<i>Kant and Strawson on the Content of Geometrical Concepts</i><sup>1</sup>

Dunlop, Katherine

doi:10.1111/j.1468-0068.2011.00827.x

Cited by 27 publications

(3 citation statements)

References 42 publications

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“…11. To my knowledge, the only commentator who acknowledges the importance of this context for understanding Kant's example is Katherine Dunlop (2012).…”

Section: Empirical Schemata Spatiotemporal Form and The System Of Naturementioning

confidence: 99%

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

Williams¹

2020

HOPOS: The Journal of the International Society for the History

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“…11. To my knowledge, the only commentator who acknowledges the importance of this context for understanding Kant's example is Katherine Dunlop (2012).…”

Section: Empirical Schemata Spatiotemporal Form and The System Of Naturementioning

confidence: 99%

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

Williams¹

2020

HOPOS: The Journal of the International Society for the History

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“…On the importance of Kant's conception of mathematical method, see Shabel (2006) and Hintikka (1965Hintikka ( , 1967 cited as reprinted in Hintikka 1974). On his theory of definition, see Capozzi (1981) and Dunlop (2012). Carson (1999) is a thorough account of the continuities between the Prize Essay and the first Critique.…”

Section: Notesmentioning

confidence: 99%

Arbitrary combination and the use of signs in mathematics: Kant’s 1763 Prize Essay and its Wolffian background

Dunlop

2014

Can. J. of Philosophy

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In his 1763 Prize Essay, Kant is thought to endorse a version of formalism on which mathematical concepts need not apply to extramental objects. Against this reading, I argue that the Prize Essay has sufficient resources to explain how the objective reference of mathematical concepts is secured. This account of mathematical concepts’ objective reference employs material from Wolffian philosophy. On my reading, Kant’s 1763 view still falls short of his Critical view in that it does not explain the universal, unconditional applicability of mathematical concepts.

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“…On the other hand, Kant interpreters have been expanding their investigations beyond the widely discussed questions of the syntheticity of geometrical axioms and proofs to look at a wider range of topics within Kant’s philosophy of mathematics. Recent investigations have taken on Kant’s theory of mathematical postulates (Laywine 1998, 2010), Kant’s conception of the mathematical method (Carson 1999, 2006) and Kant’s theory of geometrical concepts and definitions (Dunlop 2012). This paper builds on these trends to give a contextualized reading of Kant’s theory of real definitions in geometry.…”

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Kant (vs. Leibniz, Wolff and Lambert) on real definitions in geometry

Heis

2014

Can. J. of Philosophy

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This paper gives a contextualized reading of Kant’s theory of real definitions in geometry. Though Leibniz, Wolff, Lambert and Kant all believe that definitions in geometry must be ‘real’, they disagree about what a real definition is. These disagreements are made vivid by looking at two of Euclid’s definitions. I argue that Kant accepted Euclid’s definition of circle and rejected his definition of parallel lines because his conception of mathematics placed uniquely stringent requirements on real definitions in geometry. Leibniz, Wolff and Lambert thus accept definitions that Kant rejects because they assign weaker roles to real definitions.

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Kant and Strawson on the Content of Geometrical Concepts¹

Cited by 27 publications

References 42 publications

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

Arbitrary combination and the use of signs in mathematics: Kant’s 1763 Prize Essay and its Wolffian background

Kant (vs. Leibniz, Wolff and Lambert) on real definitions in geometry

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Kant and Strawson on the Content of Geometrical Concepts1

Cited by 27 publications

References 42 publications

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

“The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature

Arbitrary combination and the use of signs in mathematics: Kant’s 1763 Prize Essay and its Wolffian background

Kant (vs. Leibniz, Wolff and Lambert) on real definitions in geometry

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Kant and Strawson on the Content of Geometrical Concepts¹