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- Autorius: Ludwig Wittgenstein
- Leidėjas: The University of Chicago Press
- Metai: 2027
- Puslapiai: 432
- ISBN-10: 0226841065
- ISBN-13: 9780226841069
- Kalba: Anglų
Atsiliepimai
Aprašymas
The second of five planned volumes, this book collects Wittgenstein's unabridged writings on mathematics and logic composed between 1939 and 1941.
In 1956, a significant but abridged portion of Ludwig Wittgenstein's 1937-1944 writings for a continuation of what became Philosophical Investigations was published as Remarks on the Foundations of Mathematics. Now, in these five German-English facing-page volumes, the writings of Remarks on Mathematics and Logic are presented in full as Wittgenstein wrote them: in chronological order, without editorial omissions, selections, or rearrangements.Volume III contains materials from 1939 to 1941, including previously unpublished--one manuscript and four manuscript parts--and one manuscript from which selections were made for previous abridgements.
The topics covered in this volume include surveyability and perspicuity in mathematics; Cantor and Gödel; Russellian logicism; geometrical cogency of proofs; consensus as part of the phenomenon of our calculating; rule-following and unwinding; consistency proofs; calculation as invention rather than discovery; superstitious fear of contradictions; why mathematicians cannot philosophize about mathematics; mathematical propositions are overdetermined; the idea of a mathematical reality; the connection between the sense of a mathematical proposition and its use; positioning a proposition in a system; an unproved mathematical proposition as the expression of a problem; the role of mathematical propositions in descriptions (of reality).
This edition will be the authoritative source for Wittgenstein's writings in their original context.
- Autorius: Ludwig Wittgenstein
- Leidėjas: The University of Chicago Press
- Metai: 2027
- Puslapiai: 432
- ISBN-10: 0226841065
- ISBN-13: 9780226841069
- Kalba: Anglų
The second of five planned volumes, this book collects Wittgenstein's unabridged writings on mathematics and logic composed between 1939 and 1941.
In 1956, a significant but abridged portion of Ludwig Wittgenstein's 1937-1944 writings for a continuation of what became Philosophical Investigations was published as Remarks on the Foundations of Mathematics. Now, in these five German-English facing-page volumes, the writings of Remarks on Mathematics and Logic are presented in full as Wittgenstein wrote them: in chronological order, without editorial omissions, selections, or rearrangements.Volume III contains materials from 1939 to 1941, including previously unpublished--one manuscript and four manuscript parts--and one manuscript from which selections were made for previous abridgements.
The topics covered in this volume include surveyability and perspicuity in mathematics; Cantor and Gödel; Russellian logicism; geometrical cogency of proofs; consensus as part of the phenomenon of our calculating; rule-following and unwinding; consistency proofs; calculation as invention rather than discovery; superstitious fear of contradictions; why mathematicians cannot philosophize about mathematics; mathematical propositions are overdetermined; the idea of a mathematical reality; the connection between the sense of a mathematical proposition and its use; positioning a proposition in a system; an unproved mathematical proposition as the expression of a problem; the role of mathematical propositions in descriptions (of reality).
This edition will be the authoritative source for Wittgenstein's writings in their original context.
Atsiliepimai