Talk:Infinity plus one
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Some citations would be appreciated. If anyone can find them --FK65 20:47, 18 October 2006 (UTC)
- Well:
- Monaghan, John (2001). "Young Peoples' Ideas of Infinity" (restricted access). Educational Studies in Mathematics 48: 239-257. DOI:10.1023/A:1016090925967.
- I happen to have access to it. Monaghan is actually critical of the idea that young children's concept images of "infinity plus one" correspond to the ordinal number in question, on the basis that they usually think of infinity instead as "a vague generalisation of a large number". Another ultimately skeptical voice is:
- Tall, David (2001). "A child thinking about infinity". Journal of Mathematical Behavior 20 (1): 7-19.
- This one is more mathematical and less cognitive:
- Shulman, Polly (December 1995). "Infinity Plus One, and Other Surreal Numbers". Discover 16 (12).
- I think we ought to clean up the article before listing any of these as references, though. Melchoir 21:25, 18 October 2006 (UTC)
[edit] Unrelative infinity
Isn't Unrelative infinity a repeating number of nines in both directions of the decimal point because 888888...88.99999.. would not be the maxamum number because you can create a larger number which is 999999..99999.99999.....
Also if infinity plus one is equal to infinity then if you subtract infinity on both side of the equation we can see that 1=0 in which we could prove anything. However infinity plus one is equal to x but if you think about it their is no real number for x thus it is a form of an imaginary number. oo+1=oo, then oo-oo+1=oo-oo, 1=0 which cannot happen however oo+1=(a form of an imaginary number), then oo-oo+1=(a form of an imaginary number)-oo, then 1=1 which works.
but then again what do I know?
Ps: dare, what does that have anything to do with mathimatics
- Try Ordinal arithmetic. At the bottom of the Addition section, it notes "Unrestricted subtraction cannot be defined for ordinals." Melchoir 02:18, 13 December 2006 (UTC)
