The Algebra Of Logic(1st Edition)
Authors:
Louis Couturat
In Stock
Include with your book
Free shipping: April 04, 2024Popular items with books
Total Price:
$0
Book details
ISBN: 1537077783, 978-1537077789
Book publisher: CreateSpace Independent Publishing Platform
The Algebra Of Logic 1st Edition Summary: The algebra of logic was founded by George Boole (1815-1864); it was developed and perfected by Ernst Schroder (1841-1902) The fundamental laws of this calculus were devised to express the principles of reasoning, the laws of thought But this calculus may be considered from the purely formal point of view, which is that of mathematics, as an algebra based upon certain principles arbitrarily laid down It belongs to the realm of philosophy to decide whether, and in what measure, this calculus corresponds to the actual operations of the mind, and is adapted to translate or even to replace argument; we cannot discuss this point here The formal value of this calculus and its interest for the mathematician are absolutely independent of the interpretation given it and of the application which can be made of it to logical problems In short, we shall discuss it not as logic but as algebra. Contents Preface Bibliography Introduction The Two Interpretations of the Logical Calculus Relation of Inclusion Definition of Equality Principle of Identity Principle of the Syllogism Multiplication and Addition Principles of Simplification and Composition The Laws of Tautology and of Absorption Theorems on Multiplication and Addition The First Formula for Transforming Inclusions into Equalities The Distributive Law Definition of 0 and 1 The Law of Duality Definition of Negation The Principles of Contradiction and of Excluded Middle Law of Double Negation Second Formulas for Transforming Inclusions into Equalities The Law of Couturat Postulate of Existence The Development of 0 and of 1 Properties of the Constituents Logical Functions The Law of Development The Formulas of De Morgan Disjunctive Sums Properties of Developed Functions The Limits of a Function Formula of Poretsky Schroder's Theorem The Resultant of Elimination The Case of Indetermination Sums and Products of Functions.
Customers also bought these books
What Cried Granny An Almost Bedtime Story - 1st Edition
Kate Lum
ISBN: 0142300926, 978-0142300923
$0 $8.96Frequently Bought Together
Basic Bookkeeping An Office Simulation - 8th Edition
Brooke Barker
ISBN: 0176721223, 978-0176721220
$0 $129.95
Community And Social Change In America - 48860 Edition
Thomas Bender
ISBN: 0801829240, 978-0801829246
$0 $13.71
Using Sage 50 Accounting 2021 - 1st Canadian Edition
Mary Purbhoo
ISBN: 0137572263, 978-0137572267
$0 $239.00
In Their Siblings Voices White Non Adopted Siblings Talk About Their Experiences Being Raised With Black And Biracial Brothers And Sisters - 1st Edition
Rita Simon
ISBN: 0231148518 , 978-0231148511
$0 $28.00
The Theory And Practice Of Group Psychotherapy - 6th Edition
Irvin D. Yalom
ISBN: 1541617576, 978-1541617575
$0 $63.77Top Reviews for Books
