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Listen "02. A Perfect Experiment"
Episode Synopsis
Chapter 2 of the book:
“From Riemann Hypothesis to CPS Geometry and Back Volume 1 (https://www.amazon.com/dp/B08JG1DLCV) ”, Canadian Intellectual Property Office Registration Number: 1173734 (http://www.ic.gc.ca/app/opic-cipo/cpyrghts/srch.do?lang=eng&page=1&searchCriteriaBean.textField1=1173734&searchCriteriaBean.column1=COP_REG_NUM&submitButton=Search&searchCriteriaBean.andOr1=and&searchCriteriaBean.textField2=&searchCriteriaBean.column2=TITLE&searchCriteriaBean.andOr2=and&searchCriteriaBean.textField3=&searchCriteriaBean.column3=TITLE&searchCriteriaBean.type=&searchCriteriaBean.dateStart=&searchCriteriaBean.dateEnd=&searchCriteriaBean.sortSpec=&searchCriteriaBean.maxDocCount=200&searchCriteriaBean.docsPerPage=10) , Ottawa, ISBN 9798685065292, 2020.
On Google Books:
https://books.google.ca/books/about?id=jFQjEQAAQBAJ&redir_esc=y
On Google Play: https://play.google.com/store/books/details?id=jFQjEQAAQBAJ
Summary
The text explores the concept of "mental experiments" in mathematics, arguing that mathematics, like the physical world, can be investigated through a process of experimentation and measurement. The author uses the problem of determining the distribution of prime numbers as an example, highlighting the need to define fundamental concepts like "multiplication" and "addition" before performing such mental experiments. The author concludes that these mental experiments can be performed with perfect accuracy, resulting in measurements that exactly match the "actual" mathematical reality.
“From Riemann Hypothesis to CPS Geometry and Back Volume 1 (https://www.amazon.com/dp/B08JG1DLCV) ”, Canadian Intellectual Property Office Registration Number: 1173734 (http://www.ic.gc.ca/app/opic-cipo/cpyrghts/srch.do?lang=eng&page=1&searchCriteriaBean.textField1=1173734&searchCriteriaBean.column1=COP_REG_NUM&submitButton=Search&searchCriteriaBean.andOr1=and&searchCriteriaBean.textField2=&searchCriteriaBean.column2=TITLE&searchCriteriaBean.andOr2=and&searchCriteriaBean.textField3=&searchCriteriaBean.column3=TITLE&searchCriteriaBean.type=&searchCriteriaBean.dateStart=&searchCriteriaBean.dateEnd=&searchCriteriaBean.sortSpec=&searchCriteriaBean.maxDocCount=200&searchCriteriaBean.docsPerPage=10) , Ottawa, ISBN 9798685065292, 2020.
On Google Books:
https://books.google.ca/books/about?id=jFQjEQAAQBAJ&redir_esc=y
On Google Play: https://play.google.com/store/books/details?id=jFQjEQAAQBAJ
Summary
The text explores the concept of "mental experiments" in mathematics, arguing that mathematics, like the physical world, can be investigated through a process of experimentation and measurement. The author uses the problem of determining the distribution of prime numbers as an example, highlighting the need to define fundamental concepts like "multiplication" and "addition" before performing such mental experiments. The author concludes that these mental experiments can be performed with perfect accuracy, resulting in measurements that exactly match the "actual" mathematical reality.
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