 |
|
|
Item Details
| Title:
|
EPISTEMOLOGY VERSUS ONTOLOGY
ESSAYS ON THE PHILOSOPHY AND FOUNDATIONS OF MATHEMATICS IN HONOUR OF PER MARTIN-LOF |
| By: |
Sten Lindstrom (Editor), Peter Dybjer (Editor), Erik Palmgren (Editor) |
| Format: |
Hardback |
| List price:
|
£139.99 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
940074434X |
| ISBN 13: |
9789400744349 |
| Publisher: |
SPRINGER |
| Pub. date: |
11 July, 2012 |
| Edition: |
2012 ed. |
| Series: |
Logic, Epistemology, and the Unity of Science 27 |
| Pages: |
388 |
| Translated from: |
English |
| Description: |
This book brings together philosophers, mathematicians and logicians to explore important problems in the philosophy and foundations of mathematics. Contrasts classical logic and set theory with predicativistic constructivism based on Martin-Lof type theory. |
| Synopsis: |
This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued today is predicativistic constructivism based on Martin-Lof type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Lof. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Lof and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics? |
| Illustrations: |
XXVIII, 388 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
Little Worried Caterpillar (PB)
Little Green knows she''s about to make a big change - transformingfrom a caterpillar into a beautiful butterfly. Everyone is VERYexcited! But Little Green is VERY worried. What if being a butterflyisn''t as brilliant as everyone says?Join Little Green as she finds her own path ... with just a littlehelp from her friends.
|
|
All the Things We Carry PB
What can you carry?A pebble? A teddy? A bright red balloon? A painting you''ve made?A hope or a dream?This gorgeous, reassuring picture book celebrates all the preciousthings we can carry, from toys and treasures to love and hope. With comforting rhymes and fabulous illustrations, this is a warmhug of a picture book.
|
|
|
|