概念空間

概念空間是代表若干性質維度的幾何結構，可表示能夠放在一起比較的概念和對象之基本特徵，例如重量、顏色、味道、溫度、間距和三個常規空間維度。^[1] ^[2] ^:4在概念空間中，點表示對象，區域表示概念。概念空間理論是彼得·加登佛斯（PeterGärdenfors）最早提出的概念學習理論，^[3] ^[4] ^[5] 受到概念相似性和原型理論等觀念所啟發。

該理論還提出了「自然類別是概念空間中的凸區域」的概念 ^[1] ^:5 在那種情況下，如果 $x$ 和 $y$ 是類別的元素，且 $z$ 位於 $x$ 和 $y$ 之間，那麼 $z$ 也可能屬於該類別。概念凸性可讓區域焦點被解釋為類別原型。在更一般的理論陳述中，概念是根據其原型的概念相似性來定義的。

參見

參考資料

^ ^1.0 ^1.1 Zenker, Frank; Gärdenfors, Peter (編). Applications of conceptual spaces: the case for geometric knowledge representation. Synthese library: studies in epistemology, logic, methodology, and philosophy of science 359. Cham: Springer-Verlag. 2015. ISBN 3319150200. OCLC 907771045.
^ Kriegeskorte, N., & Kievit, R. A. (2013). Representational geometry: Integrating cognition, computation, and the brain. Trends in Cognitive Sciences, 17(8), 401–412. http://doi.org/10.1016/j.tics.2013.06.007
^ Gärdenfors, Peter. Conceptual spaces: the geometry of thought. Cambridge, Massachusetts: MIT Press. 2000. ISBN 0262071991. OCLC 42389577.
^ Gärdenfors, Peter. Geometry of meaning: semantics based on conceptual spaces. Cambridge, Massachusetts: MIT Press. 2014. ISBN 9780262026789. OCLC 854541601.
^ Foo, N. (2001). Conceptual Spaces—The Geometry of Thought. AI Magazine, 22(1), 139–140. Retrieved from https://www.aaai.org/ojs/index.php/aimagazine/article/viewPDFInterstitial/1554/1453%5Cnpapers2://publication/uuid/4FC4A7BC-BD5B-4448-8B19-B42DCA4480EE （頁面存檔備份，存於互聯網檔案館）

[ZenkerGärdenfors2015-1] 1.0 ^1.1 Zenker, Frank; Gärdenfors, Peter (編). Applications of conceptual spaces: the case for geometric knowledge representation. Synthese library: studies in epistemology, logic, methodology, and philosophy of science 359. Cham: Springer-Verlag. 2015. ISBN 3319150200. OCLC 907771045.

[Kriegeskorte2013-2] Kriegeskorte, N., & Kievit, R. A. (2013). Representational geometry: Integrating cognition, computation, and the brain. Trends in Cognitive Sciences, 17(8), 401–412. http://doi.org/10.1016/j.tics.2013.06.007

[3] Gärdenfors, Peter. Conceptual spaces: the geometry of thought. Cambridge, Massachusetts: MIT Press. 2000. ISBN 0262071991. OCLC 42389577.

[4] Gärdenfors, Peter. Geometry of meaning: semantics based on conceptual spaces. Cambridge, Massachusetts: MIT Press. 2014. ISBN 9780262026789. OCLC 854541601.

[Foo2001-5] Foo, N. (2001). Conceptual Spaces—The Geometry of Thought. AI Magazine, 22(1), 139–140. Retrieved from https://www.aaai.org/ojs/index.php/aimagazine/article/viewPDFInterstitial/1554/1453%5Cnpapers2://publication/uuid/4FC4A7BC-BD5B-4448-8B19-B42DCA4480EE （頁面存檔備份，存於互聯網檔案館）

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