Collected Papers of Charles Sanders Peirce, Volumes III and IV, Exact Logic (Published Papers) and The Simplest Mathematics

Charles Sanders Peirce

Edited by Charles Hartshorne

Edited by Paul Weiss

    Introduction

    Editorial Note

    Chapter I: On an Improvement in Boole's Calculus of Logic (1867)

    Chapter II: Upon the Logic of Mathematics (1867)
    1. The Boolian Calculus
    2. On Arithmetic

    Chapter III: Description of a Notation for the Logic of Relatives, Resulting from an
    Amplification of the Conceptions of Boole's Calculus of Logic (1870)
    1. De Morgan's Notation
    2. General Definitions of the Algebraic Signs
    3. Application of the Algebraic Signs to Logic
    4. General Formulæ
    5. General Method of Working with this Notation
    6. Properties of Particular Relative Terms

    Chapter IV: On the Application of Logical Analysis to Multiple Algebra (1875)

    Chapter V: Note on Grassmann's Calculus of Extension (1877)

    Chapter VI: On the Algebra of Logic (1880)

    Part I: Syllogistic
    1. Derivation of Logic
    2. Syllogism and Dialogism
    3. Forms of Propositions
    4. The Algebra of the Copula

    Part II: The Logic of Non-Relative Terms
    1. The Internal Multiplication and the Addition of Logic
    2. The Resolution of Problems in Non-Relative Logic

    Part III: The Logic of Relatives
    1. Individual and Simple Terms
    2. Relatives
    3. Relatives connected by Transposition of Relate and Correlate
    4. Classification of Relatives
    5. The Composition of Relatives
    6. Methods in the Algebra of Relatives
    7. The General Formulæ for Relatives

    Chapter VII: On the Logic of Number (1881)
    1. Definition of Quantity
    2. Simple Quantity
    3. Discrete Quantity
    4. Semi-infinite Quantity
    5. Discrete Simple Quantity Infinitein both Directions
    6. Limited Discrete Simple Quantity

    Chapter VIII: Associative Algebras (1881)
    1. On the Relative Forms of the Algebras
    2. On the Algebras in which Division is Unambiguous

    Chapter IX: Brief Description of the Algebra of Relatives (1882)

    Chapter X: On the Relative Forms of Quaternions (1882)

    Chapter XI: On a Class of Multiple Algebras (1882)

    Chapter XII: The Logic of Relatives (1883)

    Chapter XIII: On the Algebra of Logic:
    A Contribution to the Philosophy of Notation (1885)
    1. Three Kinds of Signs
    2. Non-Relative Logic
    3. First-Intentional Logic of Relatives
    4. Second-Intentional Logic
    5. Note

    Chapter XIV: The Critic of Arguments (1892)
    1. Exact Thinking
    2. The Reader is Introduced to Relatives

    Chapter XV: The Regenerated Logic (1896)

    Chapter XVI: The Logic of Relations (1897)
    1. Three Grades of Clearness
    2. Of the Term Relation in its First Grade of Clearness
    3. Of Relation in the Second Grade of Clearness
    4. Of Relation in the Third Grade of Clearness
    5. Triads, the Primitive Relatives
    6. Relatives of Second Intention
    7. The Algebra of Dyadic Relatives
    8. General Algebra of Logic
    9. Method of Calculating with the General Algebra
    10. Schroder's Conception of Logical Problems
    11. Professor Schroder's Pentagrammatical Notation
    12. Professor Schroder's Iconic Solution of
    13. Introduction to the Logic of Quantity

    Chapter XVII: The Logic of Mathematics in Relation to Education (1808)
    1. Of Mathematics in General
    2. Of Pure Number

    Chapter XVIII: Infinitesimals (1900)

    Chapter XIX: Nomenclacture and Divisions of Dyadic Relations (1903)
    1. Nomenclature
    2. First System of Divisions
    3. Second System of Divisions
    4. Third System of Divisions
    5. Fourth System of Divisions
    6. Note on the Nomenclature and Divisions of Modal Dyadic Relations

    Chapter XX: Notes on Symbolic Logic and Mathematics (1901 and 1911)
    1. Imaging
    2. Individual
    3. Involution
    4. Logic (exact)
    5. Multitude (in mathematics)
    6. Postulate
    7. Presupposition
    8. Relatives
    9. Transposition

    Appendix: On Nonions

    Index of Proper Names

    Index of Subjects

  • Cover: Collected Papers of Charles Sanders Peirce, Volumes III and IV, Exact Logic (Published Papers) and The Simplest Mathematics

Charles Hartshorne is Ashbel Smith Professor of Philosophy at the University of Texas.

Paul Weiss is Heffer Professor of Philosophy at the School of Philosophy, Catholic University, Washington, D.C.