数える限界:進化と文化の間の数学的認知
Sieghard Beller1, Andrea Bender
1Department of Psychology, University of Freiburg, D-79085 Freiburg, Germany.
まとめ
複雑な数学的認知には,無限の数えるシーケンスが必要です. この研究は,抽象的なシーケンスから進化したいくつかの短い,オブジェクト固有のカウントシステムが,計算のための認知上の利点を提供していることを明らかにしています.
科学分野:
- コグニティブ・サイエンス コグニティブ・サイエンス
- 言語学 言語学とは
- アントロポロジー (人類学)
背景:
- 抽象的な数学的認知は,無限に数える能力に依存しています.
- 短い数列またはオブジェクト特異的な数列は,しばしば数値システムの進化の少ない段階と見なされます.
研究 の 目的:
- 短い数列またはオブジェクト固有の数列の起源と認知的影響を調査する.
- これらのシーケンスが数学的進化の初期の段階を表すという見解に異議を唱えるため.
主な方法:
- メラネシアとポリネシアのカウントシーケンスの分析.
- 比較言語学と認知分析. 比較言語学と認知分析.
主要な成果:
- メラネシアとポリネシアの短い/対象特有のカウントシーケンスは,広範で抽象的なシーケンスから生じた.
- オブジェクト固有のシーケンスにより,より大きな単位を使用し,数を短縮し,数値の制限を拡張することで,非表記的な計算のための認知上の利点を提供します.
結論:
- 数字システムの進化は,これまで考えられていたよりも複雑です.
- オブジェクト固有のカウントシステムは,数学的認知と計算能力を向上させ,認知的に有利である可能性があります.
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