Robert and Hermann Grassmann’s influence on the history of formal logic

Author(s):  
Volker Peckhaus
Keyword(s):  
Author(s):  
Gerard Lee McKeever

This chapter reads James Hogg and Walter Scott within a new, revisionist history of short fiction that is particularly interested in the genre of the ‘tale’. Focusing on the half-decade between 1827 and 1831, the chapter highlights a selection of Hogg’s mature contributions to Blackwood’s Edinburgh Magazine alongside Scott’s Chronicles of the Canongate (first series). These years were marked by literary experimentation, when a confident improving persuasion in Scottish culture was threatening to unravel. The formal logic of these short fictions, defined by a curiously focused spontaneity, exacerbates a pluralistic handling of the collision between improvement and tradition. Different models of time (progress, renewal, disruption) and belief (suspension, scepticism, credulity) serve to interrogate improvement in a wide range of contexts around commercial modernisation. The chapter unpacks two specific literary innovations in this context. The first looks to acts of transmission in the literary marketplace which by turns sustain, contain and defer the dialectics of improvement. The second sees the emergence of a fully fledged aesthetic vocabulary of culture in Scott’s writing.


Tadeusz Kotarbiński. Introduction. Notes on the development of formal logic in Poland in the years 1900–39. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 1–14. - Jan Łukasiewicz. On the notion of possibility. English translation of the first half of 1864 by H. Hiż. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 15–16. - Jan Łukasiewicz. On three-valued logic. English translation of the second half of 1864 by H. Hiż. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 16–18. - Jan Łukasiewicz. On determinism. English translation of XXXIII 130 by Z. Jordan. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 19–39. - Jan Łukasiewicz. Philosophical remarks on many-valued systems of propositional logic. English translation of 1868 by H. Weber. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 40–65. - Jan Łukasiewicz. On the history of the logic of propositions. English translation of 18613 by S. McCall. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 66–87. - Jan Łukasiewicz. The equivalential calculus. English translation of VI115 by P. Woodruff. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 88–115. - Stanisław Leśniewski. Introductory remarks to the continuation of my article: ‘Grundzüge eines neuen Systems der Grundlagen der Mathematik.’ English translation of V 83 by W. Teichmann and S. McCall. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 116–169. - Stanisław Leśniewski. On definitions in the so-called theory of deduction. English translation of 20213 by E. C. Luschei. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 170–187. - Bolesław Sobociński. Successive simplifications of the axiom-system of Leiniewski's ontology. English translation of 4432 by Z. Jordan. Polish logic 1920–1939, edited by Storrs McCall. The Clarendon Press, Oxford1967, pp. 188–200.

1970 ◽  
Vol 35 (3) ◽  
pp. 442-446
Author(s):  
Witold A. Pogorzelski

Al-Farabi ◽  
2021 ◽  
Vol 74 (2) ◽  
pp. 34-45
Author(s):  
Leskhan Askar ◽  
◽  
Asset Kuranbek ◽  
Dinara Pernebekova ◽  
Kamshat Kindikbaeva ◽  
...  

In modern conditions of dynamically developing knowledge, the demand for correct thinking remains an urgent problem. Unfortunately, the course of logic, and especially the history of logic is excluded from the educational program of preparation of many specialties. Although the knowledge of logical science, its laws, techniques and operations in the practical and theoretical work of not only the humanities, but also representatives of technical, natural and mathematical specialties can hardly be overestimated. In this article, the authors' idea is aimed at filling the existing gap and presenting an analysis of the history of its formation in the format of the history of culture and the history of philosophy, using a comparative approach. In the history of logical science, a significant place is occupied by the logic of al-Farabi, who in the Middle Ages left a bright, indelible mark in the field of many sciences with his original ideas. The article analyzes the contribution made to the development of the science of logic by al-Farabi, which in turn contributes to the formation of a culture of thinking and comes to the following conclusions: First, al-Farabi closely links formal logic with the science of language. However, he does not completely identify thinking and language, noting that language is ethnic, while thinking is universal. Secondly, the Second Teacher considers dialectics as belonging to formal logic, in it he sees a form and means of cooperation between people, etc.


