A logical proof is based on axioms assumed to be true.
Any axioms used for religious proofs would surely beg the question.
Postulates can (potentially) be reduced. Axioms cannot.Fun fact: axiom is essentially synonymous with postulate.
To completely different magisteria.A logical proof is based on axioms assumed to be true.
Any axioms used for religious proofs would surely beg the question.
No such animal and yesReligious proof
and non repeatablejust tends to be anecdotal.
Not quite true.Postulates can (potentially) be reduced. Axioms cannot.
Yes, it can.For instance
a+b=c
can be reduced to
1+1=2
as an example of but one possible reduction.
Due to it's self evident nature, 1+1 = 2 cannot be further reduced.
Aunt Sally alert: surely nobody sensible attempts religious proofs, do they? Religious belief is all about faith. You do not need faith if something can be proved!A logical proof is based on axioms assumed to be true.
Any axioms used for religious proofs would surely beg the question.
That is a postulate. In short, if you can have "if/then" discussions after the rules have already been set, then you are working with postulates. Axioms (at least in the philosophical sense) have no "if" element (or at least for the purposes of discussion, they have no "if" element).Not quite true.
Axioms might merely be that which is accepted by all parties to the discussion as being true.
They need not be irreducible.
It would be a bit erroneous to say he wrote tomes just to prove 1+1 =2. Rather it proved many things, amongst which 1+1=2.Yes, it can.
It has actually been proven from more fundamental principles by Russell in his Principia Mathematica.
Admittedly it took 360 pages or so...
Further, do not confuse something you might find as being self-evident for something being true for everyone.
The numbers are probably at the same ratio as those who attempt religious disproofs.Aunt Sally alert: surely nobody sensible attempts religious proofs, do they?
Provided one's faith in the proof is unshakable.Religious belief is all about faith. You do not need faith if something can be proved!
The numbers are probably at the same ratio as those who attempt religious disproofs.
Provided one's faith in the proof is unshakable.
What is the ratio of people who accept something claimed to be proven with an electron microscope compared to those who have walked within 3 metres of one?
I'm not aware what this has to do with anything I wrote.I'm not aware that an electron microscope has proven anything. It can provide evidence for a hypothesis, as all scientific observation does.
I'm not aware what this has to do with anything I wrote.
If I say, "I came 50 miles to town with a car", is your immediate response to think that my shoulders must be tired?
Not that I mentioned any subsequent "if/then" discussion after the rules have been set, in modern mathematics the terms are interchangeable, and it is really just the particular branch that you are working in that would determine which you use.That is a postulate. In short, if you can have "if/then" discussions after the rules have already been set, then you are working with postulates. Axioms (at least in the philosophical sense) have no "if" element (or at least for the purposes of discussion, they have no "if" element).
Or postulates, depending on which circle you are dealing with.Once we have closed, for all intents and purposes, all the "if's" down, then you are dealing with axioms.
You seem to have misinterpreted the purpose of "might"?The very statement "you might find as being self evident" doesn't make sense. There is no "might" (or, if you prefer, "if" ... there's that word again ) in self evident claims.
If I make the claim "I do not feel hungry", how is that not true for everyone? What test can a 2nd party perform to invalidate that truth, and thus prove it isn't true for everybody?You seem to have misinterpreted the purpose of "might"?
The "might" is not in relation to whether you find the claim self-evident or not, but in relation to the event ever occurring that you would consider self-evident.
You might one moment declare that you are self-evidently hungry, for example.
This is something that "you might find as being self-evident".
Proof requires specialist skills, not just in terms of collecting data, but interpreting what the data says.Haha, very good.
Perhaps you could explain what your point was, in your analogy of the electron microscope. I am obviously missing it.
You seem to have misinterpreted the purpose of "might"?
The "might" is not in relation to whether you find the claim self-evident or not, but in relation to the event ever occurring that you would consider self-evident.
You might one moment declare that you are self-evidently hungry, for example.
This is something that "you might find as being self-evident".
Obviously a case of mistaken identity on your behalf if you think there is a connection between "self evident" and "self reflection" because they both have the word "self".I would have thought "self evident" would only really apply if something was being explained TO you
In other words the person doing the explaining appears to KNOW what it is and probably puzzled by YOUR inability to understand the detail
Obviously many times the person doing the explaining is incorrect when using the "self evident" tactic (by design or ignorance) and requires the other person to explain why the subject matter in NOT self evident
Internal or self reflection surely does not require being labelled self evident?
![]()
By relying on the judgement of those with the skills to evaluate it (having considered their rationale with all due care).Proof requires specialist skills, not just in terms of collecting data, but interpreting what the data says.
If something can be proved, how do those who lack the specialist skills required approach the claim?
It was more to do with your comment you don't need faith if something can be proved.By relying on the judgement of those with the skills to evaluate it (having considered their rationale with all due care).
But I do not see what bearing this has on my original point, which is that religious believers do not generally seek proof of their beliefs, relying as they do on faith.