It also depends on what you mean by infinity, and what you mean by the size of the set. For the application of infinitesimals to go, see Go Infinitesimals and Chilling. Games that are smaller than any positive number and larger than any negative number are known as small game s. That is, they are smaller than any positive game and larger than any negative game, but are not larger than zero. The above are valid for integers, rational numbers, and real numbers but they are not valid for natural numbers or complex numbers. Other infinitesimals, like, are confused with zero. The above also depend on assumptions like what you mean by number. If you are asking whether (∞+(-∞))/2 = 0, the answer is probably "That does not compute". If you are asking: find X, where =, the answer is " Every number has that property". If you are asking whether - ( + ) = 0, the answer is "No". If you are asking whether =, the answer is "Yes". Manuscripts, Marx established the theory of infinitesimals. Edit: it seems the induction hypothesis need not be true for all infinitesimals, only one positive and one negative infinitesimal are sufficient for proving statements about real numbers. The answer might be "yes", or "no", or "so is every other number" or "that does not compute", depending on how you specifically ask the question. differentials as reflecting a mutual positive-negative dialectical relationship. There is lots of argument here about the "right" answer, and this is because there is no one "right" answer because the question is too ambiguous and relies on faulty assumptions.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |