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    The claim that a potentially infinite array of expression... — Carmelics
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    The claim that a potentially infinite array of expressions can be 'passed to' concrete sensory-motor and conceptual-intentional systems is problematic, because passing each one would require a potentially infinite amount of time.

    Philosophy of Language
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    2 reasons for
    1 reason against

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Chomsky's I-language is an internal computational system whose generative capacity is logically distinct from any physical performance system's temporal constraints.
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    • 2.The interface between I-language and sensory-motor systems is a mapping relation, not a sequential queuing process, so infinite generative capacity does not entail infinite processing time.
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    • 3.Marr's tri-level hypothesis establishes that computational-level descriptions (what is computed) are explanatorily independent of implementational-level facts (how long physical execution takes).
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    Reason for 2 of 2
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    • 1.Potential infinity, as distinguished by Aristotle and formalized in constructivist mathematics, denotes an unbounded but never-completed totality, requiring no actual infinite process to be instantiated.
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    • 2.A system with potential infinity of outputs commits only to the absence of a finite upper bound, not to the simultaneous or sequential actualization of all outputs, so no infinite time is entailed.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Sensory-motor and conceptual-intentional systems are concrete physical parts of the organism (muscles, nerves, articulatory organs, perceptual channels, neuronal activity).
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    • 2.Passing each expression from a potentially infinite array to such concrete systems would take a finite amount of time per expression.
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    • 3.Passing all expressions from a potentially infinite array would therefore require a potentially infinite amount of time.
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    Topics

    Philosophy of LanguageConsciousness & Mind

    Key Terms

    Array(referring to a collection of expressions)
    A collection or set of things arranged in some organized way.
    Conceptual-intentional systems(describing how your mind creates and understands concepts)
    The mental processes in your mind that form ideas and meanings, and direct your thoughts toward understanding things.
    Passed to(describing how expressions move between mental systems)
    Sent or transmitted from one system to another, like sending information from one place to another.
    Sensory-motor systems(describing how your body processes the world)
    The physical parts of your brain and body that receive information through your senses (sight, touch, etc.) and control your movements in response.
    potentially infinite(Applied to a continuous run that could be divided into Zeno's infinity of half-runs)
    A quantity or interval that could be divided into an actual infinity of parts, but has not been so divided.

    Connections

    2 topics

    Causation1 linkedModality & Possibility1 linked

    Related

    A system with potential infinity of outputs commits only to the absence of a fin...Chomsky's I-language is an internal computational system whose generative capaci...

    Source

    AI-extracted1/3 agreementValid
    SEP: linguistics
    View source passageHide passage
    But the sensory-motor and conceptual-intentional systems are concrete parts of the organism: muscles and nerves and articulatory organs and perceptual channels and neuronal activity. How can each one of a “potentially infinite array” be “passed to” such concrete systems without it taking a potentially infinite amount of time? HCF may mean that for any one of the expressions that FLN defines as well-formed (by generating it) there is a possibility of its being used as the basis for a pairing of s
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Marr's tri-level hypothesis establishes that computational-level descriptions (w...
    Passing all expressions from a potentially infinite array would therefore requir...
    +4 moreShow less
    Passing each expression from a potentially infinite array to such concrete syste...Potential infinity, as distinguished by Aristotle and formalized in constructivi...Sensory-motor and conceptual-intentional systems are concrete physical parts of ...The interface between I-language and sensory-motor systems is a mapping relation...

    Similar

    Passing each expression from a potentially infinite array to such conc...82%Passing all expressions from a potentially infinite array would theref...79%Human language does not necessarily yield a potentially infinite array...78%The discrete infinity posited by HCF (Hauser, Chomsky, Fitch) is more ...74%
    Type
    claim
    Perspectives
    3 (2 for, 1 against)
    Edits
    1 edit