Words like "congruence", "symmetry", "asymmetry", "equality", "function", and loads of other words with mathematical meaning do pop up frequently in philosophical discourse. — TheMadFool
They may bear mathematical significance, but is their invocation necessarily in a mathematical context? — Aryamoy Mitra
To me, yes. All the words I listed can be made precise with math and thereby hangs a tale. — TheMadFool
Well, I'm only guessing at this point but your objections seem to have its roots in a weltangschauung that, true or false, gives math a kind of privileged status which I presume is that of math as some kind ultimate Tertön but I'm taking a different approach, an approach which treats math as only one of many facets to reality, comparable in more ways than just that of being different windows to the world. — TheMadFool
That may be, but I was merely seeking to reassert the epistemic character of Mathematics, as a discipline. It's not as though two, distinctive modalities can be integrated seamlessly (and there are few modalities less comparable, than that of purely subjective Philosophy, and Mathematics).
I do concur with you, on the front that it's one of many facets to reality; I solely believe that mitigating the chasms it shares with other facets of reality, is not a straightforward objective. — Aryamoy Mitra
Well, I was contemplating how we maybe able to both numericize and geometrize philosophy because we do to talk of philosophical "landscapes" and, for me, that's an open invitation for mathematicians to get involved in philosophy. In addition, the divine is closely linked to the concept of infinity; philosophy, my friend, is a mathematician's paradise. — TheMadFool
Mathematicians may be (but often aren't) predisposed to undertaking philosophical discussions - but solely in a fashion, that is adherent to quantitative frameworks. — Aryamoy Mitra
For instance, Functions pertain to continuous variables across domains, — Aryamoy Mitra
Topological ideas don't necessarily have a quantitative context. The concept of what continuous means in continuous transformations has been discussed at length in this forum. — jgill
For instance, Functions pertain to continuous variables across domains,
— Aryamoy Mitra
Not necessarily. A basic definition lies in set theory and may be discrete. — jgill
Again you're doing what's unthinkable to the ordinary man - willingly, voluntarily, slipping into the straitjacket of logic and math; the men in white coats don't even have to lift a finger for this one. — TheMadFool
Of course your view of me is exactly the opposite - I'm taking subjects like logic and math which many luminaries have gone to great lengths to perfect as precise, well-organized, crystal clear mental constructs that seem almost muraculously suited for making sense of and describing the world and violating or intending to violate every possible meticulously formulated rule in them. — TheMadFool
It's not as though I'm exalting mathematicians to an unassailable pedestal — Aryamoy Mitra
Yes you are but I'm not sure whether you're doing it knowingly or unwittingly. Every time I try to build a bridge between philosophy and mathematics as I've tried my best to do in my previous posts, you immediately start pointing out how either this or that is flawed in my work. Of course I value your criticism and my impression of you is that you're more than qualified to critique matters such as this but, in my humble opinion, many great, productive interactions between disciplines involve a good deal of compromise and that usually involves relaxing the rules, ignoring differences that may even involve sweeping frank contradictions under the rug, and embarking on a cooperative venture that requires, in this case, math to meet philosophy halfway. Does this not seem reasonable? — TheMadFool
Well, if it doesn't make sense to you then it doesn't. I, on the other hand, see opportunity where you see incompatibility. I see a very profitable synthesis where you see irreconcilable conflict. — TheMadFool
All that aside, I must impress upon you that from what I can glean from your posts, you're a very knowledgeable 17 year old. By my standards, those are 17 years well spent. Ergo, given your insightful reservations on my proposal of a union between philosophy and math, I suppose that makes you the right person for the job of doing exactly that. — TheMadFool
In my humble opinion, a man who wants war knows exactly what peace is, right? — TheMadFool
Exactly; and wonderfully reminiscent of Orwell too. — Aryamoy Mitra
Well, kindly show us the way then. How can we marry philosophy with math? — TheMadFool
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