Principia Mathematica volumes 1, 2, and 3

Volume I:

Preliminary Explanations of Ideas and Notations
The Theory of Logical Types
Incomplete Symbols
Part I: Mathematical Logic
A. The Theory of Deduction ∗1–∗5
B. Theory of Apparent Variables ∗9–∗14
C. Classes and Relations ∗20–∗25
D. Logic of Relations ∗30–∗38
E. Products and Sums of Classes ∗40–∗43
Part II: Prolegomena to Cardinal Arithmetic
A. Unit Classes and Couples ∗50–∗56
B. Sub-Classes, Sub-Relations, and Relative Types ∗60–∗65
C. One-Many, Many-One and One-One Relations ∗70–∗74
D. Selections ∗80–∗88
E. Inductive Relations ∗90–∗97


Volume II:

Prefatory Statement of Symbolic Conventions
Part III: Cardinal Arithmetic
A. Definition and Logical Properties of Cardinal Numbers ∗100–∗106
B. Addition, Multiplication and Exponentiation ∗110–∗117
C. Finite and Infinite ∗118–∗126
Part IV: Relation-Arithmetic
A. Ordinal Similarity and Relation-Numbers ∗150–∗155
B. Addition of Relations, and the Product of Two Relations ∗160–∗166
C. The Principle of First Differences, and the Multiplication and Exponentiation of Relations ∗170–∗177
D. Arithmetic of Relation-Numbers∗180–∗186
Part V: Series
A. General Theory of Series ∗200–∗208
B. On Sections, Segments, Stretches, and Derivatives ∗210–∗217
C. On Convergence, and the Limits of Functions ∗230–∗234


Volume III:

Part V: Series (continued)
D. Well-Ordered Series ∗250–∗259
E. Finite and Infinite Series and Ordinals ∗260–∗265
F. Compact Series, Rational Series, and Continuous Series ∗270–∗276
Part VI: Quantity
A. Generalization of Number ∗300–∗314
B. Vector-Families ∗330–∗337
C. Measurement ∗350–∗359
D. Cyclic Families ∗370–∗375