James R., This is not an arguement for or against either view but more of a question. I still tend to see this issue as a function of interpretation of the precise meaning of the definition. I understand that mathematicians accept your interpretation but I see nothing in writting that explicitly addresses this alternative interpretation over common language meaning which would prohibit that interpretation. My question becomes this. Assuming for a moment that the general interpretation were invalid and a clarification or mandate were issued that the strictest interpretation by common word usage became imposed in infinity which resulted in a Ray or line which has a starting point were discounted as being infinite. What impact would that have on physics in general? Could not some other term other than infinity be crafted, i.e. - some astronomical arbitrary number based on where n is the largest finite number being considered such as n^1,000 be substituted for infinity used in calculus limits that would still sufice for the purpose of mathematics? Knowing to believe only half of what you hear is a sign of intelligence. Knowing which half to believe will make you a genius.