MikeL
Go Fish
Andre Weil- "God exists since mathematics is consistent, and the Devil exists since we cannot prove it." I think he said this after Godel's work.
Elegant, if crude, synthesis. Small wonder most animals abide by that.MikeL said:As for the environment, my dad always said,"Don't sh_t where you eat". Or maybe where other generations eat, if you care about that.
Gabriel M.A. said:Mathematics seems to get stumped on the concept of "Infinity" (or as some would rather call it, "undefined"). Many see in this Divine implications. To tell you the truth, I have.
But work is underway to publish recently rediscovered work by Archimedes where he came about solving the "issue" of Infinity in math. People closely involved with recovering this find admit that this is "huge" (no pun intended). The pseudofunny thing is, that this sole copy of this work was recycled by a monk so he could make a copy of Scripture.
http://www.pbs.org/wgbh/nova/archimedes/infinity.html
We'll see.
aizan said:who says god likes religion? 😀
I didn't say you did; sorry, I went on my own tangent there. We're doing a lot of that here.fgianni said:True Gabriel, but if you read my post carefully you will notice that I did not say that mathemathics can prove everything
It's the same thing, however, that makes mathematics really fall short a bit in comparison with the natural sciences; if you think about science in a very strict way (as in formulation of hypotheses and testing them against observable evidence), then mathematics isn't really a science, as there is no observable evidence to test it against and mathematical reasoning has no way of "testing" things beyond consistency checks against its own axioms. It's really more like a thought exercise in finding out what weird things you can derive starting from a few simple axioms; in this respect it is not unlike philosophy, technically not a science either under a narrow definition. Maths is considered a science largely by convention, because it's taught in universities and because it's such a useful tool for many sciences.fgianni said:My point was that once a statement has been proved to be true (and becomes a theorem) within the framework of the axioms used to form the basis of the formal system, that statement can be considered irrefutably proven, and this is not true for any other discipline.
fgianni said:About the proof of the existence of God, it may seem blunt but I think it s a job for idiots, if God existence could be proved, that would automatically cancel any need for faith (since believing in something that has been proven does not require any faith at all), thus negating the very reason for religion to exist.
Well, Mathematics is the science of numbers, wouldn't you agree? Everything about the study of numbers can be solidly verified by its laws, most theorems and axioms. Quantities in the real world are real. Let's not confuse one nonapplication of a study as a complete fallacy of the whole, if it is not founded on it.rxmd said:Maths is considered a science largely by convention, because it's taught in universities and because it's such a useful tool for many sciences.
One method, yes.ywenz said:Organized religion has always been a method to control people and leave the power to rule in the hands of the few.
If I remember my mathematical logic lectures properly, it was precisely the point of Gödel's Incompleteness Theorem that not every derivation from a system of axioms can necessarily be verified by these axioms. 🙂 That's why it was such a devastating blow to the earlier positivist school of mathematics of Hilbert etc., whose stance on mathematics was not unlike what you describe here.Gabriel M.A. said:Everything about the study of numbers can be solidly verified by its laws, most theorems and axioms.
Actually I think you are not doing the philosophers credit here, at least some of them; most analytical philosophers and logicians I met, for example, would have every right to be offended if you told them that their approaches were less rigid and verifiable than a mathematician's. (And "verification" really does not mean the same thing as in any natual science; it makes a difference whether you verify a system against observable facts or against itself.)Gabriel M.A. said:The study of numbers in Mathematics is more rigid and verifiable than, say, Numerology and Philosophy.
Hm, mathematics is far more important nowadays than rhetoric (and incidentally the classical Greeks considered rhetoric a science, but then we've come a long way since then...). I think a more interesting candidate for an analogy would be semiotics.Gabriel M.A. said:It's dangerous to assert that something is a science mainly because it's a useful tool for many sciences and it's taught in universities. In that case, Rhetoric would be a science by these criteria alone. It is not.
ywenz said:The need for religion has nothing to do with faith. Organized religion has always been a method to control people and leave the power to rule in the hands of the few.
Faith may have nothing to do with religion, but religion has everything to do with faith. Either you have faith in a set of beliefs, or you don't; this is one of the things that defines "religion": a common faith. That there are bureaucratic and complex OCD/lithurgical aspects to many of them, specially western religions, that's another matter.ywenz said:The need for religion has nothing to do with faith. Organized religion has always been a method to control people and leave the power to rule in the hands of the few.
ErikFive said:
rxmd said:It's the same thing, however, that makes mathematics really fall short a bit in comparison with the natural sciences; if you think about science in a very strict way (as in formulation of hypotheses and testing them against observable evidence), then mathematics isn't really a science, as there is no observable evidence to test it against and mathematical reasoning has no way of "testing" things beyond consistency checks against its own axioms. It's really more like a thought exercise in finding out what weird things you can derive starting from a few simple axioms; in this respect it is not unlike philosophy, technically not a science either under a narrow definition. Maths is considered a science largely by convention, because it's taught in universities and because it's such a useful tool for many sciences.
Philipp
If we're going to talk about "specialized" fields, then you're right. As a general statement, I believe what I said is true. I didn't say Philosophy isn't "rigid"; I said Mathematics, as a whole, was more so.rxmd said:Actually I think you are not doing the philosophers credit here, at least some of them; most analytical philosophers and logicians I met, for example, would have every right to be offended if you told them that their approaches were less rigid and verifiable than a mathematician's. (And "verification" really does not mean the same thing as in any natual science; it makes a difference whether you verify a system against observable facts or against itself.)
I believe some scientists do that for a living. Interesting pictures, too. 😉fgianni said:But of course it is just a point of view, somehow I feel we are starting to split hairs here.