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Jeremiah Dyke
13th March 2010, 16:24
Math teacher here to question and learn

Hobbies include paintball, jujitsu, golfing, good wine, gourmet coffee and tea, imported ale, writing, reading, and meditating. I’m also a vegetarian, libertarian and an atheist.

Q
13th March 2010, 16:36
Welcome :)

Lyev
13th March 2010, 17:21
Please to meet you, welcome. I hope you enjoy your stay on the forums here.

Nolan
13th March 2010, 17:41
Welcome :)

The Ben G
13th March 2010, 18:02
Helort.

red cat
13th March 2010, 18:09
Welcome :)


Math teacher here to question and learn



I would like to know what you think of this:

http://www.revleft.com/vb/anti-dialectics-and-t128235/index.html

Jeremiah Dyke
13th March 2010, 21:48
Welcome :)



I would like to know what you think of this:



I only gave the Zenkin article a cursory glance but if you are asking my opinion (and my area of study was probability and economics not set theory) on the merits of studying the concept of infinity whether or not an actual infinity exists I would respond that the concept is fruitful, the same way I would hold that the concept of m-theory or any other abstract paradox or problem of continuum is fruitful. Even if an actual infinity is absurd, the concept of the limit as x-> ∞ is of much use in applied problems.
Now, where I would like to transition this topic, and hopefully someone in these forms can oblige such an abstract thought experiment, is to the problem of individual ownership. If you believe that you are the owner of yourself (forget about the products of your labor and things of that nature), where does your ownership begin and end?

red cat
13th March 2010, 22:46
I only gave the Zenkin article a cursory glance but if you are asking my opinion (and my area of study was probability and economics not set theory) on the merits of studying the concept of infinity whether or not an actual infinity exists I would respond that the concept is fruitful, the same way I would hold that the concept of m-theory or any other abstract paradox or problem of continuum is fruitful. Even if an actual infinity is absurd, the concept of the limit as x-> ∞ is of much use in applied problems.

I understand your point. But when we relate the real world to mathematics, whether it be string theory or economics, we generally have to compromise to a certain extent. The notion of infinity in mathematics is not related to the physical world. I only refers to the specified sets satisfying certain axioms.

I just wanted your opinion in general. Don't bother yourself with that article of Zenkin; numerous such articles claim to refute or "demolish" well established mathematical theorems, but meet with no success. :lol: I just wanted your opinion on Cantor's theorem.

Anyway, I hope to study probability soon, and I look forward to discussions with you. :)





Now, where I would like to transition this topic, and hopefully someone in these forms can oblige such an abstract thought experiment, is to the problem of individual ownership. If you believe that you are the owner of yourself (forget about the products of your labor and things of that nature), where does your ownership begin and end? I don't understand your argument here. Can you explain in details ?