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Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]
The Game of Logic is a book, published in 1886, written by the English mathematician Charles Lutwidge Dodgson (1832–1898), better known under his literary pseudonym Lewis Carroll. In addition to his well-known children's literature, Dodgson/Carroll was an academic mathematician who worked in mathematical logic .
An Introduction to Non-Classical Logic was designed for multiple audiences. According to American professor of philosophy Stewart Shapiro, the book is accessible to readers with a first or second undergraduate course in symbolic logic, though its optional metatheory sections require graduate-level knowledge. [9]
In 1938 the book was re-issued with a new preface by Russell. This preface was interpreted as a retreat from the realism of the first edition and a turn toward nominalist philosophy of symbolic logic. James Feibleman, an admirer of the book, thought Russell's new preface went too far into nominalism so he wrote a rebuttal to this introduction. [7]
Formal ethics is a formal logical system for describing and evaluating the "form" as opposed to the "content" of ethical principles. Formal ethics was introduced by Harry J. Gensler, in part in his 1990 logic textbook Symbolic Logic: Classical and Advanced Systems, [1] but was more fully developed and justified in his 1996 book Formal Ethics.
Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems : The primary arithmetic (described in Chapter 4 of LoF ), whose models include Boolean arithmetic ;
Several amended versions of his first book "A Survey of Symbolic Logic" have been written over the years, designated as S1 to S5, the last two, S4 and S5, generated much mathematical and philosophical interest, sustained to the present day and are the beginnings of what became the field of normal modal logic. [14]
The Karp Prize is awarded by the association every five years for an outstanding paper or book in the field of symbolic logic. It consists of a cash award and was established in 1973 in memory of Professor Carol Karp. [9]
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