Discussing "The Foundations Of Arithmetic" By Gottlob Frege

Canonball

In this episode of Canonball we discuss "The Foundations Of Arithmetic," which was written by Gottlob Frege and published in 1884.
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Κεφάλαια

1. Frege's Life (00:00:00)

2. General Notes On Frege's View – Platonism, Nominalism, Psychologism, Formalism, And Logicism (00:01:29)

3. Frege's Begriffsschrift, or Concept Writing, As A Predecessor To The Work Of Bertrand Russell, Alfred North Whitehead, And Kurt Gödel (00:07:59)

4. Frege's High Standard For Demonstration (00:10:43)

5. The Foundations Of Arithmetic: The Linguistic Turn; The Concept-Object Distinction; The Context Principle (00:11:34)

6. Note On Harper And Brothers Edition (00:14:20)

7. Analytic, Synthetic, A Priori, And Posteriori (00:16:09)

8. Frege's Examination Of The Work Of Other Thinkers (00:17:37)

9. The Problem With Units (00:21:22)

10. Statements Of Number Are Statements Of Fact Explained By The Objectivity Of Concepts (00:23:31)

11. Frege's Main Disagreement With Kant (00:25:57)

12. Beginning Of Passages From "The Foundations Of Arithmetic" – Presenting The Question (00:26:11)

13. His Reason For Exploring Other Thinkers' Positions (00:33:15)

14. The Origin Of An Idea Is Not Its Definition; Against Psychologism; Rigor And His Three Principles (00:34:49)

15. The Rewards Of Rigor And The Search For Exhaustive Proof (00:40:03)

16. More On Analytic, Synthetic, A Priori, And Posteriori Justifications For Judgments (00:42:53)

17. Whether Arithmetical Formulas Are Provable; The Basis Of Arithmetic (00:47:12)

18. Number, The North Sea, And Astronomy (00:49:58)

19. Frege's Conclusion (00:51:49)