Discussing "The [Philosophical] Foundations Of Arithmetic" By Gottlob Frege

In this episode of Canonball we discuss "The Foundations Of Arithmetic," which was written by Gottlob Frege and published in 1884. Listen to this podcast on any of several dozen podcast platforms, most of which have no ads, at this link: https://www.buzzsprout.com/2132180/share Get a copy of my edition of Mary Shelley's Frankenstein at my website: https://www.vollrathpublishing.com 00:00 Frege's Life 01:29 General Notes On Frege's View – Platonism, Nominalism, Psychologism, Formalism, And Logicism 07:59 Frege's Begriffsschrift, or Concept Writing, As A Predecessor To The Work Of Bertrand Russell, Alfred North Whitehead, And Kurt Gödel 10:43 Frege's High Standard For Certainty 11:34 The Foundations Of Arithmetic: The Linguistic Turn; The Concept-Object Distinction; The Context Principle 14:20 Note On The Harper And Brothers'Edition 16:09 Analytic, Synthetic, A Priori, And Posteriori 17:37 Frege's Examination Of The Work Of Other Thinkers 21:22 The Problem With Units 23:31 Statements Of Number Are Statements Of Fact Explained By The Objectivity Of Concepts 25:57 Frege's Main Disagreement With Kant 26:11 Beginning Of Passages From "The Foundations Of Arithmetic" – Presenting The Question 33:15 His Reason For Exploring Other Thinkers' Positions 34:49 The Origin Of An Idea Is Not Its Definition; Against Psychologism; Rigor And His Three Principles 40:03 The Rewards Of Rigor And The Search For Exhaustive Proof 42:53 More On Analytic, Synthetic, A Priori, And Posteriori Justifications For Judgments 47:12 Whether Arithmetical Formulas Are Provable; The Basis Of Arithmetic 49:58 Number, The North Sea, And Astronomy 51:49 Frege's Conclusion