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Boole and mill: differing perspectives on logical psychologism

History and Philosophy of Logic 1 (1-2):19-36 (1980)

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Giving wings to logic: Mary Everest Boole's propagation and fulfilment of a legacy.K. G. Valente - 2010 - British Journal for the History of Science 43 (1):49-74.details In his influential Laws of Thought , the mathematician George Boole presented a formulation of logic using algebraic expressions and manipulations. His widow, Mary Everest Boole, undertook an ambitious project of disseminating his ideas by introducing lay audiences to the law of pulsation, a prescription for correct reasoning that incorporates two of his fundamental insights. Contemporary scholarship presents a fragmented picture of Mary Boole, regarding her largely as a source of information on the religio-psychological impetus for her husband's contributions to (...) 19th Century Logic in 19th Century Philosophy Direct download (3 more) Export citation Bookmark 1 citation
Boole's abandoned propositional logic.Theodore Hailperin - 1984 - History and Philosophy of Logic 5 (1):39-48.details The approach used by Boole in Mathematical analysis of logic to develop propositional logic was based on the idea of ?cases? or ?conjunctures of circumstances?. But this was dropped in Laws of thought in favor of one which Boole considered to be more satisfactory, that of using the notion of ?time for which a proposition is true?. We show that, when suitable clarifications and corrections are made, the earlier approach? which accords with modern logic in eschewing the extraneous notion of (...) time?is indeed a viable one. (shrink) 19th Century Logic in 19th Century Philosophy Propositional Logic in Logic and Philosophy of Logic Direct download (2 more) Export citation Bookmark 3 citations
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
Projective Geometry and Mathematical Progress in Mid-Victorian Britain.Joan L. Richards - 1986 - Studies in History and Philosophy of Science Part A 17 (3):297.details Geometry in Philosophy of Mathematics Direct download (3 more) Export citation Bookmark 6 citations
Analysis versus laws boole’s explanatory psychologism versus his explanatory anti-psychologism.Nicla Vassallo - 1997 - History and Philosophy of Logic 18 (3):151-163.details This paper discusses George Boole’s two distinct approaches to the explanatory relationship between logical and psychological theory. It is argued that, whereas in his first book he attributes a substantive role to psychology in the foundation of logical theory, in his second work he abandons that position in favour of a linguistically conceived foundation. The early Boole espoused a type of psychologism and later came to adopt a type of anti-psychologism. To appreciate this invites a far-reaching reassessment of his philosophy (...) of logic. (shrink) 19th Century Logic in 19th Century Philosophy Direct download (3 more) Export citation Bookmark 4 citations
Psychology in the foundations of logic and mathematics: the cases of boole, cantor and brouwer.I. Grattan-Guinness - 1982 - History and Philosophy of Logic 3 (1):33-53.details In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics. 19th Century Logic in 19th Century Philosophy 20th Century Logic in 20th Century Philosophy Direct download (2 more) Export citation Bookmark 8 citations
Psychologism in the Logic of John Stuart Mill: Mill on the Subject Matter and Foundations of Ratiocinative Logic.David M. Godden - 2005 - History and Philosophy of Logic 26 (2):115-143.details This paper considers the question of whether Mill's account of the nature and justificatory foundations of deductive logic is psychologistic. Logical psychologism asserts the dependency of logic on psychology. Frequently, this dependency arises as a result of a metaphysical thesis asserting the psychological nature of the subject matter of logic. A study of Mill's System of Logic and his Examination reveals that Mill held an equivocal view of the subject matter of logic, sometimes treating it as a set of psychological (...) 19th Century Logic in 19th Century Philosophy John Stuart Mill in 19th Century Philosophy Logic and Philosophy of Logic, Misc in Logic and Philosophy of Logic Mathematical Psychologism in Philosophy of Mathematics Direct download (5 more) Export citation Bookmark 12 citations
Psychologism and the Development of Russell's Account of Propositions.David M. Godden & Nicholas Griffin - 2009 - History and Philosophy of Logic 30 (2):171-186.details This article examines the development of Russell's treatment of propositions, in relation to the topic of psychologism. In the first section, we outline the concept of psychologism, and show how it can arise in relation to theories of the nature of propositions. Following this, we note the anti-psychologistic elements of Russell's thought dating back to his idealist roots. From there, we sketch the development of Russell's theory of the proposition through a number of its key transitions. We show that Russell, (...) 17th/18th Century Logic in 17th/18th Century Philosophy Bertrand Russell in 20th Century Philosophy Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark 5 citations
Limits of thought and Husserl's phenomenology.Brian Redekopp - 2011 - Dissertation, Mcgill Universitydetails In this thesis I develop an account of the nature of limits of thought in terms of Husserl's phenomenology. I do this by exploring in terms of Husserl's phenomenology various ways thought-limits are encountered. Chapter One employs Husserl's analyses of meaning and intentionality to clarify the limits of conception and of questioning that emerge in wonder at the existence of the world. Chapter Two undertakes a critique of Husserl's refutation of psychologism in logic in order to clarify limits encountered in (...) Husserl: Philosophy of Mind, Misc in Continental Philosophy Direct download Export citation Bookmark
On the indemonstrability of the principle of contradiction.Elisabeta Sarca - unknowndetails In this thesis I examine three models of justification for the epistemic authority of the principle of contradiction. Aristotle has deemed the principle "that the same attribute cannot at the same time belong and not belong to the same subject and in the same respect" the most certain and most prior of all principles, both in the order of nature and in the order of knowledge, and as such it is indemonstrable. The principle of contradiction is involved in any act (...) Aristotle: Metaphysics in Ancient Greek and Roman Philosophy Direct download (6 more) Export citation Bookmark

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