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The logic of implication

Journal of Value Inquiry 24 (4):253-268 (1990)

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The essential David Hume.Robert Paul Wolff (ed.) - 1969 - New York,: New American Library.details David Hume (1711-76) is the most important philosopher ever to have written in English. Although best known for his contributions to epistemology, metaphysics, and the philosophy of religion, Hume also made substantial and influential contributions to psychology and the philosophy of mind, ethics, the philosophy of science, political and economic theory, political and social history, and, to a lesser extent, aesthetic and literary theory. Of all of Hume's writings, the philosophically most profound is undoubtedly his first, "A Treatise on Human (...) Download Export citation Bookmark 1 citation
(2 other versions)The development of logic.W. C. Kneale - 1962 - New York: Oxford University Press. Edited by Martha Kneale.details This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time. They then examine developments in the present century. Download Export citation Bookmark 180 citations
What is a natural number?Noel Balzer - 1988 - Journal of Value Inquiry 22 (2):103-113.details Until the second half of the 19th century the natural numbers were regarded as given and not further analysable. The concept of a class as defined by mathematicians of the time, Seeming more fundamental, Was then used to define the natural numbers. Their definitions of a class are unsuitable because of paradoxes and other difficulties. In this paper a new definition of a class is stated, And from this the natural numbers are defined. Download Export citation Bookmark 3 citations
(1 other version)The Development of Logic.William Kneale & Martha Kneale - 1962 - Studia Logica 15:308-310.details Download Export citation Bookmark 316 citations
(2 other versions)The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.details This book traces the development of formal logic from its origins inancient Greece to the present day. The authors first discuss the work oflogicians from Aristotle to Frege, showing how they were influenced by thephilosophical or mathematical ideas of their time. They then examinedevelopments in the present century. Download Export citation Bookmark 297 citations
“What is a class?”.Noel Balzer - 1987 - Journal of Value Inquiry 21 (2):111-130.details The argument of this paper suggests that for the last hundred years or so fundamental premisses of logic have been incorrect. From these premisses a vast superstructure has been developed which, it would seem, is no more meaningful than a game such as chess.The basic errors in current class theory, it seems to me, have impeded progress in the fields of mathematics and logic. I am certain that on the theory proposed, the correct definition of a natural number can be (...) Download Export citation Bookmark 2 citations
The logic of arithmetic.Noel Balzer - 1989 - Journal of Value Inquiry 23 (2):99-121.details If true, this is one the the most important papers in the history of mathematics. the natural numbers are defined and one to one correspondence between the natural numbers is made precise. the paper deals with the very fundamentals of arithmetic and the logical principles differ quite markedly from those used by georg cantor. Download Export citation Bookmark 2 citations

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