What is your answer?
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
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1 is wrong. Please try again.
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
No, although it is a priori, for Kant the concept of 12 is not contained in the concept of 7 + 5.
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2 is wrong. Please try again.
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
These characteristics make them a priori.
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3 is wrong. Please try again.
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
No, Kant wants to know how they are possible as a science.
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4 is wrong. Please try again.
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
No, for Kant it is synthetic. See p. 222.
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5 is correct!
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
Yes, being such a body would make it a science, but Kant thinks it is not so possible..
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6 is wrong. Please try again.
For Kant,
{ 1 } - the proposition 7 + 5 = 12 is analytic because it is a priori. See p. 222.
{ 2 } - mathematical propositions are never a priori, since they are necessary and underived from experience.
{ 3 } - the first critique is concerned to know whether mathematics and physics are possible as science.
{ 4 } - the proposition of physics that "in all material changes the quantity of matter remains unchanged" is a synthetic a posteriori statement.
{ 5 } - the first critique is concerned to know whether metaphysics is possible as a body of synthetic a priori statements.
{ 6 } - mathematical propositions are synthetic because they are always a priori.
No, being a priori does not make a proposition a priori; all analytic propositions are a priori.
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the end