Can Diagrams Have Epistemic Value? The Case of Euclid
نویسنده
چکیده
The tutorial will give attendees: – A firm grasp of an important debate in the history of ideas. – A logical framework within which to assess questions of diagrammatic justification. – Knowledge of some key philosophical arguments for and against the epistemic value of diagrams. – A deeper understanding of the nature of diagrammatic reasoning. 4 Content The Issue. Can diagrams have epistemic value? Can reasoning with diagrams confer knowledge or justify belief? These fundamental questions have been little studied outside the area of logical diagrams, in which the formal syntax of an adequately specified given system rules out the possibility that correctly interpreted
منابع مشابه
A novel risk-based analysis for the production system under epistemic uncertainty
Risk analysis of production system, while the actual and appropriate data is not available, will cause wrong system parameters prediction and wrong decision making. In uncertainty condition, there are no appropriate measures for decision making. In epistemic uncertainty, we are confronted by the lack of data. Therefore, in calculating the system risk, we encounter vagueness that we have to use ...
متن کاملEnsuring Generality in Euclid's Diagrammatic Arguments
This paper presents and compares FG and Eu, two recent formalizations of Euclid’s diagrammatic arguments in the Elements. The analysis of FG, developed by the mathematician Nathaniel Miller, and that of Eu, developed by the author, both exploit the fact that Euclid’s diagrammatic inferences depend only on the topology of the diagram. In both systems, the symbols playing the role of Euclid’s dia...
متن کاملA Corpus-based Analysis of Epistemic Stance Adverbs in Essays Written by Native English Speakers and Iranian EFL Learners
Academic essays entail taking a stance on the truth value of propositions. Epistemic adverbs deal with the speaker's assessment of the truth value of propositions. Employing a corpus-based approach with descriptive statistics and qualitative description, this study explored the use of epistemic stance adverbs in academic essays written by native English speakers and Iranian EFL learners. Follow...
متن کاملExtended Abstract of Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry
CENTER FOR THE STUDY OF LANGUAGE AND INFORMATION " We do not listen with the best regard to the verses of a man who is only a poet, nor to his problems if he is only an algebraist; but if a man is at once acquainted with the geometric foundation of things and with their festal splendor, his poetry is exact and his arithmetic musical. 1 Background In 1879, the English mathematician Charles Dodgs...
متن کاملTowards Symbolic Factual Change in DEL
We extend symbolic model checking for Dynamic Epistemic Logic (DEL) with factual change. Our transformers provide a compact representation of action models with preand postconditions, for both S5 and the general case. The method can be implemented using binary decision diagrams and we expect it to improve model checking performance. As an example we give a symbolic representation of the Sally-A...
متن کامل