دانلود کتاب Principia Mathematica volumes 1, 2, and 3

فهرست مطالب :

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