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Ep 132 – The Long Road to Mathematical Physics
Архівні серії ("Канал неактуальний" status)
When? This feed was archived on May 26, 2022 12:11 (). Last successful fetch was on April 07, 2022 03:18 ()
Why? Канал неактуальний status. Нашим серверам не вдалося отримати доступ до каналу подкасту протягом тривалого періоду часу.
What now? You might be able to find a more up-to-date version using the search function. This series will no longer be checked for updates. If you believe this to be in error, please check if the publisher's feed link below is valid and contact support to request the feed be restored or if you have any other concerns about this.
Manage episode 302297978 series 2370245
A solo episode from Paul today inspired by the content of Wyoming Catholic College’s Deductive Reasoning in Science course (SCI 301).
- Greek arithmetic and the Pythagoreans
- The crisis of incommensurables (irrational numbers)
- The triumph of geometry over arithmetic
- Emphasis on axiomatic systems and proofs: Euclid
- Archimedes: physics within the Euclidean paradigm
- Aristotle and the medieval: qualitative and categorical accounts of motion
- The long reach of ancient methods and paradigms
- Galileo and his big ideas, shaky proofs, and tedious Euclidean methodology
- 16th century algebra and the need for negative numbers to simplify the cubic equation
- Galileo’s multiple cases of proportions of times, spaces, speeds in the Euclidean paradigm
- Overturns in algebraic notation and the advent of analytical geometry in the 17th century
- The looming role of calculus in Galileo’s attempts to argue by means of infinite parallels
- Imaginary and complex numbers in the solution of cubic equations with real roots, real physical problems
153 епізодів
Архівні серії ("Канал неактуальний" status)
When? This feed was archived on May 26, 2022 12:11 (). Last successful fetch was on April 07, 2022 03:18 ()
Why? Канал неактуальний status. Нашим серверам не вдалося отримати доступ до каналу подкасту протягом тривалого періоду часу.
What now? You might be able to find a more up-to-date version using the search function. This series will no longer be checked for updates. If you believe this to be in error, please check if the publisher's feed link below is valid and contact support to request the feed be restored or if you have any other concerns about this.
Manage episode 302297978 series 2370245
A solo episode from Paul today inspired by the content of Wyoming Catholic College’s Deductive Reasoning in Science course (SCI 301).
- Greek arithmetic and the Pythagoreans
- The crisis of incommensurables (irrational numbers)
- The triumph of geometry over arithmetic
- Emphasis on axiomatic systems and proofs: Euclid
- Archimedes: physics within the Euclidean paradigm
- Aristotle and the medieval: qualitative and categorical accounts of motion
- The long reach of ancient methods and paradigms
- Galileo and his big ideas, shaky proofs, and tedious Euclidean methodology
- 16th century algebra and the need for negative numbers to simplify the cubic equation
- Galileo’s multiple cases of proportions of times, spaces, speeds in the Euclidean paradigm
- Overturns in algebraic notation and the advent of analytical geometry in the 17th century
- The looming role of calculus in Galileo’s attempts to argue by means of infinite parallels
- Imaginary and complex numbers in the solution of cubic equations with real roots, real physical problems
153 епізодів
Semua episode
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