2020 ◽  
Vol LXXVI (76) ◽  
pp. 71-80
Author(s):  
Maciej Grochowski

Językoznawcy polscy, teoretycy języka, urodzeni w latach trzydziestych XX wieku, którzy rozpoczęli swoją działalność naukową w latach pięćdziesiątych XX wieku, poszukiwali nowych metod opisu gramatycznego języka polskiego. Istotny wpływ na liczne prace z zakresu gramatyki polskiej Andrzeja Bogusławskiego, Stanisława Karolaka, Zuzanny Topolińskiej i innych badaczy tego pokolenia miała metodologia europejskiego strukturalizmu i logiki formalnej. Uczeni posługiwali się wieloma terminami pochodzącymi z rachunku funkcyjnego i rachunku zdań, a także tworzyli nowe, oparte na terminologii logicznej. W tym artykule omawiane są dwa podstawowe terminy logiczne, predykat i implikacja, a następnie dwie grupy terminów gramatycznych na nich opartych. Do pierwszej należy np. wyrażenie predykatywne, struktura predykatowo-argumentowa, a do drugiej implikacja semantyczna i sprzeczność. The influence of formal logic on the development of Polish grammatical terminology in the second half of the 20th century. Summary: The generation of the Polish language theoreticians who were born in the 1930s and started their scientific activity in the 1950s searched for new methods of the grammatical description of Polish. The methodology of European structuralism and formal logic had a significant influence on numerous studies on Polish grammar authored by Andrzej Bogusławski, Stanisław Karolak, Zuzanna Topolińska, and by other scholars of the same generation. They used terms taken from functional and sentential calculi, and created new ones that were based on logical terminology. The article first discusses two basic terms used in logic, namely, predicate and implication, to then address two sets of grammatical terms which are based on the logical terms. The first set includes terms such as e.g. predicative expression, predicate-argument structure, whereas the other set contains terms such as semantic implication, contradiction. Keywords: history of Polish linguistics, grammar, semantics, formal logic, terminology


Author(s):  
David Bakhurst

One of the most accomplished thinkers in the Soviet Marxist tradition, Asmus wrote extensively in many areas of philosophy, and was widely regarded as the Soviet Union’s principal Kant scholar. Early in his career, he became associated with the influential school of ‘dialecticians’ led by A.M. Deborin and produced a number of significant writings in the history of philosophy. When Deborin and his followers were condemned as ‘Menshevizing idealists’ in 1931, Asmus shifted the principal focus of his work to aesthetics and logic. His 1947 textbook of formal logic subsequently became the principal text for logic instruction in the USSR. Throughout his long career, Asmus experienced a number of political difficulties. Nevertheless, he avoided imprisonment and published consistently, though he was never permitted to go abroad. His importance in Russian philosophy derives not so much from the significance of his theories, but from his role in preserving philosophical culture in Russia through the Stalin period. He aspired to high standards of scholarship and worked hard to foster the study of logic and the history of philosophy. The breadth of his interests and his excellence as a teacher made him an inspirational figure to the young scholars striving to revive Soviet philosophy in the 1960s.


Author(s):  
Peter Cheyne

‘PHILOSOPHY, or the doctrine and discipline of ideas’ as S. T. Coleridge understood it, is the theme of this book. It considers the most vital and mature vein of Coleridge’s prose writings to be ‘the contemplation of ideas objectively, as existing powers’. A theory of ideas emerges in critical engagement with thinkers including Plato, Plotinus, Böhme, Kant, and Schelling. A commitment to the transcendence of reason, central to what Coleridge calls ‘the spiritual platonic old England’, distinguishes him from his German contemporaries. This book pursues a theory of contemplation that draws from Coleridge’s theories of imagination and the ‘Ideas of Reason’ in his published texts and extensively from his thoughts as they developed throughout published works, fragments, letters, and notebooks. He posited a hierarchy of cognition from basic sense intuition to the apprehension of scientific, ethical, and theological ideas. The structure of the book follows this thesis, beginning with sense data, moving upwards into aesthetic experience, imagination, and reason, with final chapters on formal logic and poetry that constellate the contemplation of ideas. Coleridge’s Contemplative Philosophy is not just a work of history of philosophy; it addresses a figure whose thinking is of continuing interest, arguing that contemplation of ideas and values has consequences for everyday morality and aesthetics, as well as metaphysics. The book also illuminates Coleridge’s prose by analysis of his poetry, notably the ‘Limbo’ sequence. The volume will be of interest to philosophers, intellectual historians, scholars of religion, and of literature.


1962 ◽  
Vol 25 (1) ◽  
pp. 183-186
Author(s):  
Dennis C. Kane
Keyword(s):  

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