Honest Toil or Sheer Magic?
Identifieur interne : 006998 ( Main/Exploration ); précédent : 006997; suivant : 006999Honest Toil or Sheer Magic?
Auteurs : Alan Weir [Royaume-Uni]Source :
- Dialectica [ 0012-2017 ] ; 2007-03.
English descriptors
- KwdEn :
- Abstract objects, Abstraction principles, Additional premisses, Alan, Alan weir, Asteroid, Asteroid itokawa, Auxiliary hypotheses, Axiom, Background logic, Best explanation, Black holes, Boundary conditions, Carnap, Carnap conditionals, Carnap sentence, Causal structure, Clarendon press, Colloquial sense, Complex sentences, Comprehension scheme, Constant temptation, Constraint, Constructive nominalism, Ctional, Ctional discourse, Dialectica, Domain, Economic theory, Editorial board, Electrical charge, Empirical entities, Empirical meaning, Empirical theory, Empty domain, Existence theorems, Existential generalisation, Existential import, Existential introduction, Free logic, General form, Generalisation, Genie, George boolos, Hamish hamish, Henkin semantics, Ibid, Idealisation, Jacobite cause, Journal compilation, Logical basis, Logical framework, Mary mary, Mathematical entities, Mathematical knowledge, Mathematical language, Mathematical objects, Mathematical results, Mathematical truths, Minimalistic notion, Moderate realism, Natural language, Natural numbers, Naturalistic account, Next section, Nite, Nite number, Objective truths, Ontological commitment, Ontological commitments, Open court, Oxford university press, Piano sonata, Postulate, Postulation, Postulational, Postulational constraints, Postulational system, Postulationism, Postulationist, Predicate, Predicate expressions, Predicate position, Premiss, Procedural postulationalism, Procedural postulationism, Rational consumers, Semantic value, Sheer magic, Similar sort, Standard axioms, Such questions, Such truths, Theoretical terms, Universal domain, Unrestricted, Unrestricted domain, Urelements, Usual view, Weir.
- Teeft :
- Abstract objects, Abstraction principles, Additional premisses, Alan, Alan weir, Asteroid, Asteroid itokawa, Auxiliary hypotheses, Axiom, Background logic, Best explanation, Black holes, Boundary conditions, Carnap, Carnap conditionals, Carnap sentence, Causal structure, Clarendon press, Colloquial sense, Complex sentences, Comprehension scheme, Constant temptation, Constraint, Constructive nominalism, Ctional, Ctional discourse, Dialectica, Domain, Economic theory, Editorial board, Electrical charge, Empirical entities, Empirical meaning, Empirical theory, Empty domain, Existence theorems, Existential generalisation, Existential import, Existential introduction, Free logic, General form, Generalisation, Genie, George boolos, Hamish hamish, Henkin semantics, Ibid, Idealisation, Jacobite cause, Journal compilation, Logical basis, Logical framework, Mary mary, Mathematical entities, Mathematical knowledge, Mathematical language, Mathematical objects, Mathematical results, Mathematical truths, Minimalistic notion, Moderate realism, Natural language, Natural numbers, Naturalistic account, Next section, Nite, Nite number, Objective truths, Ontological commitment, Ontological commitments, Open court, Oxford university press, Piano sonata, Postulate, Postulation, Postulational, Postulational constraints, Postulational system, Postulationism, Postulationist, Predicate, Predicate expressions, Predicate position, Premiss, Procedural postulationalism, Procedural postulationism, Rational consumers, Semantic value, Sheer magic, Similar sort, Standard axioms, Such questions, Such truths, Theoretical terms, Universal domain, Unrestricted, Unrestricted domain, Urelements, Usual view, Weir.
Abstract
In this article I discuss the ‘procedural postulationist’ view of mathematics advanced by Kit Fine in a recent paper. I argue that he has not shown that this view provides an avenue to knowledge of mathematical truths, at least if such truths are objective truths. In particular, more needs to be said about the criteria which constrain which types of entities can be postulated. I also argue that his reliance on second‐order quantification means that his background logic is not free of ontological commitment and that his doctrine of ‘creative expansion’ only makes sense from a radically anti‐realist perspective.
