History of Logic and its Modern Interpretation
With the innovations within the logic of the 20th century, the history of logic was long regarded as an outdated discipline that could no longer contribute to current developments and ideas. The gap between traditional syllogistics and the mathematical or philosophical logic of the 20th century appeared too great. Some authors simply divided the history of their discipline into two areas: the old and the new logic.
With the innovations within the logic of the 20th century, the history of logic was long regarded as an outdated discipline that could no longer contribute to current developments and ideas. The gap between traditional syllogistics and the mathematical or philosophical logic of the 20th century appeared too great. Some authors simply divided the history of their discipline into two areas: the old and the new logic.
In recent decades, however, researchers have often shown that there are old logics with enormous potential: numerous modern systems in the field of visual reasoning are based on the Aristotelian square of opposition, on the arbor porphyriana or on Euler's logic diagrams. In Arabic and islamic logic the consequence relations show alternatives to modern approaches. Today, Indian logic is often associated with paraconsistency and dialetheism and in the field of natural language processing, medieval logicians are increasingly used to circumvent the artificiality of algebraic logic. In modal logic, Aristotelian and scholastic logics are again increasingly discussed. And in early modern period new propositional calculi and extended syllogistics are discovered frequently, which pose challenges to interpretation.
In recent decades, however, researchers have often shown that there are old logics with enormous potential: numerous modern systems in the field of visual reasoning are based on the Aristotelian square of opposition, on the arbor porphyriana or on Euler's logic diagrams. In Arabic and islamic logic the consequence relations show alternatives to modern approaches. Today, Indian logic is often associated with paraconsistency and dialetheism and in the field of natural language processing, medieval logicians are increasingly used to circumvent the artificiality of algebraic logic. In modal logic, Aristotelian and scholastic logics are again increasingly discussed. And in early modern period new propositional calculi and extended syllogistics are discovered frequently, which pose challenges to interpretation.
SCHEDULE
SCHEDULE
WEDNESDAY, DECEMBER 11, 2019, MORNING - ANTIQUITY
WEDNESDAY, DECEMBER 11, 2019, MORNING - ANTIQUITY
- 9h30 10h00 Evandro Luis Gomes (Maringá) & Itala M. Loffredo D’Ottaviano (São Paulo) "Remarks Concerning the Notion of Semantic and Syntactic Contributions to the History of Logic"
- 9h30 10h00 Evandro Luis Gomes (Maringá) & Itala M. Loffredo D’Ottaviano (São Paulo) "Remarks Concerning the Notion of Semantic and Syntactic Contributions to the History of Logic"
- 10h00 10h30 Ioannes Vandoulakis (Thessaly), "Peripatetic vs. Neoplatonic Attitudes Towards Self-Reference"
- 10h00 10h30 Ioannes Vandoulakis (Thessaly), "Peripatetic vs. Neoplatonic Attitudes Towards Self-Reference"
- 10h30 11h00 Ryan Christensen (Brigham Young University), "The Model-Theoretic Square of Opposition"
- 10h30 11h00 Ryan Christensen (Brigham Young University), "The Model-Theoretic Square of Opposition"
11h00 11h30 COFFEE BREAK
11h00 11h30 COFFEE BREAK
- 11h30 12h30 KEYNOTE TALK Ingolf Max (Leipzig), "The Square of Opposition from 2-Dimensional Points of View"
- 11h30 12h30 KEYNOTE TALK Ingolf Max (Leipzig), "The Square of Opposition from 2-Dimensional Points of View"
