CONTENTS

PAGE
Editor’s Note[3]
Abbreviations[9]
CHAPTER
I.The Indefinables of Logic[11]
II.Objective Validity of the “Laws of Thought”[15]
III.Identity[16]
IV.Identity of Classes[18]
V.Ethical Applications of the Law of Identity[19]
VI.The Law of Contradiction in Modern Logic[21]
VII.Symbolism and Meaning[22]
VIII.Nominalism[24]
IX.Ambiguity and Symbolic Logic[26]
X.Logical Addition and the Utility of Symbolism[27]
XI.Criticism[29]
XII.Historical Criticism[30]
XIII.Is the Mind in the Head?[31]
XIV.The Pragmatist Theory of Truth[32]
XV.Assertion[34]
XVI.The Commutative Law[35]
XVII.Universal and Particular Propositions[36]
XVIII.Denial of Generality and Generality of Denial[37]
XIX.Implication[39]
XX.Dignity[43]
XXI.The Synthetic Nature of Deduction[45]
XXII.The Mortality of Socrates[48]
XXIII.Denoting[53]
XXIV.The[54]
XXV.Non-Entity[56]
XXVI.Is[58]
XXVII.And and Or[59]
XXVIII.The Conversion of Relations[60]
XXIX.Previous Philosophical Theories of Mathematics[61]
XXX.Finite and Infinite[63]
XXXI.The Mathematical Attainments of Tristram Shandy[64]
XXXII.The Hardships of a Man with an Unlimited Income[66]
XXXIII.The Relations of Magnitude of Cardinal Numbers[69]
XXXIV.The Unknowable[70]
XXXV.Mr. Spencer, the Athanasian Creed, and the Articles[73]
XXXVI.The Humour of Mathematicians[74]
XXXVII.The Paradoxes of Logic[75]
XXXVIII.Modern Logic and some Philosophical Arguments[79]
XXXIX.The Hierarchy of Jokes[81]
XL.The Evidence of Geometrical Propositions[83]
XLI.Absolute and Relative Position[84]
XLII.Laughter[86]
XLIII.“Gedankenexperimente” and Evolutionary Ethics[88]
Appendixes[89]

ABBREVIATIONS

A. A. W.Lewis Carroll: Alice’s Adventures in Wonderland, London, 1908. [This book was first published much earlier, but this was the edition used by Mr. R*ss*ll. The same applies to H. S. and T. L. G.]
A. C. P.John Henry Blunt (ed. by): The Annotated Book of Common Prayer, London, new edition, 1888.
A. d. L.Ernst Schröder: Vorlesungen über die Algebra der Logik, Leipzig, vol. i., 1890; vol. ii. (two parts), 1891 and 1905; vol. iii.: Algebra und Logik der Relative, 1895.
E. N.Richard Dedekind: Essays on the Theory of Numbers, Chicago and London, 1901.
E. L. L.William Stanley Jevons: Elementary Lessons in Logic, Deductive and Inductive. With copious Questions and Examples, and a Vocabulary of Logical Terms, London, 24th ed., 1907 [first published in 1870].
E. u. I.Ernst Mach: Erkenntnis und Irrtum: Skizzen zur Psychologie der Forschung, Leipzig, 1906.
F. L.Augustus De Morgan: Formal Logic: or The Calculus of Inference, Necessary and Probable, London, 1847.
Fm. L.John Neville Keynes: Studies and Exercises in Formal Logic, 4th ed., London, 1906.
Gg.Gottlob Frege: Grundgesetze der Arithmetik begriffschriftlich abgeleitet, Jena, vol. i., 1893; vol. ii., 1903.
Gl.Gottlob Frege: Die Grundlagen der Arithmetik: eine logisch-mathematische Untersuchung über den Begriff der Zahl, Breslau, 1884.
G. u. E.G. Heymans: Die Gesetze und Elemente des wisenschaftlichen Denkens, Leiden, vol. i., 1890; vol. ii., 1894.
H. J.The Hibbert Journal: a Quarterly Review of Religion, Theology and Philosophy, London and New York.
H. S.Lewis Carroll: The Hunting of the Snark: an Agony in Eight Fits, London, 1911.
M.The Monist: a Quarterly Magazine Devoted to Science and Philosophy, Chicago and London.
Md.Mind: a Quarterly Review of Psychology and Philosophy, London and New York.
Pa. Ma.Alfred North Whitehead and Bertrand Russell: Principia Mathematica, vol. i., Cambridge, 1910. [Other volumes were published in 1912 and 1913.]
P. E.Bertrand Russell: Philosophical Essays, London and New York, 1910.
Ph. L.Bertrand Russell: A Critical Exposition of the Philosophy of Leibniz, with an Appendix of Leading Passages, Cambridge, 1900.
P. M.Bertrand Russell: The Principles of Mathematics, vol. i., Cambridge, 1903.
R. M. M.Revue de Métaphysique et de Morale, Paris.
S. B.Lewis Carroll: Sylvie and Bruno, London, 1889.
S. L.John Venn: Symbolic Logic, London, 1881; 2nd ed., 1894.
S. o. S.William Stanley Jevons: The Substitution of Similars, the True Principle of Reasoning derived from a Modification of Aristotle’s Dictum, London, 1869.
T. L. G.Lewis Carroll: Through the Looking-Glass, and what Alice found there, London, 1911.
Z. S.Gottlob Frege: Ueber die Zahlen des Herrn H. Schubert, Jena, 1899.