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I love these kind of discussions because they prove themselves irrelevant.
If the point is that one can't prove that cows exist then how could you prove the desk my computer sits on exists? Or even that I exist?
Well, that's a great use of time! If I can't prove to you that these things in front of me exist, how likely is it that I'd be able to bothering trying to convince you that God who is not manifested in physical form or quantifiable data, exists?
So yes, there are no cows, there is no internet, I don't exist. Now let's move on to useful conversation maybe?
If the point is that one can't prove that cows exist then how could you prove the desk my computer sits on exists? Or even that I exist?
There's lots of points that could be made from this:
1) There is no such thing as indisputable proof, for anything that is not a tautology.
2) You won't be able to convince someone who does not want to be convinced, especially if they question your evidence or claim global conspiracy.
3) Sometimes, refusal to accept a belief could be seen as ridiculous, illogical, and/or stupid. Pertinent beliefs that many people don't accept might be "there is a god", "there is no evidence of a god", "evolution happened", "a global flood happened". If someone believes one of these odds are you won't be able to change their mind no matter how stupid you consider their position to be or how much evidence you assemble.
4) At some point, we all have to have faith in something, otherwise you won't be sure of anything (such as that cows exist). Even "I gotta see it to believe it" requires faith since you could be hallucinating or tricked. Alternately, you could acknowledge that you aren't sure of anything.
Come visit me in CA, there are more dairies than you can shake a stick at. I can take you to dairy in about 15 min from my house. You can milk a cow if you'd like. I can show you the incredible amounts of manure they produce. Then I can introduce you to one of the farmers that grows hay to feed the dairy cows. Lastly, I can take you to any number of grocery stores and buy a 16 oz. New York cut to throw on the BBQ.
If that's not enough, then nothing is.
Is mathematics ultimately tautologous?There's lots of points that could be made from this:
1) There is no such thing as indisputable proof, for anything that is not a tautology.
Questioning evidence is fine and dandy, it's the stubborn refusal to accept perfectly valid evidence for the sheer fact that it would disprove your beliefs, that's the problem.2) You won't be able to convince someone who does not want to be convinced, especially if they question your evidence or claim global conspiracy.
Are you saying those four claims are examples of "ridiculous, illogical, and/or stupid" beliefs, immune to rational or empirical rebuttal?3) Sometimes, refusal to accept a belief could be seen as ridiculous, illogical, and/or stupid. Pertinent beliefs that many people don't accept might be "there is a god", "there is no evidence of a god", "evolution happened", "a global flood happened". If someone believes one of these odds are you won't be able to change their mind no matter how stupid you consider their position to be or how much evidence you assemble.
Which is the logical and scientific point of view - broadly speaking, we really aren't sure of anything. That's why science accrues evidence to support its hypotheses and theories, and doesn't go out to prove them.4) At some point, we all have to have faith in something, otherwise you won't be sure of anything (such as that cows exist). Even "I gotta see it to believe it" requires faith since you could be hallucinating or tricked. Alternately, you could acknowledge that you aren't sure of anything.
Is mathematics ultimately tautologous?
Are you saying those four claims are examples of "ridiculous, illogical, and/or stupid" beliefs, immune to rational or empirical rebuttal?
Which is the logical and scientific point of view - broadly speaking, we really aren't sure of anything. That's why science accrues evidence to support its hypotheses and theories, and doesn't go out to prove them.
One can axiomatically assume X, Y, and Z is true, and deduce things with absolute certainty from there, but as you say, this is faith - and why on Earth would we want that?![]()
Mathematics is more than syllogisms, though, and even they aren't all tautologous.Yes! Formal math is done axiomatically, and it is all of the form if [things equivalent to A] then A.
Nonetheless, are you saying that, for instance, belief in evolution is done without regard to the evidence?They're examples of beliefs. What people do with beliefs is a different story.
The scientific method makes assumptions in order to work, sure, but they aren't based on faith - we have very good reasons for assuming various things about the universe. The core 'axioms' of science are just higher-level examples of empirical observations. Some might consider the conservation of energy as an axiom of science, but even it is ultimately empirical.But science still needs axioms, if only really reasonable ones such as that the universe is objective and consistent. They may not be formally stated axioms, but think of what the implicit requirements are for the scientific method to work.
Mathematics is more than syllogisms, though, and even they aren't all tautologous.
Everyone has already talked to the death about the beliefs themselves. I was actually talking about the failure to accept beliefs (especially when people really think you should accept the belief to be reasonable, eg cows). The same metacognitive things will be true regardless of whether the belief is "true" or not.Nonetheless, are you saying that, for instance, belief in evolution is done without regard to the evidence?
Sure, but it is a circular argument just like everyone else's. Have you seen a Christian try to justify their faith in the Bible by referencing the Bible? That's what you're trying to do with your faith in science. How do you propose conducting these so-called "empirical observations" if the person you are trying to convince does not accept the universe as objective and repeatable?The scientific method makes assumptions in order to work, sure, but they aren't based on faith - we have very good reasons for assuming various things about the universe. The core 'axioms' of science are just higher-level examples of empirical observations. Some might consider the conservation of energy as an axiom of science, but even it is ultimately empirical.
The derivation of Euler's identity isn't a conclusion derived from two a priori premises, it's derived from a number of disparate sources. Neither is it tautologous, since it is not necessarily true for all values of its variables.Could you give an example?
The assumptions of science aren't based on science, they're based on logic, which is itself built upon self-evident propositions. Occam's Razor is logical and is a stone in the scientific method, but is itself not derived wholesale from the method. Rather, it's derived from logic and mathematics. The notion that the most well-evidenced explanation is the most probable one is rooted in the same logic as Occam's Razor.Everyone has already talked to the death about the beliefs themselves. I was actually talking about the failure to accept beliefs (especially when people really think you should accept the belief to be reasonable, eg cows). The same metacognitive things will be true regardless of whether the belief is "true" or not.
Sure, but it is a circular argument just like everyone else's. Have you seen a Christian try to justify their faith in the Bible by referencing the Bible? That's what you're trying to do with your faith in science. How do you propose conducting these so-called "empirical observations" if the person you are trying to convince does not accept the universe as objective and repeatable?
As you said, the scientific method makes assumptions in order to work, but they're not based on faith -- they're based on the scientific method!
The assumptions of science aren't based on science, they're based on logic, which is itself built upon self-evident propositions. Occam's Razor is logical and is a stone in the scientific method, but is itself not derived wholesale from the method. Rather, it's derived from logic and mathematics. The notion that the most well-evidenced explanation is the most probable one is rooted in the same logic as Occam's Razor.
Moreover, the sheer fact that science works means that we can implicitly trust it without having to make any leap of faith - it has already justified itself and its central premises.