Apr 26th 2012, 3:52:06
Yes is a legitimate answer. If you accept Cantor's philosophy of mathematics, then the answer is yes.
No is a legitimate answer. If you accept Kronecker's philosophy of mathematics, then the answer is no.
Both Kronecker and Cantor were far better mathematicians than anyone here on AT. If you wish to make an informed decision on this question, please do research on the two differing philosophies of mathematics that quarreled with each other in the late 19th century. One of them is more commonly accepted than the other, but both are indeed valid philosophies. Modern day mathematicians respect both points of view, even if they choose to adhere to one of these views. Kronecker and Cantor are both highly respected.
Whether you answer yes or no, you are giving a correct answer. And those who chose the opposite answer from you are equally correct. And neither of you has anywhere near the mathematical understanding to comprehend why both of you have given valid answers. You likely won't even know which mathematician's philosophy is required to justify your answer.
But just for future reference - you're both right, and you're both idiots.
No is a legitimate answer. If you accept Kronecker's philosophy of mathematics, then the answer is no.
Both Kronecker and Cantor were far better mathematicians than anyone here on AT. If you wish to make an informed decision on this question, please do research on the two differing philosophies of mathematics that quarreled with each other in the late 19th century. One of them is more commonly accepted than the other, but both are indeed valid philosophies. Modern day mathematicians respect both points of view, even if they choose to adhere to one of these views. Kronecker and Cantor are both highly respected.
Whether you answer yes or no, you are giving a correct answer. And those who chose the opposite answer from you are equally correct. And neither of you has anywhere near the mathematical understanding to comprehend why both of you have given valid answers. You likely won't even know which mathematician's philosophy is required to justify your answer.
But just for future reference - you're both right, and you're both idiots.