- #1

- 4

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter bmcphysics
- Start date

- #1

- 4

- 0

- #2

jedishrfu

Mentor

- 12,745

- 6,617

http://en.wikipedia.org/wiki/Mathematics_of_paper_folding

and Robert Langs work

http://www.ted.com/talks/robert_lang_folds_way_new_origami.html

- #3

Stephen Tashi

Science Advisor

- 7,642

- 1,495

. Some one suggested the concept of infinity, which certainly could be interesting.

is that a research program in philosophy or in mathematics? - or in some sort of mixture? You could certain study various mathematics that uses the word "infinity" (such as limits, transfinite ordinals and cardinals). However, if you want to study the "concept" of infinity, you might find mathematics very restrictive because the word "infinity" has no independent meaning in mathematics, it is only used as part of a phrase or sentence and thus it has meaning in narrow contexts.

You could study the Calculus Of Finite Differences and matrices and then answer my question!

https://www.physicsforums.com/showthread.php?t=630493

(Of course I should have written those sums as [itex] \sum_{i=1}^n i^2 [/itex] and [itex] \sum_{i=1}^n (2i + 1) [/itex].)

- #4

chiro

Science Advisor

- 4,790

- 132

One definite requirement of understanding infinity has to be to study Hilbert-Spaces and Operator Algebras on Hilbert-Spaces which is basically looking at infinite-dimensional operators.

Also you might want to look at Projective geometry as well.

Take a course on Hilbert-Spaces and Operator Algebras to really look at the current understandings of infinity, but make sure you have the right pre-requisites so that you can understand how the infinity makes sense (or screws things up from the finite point of view: i.e. the convergence aspect).

- #5

- 441

- 0

is that a research program in philosophy or in mathematics? - or in some sort of mixture? You could certain study various mathematics that uses the word "infinity" (such as limits, transfinite ordinals and cardinals). However, if you want to study the "concept" of infinity, you might find mathematics very restrictive because the word "infinity" has no independent meaning in mathematics, it is only used as part of a phrase or sentence and thus it has meaning in narrow contexts.

You could study the Calculus Of Finite Differences and matrices and then answer my question!

https://www.physicsforums.com/showthread.php?t=630493

(Of course I should have written those sums as [itex] \sum_{i=1}^n i^2 [/itex] and [itex] \sum_{i=1}^n (2i + 1) [/itex].)

He could write about the misconceptions of infinity. And give explanations as to why those misconceptions are incorrect. He could use the search function on this forum to complete an entire book!

Share: