- Oct 17, 2016
- 2,181
- 969
- Gender
- Male
- Faith
- Christian
- Marital Status
- Married
Thanks for the reply 
Heh, no, not aware. Floating along in my idealistic and optimistic dreamland.
Agree some mathematical axioms can be falsified for example if they are created for the task of building a system.
Yes that seems right.
Sounds like you have go it. We use the natural numbers N=0, 1, 2, 3, ... for counting. N is a mathematical system. We then choose axioms to describe this system, N. Note we don't begin with the axioms, we begin with the system and then choose axioms that will most efficiently create the system.
In short, what I'm trying to explain is how we may be able to take some portion of unfalsifiable claims and falsify them to some extent by looking at how they achieve their objective; just as the axioms are chosen by how well they describe their system. Make any sense?
1. You are aware that - in regards to traditional Western philosophy and metaphysics - this is highly iconoclastic and heretic, aren´t you?
Philosophy has always taken pride in being "pure", in having no other aim than pursuing the "truth", in not being pragmatic.
Not that that´s a problem for me - but it´s an interesting and fundamental change in paradigms.
Heh, no, not aware. Floating along in my idealistic and optimistic dreamland.
2. I still don´t think that everything you call "axiom" is within the subset of "unfalsifiable claims". E.g. the rules of logic and mathematics aren´t, in my understanding - as I have explained before. Not sure if this caveat is important to make here, but I felt it might be good to remind you of this in order to avoid basic misunderstandings.
Agree some mathematical axioms can be falsified for example if they are created for the task of building a system.
3. Trying to follow your approach "How well does this unfalsifiable claim serve its purpose?" I am wondering: Who gets to define the purpose? IOW if someone confronts me with an unfalsifiable claim, would my first question have to be: What purpose do you want this unfalsifiable claim to serve?
Yes that seems right.
Wait - it would be important to me what you mean by "system" here. Do you mean math - and is the purpose of a mathematical axiom entirely self-referential (describing the formal system that it is part of)?
(You have to bear with me, since I am an idiot in mathematics. Maybe a very simple (!) example would help?
Sounds like you have go it. We use the natural numbers N=0, 1, 2, 3, ... for counting. N is a mathematical system. We then choose axioms to describe this system, N. Note we don't begin with the axioms, we begin with the system and then choose axioms that will most efficiently create the system.
In short, what I'm trying to explain is how we may be able to take some portion of unfalsifiable claims and falsify them to some extent by looking at how they achieve their objective; just as the axioms are chosen by how well they describe their system. Make any sense?
Upvote
0