis Couturat

Cornell University Library Historical Math Monographs, 69-70 (1914). https://doi.org/10.3792/chmm/1263313833 Open Access

47: Example: Venn's problem

Louis Couturat

Cornell University Library Historical Math Monographs, 70-73 (1914). https://doi.org/10.3792/chmm/1263313834 Open Access

48: The geometrical diagrams of Venn

Louis Couturat

Cornell University Library Historical Math Monographs, 73-75 (1914). https://doi.org/10.3792/chmm/1263313835 Open Access

49: The logical machine of Jevons

Louis Couturat

Cornell University Library Historical Math Monographs, 75-76 (1914). https://doi.org/10.3792/chmm/1263313836 Open Access

50: Table of consequences

Louis Couturat

Cornell University Library Historical Math Monographs, 76-77 (1914). https://doi.org/10.3792/chmm/1263313837 Open Access

51: Table of causes

Louis Couturat

Cornell University Library Historical Math Monographs, 77-79 (1914). https://doi.org/10.3792/chmm/1263313838 Open Access

52: The number of possible assertions

Louis Couturat

Cornell University Library Historical Math Monographs, 79-80 (1914). https://doi.org/10.3792/chmm/1263313839 Open Access

53: Particular propositions

Louis Couturat

Cornell University Library Historical Math Monographs, 80-81 (1914). https://doi.org/10.3792/chmm/1263313840 Open Access

54: Solution of an inequation with one unknown

Louis Couturat

Cornell University Library Historical Math Monographs, 81-83 (1914). https://doi.org/10.3792/chmm/1263313841 Open Access

55: System of an equation and an inequation

Louis Couturat

Cornell University Library Historical Math Monographs, 83-84 (1914). https://doi.org/10.3792/chmm/1263313842 Open Access

56: Formulas peculiar to the calculus of propositions

Louis Couturat

Cornell University Library Historical Math Monographs, 84-85 (1914). https://doi.org/10.3792/chmm/1263313843 Open Access

57: Equivalence of an implication and an alternative

Louis Couturat

Cornell University Library Historical Math Monographs, 85-88 (1914). https://doi.org/10.3792/chmm/1263313844 Open Access

58: Law of importation and exportation

Louis Couturat

Cornell University Library Historical Math Monographs, 88-90 (1914). https://doi.org/10.3792/chmm/1263313845 Open Access

59: Reduction of inequalities to equalities

Louis Couturat

Cornell University Library Historical Math Monographs, 90-91 (1914). https://doi.org/10.3792/chmm/1263313846 Open Access

Conclusion

Louis Couturat

Cornell University Library Historical Math Monographs, 92-93 (1914). https://doi.org/10.3792/chmm/1263313847 Open Access

Index, and back pages

Louis Couturat

Cornell University Library Historical Math Monographs, 94-98 (1914). https://doi.org/10.3792/chmm/1263313848 Open Access

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