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All science depends on induction.Well, well. I wonder if you would care to apply your reasoning to other branches of science.
No. Inductive of reasoning is much more problematic than the logical laws of thought such as logical law of non-contradiction. I would have less of a rational problem if the sun suddenly burnt out tomorrow violating the laws of physics than if I suddenly found out that I can both exist and not-exist at the same time and in the same sense, or if a mathematician suddenly proposed that the pythagorean theorem was false. They are totally disanalogous. Believe me, I have a much larger “faith” in math and logic than I do in the alleged laws of nature.You might dispute the laws of logic, because the laws of logic cannot be proven logically.Or you might dispute mathematics, because its axioms cannot be proven mathematically.
Please explain which foundations of science are just accepted as “true.” I’m positive this isn’t correct at all since I am sure scientists would be willing to discard the law of thermodynamics or entropy if they really had to. All scientific theories can be overturned in science. Perhaps you are referring to “quasi-scientific” metaphysical/philosophical princples such as “every effect has a cause” or “there are both continuous and discrete quantities in nature”? I will perhaps accept those as foundational to science.Here is a surprise for you: no branch of science can prove or verify its very foundation. They are all accepted as true, because they are either obvious, or because they work.
I wouldn’t call mathematical axioms “arbitrary.” I would call them self-evidently true! And of course mathematics is applicable to nature. But who knows whether nature will decide this will always be the case…The axioms of mathematics are arbitrary, but the ones we accepted are not only consistent, but also happen to be applicable to natural sciences - they are useful.
Sure. But these faulty results are precisely why induction’s reliability is constantly called into question, whereas you can’t call into question the logical principle of non-contradiction.The **principle of induction **is not provable, or verifiable. Indeed, it may lead one to incorrect results, as in the example: “all swans we have so far observed are white, therefore it is reasonable to assume that all swans are white”. It is a typical example of faulty induction - which will be refuted by observing one black swan - but it cannot be refuted by empty speculation! So what? The principle does not assert that there will be no faulty results, but it allows the process to incorporate these new observations and modify the original hypothesis (to wit: all swans are white).
I fully agree with your remarks above, which is precisely why I think science does *not *have any more of a firm grasp on the “true nature of things” today than it did in the past. Scientific theories are always being overturned by the accumulation of new data. So how reliable is scientific methodology anyways? And what does it have to do with truth? All I see is functional utility, predictive power, and control. But as the history of science takes its course we constantly see utility and truth being split apart at its very methodological foundations. So at most, we can only measure the progress of science by its utilitarian successes, not by some alleged “God-like” ability to access the fundamental nature of empirical reality in one grand empirical “vision.”Observe again: it does not say “… then it is a duck” - it merely says: “… then it is very probably a duck”. There is no absolute certainty, there cannot be any absolute certainty, and guess what - no one cares. It is still the best method available, it cannot be improved upon, it keeps on working. And its built-in possibility of error is also taken care of, by keeping to be aware of the possibility of error, and allowing the modification of the theories, if and when it is necessary. Only some ivory-tower philosophers try to undermine the process by pointing to some “errors”, which are already acknowledged and accounted for. In other words: “where is your black swan?”…
I agree, science is the best way to arrive at an understanding of how things work in empirical domain–further, it give us more empirical utility than it does actual empirical “truth.” And above all, science** does not **have anything to say about God, morality, beauty, or anything else for that matter–and it ought not to be made to say anything about these things which so many of you want it to do.Now, I answered your points, and I am going to ask you another question. Do you have a better solution, which would eliminate the perceived “errors” in the inductive method? Let us know. Be specific. And don’t dodge this time.
For, empirical methodologies are limited by our 5 senses and the 3 spatial dimensions we live in. But our own senses will never be the final arbiter on Truth. To suppose otherwise is making empirical methodology say things it is not actually saying–not to mention pretty presumptuous about the human being’s ability to understand things. And that would be your own *philosophical *position, not a *scientific *one if you thought that scientific methodology had the final say about everything.