Mathematical Miscellanea. 1

Author: Peirce; Charles S. Eisele; Carolyn  

Publisher: De Gruyter‎

Publication year: 1976

E-ISBN: 9783111563398

P-ISBN(Paperback): 9783111192185

P-ISBN(Hardback):  9783111192185

Subject: O1 Mathematics

Keyword: 数学

Language: ENG

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Chapter

2 Multitude and Continuity

A. On Quantity with Special Reference to Collectional and Mathematical Infinity (14)

B. On Multitude (26, 29)

C. [Multitude and Continuity] (28)

D. The Logic of Continuity (from 948)

E. Achilles, or Achilles and the Tortoise (interleaf from The Century Dictionary); Achilles and the Tortoise (814). . .

F. The Question of Infinitesimals (s-14)

G. [On Continuous Series and the Infinitesimal] (718)

H. Multitude and Continuity (316a)

3 Probability

A. [Outline and First Chapter of a Book on Probability] (748)

B. [The Concept of Probability] (706)

C. [Probability and Induction] (L231)

D. On the Foundation of Ampliative Reasoning (660)

E. [Lowell Lecture of 1866] (354)

F. [Letters to Cousin Jo] (L366: 26 June 1909 and 29 June 1909)

4 Finite Differences

A. A Treatise on the Calculus of Differences (91); Note on the Notation of the Calculus of Finite Differences (92) ...

B. A Trade Secret (212)

5 Boolian Studies

A. Boolian Algebra (s-37, s-38, s-41)

B. Boolian Algebra (s-39)

C. Logic of Science Lectures III, VI (342, 344)

6 Lowell Lectures, 1903

A. Lecture III. First Draught (458)

B. Lecture III (459)

C. [For Lecture III or IV] (466)

D. Lecture V (469, 470)

E. [Lecture V] (471)

F. Lecture VI [Probability] (472, Volume 2)

7 Existential Graphs

A. Lowell Lectures, 1903. Lecture II (455, 456)

B. Reply to Mr. Kempe (708)

C. The Alpha Part of Existential Graphs (s-26)

8 The Four-Color Problem

A. On the Problem of Coloring a Map (153)

B. On the Problem of Map-Coloring and on Geometrical Topics, in General (154)

C. [Link Coloring] (157)

D. The Branches of Geometry (97)

E. [From Pragmatism] (318)

9 Map Projection

A. The U.S. Coast Survey. Appendix 15

B. P.S. of a Letter to J. M. Peirce (L339: 5 April 1894)

C. A Caveat (1353)

D. Formulae and Tables for Constructing Two Different Con- formal Map Projections Suitable to the Exhibition of all the Territory and Possessions of the U.S.A. (1350). . . .

E. [Mathematical Notes on the Shape of the Earth] (1071)

F. New Theory of the Skew Mercator (1353)

G. [Notes for] the Skew Mercator on the Sphere (1584)

H. A New Map of the United States and Possessions. Explanations (1351)

10 Linear Algebra and Matrices

A. Notes on B. Peirce’s Linear Associative Algebra (78)

B. Notes on Associative Multiple Algebra (75)

C. [Quaternions] (90)

D. Topic B. Trichotomic Mathematics (from 431a)

11 Political Economy

A. [On Political Economy] (1569)

B. Calculus of Wealth (s-86)

C. [Letter to Benjamin Peirce] (L333: 19 December 1871)

12 Amazing Mazes

A. The Third Curiosity (199)

B. Some Amazements of Mathematics (202)

C. Specimens of Mathematical Amazes (201)

13 Logic Machines “Logical Machines,” American Journal of Psychology, November, 1877

14 Measurement

A. [From Natural Metric System] (from 427)

B. [Draft of Review of A. Ziwet’s An Elementary Treatise on Theoretical Mechanics] (1381)

C. “On the Theory of Errors of Observations,” Appendix 21, Annual Report of the Superintendent for 1870 (U.S. Coast and Geodetic Survey). .

D. The Metric System of Weights and Measures [review] (1410)

E. [Note on Metric System] (from a report of The National Academy of Sciences meeting — The Nation, 24 April, 1902)

F. The Numerical Measure of the Success of Predictions (Science 4, 14 November 1884)

15 Non-Euclidean Geometry

A. The Non-Euclidean Geometry Made Easy (117)

B. Reflections on Non-Euclidean Geometry (118)

C. Non-Euclidean Geometry (122)

D. The Elements of Non-Euclidean Geometry. Preface (120)

E. [From a Paper for Thomas S. Fiske] (121)

F. On Two Map-Projections of the Lobatschewskian Plane (Smithsonian Institution Archives)

16 Application of Mathematics

A. [Fragment of Report on Morison’s Bridge Project] (1360)

B. Hints toward the Invention of a Scale-Table (221)

17 JV-Valued Logic

A. On the Simplest Possible Branch of Mathematics (1 and 1250)

B. Mathematical Logic (1147)

C. [The Modus Ponens] (748)

D. [A Search for a Method: Fragments] (594)

E. [On Possibility] (145)

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