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George Boole: Selected Manuscripts on Logic and Its Philosophy

George Boole, I. Grattan-Guinness & G. Bornet

Studia Logica 63 (1):143-146 (1999)

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Psychology and Time in Boole’s Logic.Andrew Stone - 2023 - History and Philosophy of Logic 44 (1):1-15.details In the Laws of Thought, Boole establishes a theory of secondary propositions based upon the notion of time. This temporal interpretation of secondary propositions has historically been met with wide disapproval and is usually dismissed in the modern literature as a philosophical non-starter. What was Boole thinking? This paper attempts to give an answer to this question. Specifically, it provides an account according to which Boole’s temporal interpretation follows from his psychologistic conception of logic, in addition to certain background assumptions (...) 19th Century British Philosophy in 19th Century Philosophy 19th Century Logic in 19th Century Philosophy History of Logic in Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark
Lewis Carroll's visual logic.Francine F. Abeles - 2007 - History and Philosophy of Logic 28 (1):1-17.details John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll's is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction. This regularity makes it easier to locate and thereby to erase cells corresponding with classes destroyed by the premises of an (...) 19th Century Logic in 19th Century Philosophy Direct download (3 more) Export citation Bookmark 7 citations
Aristotle's Prior Analytics and Boole's Laws of thought.John Corcoran - 2003 - History and Philosophy of Logic. 24 (4):261-288.details Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss (...) 19th Century Logic in 19th Century Philosophy Ancient Greek and Roman Logic in Ancient Greek and Roman Philosophy Aristotelian Logic in Logic and Philosophy of Logic Aristotle: Logic and Philosophy of Language in Ancient Greek and Roman Philosophy Logics, Misc in Logic and Philosophy of Logic Direct download (5 more) Export citation Bookmark 24 citations
Aristotle's Prior Analytics and Boole's Laws of Thought.John Corcoran - 2003 - History and Philosophy of Logic 24 (4):261-288.details Prior Analytics by the Greek philosopher Aristotle and Laws of Thought by the English mathematician George Boole are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle's system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss many other historically and philosophically important aspects (...) 19th Century Logic in 19th Century Philosophy Logic and Philosophy of Logic Direct download (2 more) Export citation Bookmark 24 citations
Laws of Thought and Laws of Logic after Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.details George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...) 19th Century Logic in 19th Century Philosophy Epistemology of Logic in Logic and Philosophy of Logic Kant: Philosophy of Logic, Misc in 17th/18th Century Philosophy Logic in Philosophy in Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic $45.00 used $152.00 new (collection) View on Amazon.com Direct download (3 more) Export citation Bookmark

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