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| Content Provider | Springer Nature Link |
|---|---|
| Author | Larvor, Brendan |
| Copyright Year | 2011 |
| Abstract | It is argued in this study that (i) progress in the philosophy of mathematical practice requires a general positive account of informal proof; (ii) the best candidate is to think of informal proofs as arguments that depend on their matter as well as their logical form; (iii) articulating the dependency of informal inferences on their content requires a redefinition of logic as the general study of inferential actions; (iv) it is a decisive advantage of this conception of logic that it accommodates the many mathematical proofs that include actions on objects other than propositions; (v) this conception of logic permits the articulation of project-sized tasks for the philosophy of mathematical practice, thereby supplying a partial characterisation of normal research in the field. |
| Starting Page | 715 |
| Ending Page | 730 |
| Page Count | 16 |
| File Format | |
| ISSN | 00397857 |
| Journal | Synthese |
| Volume Number | 187 |
| Issue Number | 2 |
| e-ISSN | 15730964 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2011-09-09 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Informal proof Mathematical practice Inferential action Argumentation theory Speech-act Epistemology Logic Philosophy of Science Metaphysics Philosophy of Language |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Social Sciences |
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