What is your answer?

Kant thought that

    { 1 } - geometry can be reduced to the principle of non-contradiction.
    { 2 } - geometry was analytic.
    { 3 } - there is a contradiction in the concept of a figure which is enclosed within two straight lines.
    { 4 } - space was Euclidean space and geometry was Euclidean geometry. See p. 245.
    { 5 } - space was Riemannian space and geometry was Riemannian geometry.

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Directions: Click on a number from 1 to 5.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























1 is wrong. Please try again.

Kant thought that

That would make geometrical propositions analytic, which he did not think it was. See p. 245

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2 is wrong. Please try again.

Kant thought that

    { 1 } - geometry can be reduced to the principle of non-contradiction.
    { 2 } - geometry was analytic.
    { 3 } - there is a contradiction in the concept of a figure which is enclosed within two straight lines.
    { 4 } - space was Euclidean space and geometry was Euclidean geometry. See p. 245.
    { 5 } - space was Riemannian space and geometry was Riemannian geometry.

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3 is wrong. Please try again.

Kant thought that

    { 1 } - geometry can be reduced to the principle of non-contradiction.
    { 2 } - geometry was analytic.
    { 3 } - there is a contradiction in the concept of a figure which is enclosed within two straight lines.
    { 4 } - space was Euclidean space and geometry was Euclidean geometry. See p. 245.
    { 5 } - space was Riemannian space and geometry was Riemannian geometry.

No, that would make this geometrical proposition analytic for him, which he did not think it was.

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4 is correct!

Kant thought that

    { 1 } - geometry can be reduced to the principle of non-contradiction.
    { 2 } - geometry was analytic.
    { 3 } - there is a contradiction in the concept of a figure which is enclosed within two straight lines.
    { 4 } - space was Euclidean space and geometry was Euclidean geometry. See p. 245.
    { 5 } - space was Riemannian space and geometry was Riemannian geometry.

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Before continuing, you might try some wrong answers.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























5 is wrong. Please try again.

Kant thought that

    { 1 } - geometry can be reduced to the principle of non-contradiction.
    { 2 } - geometry was analytic.
    { 3 } - there is a contradiction in the concept of a figure which is enclosed within two straight lines.
    { 4 } - space was Euclidean space and geometry was Euclidean geometry. See p. 245.
    { 5 } - space was Riemannian space and geometry was Riemannian geometry.

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