Reduction - Abstraction - Analysis
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Edited by:
Alexander Hieke
and Hannes Leitgeb
About this book
Philosophers often have tried to either reduce "disagreeable" objects or concepts to (more) acceptable objects or concepts. Reduction is regarded attractive by those who subscribe to an ideal of ontological parsimony. But the topic is not just restricted to traditional metaphysics or ontology. In the philosophy of mathematics, abstraction principles, such as Hume's principle, have been suggested to support a reconstruction of mathematics by logical means only. In the philosophy of language and the philosophy of science, the logical analysis of language has long been regarded to be the dominating paradigm, and liberalized projects of logical reconstruction remain to be driving forces of modern philosophy.
This volume collects contributions comprising all those topics, including articles by Alexander Bird, Jaakko Hintikka, James Ladyman, Rohit Parikh, Gerhard Schurz, Peter Simons, Crispin Wright and Edward N. Zalta.
Topics
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Frontmatter
i -
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Introduction
v -
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Table of Contents
vii - I. Reduction
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A PROOF OF NOMINALISM: AN EXERCISE IN SUCCESSFUL REDUCTION IN LOGIC
1 -
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PRESERVATION OF EMPIRICAL SUCCESS AND INTERTHEORETICAL CORRESPONDENCE: JUSTIFYING REALISM WITHOUT THE NO MIRACLES ARGUMENT
15 -
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EMPIRICAL ADEQUACY AND RAMSIFICATION, II
29 -
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ELIMINATING MODALITY FROM THE DETERMINISM DEBATE? MODELS VS. EQUATIONS OF PHYSICAL THEORIES
47 -
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DETERMINISTIC VERSUS INDETERMINISTIC DESCRIPTIONS: NOT THAT DIFFERENT AFTER ALL?
63 -
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THE “MULTIREALIZATION” OF MULTIPLE REALIZABILITY
79 -
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PESSIMISTIC META-INDUCTION AND THE EXPONENTIAL GROWTH OF SCIENCE
95 -
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WEAK PHYSICALISM AND SPECIAL SCIENCE ONTOLOGY
113 -
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ARE NATURAL KINDS REDUCIBLE?
127 -
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ONTIC GENERATION: GETTING EVERYTHING FROM THE BASICS
137 -
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WHAT REDUCTIONISTS BELIEVE IN
153 -
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SUPERVENIENCE AND MORAL REALISM
163 -
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ALTERNATIVE REDUCTIONS FOR DYNAMIC DEONTIC LOGICS
179 - II. Abstraction
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THE METAPHYSICS AND EPISTEMOLOGY OF ABSTRACTION
195 -
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HOW ABSTRACTION WORKS
217 -
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THIN OBJECTS
227 -
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RUSSELL’S MANY POINTS
239 -
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FROM DESCRIPTIVE FUNCTIONS TO SETS OF ORDERED PAIRS
259 -
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DIAGONALIZATION, THE LIAR PARADOX, AND THE INCONSISTENCY OF THE FORMAL SYSTEM PRESENTED IN THE APPENDIX TO FREGE’S GRUNDGESETZE: VOLUME II
273 -
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A PROBLEM AND A SOLUTION FOR NEO-FREGEANISM
289 -
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ED ZALTA’S VERSION OF NEO-LOGICISM – A FRIENDLY LETTER OF COMPLAINT
305 -
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REPLY TO P. EBERT AND M. ROSSBERG’S FRIENDLY LETTER OF COMPLAINT
311 - III. Analysis
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ON THE BENEFITS OF A REDUCTION OF MODAL PREDICATES TO MODAL OPERATORS
323 -
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CALCULI OF INDIVIDUALS AND SOME EXTENSIONS: AN OVERVIEW
335 -
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DEFINITE DESCRIPTIONS: LANGUAGE, LOGIC, AND ELIMINATION
355 -
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FROM LANGUAGE GAMES TO SOCIAL SOFTWARE
365 -
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ON THE RELATION BETWEEN GAMES IN EXTENSIVE FORM AND GAMES IN STRATEGIC FORM
377 -
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TWO ACCOUNTS OF SIMILARITY COMPARED
389 -
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CONTEXTUALISM, RELATIVISM, AND FACTIVITY. ANALYZING ‘KNOWLEDGE’ AFTER THE NEW LINGUISTIC TURN IN EPISTEMOLOGY
403 -
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Backmatter
417
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