As a mathematician, it's quite interesting to read and discuss philosophical induction, because it does lack certainty and rational. A physicist will have you believe the sun will rise tomorrow not because it has risen for the past 10,000 years, but because of the models of physics which have such a great body of evidence to support, but these theories are still solely an inductive argument based upon observation, no matter how exacting they may become. Gravity, mass, and motion are the cause behind the sun rising and these causes must continue as long as nature is uniform. As you essentially stated, the whole of science tests on the condition that nature is uniform. In mathematics, we can squeeze the probability of induction into certainty. We deductively prove that one step of the induction leads to the next step of the induction, and then we show that we can take the first steps of the induction without problem. I think the certainty that mathematics provides is one of the reasons I am drawn to it.
If you have ever been arrested and shown overwhelming evidence of your guilt, and you know none of it is true about you, you are being convicted with inductive reasoning and circumstantial evidence. The 12 jurors are totally hoodwinked all too often into buying the prosecution's story. There is no past and no future. There is only an eternal now. Ignore your ego's lamentations.
As a mathematician, it's quite interesting to read and discuss philosophical induction, because it does lack certainty and rational. A physicist will have you believe the sun will rise tomorrow not because it has risen for the past 10,000 years, but because of the models of physics which have such a great body of evidence to support, but these theories are still solely an inductive argument based upon observation, no matter how exacting they may become. Gravity, mass, and motion are the cause behind the sun rising and these causes must continue as long as nature is uniform. As you essentially stated, the whole of science tests on the condition that nature is uniform. In mathematics, we can squeeze the probability of induction into certainty. We deductively prove that one step of the induction leads to the next step of the induction, and then we show that we can take the first steps of the induction without problem. I think the certainty that mathematics provides is one of the reasons I am drawn to it.
If you have ever been arrested and shown overwhelming evidence of your guilt, and you know none of it is true about you, you are being convicted with inductive reasoning and circumstantial evidence. The 12 jurors are totally hoodwinked all too often into buying the prosecution's story. There is no past and no future. There is only an eternal now. Ignore your ego's lamentations.
What is this "tomorrow" you speak of, as it even exists? 🤔😊