4 ms·

"I am coming at this from a philosophic perspective" Philosophical* perspectives require clear, factually driven, referencable arguments. Philosophy is not a

"I am coming at this from a philosophic perspective" Philosophical* perspectives require clear, factually driven, referencable arguments. Philosophy is not a fancy word for opinion. . "which contradicts the meaning ... at least on my terms." When you have to change the meanings of words in order to feel like you've made a point; etc. . "Unfortunately, to separate the wheat from the chaff means some future mathematician will need to become an epistemologist" The person you're looking for is named Georg Cantor. That work was all done already. You are merely unfamiliar with it. . "the problem is in philosophy not mathematics." The philosophy of mathematics has considered this matter settled for several hundred years now. It turns out they're an existing community. You could try reaching out to them. Nuel Belnap is a very nice man, and would probably explain this to you if you asked, without presuming first that you knew someone to be wrong when you weren't familiar with their work.

dmfdmf 13y ago
>... at least on my terms This was not a cop out as you portray but recognition that many people are not familiar with Aristole's position on infinity nor is it the popular view. I defined my terms and explained my position as to why Cantor's use of "completed infinity" is a contradiction. It is clear to anyone who wants to understand. I defy you to define, in your own words, your concept of infinity and what you actually mean by a completed one without degenerating into non-sense. > The philosophy of mathematics has considered this matter settled for several hundred years now. This was hardly a fair fight. As I conceded, the mystics won round one which is why Cantor's non-sense is accepted. The philosophy of mathematics is and was dominated by Platonists and other avowed irrationalists. So no surprise in this outcome.

dmfdmf 13y ago

>... at least on my terms This was not a cop out as you portray but recognition that many people are not familiar with Aristole's position on infinity nor is it the popular view. I defined my terms and explained my position as to why Cantor's use of "completed infinity" is a contradiction. It is clear to anyone who wants to understand. I defy you to define, in your own words, your concept of infinity and what you actually mean by a completed one without degenerating into non-sense. > The philosophy of mathematics has considered this matter settled for several hundred years now. This was hardly a fair fight. As I conceded, the mystics won round one which is why Cantor's non-sense is accepted. The philosophy of mathematics is and was dominated by Platonists and other avowed irrationalists. So no surprise in this outcome.