Fai clic su di un'immagine per andare a Google Ricerca Libri.
Sto caricando le informazioni... The Philosophical Status of Diagramsdi Mark Greaves
Nessuno Sto caricando le informazioni...
Iscriviti per consentire a LibraryThing di scoprire se ti piacerà questo libro. Attualmente non vi sono conversazioni su questo libro. Nessuna recensione nessuna recensione | aggiungi una recensione
Appartiene alle SerieCSLI Lecture Notes (116)
The use of diagrams in logic and geometry has encountered resistance in recent years. For a proof to be valid in geometry, it must not rely on the graphical properties of a diagram. In logic, the teaching of proofs depends on sentenial representations, ideas formed as natural language sentences such as "If A is true and B is true...." No serious formal proof system is based on diagrams. This book explores the reasons why structured graphics have been largely ignored in contemporary formal theories of axiomatic systems. In particular, it elucidates the systematic forces in the intellectual history of mathematics which have driven the adoption of sentential representational styles over diagrammatic ones. In this book, the effects of historical forces on the evolution of diagrammatically-based systems of inference in logic and geometry are traced from antiquity to the early twentieth-century work of David Hilbert. From this exploration emerges an understanding that the present negative attitudes towards the use of diagrams in logic and geometry owe more to implicit appeals to their history and philosophical background than to any technical incompatibility with modern theories of logical systems. Non sono state trovate descrizioni di biblioteche |
Discussioni correntiNessuno
Google Books — Sto caricando le informazioni... VotoMedia: Nessun voto.Sei tu?Diventa un autore di LibraryThing. |