Philosophy of Mathematics Today by E Agazzi
Mathematics is often considered as a body of knowledge that is essen- tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. However, the question is not so simple, and P. Weingartner's paper (Language and Coding-Dependency of Results in Logic and Mathe- matics) deals with some results in logic and mathematics which reveal that certain notions are in general not invariant with respect to different choices of language and of coding processes. Five example are given: 1) The validity of axioms and rules of classical propositional logic depend on the interpretation of sentential variables; 2) The language- dependency of verisimilitude; 3) The proof of the weak and strong anti- inductivist theorems in Popper's theory of inductive support is not invariant with respect to limitative criteria put on classical logic; 4) The language-dependency of the concept of provability; 5) The language- dependency of the existence of ungrounded and paradoxical sentences (in the sense of Kripke). The requirements of logical rigour and consistency are not the only criteria for the acceptance and appreciation of mathematical proposi- tions and theories.-
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The Universe
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Basic Questions on Truth
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Diagnosis: Philosophical and Medical Perspectives
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Physics and Philosophy
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Correspondence Principle and Growth of Science
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Modern Uses of Multiple-Valued Logic
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Philosophy of Geometry from Riemann to Poincare
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The Logics of Preference
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Philosophy of Geometry from Riemann to Poincaré
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On Truth
Gyü¾¦˜¼rgy Darvas, PhD, physicist, philosopher http: //isa.symmetry.hu/members/darvasg/; director of Symmetrion http: //symmetry.hu/symmetrion/; retired from the H. Academy of Sciences and the R. Eü¾¦˜¼tvü¾¦˜¼s University, Budapest; editor, Symmetry: Culture and Science http: //journal-scs.symmetry.hu/editorial-boards/; founder, Intnl. Symmetry Association http: //isa.symmetry.hu/boards/. Main fields of interest: symmetries in physics, the sciences and the arts.
| SKU | Unavailable |
| ISBN 13 | 9780792343431 |
| ISBN 10 | 0792343433 |
| Title | Philosophy of Mathematics Today |
| Author | E Agazzi |
| Series | Episteme |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Kluwer Academic Publishers |
| Year published | 1996-11-30 |
| Number of pages | 361 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |