The Bulletin of Symbolic Logic
Title | The Bulletin of Symbolic Logic PDF eBook |
Author | |
Publisher | |
Total Pages | 116 |
Release | 2009-09 |
Genre | Logic, Symbolic and mathematical |
ISBN |
The Journal of Symbolic Logic
Title | The Journal of Symbolic Logic PDF eBook |
Author | |
Publisher | |
Total Pages | 708 |
Release | 1954 |
Genre | Electronic journals |
ISBN |
The Foundations of Geometry
Title | The Foundations of Geometry PDF eBook |
Author | David Hilbert |
Publisher | |
Total Pages | 158 |
Release | 1902 |
Genre | Geometry |
ISBN |
Tool and Object
Title | Tool and Object PDF eBook |
Author | Ralph Krömer |
Publisher | Springer Science & Business Media |
Total Pages | 400 |
Release | 2007-06-25 |
Genre | Mathematics |
ISBN | 3764375248 |
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.
Logic as a Liberal Art
Title | Logic as a Liberal Art PDF eBook |
Author | R. E. Houser |
Publisher | Catholic University of America Press |
Total Pages | 481 |
Release | 2019-12-10 |
Genre | Philosophy |
ISBN | 0813232341 |
In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.
A Survey of Symbolic Logic
Title | A Survey of Symbolic Logic PDF eBook |
Author | Clarence Irving Lewis |
Publisher | |
Total Pages | 440 |
Release | 1918 |
Genre | Logic, Symbolic and mathematical |
ISBN |
Mathematical Logic and Its Applications
Title | Mathematical Logic and Its Applications PDF eBook |
Author | Dimiter G. Skordev |
Publisher | Springer Science & Business Media |
Total Pages | 366 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461308976 |
The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.