Laskern,
1. You went toa goyish university?
2. I wrote that 111/106 is close to pi/3. Rounded to eleven decimals it is 1.04716981132. Pi/3=1.0471975512.
3. The Gemara mentions Amoraim who lived in very different generations arguing with them.
4. When do you consider the end of the period of the Achronim to have been?
5. Many Achronim care. Just to give one every week and very important example, the Mechaber paskens like Rabbenu Tam regarding the beginning and end of Shabbat and the Rema does not disagree. The Gra reopened the matter and paskened like the Gaonimand most observant Jews follow him.
5. Obviously the Maharshal, Shaagat Arieh, Schach and Gra disagree with the Or haChaim haKadosh. See Rema CM 25:61.
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