Is math based on observations?

  • Thread starter EL
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  • #26
EL, how do you know definition of any word you use, especially 'intuition'?
 
  • #27
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One more thing:

It is a same for us the mathematician that always when we come to that blinded point of what we are really doing we say “ This is Philosophy and not mathematics”.

Philosophy is the reall thing in life and mathematic is only a child of philosophy that will never grow up if we will not answer to that question correctly one day.

Moshek
 
  • #28
matt grime
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Moshek, when you bother explaining what you mean by always prefacing the word mathematics with Euclidean perhaps then I will talk to you about mathematics.... As it is I find it hard to decipher the meaning of you words.

Addition: why must we presume that because Einstein said that we must questions LIKE a child (about relativity) that he implied that we must do so in investigating everything, or that every question so asked would be beneficial? Or for that matter why do you think his simile and mine have the same meaning?
 
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  • #29
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Dear Matt, thank you for the sharing. when I write "Euclidian mathematics" I mean a theory in mathematics which is base on some set of axioms and theorems which are logical conclusion from these axioms.

Do I clear more now ?
 
  • #30
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I just see you addition about Einstein that you edit.
So i will answer to you for that just after you will answer my last replay for you.
 
  • #31
matt grime
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So, when you say Euclidean mathematics, you just mean mathematics.
 
  • #32
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Matt: Is this is a question that you ask me, or what ?
 
  • #33
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The very fact that the totality of our sense experience is such that by means of thinking ... it can be put in order, this fact is one which leaves us in awe, but which we shall never understand. One may say "the eternal mystery of the world is its comprehensibility". Immanual Kant

"The miracle of appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve." Wigner

"At this point an enigma presents itself which in all
ages has agitated inquiring minds. How can it be that
mathematics, being after all a product of human thought
which is independent of experience, is so admirably
appropriate to the objects of reality? Is human reason,
then, without experience, merely by taking thought, able
to fathom the properties of real things?

In my opinion the answer to this question is breifly
this: As far as the laws of mathematics refer to
reality, they are not certain; and as far as they
are certain, they do not refer to reality."
Address to the Prussian Academy of Science 1921, Dr. Einstein
 
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