Tabla de Contenidos:
  • A Sociologist among Logicians 2
  • Observing Demonstrations 4
  • A Necessarily Detailed Analytic Account 7
  • Grasping the Emergence of a Logical Theorem 8
  • Accessing the Specialized Skills of Workers in Logic 12
  • Part 1 Accessing the World of Producers of Logical Statements 15
  • Chapter 1 How Can We Grasp What Logic-Makers Do? Questions Raised in the Human Sciences and Philosophy about Logic and Mathematics 17
  • Do Researchers in Logic Invoke Ideal Principles? 18
  • How Do Multiple Social Actors Put Forward Various Definitions and Practices of Logic? 20
  • Questions Raised by Certain Works in the Social History of Mathematics 24
  • Can Institutional Sociology Account for the Ways in Which Research in Mathematics Is Carried Out? 24
  • Can One Grasp the Role of Networks of Actors and Practices in the Production of a Theorem? 31
  • What Role Does the Scale of Adoption of Specific Practices of Demonstration Play in the Dynamics of Recognition of a Result? 33
  • Can the Analysis of Demonstrative Practices Be Inscribed Solely within the Framework of the History of a Scientific Discipline? 36
  • What Demonstrative Resources Are Used for What Recognition? 40
  • Questions Raised by Some Studies That Focus on, or Formulate a Research Program to Address, Practices in Logic 44
  • Chapter 2 Spaces and Tools for Exchange 55
  • Preliminary Information about the Way an Electronic Forum Works 55
  • Shared Skills in Logic 59
  • Part 2 Practices of De-Monstration: Debating a Theorem in an Electronic Forum 75
  • Chapter 3 Bringing to Light: Demonstration Put to the Test of Antagonistic Logical Practices 77
  • The Formal Presentation of a Demonstration Does Not Lead Automatically to Consensus 77
  • The Absence of Universally Recognized Central Logical Principles 77
  • The Heterogeneity of Ways of Doing Logic 83
  • The Use Values of Demonstrations 93
  • De-monstrating and Appearing 96
  • The Practice of Substituting Proofs 96
  • Making Logical Principles Appear and Disappear in Demonstrations 98
  • Making Certain De-monstrations Maximally Visible 109
  • Chapter 4 Evaluating the Correctness of a Theorem and the Properties of a Logic at the Intersection between Several De-monstrative Modes 116
  • Bringing to the Fore the Properties of a Logical System in Technological Devices in Order to Cast Doubt on the Correctness of a Proof 116
  • Personalizing the Debates in Order to Evaluate the Correctness of a Theorem 125
  • Trying to Neutralize a Proof by Invoking General Antagonisms 127
  • Contesting a Proof and Defending Logical Properties by Evoking a Cultural Specificity 136
  • Part 3 Mediations Used to Advance a Logical Theorem 149
  • Chapter 5 Accompanying De-monstrations: The Publication of a De-monstration at the Heart of the Action of Groups of Actors 151
  • How One and the Same De-monstration Can Be Rejected and Then Accepted for Publication 151
  • From De-monstration to Publication: The Importance of Interactions 161
  • Elkan's Proof and the Conference Paper Selection Process 171
  • Chapter 6 Federating a Counter-De-monstration or Producing Hand-Tailored Responses 187
  • Producing More Stable and Visible Responses, in Limited Number 187
  • The Formation and Use of Sedimented Repertories of De-monstration 198
  • Advancing Adaptive, Polysemic, and Differentiated De-monstrations 204
  • Chapter 7 The Emergence of a Quasi-Object and a Collective Statement 211
  • Recourse to Tacit Manipulations: De-monstration as a Quasi-Object 211
  • Defending a Proof by Reformulating It 217
  • Nuances and Precautions 218
  • A Polysemic Textual Device to Stabilize Debates 221
  • The Successive Versions of a Proof: Records of Negotiations 233
  • De-monstrations Serving to Stabilize a Controversy 237
  • Federating and Stabilizing Positions and Thereby Helping to Marginalize the Adversary 238
  • Devices of Reiteration and Reference Contributing to a Stabilization of the Debates 244
  • Conclusion: A Sociology of the Practices of De-monstration 250
  • Destylizing the Unfolding of Debates in Logic 250
  • Following the Production of Certified Knowledge in Logic 253
  • Observing the Work of De-monstration 256
  • Logic and Sociology 259
  • Toward a Social and Material History of Forms of De-monstration 266.