Url:
DOI: 10.1111/j.1746-8361.2006.01076.x
Affiliations:
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conditionals</term><term>Carnap sentence</term><term>Causal structure</term><term>Clarendon press</term><term>Colloquial sense</term><term>Complex sentences</term><term>Comprehension scheme</term><term>Constant temptation</term><term>Constraint</term><term>Constructive nominalism</term><term>Ctional</term><term>Ctional discourse</term><term>Dialectica</term><term>Domain</term><term>Economic theory</term><term>Editorial board</term><term>Electrical charge</term><term>Empirical entities</term><term>Empirical meaning</term><term>Empirical theory</term><term>Empty domain</term><term>Existence theorems</term><term>Existential generalisation</term><term>Existential import</term><term>Existential introduction</term><term>Free logic</term><term>General form</term><term>Generalisation</term><term>Genie</term><term>George boolos</term><term>Hamish hamish</term><term>Henkin semantics</term><term>Ibid</term><term>Idealisation</term><term>Jacobite cause</term><term>Journal 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position</term><term>Premiss</term><term>Procedural postulationalism</term><term>Procedural postulationism</term><term>Rational consumers</term><term>Semantic value</term><term>Sheer magic</term><term>Similar sort</term><term>Standard axioms</term><term>Such questions</term><term>Such truths</term><term>Theoretical terms</term><term>Universal domain</term><term>Unrestricted</term><term>Unrestricted domain</term><term>Urelements</term><term>Usual view</term><term>Weir</term></keywords><keywords scheme="Teeft" xml:lang="en"><term>Abstract objects</term><term>Abstraction principles</term><term>Additional premisses</term><term>Alan</term><term>Alan weir</term><term>Asteroid</term><term>Asteroid itokawa</term><term>Auxiliary hypotheses</term><term>Axiom</term><term>Background logic</term><term>Best explanation</term><term>Black holes</term><term>Boundary conditions</term><term>Carnap</term><term>Carnap conditionals</term><term>Carnap sentence</term><term>Causal structure</term><term>Clarendon press</term><term>Colloquial sense</term><term>Complex sentences</term><term>Comprehension scheme</term><term>Constant temptation</term><term>Constraint</term><term>Constructive nominalism</term><term>Ctional</term><term>Ctional discourse</term><term>Dialectica</term><term>Domain</term><term>Economic theory</term><term>Editorial board</term><term>Electrical charge</term><term>Empirical entities</term><term>Empirical meaning</term><term>Empirical theory</term><term>Empty domain</term><term>Existence theorems</term><term>Existential generalisation</term><term>Existential import</term><term>Existential introduction</term><term>Free logic</term><term>General form</term><term>Generalisation</term><term>Genie</term><term>George boolos</term><term>Hamish hamish</term><term>Henkin semantics</term><term>Ibid</term><term>Idealisation</term><term>Jacobite cause</term><term>Journal compilation</term><term>Logical basis</term><term>Logical framework</term><term>Mary mary</term><term>Mathematical entities</term><term>Mathematical knowledge</term><term>Mathematical language</term><term>Mathematical objects</term><term>Mathematical results</term><term>Mathematical truths</term><term>Minimalistic notion</term><term>Moderate realism</term><term>Natural language</term><term>Natural numbers</term><term>Naturalistic account</term><term>Next section</term><term>Nite</term><term>Nite number</term><term>Objective truths</term><term>Ontological commitment</term><term>Ontological commitments</term><term>Open court</term><term>Oxford university press</term><term>Piano sonata</term><term>Postulate</term><term>Postulation</term><term>Postulational</term><term>Postulational constraints</term><term>Postulational system</term><term>Postulationism</term><term>Postulationist</term><term>Predicate</term><term>Predicate expressions</term><term>Predicate position</term><term>Premiss</term><term>Procedural postulationalism</term><term>Procedural postulationism</term><term>Rational consumers</term><term>Semantic value</term><term>Sheer magic</term><term>Similar sort</term><term>Standard axioms</term><term>Such questions</term><term>Such truths</term><term>Theoretical terms</term><term>Universal domain</term><term>Unrestricted</term><term>Unrestricted domain</term><term>Urelements</term><term>Usual view</term><term>Weir</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this article I discuss the ‘procedural postulationist’ view of mathematics advanced by Kit Fine in a recent paper. I argue that he has not shown that this view provides an avenue to knowledge of mathematical truths, at least if such truths are objective truths. In particular, more needs to be said about the criteria which constrain which types of entities can be postulated. I also argue that his reliance on second‐order quantification means that his background logic is not free of ontological commitment and that his doctrine of ‘creative expansion’ only makes sense from a radically anti‐realist perspective.</div></front></TEI><affiliations><list><country><li>Royaume-Uni</li></country><region><li>Écosse</li></region><settlement><li>Glasgow</li></settlement><orgName><li>Université de Glasgow</li></orgName></list><tree><country name="Royaume-Uni"><region name="Écosse"><name sortKey="Weir, Alan" sort="Weir, Alan" uniqKey="Weir A" first="Alan" last="Weir">Alan Weir</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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