What is your answer?

Kant thought

    { 1 } - like Leibniz, that geometry could be proved analytically with definitions and the principle of non-contradiction.
    { 2 } - like Plato, we have intuitions of "mathematical objects."
    { 3 } - like Bertrand Russell, that mathematics is analytic and reducible to logic.
    { 4 } - the axioms of geometry gave insight into the nature of time.
    { 5 } - the a priori character of mathematics proved his theory of space and time.

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Directions: Click on a number from 1 to 5.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























1 is wrong. Please try again.

Kant thought

No, see p. 243.

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2 is wrong. Please try again.

Kant thought

    { 1 } - like Leibniz, that geometry could be proved analytically with definitions and the principle of non-contradiction.
    { 2 } - like Plato, we have intuitions of "mathematical objects."
    { 3 } - like Bertrand Russell, that mathematics is analytic and reducible to logic.
    { 4 } - the axioms of geometry gave insight into the nature of time.
    { 5 } - the a priori character of mathematics proved his theory of space and time.

No, he did not think this, and it is not clear that Plato thought it either.

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3 is wrong. Please try again.

Kant thought

    { 1 } - like Leibniz, that geometry could be proved analytically with definitions and the principle of non-contradiction.
    { 2 } - like Plato, we have intuitions of "mathematical objects."
    { 3 } - like Bertrand Russell, that mathematics is analytic and reducible to logic.
    { 4 } - the axioms of geometry gave insight into the nature of time.
    { 5 } - the a priori character of mathematics proved his theory of space and time.

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4 is wrong. Please try again.

Kant thought

    { 1 } - like Leibniz, that geometry could be proved analytically with definitions and the principle of non-contradiction.
    { 2 } - like Plato, we have intuitions of "mathematical objects."
    { 3 } - like Bertrand Russell, that mathematics is analytic and reducible to logic.
    { 4 } - the axioms of geometry gave insight into the nature of time.
    { 5 } - the a priori character of mathematics proved his theory of space and time.

No, he thought they give insight into the nature of space.

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5 is correct!

Kant thought

    { 1 } - like Leibniz, that geometry could be proved analytically with definitions and the principle of non-contradiction.
    { 2 } - like Plato, we have intuitions of "mathematical objects."
    { 3 } - like Bertrand Russell, that mathematics is analytic and reducible to logic.
    { 4 } - the axioms of geometry gave insight into the nature of time.
    { 5 } - the a priori character of mathematics proved his theory of space and time.

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Before continuing, you might try some wrong answers.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























the end