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<rss xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:podcast="https://podcastindex.org/namespace/1.0" xmlns:media="http://search.yahoo.com/mrss/" version="2.0"><channel><title>Introduction to Mathematical Philosophy</title><link>https://www.spreaker.com/podcast/introduction-to-mathematical-philosophy--6874400</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><atom:link href="https://www.spreaker.com/show/6874400/episodes/feed" rel="self" type="application/rss+xml"/><language>en</language><category>Philosophy</category><copyright>Copyright Politics, Philosophy, Religion</copyright><image><url>https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg</url><title>Introduction to Mathematical Philosophy</title><link>https://www.spreaker.com/podcast/introduction-to-mathematical-philosophy--6874400</link></image><lastBuildDate>Thu, 11 Jun 2026 09:18:29 +0000</lastBuildDate><itunes:author>Bertrand Russell</itunes:author><itunes:owner><itunes:name>Politics, Philosophy, Religion</itunes:name><itunes:email>spreaker23@adfreesounds.com</itunes:email></itunes:owner><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:category text="Society &amp; Culture"><itunes:category text="Philosophy"/></itunes:category><itunes:category text="Science"/><itunes:category text="Arts"><itunes:category text="Books"/></itunes:category><itunes:explicit>false</itunes:explicit><itunes:type>serial</itunes:type><item><title>001 - Preface</title><link>https://www.spreaker.com/episode/001-preface--69898304</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898304</guid><pubDate>Mon, 09 Feb 2026 22:53:41 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898304/001_preface.mp3" length="1787392" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>224</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>002 - The Series of Natural Numbers</title><link>https://www.spreaker.com/episode/002-the-series-of-natural-numbers--69898305</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898305</guid><pubDate>Mon, 09 Feb 2026 22:53:44 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898305/002_the_series_of_natural_numbers.mp3" length="10912768" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1364</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>003 - Definition of Number</title><link>https://www.spreaker.com/episode/003-definition-of-number--69898306</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898306</guid><pubDate>Mon, 09 Feb 2026 22:53:47 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898306/003_definition_of_number.mp3" length="10512896" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:duration>1314</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>004 - Finitude and Mathematical Induction</title><link>https://www.spreaker.com/episode/004-finitude-and-mathematical-induction--69898307</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. 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He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898308</guid><pubDate>Mon, 09 Feb 2026 22:53:54 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898308/005_the_definition_of_order.mp3" length="15630848" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:duration>1954</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>006 - Kinds of Relations</title><link>https://www.spreaker.com/episode/006-kinds-of-relations--69898309</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898309</guid><pubDate>Mon, 09 Feb 2026 22:54:00 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898309/006_kinds_of_relations.mp3" length="11344896" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:duration>1418</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>007 - Similarity of Relations</title><link>https://www.spreaker.com/episode/007-similarity-of-relations--69898310</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898310</guid><pubDate>Mon, 09 Feb 2026 22:54:03 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898310/007_similarity_of_relations.mp3" length="11977728" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:duration>1498</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>008 - Rational Real and Complex Numbers</title><link>https://www.spreaker.com/episode/008-rational-real-and-complex-numbers--69898311</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898311</guid><pubDate>Mon, 09 Feb 2026 22:54:07 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898311/008_rational_real_and_complex_numbers.mp3" length="19444736" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>2431</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>009 - Infinite Cardinal Numbers</title><link>https://www.spreaker.com/episode/009-infinite-cardinal-numbers--69898312</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898312</guid><pubDate>Mon, 09 Feb 2026 22:54:11 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898312/009_infinite_cardinal_numbers.mp3" length="15260160" type="audio/mpeg"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. 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Elkind)]]></itunes:summary><itunes:duration>1908</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>010 - Infintie Series of Ordinals</title><link>https://www.spreaker.com/episode/010-infintie-series-of-ordinals--69898313</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898313</guid><pubDate>Mon, 09 Feb 2026 22:54:13 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898313/010_infintie_series_of_ordinals.mp3" length="9067008" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27/8d86a61b-4a02-4dfc-9447-a0a8e1dc5c27.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1134</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>011 - Limits and Continuity</title><link>https://www.spreaker.com/episode/011-limits-and-continuity--69898314</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898314</guid><pubDate>Mon, 09 Feb 2026 22:54:16 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898314/011_limits_and_continuity.mp3" length="11279360" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/1c6a3a99-6481-4a78-8b60-b9b850d48928/1c6a3a99-6481-4a78-8b60-b9b850d48928.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/1c6a3a99-6481-4a78-8b60-b9b850d48928/1c6a3a99-6481-4a78-8b60-b9b850d48928.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/1c6a3a99-6481-4a78-8b60-b9b850d48928/1c6a3a99-6481-4a78-8b60-b9b850d48928.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1410</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>012 - Limits and Continuity of Functions</title><link>https://www.spreaker.com/episode/012-limits-and-continuity-of-functions--69898315</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898315</guid><pubDate>Mon, 09 Feb 2026 22:54:20 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898315/012_limits_and_continuity_of_functions.mp3" length="12847104" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/cd626e84-612f-46f1-8b73-1db045968b2b/cd626e84-612f-46f1-8b73-1db045968b2b.