Induction Proofs but Few Axioms.
Ah, Russell, how contradictory thou art.
I can't decide if I'm more disappointed in him as a mathematician or a philosopher. A lot like Descartes, I feel like Russell keeps taking things too far. The sun rising question had been raised (lol at the pun) long before Russell brought it up. However, he ties it to the mathematical proof method induction.
Although I read all of the required reading, this is the section I got caught up on. Mainly because it is mathematical. Induction is my personal favorite type of math proof, and he is right in stating that it starts by saying "this statement holds for ___" and then saying "well, because we know that this statement holds for ___, it must hold for ____+1." And that's exactly what he's saying about the sun rising.
At the same time though, I feel like he often strays from topics by getting caught up on semantics. I noticed this with the debate too. I just find myself wishing he would accept some things as axioms and then move on to discussing deeper things in depth. Does that even make sense? I think this is why Russell confuses me so much.
PS I commented on Sophia and Ethan's posts.
I can't decide if I'm more disappointed in him as a mathematician or a philosopher. A lot like Descartes, I feel like Russell keeps taking things too far. The sun rising question had been raised (lol at the pun) long before Russell brought it up. However, he ties it to the mathematical proof method induction.
Although I read all of the required reading, this is the section I got caught up on. Mainly because it is mathematical. Induction is my personal favorite type of math proof, and he is right in stating that it starts by saying "this statement holds for ___" and then saying "well, because we know that this statement holds for ___, it must hold for ____+1." And that's exactly what he's saying about the sun rising.
At the same time though, I feel like he often strays from topics by getting caught up on semantics. I noticed this with the debate too. I just find myself wishing he would accept some things as axioms and then move on to discussing deeper things in depth. Does that even make sense? I think this is why Russell confuses me so much.
PS I commented on Sophia and Ethan's posts.
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