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What is Mathematical, Foundational and Computational Aspects of the Higher Infinite about?

Here is the podcast description for Mathematical, Foundational and Computational Aspects of the Higher Infinite:

The goals of set theory are the analysis of the structure of the Higher Infinite, i.e. Cantor's set-theoretic universe and the elucidation of the nature of infinite mathematical objects and their role in foundational issues underlying mathematics. Moreover, the current standard system of set theory, the Zermelo-Fraenkel axioms with the Axiom of Choice (ZFC), is the usual framework for a large part of mathematics.

Current set-theoretic research on infinity focuses on the following three broad areas: large Cardinals and inner model theory, descriptive set-theoretic methods and classification problems, and infinite combinatorics.

The programme HIF will connect these three main strands of set-theoretic research and other fields of set theory to the wider scope of mathematics, to research in the foundations of mathematics, including some philosophical issues, and to research on computational issues of infinity, e.g. in theoretical computer science and constructive mathematics.

The following topics are a non-exclusive list of important examples of relevant fields for the research done in the programme HIF:1.The structure of definable subsets of the continuum2.Infinite combinatorics, forcing, and large cardinals3.Inner models of large cardinals and aspects of determinacy4.Applications of set theory to other areas of mathematics5.Constructive set theory and new models of computation6.Set theory and the foundations of mathematics

Three workshops are planned during the programme: The first one (24-28 August 2015) will be the 5th European Set Theory Conference. The second workshop, entitled "New challenges in iterated forcing" will be a Satellite Meeting held at the University of East Anglia in Norwich (2-6 November 2015). A final workshop will take place on 14-18 December 2015.

How many episodes of Mathematical, Foundational and Computational Aspects of the Higher Infinite exist?

As of Aug 15th, 2025, Mathematical, Foundational and Computational Aspects of the Higher Infinite has published 76 episodes.

When was the latest episode of Mathematical, Foundational and Computational Aspects of the Higher Infinite?

The latest episode of Mathematical, Foundational and Computational Aspects of the Higher Infinite was published on Dec 23rd, 2015

When did Mathematical, Foundational and Computational Aspects of the Higher Infinite launch?

Mathematical, Foundational and Computational Aspects of the Higher Infinite launched its first episode on Aug 25th, 2015.

Is Mathematical, Foundational and Computational Aspects of the Higher Infinite explicit?

The content of Mathematical, Foundational and Computational Aspects of the Higher Infinite is not explicit.

Who is the author of Mathematical, Foundational and Computational Aspects of the Higher Infinite?

Mathematical, Foundational and Computational Aspects of the Higher Infinite is created by Vincenzo Abete.

Which podcast categories does Mathematical, Foundational and Computational Aspects of the Higher Infinite belong to?

Mathematical, Foundational and Computational Aspects of the Higher Infinite belongs to the following podcast categories:

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Mathematical, Foundational and Computational Aspects of the Higher Infinite is hosted on Unknown.

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Vincenzo Abete
Mathematical, Foundational and Computational Aspects of the Higher Infinite

Mathematical, Foundational and Computational Aspects of the…

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Vincenzo Abete Mathematical, Foundational and Computational Aspects of the Higher Infinite

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Frequently Asked Questions about Mathematical, Foundational and Computational Aspects of the Higher Infinite

How do I contact Mathematical, Foundational and Computational Aspects of the Higher Infinite?

How many listens/downloads does Mathematical, Foundational and Computational Aspects of the Higher Infinite get?

Does Mathematical, Foundational and Computational Aspects of the Higher Infinite accept guest interviews?

How much does it cost to advertise on Mathematical, Foundational and Computational Aspects of the Higher Infinite?

Where does Mathematical, Foundational and Computational Aspects of the Higher Infinite rank on Apple Podcasts charts?

Where does Mathematical, Foundational and Computational Aspects of the Higher Infinite rank on Spotify's podcast charts?

Which brands have sponsored Mathematical, Foundational and Computational Aspects of the Higher Infinite?

What is Mathematical, Foundational and Computational Aspects of the Higher Infinite about?

How many episodes of Mathematical, Foundational and Computational Aspects of the Higher Infinite exist?

When was the latest episode of Mathematical, Foundational and Computational Aspects of the Higher Infinite?

When did Mathematical, Foundational and Computational Aspects of the Higher Infinite launch?

Is Mathematical, Foundational and Computational Aspects of the Higher Infinite explicit?

Who is the author of Mathematical, Foundational and Computational Aspects of the Higher Infinite?

Which podcast categories does Mathematical, Foundational and Computational Aspects of the Higher Infinite belong to?

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Vincenzo Abete
Mathematical, Foundational and Computational Aspects of the Higher Infinite

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