tag:blogger.com,1999:blog-7225373.post8935878977421034005..comments2024-02-29T03:34:23.190-05:00Comments on Who Were the Sea Peoples?: My infinity is bigger than your infinity!gcallahhttp://www.blogger.com/profile/10065877215969589482noreply@blogger.comBlogger10125tag:blogger.com,1999:blog-7225373.post-21050835623575309152017-01-27T15:14:51.198-05:002017-01-27T15:14:51.198-05:00I think the Intuitionist school, Brouwer is the bi...I think the Intuitionist school, Brouwer is the big name, would agree. Ken Bhttps://www.blogger.com/profile/12976919713907046171noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-67890519410426643992017-01-26T12:27:40.936-05:002017-01-26T12:27:40.936-05:00"Understanding what bigger means should not t..."Understanding what bigger means should not take a philosopher."<br /><br />When thing A and thing B are both infinite sets?! Then in fact it DOES take a philosopher!gcallahhttps://www.blogger.com/profile/10065877215969589482noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-52166422787944506562017-01-26T12:26:53.053-05:002017-01-26T12:26:53.053-05:00That's fine, Keshav. I understand the mathemat...That's fine, Keshav. I understand the mathematics perfectly well. gcallahhttps://www.blogger.com/profile/10065877215969589482noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-70027364827685854152017-01-25T10:09:24.141-05:002017-01-25T10:09:24.141-05:00Gene, "2^Aleph_0 > Aleph_0" is a prec...Gene, "2^Aleph_0 > Aleph_0" is a precise mathematical statement that can be proven in ZFC. Now you can say that the ">" symbol does not capture the philosophical concept of "greater than", but ">" still has a precise mathematical meaning.Keshav Srinivasanhttps://www.blogger.com/profile/04754620266852651577noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-79888946969478547892017-01-25T07:41:39.830-05:002017-01-25T07:41:39.830-05:00Understanding what bigger means should not take a ...Understanding what bigger means should not take a philosopher. If you can write an equation to prove something is that philosophy? Infinity is a common part of many mathematical equations. robhttps://www.blogger.com/profile/04901630740906374515noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-88051802182754351512017-01-25T00:18:31.737-05:002017-01-25T00:18:31.737-05:00What you have "proved" here, rob, is tha...What you have "proved" here, rob, is that you don't actually understand Cantor's mathematical finding!gcallahhttps://www.blogger.com/profile/10065877215969589482noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-54050759924024246272017-01-24T23:41:36.653-05:002017-01-24T23:41:36.653-05:00That strikes me as a mathematical concept, but I h...That strikes me as a mathematical concept, but I have not given that much thought.gcallahhttps://www.blogger.com/profile/10065877215969589482noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-13520469446916848822017-01-24T23:16:19.343-05:002017-01-24T23:16:19.343-05:00Amazing, rob! I am ADDRESSING Cantor. What Cantor ...Amazing, rob! I am ADDRESSING Cantor. What Cantor showed was that the integers cannot be put in one-to-one correspondence with the reals. Yes, I UNDERSTAND that.<br /><br />But that does not, necessarily, mean there are "more" reals than integers. Yes, in a FINITE set, it would prove that set A was bigger than set B. But what does it mean in terms of INFINITE sets?<br /><br />Sorry, rob, that's a philosophical question.gcallahhttps://www.blogger.com/profile/10065877215969589482noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-35672203973902157452017-01-24T20:20:39.301-05:002017-01-24T20:20:39.301-05:00It's not a matter of philosophy that some infi...It's not a matter of philosophy that some infinities are larger than others. There are more real numbers between 0 and 1 than there are integers. I think some dude name Cantor proved this. robhttps://www.blogger.com/profile/04901630740906374515noreply@blogger.comtag:blogger.com,1999:blog-7225373.post-44009300522130654102017-01-24T15:43:21.532-05:002017-01-24T15:43:21.532-05:00Countable, philosophic or mathematic? Countable, philosophic or mathematic? Lordhttps://www.blogger.com/profile/06747994571555237739noreply@blogger.com