graphical logic of C.S. Peirce.
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graphical logic of C.S. Peirce. by Joseph Jay Zeman

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Published in Chicago, Ill .
Written in English

Subjects:

  • Peirce, Charles S. -- 1839-1914.,
  • Logic, Symbolic and mathematical

Book details:

Classifications
LC ClassificationsB945 P44 Z4 1964A
The Physical Object
Pagination[186 leaves]
Number of Pages186
ID Numbers
Open LibraryOL21524935M

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A CASUAL thumbing through Volumes III and IV of the Collected Papers of C. S. Peirce will turn up a fair number of kinds of diagrams each of which has some claim to the title "Logical Diagram" or "Logical Graph" In this paper I shall examine in detail one family of these diagrams -- or better, of systems of these diagrams -- to which the name "Graphical Logic" may fairly be applied. J. J. Zeman: The Graphical Logic of C. S. Peirce You can find a html-version of this book at the homepage of Zeman. This book offers a mathematical elaboration of Peirce's alpha-graphs, Peirce's beta-graphs, and the part of Peirce's gamma-graphs which extend the beta-part by adding the so-called "broken cut" (this part corresponds to modal logic). Alpha, as we shall see, is a logic; the rules of transformation for alpha presented in the Introduction are the rules of inference of that logic. As a logic, alpha has theorems, theorems provable through those rules of transformation; we shall see how those theorems are related to those of CPC. Charles Sanders Peirce has books on Goodreads with ratings. Charles Sanders Peirce’s most popular book is Philosophical Writings of Peirce.

The book begins with a discussion of Benjamin Peirce’s linear associative algebra and then considers this and other early influences on the logic of is son, C. S. Peirce. A discussion of the early algebraic logicians such as Boole, Jevons and De Morgan follows, culminating in a detailed analysis of C. S. Peirce’s seminal paper. Author: Charles Sanders Peirce; Publisher: Harvard University Press ISBN: Category: Philosophy Page: View: DOWNLOAD NOW» Volumes I-VI of the Collected Papers of Charles Sanders Peirce are being reissued in response to a growing interest in Peirce's thought--a development that was prophesied by John Dewey when he reviewed the first volume of these papers on their. Borrowing a brace of concepts from Aristotle, Peirce examined three basic modes of inference — abduction, deduction, and induction —in his "critique of arguments" or "logic proper". Peirce also called abduction "retroduction", "presumption", and, earliest of all, "hypothesis".Alma mater: Harvard University. Peirce, C. S. (), Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic, published as an extraction (Eprint via Google Book Search: users outside the US may not yet be able to gain full access to the book), Welch, Bigelow, and Company for Harvard University Dec. 14 – Jan. Harvard lectures on "British Logicians". (Some in W ). See below.

Peirce thus subtitles what is Book 2 of Volume IV of The Collected Papers, At this point we shall note again what we mentioned in the Preface, that citations from this collection shall generally be listed in the text of the paper without footnote, employing the decimal notation normally employed in Peirce scholarship; thus " " for example, will mean paragraph of Vol. IV of the Collected Papers. Appendix The Deduction Theorem in S4, S and S5. THE immediate purpose of our discussion of the deduction theorem in these modal systems is to show that. CLCpqCLCqpCdpdq. is a theorem-schema of S4, S, and S5. But a statement of the deduction theorem for these systems is itself, I think, of considerable general interest. A case study of multimodal systems and a new interpretation of Charles S. Peirce's theory of reasoning and signs based on an analysis of his system of Existential Graphs. At the dawn of modern logic, Charles S. Peirce invented two types of logical systems, one symbolic and the other graphical. In this book Sun-Joo Shin explores the philosophical roots of the birth of Peirce's Existential. From this failure follows the failure of the graphs as the ultimate analytical instrument of deductive reasoning in the broadest sense. And this makes the graphs, from this point of view, just an unfinished wing in the uncompleted structure that was the philosophy of C. S. Peirce. But the graphs need not be viewed only from this point of view. As logical systems they are astoundingly successful.