Having recently overheard my son and niece playing dare recently, i sat and listened to them 'one up' each other in the usual logical way: dare, double dare, triple dare etc...
eventually it came to 'i dare you times infinity', which was naturally followed by 'i dare you times infinity, plus one!'...
this got me thinking, i was always taught that infinity represented the ultimate highest number that could never be reached.. but, infinity plus one seems like a perfectly natural and logical mathematical equation.
If this IS a perfectly acceptable equation, then surely infinity must be finite? otherwise it would be equal to 'infinity plus one' which, is obviously one larger.
or is this a case of George Orwell popping his head into maths and science with 'All infinities are equal, but some infinities are more equal than others'?