Demonstrative and Non-Demonstrative Reasoning in Mathematics and Natural Science - Workshop

Demonstrative and Non-Demonstrative  Reasoning  in Mathematics and Natural Science

16-17 June, 2005

Villa Mirafiori

Via Carlo Fea, 2

00161 Rome


  1. Description

  2. Program

  3. The book: Demonstrative and Non-Demonstrative  Reasoning  in Mathematics and Natural Science. (2006, Cassino: Edizioni dell'Uniersità di Cassino).

  4. Organization



  • Descritpion


  • Program

  • Thursday 16th June 

Room II 

9.30-10.00: Opening

10.00-10.45: Volker Peckhaus (Universität Paderborn), Pre-Deductive Reasoning: From the Ars Inveniendi to the Context of Discovery 

10.45-11.00: Break 

11.00-11.45: Emily Grosholz (PennState University), Diagrams and Notation in Topology and Differential Geometry Textbooks: Revisiting 

the Labyrinth of the Continuum 

11.45-12.30: Lorenzo Magnani (Università di Pavia), Inferring through Doing: The Non Demonstrative Effect of External Representations 

12.30: General Discussion 


Room V 

15.00-15.45: Maurizio Ferriani (Università di Bologna), Peircean Abduction: Inference, Insight, or Heuristic Strategy? 

15.45-16.30: Cesare Cozzo (Università di Roma ‘La Sapienza’), A Critique of the Inference from Epistemological Holism to Meaning Holism 

16.30-16.45: Break 

16.45-17.30: Mirella Capozzi (Università di Roma ‘La Sapienza’), Kant on Heuristics as a Desirable Addition to Logic 

17.30-18.15: Elena Gagliasso (Università di Roma ‘La Sapienza’), Reasoning Styles in Population Genetics and in Ecology 

18.15: General Discussion 


  • Friday 17th June 

Room V 

9.30-10.15: Carlo Cellucci (Università di Roma ‘La Sapienza’), The Question Hume Didn’t Ask: Why Should We Accept Deductive Inferences? 

10.15-10.45: Paolo Pecere (Università di Cassino), Ether Proofs and the Possibility of Physics in Kant’s Late Thought 

10.45-11.00: Break 

11.00-11.30: Emiliano Ippoliti (Università di Roma ‘La Sapienza’), Demonstrative and Non-Demonstrative Aspects of Analogical Reasoning 

11.30-12.00: Pierluigi Graziani (Università di Roma ‘La Sapienza’), Another Look at Ancient Analytical-Synthetical Reasoning 

12.00: General Discussion 


Room V 

15.00-15.30: Valeria Giardino (Università di Roma ‘La Sapienza’), Proofs and Diagrams in Mathematics 

15.30-16.00: Vera Tripodi (Università di Roma ‘La Sapienza’), Singular Terms and Inferential Criteria 

16.00: General Discussion 


  • Scientific Committee

Carlo Cellucci

Emily Grosholz

Mirella Capozzi

Emiliano Ippoliti


  • Scientific Secretary

Emiliano Ippoliti


  • Support:

- La Sapienza Department of Philosphical and Epistemological Studies

- La Sapienza Ph.D. Program in Logic and Epistemology