WEDESDAY, DECEMBER 11, 2019, AFTERNOON - MEDIEVAL AND EARLY MODERN LOGIC
WEDESDAY, DECEMBER 11, 2019, AFTERNOON - MEDIEVAL AND EARLY MODERN LOGIC
- 14h30 15h00 Manuel Dahlquist (Santa Fe) & Luis Urtubey (Córdoba), "Self-Reference, Time and Paradox: A Problem in Buridan's Consequence Theory"
- 14h30 15h00 Manuel Dahlquist (Santa Fe) & Luis Urtubey (Córdoba), "Self-Reference, Time and Paradox: A Problem in Buridan's Consequence Theory"
- 15h00 15h30 Joshua Mendelsohn (Loyola University Chicago), "Robert Kilwardby and the Logic of Natural Contingency"
- 15h00 15h30 Joshua Mendelsohn (Loyola University Chicago), "Robert Kilwardby and the Logic of Natural Contingency"
- 15h30 16h00 Anderson Beraldo de Araújo (Federal University of ABC), "Aristotelian Heuristics for Causal Inference"
- 15h30 16h00 Anderson Beraldo de Araújo (Federal University of ABC), "Aristotelian Heuristics for Causal Inference"
16h00 16h30 COFFEE BREAK
16h00 16h30 COFFEE BREAK
- 16h30 17h00 Michael Pedroso (CNPq), "Eristic Dialectics: A Contribution for a Theory of Truth in Schopenhauer"
- 16h30 17h00 Michael Pedroso (CNPq), "Eristic Dialectics: A Contribution for a Theory of Truth in Schopenhauer"
- 17h00 17h30, Nicholas Currie (London), "Kant’s Conception of Logical Quantity"
- 17h00 17h30, Nicholas Currie (London), "Kant’s Conception of Logical Quantity"
THURSDAY, DECEMBER 12, 2019, MORNING - (EARLY) MODERN LOGIC
THURSDAY, DECEMBER 12, 2019, MORNING - (EARLY) MODERN LOGIC
- 10h00 10h30 Jens Lemanski (Hagen) & Fabien Schang (Goiás) & Ludger Jansen (Passau), "Bitstring Semantics and Natural Deduction for a 18th-c. Logic Machine"
- 10h00 10h30 Jens Lemanski (Hagen) & Fabien Schang (Goiás) & Ludger Jansen (Passau), "Bitstring Semantics and Natural Deduction for a 18th-c. Logic Machine"
- 10h30 11h00 Salvatore Roberto Arpaia (Bergamo), "Circularity and Anti-Foundation in Set Theory: History of Logic as a Source of New Relations Between Mathematics and Psychology"
- 10h30 11h00 Salvatore Roberto Arpaia (Bergamo), "Circularity and Anti-Foundation in Set Theory: History of Logic as a Source of New Relations Between Mathematics and Psychology"
11h00 11h30 COFFEE BREAK
11h00 11h30 COFFEE BREAK
- 11h30 12h00 Pascale Roure (Wuppertal), "Make Tradition Inventive. Freytag-Löringhoff’s Concept of Pure Logic and Its Reception at the University of Istanbul"
- 11h30 12h00 Pascale Roure (Wuppertal), "Make Tradition Inventive. Freytag-Löringhoff’s Concept of Pure Logic and Its Reception at the University of Istanbul"
AFTERMATH: Extended versions of selected full papers will be considered for publication in an edited book or a special issue.
AFTERMATH: Extended versions of selected full papers will be considered for publication in an edited book or a special issue.
CALL FOR PAPERS.
CALL FOR PAPERS.
Abstracts on all aspects of research in the history of logic and its modern interpretation are welcome. Here is a list of possible topics:
Abstracts on all aspects of research in the history of logic and its modern interpretation are welcome. Here is a list of possible topics:
- Aristotelian Logic
- Aristotelian Logic
- Stoic Logic
- Stoic Logic
- Neoplatonic Logic
- Neoplatonic Logic
- Indian Logic
- Indian Logic
- Arabic Logic
- Arabic Logic
- Medieval Logic
- Medieval Logic
- (Early) Modern Logic
- (Early) Modern Logic
- 19th/20th Logic
- 19th/20th Logic
SEND A ONE PAGE ABSTRACT TO jens.lemanski@fernuni-hagen.de BY OCTOBER 18, 2019.
SEND A ONE PAGE ABSTRACT TO jens.lemanski@fernuni-hagen.de BY OCTOBER 18, 2019.
Workshop Sponsored by
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