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/cd626e84-612f-46f1-8b73-1db045968b2b/cd626e84-612f-46f1-8b73-1db045968b2b.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/cd626e84-612f-46f1-8b73-1db045968b2b/cd626e84-612f-46f1-8b73-1db045968b2b.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1606</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>013 - Selections and the Multiplicative Axiom</title><link>https://www.spreaker.com/episode/013-selections-and-the-multiplicative-axiom--69898316</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898316</guid><pubDate>Mon, 09 Feb 2026 22:54:24 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898316/013_selections_and_the_multiplicative_axiom.mp3" length="18778624" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/041e6993-12cd-4bde-8b13-13a4272acee6/041e6993-12cd-4bde-8b13-13a4272acee6.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/041e6993-12cd-4bde-8b13-13a4272acee6/041e6993-12cd-4bde-8b13-13a4272acee6.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/041e6993-12cd-4bde-8b13-13a4272acee6/041e6993-12cd-4bde-8b13-13a4272acee6.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>2348</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>014 - The Axiom of Infinity and Logical Types</title><link>https://www.spreaker.com/episode/014-the-axiom-of-infinity-and-logical-types--69898317</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898317</guid><pubDate>Mon, 09 Feb 2026 22:54:29 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898317/014_the_axiom_of_infinity_and_logical_types.mp3" length="16074752" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/8b6b9731-cc09-480a-8e20-37d7eceffb1f/8b6b9731-cc09-480a-8e20-37d7eceffb1f.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/8b6b9731-cc09-480a-8e20-37d7eceffb1f/8b6b9731-cc09-480a-8e20-37d7eceffb1f.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/8b6b9731-cc09-480a-8e20-37d7eceffb1f/8b6b9731-cc09-480a-8e20-37d7eceffb1f.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>2010</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>015 - Incompatibility and the Theory of Deduction</title><link>https://www.spreaker.com/episode/015-incompatibility-and-the-theory-of-deduction--69898319</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898319</guid><pubDate>Mon, 09 Feb 2026 22:54:33 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898319/015_incompatibility_and_the_theory_of_deduction.mp3" length="14247424" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/0064c100-a8d9-4bfc-be74-e75d9836ac7d/0064c100-a8d9-4bfc-be74-e75d9836ac7d.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/0064c100-a8d9-4bfc-be74-e75d9836ac7d/0064c100-a8d9-4bfc-be74-e75d9836ac7d.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/0064c100-a8d9-4bfc-be74-e75d9836ac7d/0064c100-a8d9-4bfc-be74-e75d9836ac7d.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1781</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>016 - Propositional Functions</title><link>https://www.spreaker.com/episode/016-propositional-functions--69898320</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898320</guid><pubDate>Mon, 09 Feb 2026 22:54:37 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898320/016_propositional_functions.mp3" length="15063040" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/db41959f-8ec3-4175-902a-94ad9d23073e/db41959f-8ec3-4175-902a-94ad9d23073e.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/db41959f-8ec3-4175-902a-94ad9d23073e/db41959f-8ec3-4175-902a-94ad9d23073e.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/db41959f-8ec3-4175-902a-94ad9d23073e/db41959f-8ec3-4175-902a-94ad9d23073e.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1883</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>017 - Descriptions</title><link>https://www.spreaker.com/episode/017-descriptions--69898321</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898321</guid><pubDate>Mon, 09 Feb 2026 22:54:48 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898321/017_descriptions.mp3" length="16797696" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/cece9911-1109-47f2-9b43-2b76a83c5002/cece9911-1109-47f2-9b43-2b76a83c5002.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/cece9911-1109-47f2-9b43-2b76a83c5002/cece9911-1109-47f2-9b43-2b76a83c5002.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/cece9911-1109-47f2-9b43-2b76a83c5002/cece9911-1109-47f2-9b43-2b76a83c5002.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>2100</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>018 - Classes</title><link>https://www.spreaker.com/episode/018-classes--69898322</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898322</guid><pubDate>Mon, 09 Feb 2026 22:54:52 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898322/018_classes.mp3" length="15820288" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/004d41cd-3b78-4247-8345-532583caf46c/004d41cd-3b78-4247-8345-532583caf46c.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/004d41cd-3b78-4247-8345-532583caf46c/004d41cd-3b78-4247-8345-532583caf46c.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/004d41cd-3b78-4247-8345-532583caf46c/004d41cd-3b78-4247-8345-532583caf46c.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1978</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item><item><title>019 - Mathematics and Logic</title><link>https://www.spreaker.com/episode/019-mathematics-and-logic--69898325</link><description><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></description><guid isPermaLink="false">https://api.spreaker.com/episode/69898325</guid><pubDate>Mon, 09 Feb 2026 22:54:56 +0000</pubDate><enclosure url="https://dts.podtrac.com/redirect.mp3/api.spreaker.com/download/episode/69898325/019_mathematics_and_logic.mp3" length="15123456" type="audio/mpeg"/><podcast:transcript url="https://transcription.spreaker.com/starship/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73.srt" type="application/x-subrip" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73.txt" type="text/plain" language="en"/><podcast:transcript url="https://transcription.spreaker.com/starship/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73/3ccd8b07-d9bb-44ae-bd90-a0bf7b77fd73.vtt" type="text/vtt" language="en"/><itunes:author>Bertrand Russell</itunes:author><itunes:subtitle>In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians...</itunes:subtitle><itunes:summary><![CDATA[In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)]]></itunes:summary><itunes:duration>1891</itunes:duration><itunes:keywords>analysis,foundations,logic,logicism,mathematics,paradoxes,philosophy,principia,russell,truth</itunes:keywords><itunes:explicit>false</itunes:explicit><itunes:image href="https://d3wo5wojvuv7l.cloudfront.net/t_rss_itunes_square_1400/images.spreaker.com/original/ee3c1a4481e5e756fb28f04d29bb6393.jpg"/><itunes:episodeType>full</itunes:episodeType></item></channel></rss>
