By philosophy according to the school concept Kant understands a kind of rational science. Philosophical science is different from mathematics in that it is rational cognition from concepts, while the latter is rational cognition from the construction of concepts in intuition. It is further divided into a formal and material science, the latter in turn being made up of theoretical and practical part.
Quote: 0:08
Repetition: 0:32
1. Difference between mathematics and philosophy: 3:15
- The opinion on the difference between mathematics and philosophy common before Kant: 8:31
- Kant’s difference is a formal one: 11:02
- Intuition (viewing) and thinking: 16:09
- Universality of cognition in mathematics and philosophy: 29:15
- Separating is aufkläred critique: 34:21
- Kant’s difference explains the different treatment and the different subjective conviction of mathematics and philosophy: 36:26
- Kant’s difference as a critique of pre-critical philosophy: 50:06
- Prejudices against philosophy: 1:05:48
- Kant’s orientation on natural science in the fashion of Newton: 1:09:58
2. Formal logic: 1:11:40
- The role of logic: 1:24:10
- Kant’s understanding of logic as a key to understanding Kant: 1:30:49
- Analytic: 1:40:09
- Dialectic: 1:43:00
- Digression: Lessons in sophistic dialectic and their damage today: 1:47:48
- Critical dialectic: 2:05:44
- Pure and applied logic: 2:08:51
3. Theoretical and practical philosophy: 2:10:56
- A clear distinction between theory and practice is important: 2:30:36
- The concept of purposiveness as a bridge between theorical and practical philosophy: 2:50:52
Thanks: 3:01:50
Overiew over philosophy according to Kant:
https://jonathanivoloewer.de/wp-content/uploads/2024/05/Philosophy-according-to-Kant.jpg
The difference between mathematics and philosophy Kant discusses where
he discusses science and philosophy in general. For this I point back to
the reading recommendations from the last lecture.
On logic you may read Kant's Logic:
http://kant.korpora.org/Band9/001.html Since this was only published by
his student Jäsche and is deficient, I rather recommend Kant's lextures
on logic:
https://archive.org/details/kantsgesammeltes241imma/page/n5/mode/2up |
https://archive.org/details/kantsgesammeltes242imma/page/n7/mode/2up
(English translations exist, but unfortunately I couldn't find them for
free on the internet.)
On the difference between theoretical and practical philosophy and on
the concept of purposiveness I recommend reading the introduction to the
Critique of the Power of Judgement. And even more so the First
Introduction to the Critique of the Power of Judgement:
https://monoskop.org/images/7/77/Kant_Immanuel_Critique_of_Judgment_1987.pdf
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