What is the proper role of mathematics in philosophy? Are mathematical methods for philosophy ideal, or is there some reason why those approaches are limited and/or flawed? (It is popular to say, yes, mathematics is a flawed approach to philosophy. If you are going to take this stance, please make sure to give a good reason why you believe this.)
If we accept mathematics as a good model for the universe, how far does it go? For example, a postulate of Set Theory is “there exists an empty set”. Do we consider that this is necessary for math, and thus a useful fiction for the universe, or do we actually think that an empty set exists in the universe?
Any other thoughts about math regarding science and philosophy?
if than statments of logic.
Just depends on the grasp of reality.
cause and effect of actions we take. Open mindedness to possiabilities.
Is it possiable to break apart an action into the tinest parts? Every variable. Including possiable perceptions plus the most likely perception.
Cause and effect of mentality.
What major variables we have are too deep to see. Love obviously is the biggest driving force. This gives us the need of attention and acceptance. How you get this attention and acceptance is a question of experiance and desires.
Food, shelter, and clothing. After you take care of these, what driveing forces do we have? They are but inspirations from a limited perception.
Twiffy - math is logic and logic is math. So, yeah, I think math is a useful tool in philosophy. Deductive logic is not the only method of making an argument, of course. But if you don’t use it, you have to really know what you’re doing.
To say that empty sets are fictions, and to leave it at that, is misleading. All sets are fictions - no set “exists” empirically - it’s a mathematical term, as is “class”, which is employed in logic more often. This idea is purely an analytical tool. Sets that have members are no different, they are just as fictitious, even if their members are not.