7715
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Mentalese isn't a language, because it isn't conventional, or a means of public communication [Lowe]
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Full Idea:
'Mentalese' would be neither conventional nor a means of public communication so that even to call it a language is seriously misleading.
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From:
E.J. Lowe (Locke on Human Understanding [1995], Ch.7)
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A reaction:
It is, however, supposed to contain symbolic representations which are then used as tokens for computation, so it seems close to a language, if (for example) symbolic logic or mathematics were accepted as languages. But who understands it?
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9144
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Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
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Full Idea:
Fine says creative definitions can found mathematics. His 'procedural postulationism' says one stipulates not truths, but certain procedures for extending a domain. The procedures can be stated without invoking an abstract ontology.
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From:
report of Kit Fine (The Limits of Abstraction [2002], 100) by R Cook / P Ebert - Notice of Fine's 'Limits of Abstraction' 4
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A reaction:
(For creative definitions, see Idea 9143) This sounds close in spirit to fictionalism, but with the emphasis on the procedure (which can presumably be formalized) rather than a pure act of imaginative creation.
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10141
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Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
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Full Idea:
Many different kinds of mathematical objects (natural numbers, the reals, points, lines, figures, groups) can be regarded as forms of abstraction, with special theories having their basis in a general theory of abstraction.
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From:
Kit Fine (The Limits of Abstraction [2002], I.4)
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A reaction:
This result, if persuasive, would be just the sort of unified account which the whole problem of abstact ideas requires.
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9142
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Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
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Full Idea:
Fine considers abstraction principles as instances of reconceptualization (rather than implicit definition, or using the Context Principle). This centres not on reference, but on new senses emerging from analysis of a given sense.
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From:
report of Kit Fine (The Limits of Abstraction [2002], 035) by R Cook / P Ebert - Notice of Fine's 'Limits of Abstraction' 2
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A reaction:
Fine develops an argument against this view, because (roughly) the procedure does not end in a unique result. Intuitively, the idea that abstraction is 'reconceptualization' sounds quite promising to me.
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