Set theory | Philosophy of mathematics | Foundations of mathematics

Multiverse (set theory)

In mathematical set theory, the multiverse view is that there are many models of set theory, but no "absolute", "canonical" or "true" model. The various models are all equally valid or true, though some may be more useful or attractive than others. The opposite view is the "universe" view of set theory in which all sets are contained in some single ultimate model. The collection of countable transitive models of ZFC (in some universe) is called the hyperverse and is very similar to the "multiverse". A typical difference between the universe and multiverse views is the attitude to the continuum hypothesis. In the universe view the continuum hypothesis is a meaningful question that is either true or false though we have not yet been able to decide which. In the multiverse view it is meaningless to ask whether the continuum hypothesis is true or false before selecting a model of set theory. Another difference is that the statement "For every transitive model of ZFC there is a larger model of ZFC in which it is countable" is true in some versions of the multiverse view of mathematics but is false in the universe view. (Wikipedia).

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What the heck is a Multiverse?

The idea of a multiverse (short for multiple universes) can seem absurd. After all, the definition of universe means everything, so what does it mean to have multiple universes? In this video, Fermilab’s Dr. Don Lincoln lists a couple possible definitions for a multiverse. The reality in

From playlist Speculative Physics

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The multiverse hypothesis: Is our universe the only one?

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From playlist Physics

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Why the multiverse is religion, not science.

In this video I explain why the multiverse hypothesis is logically equivalent to the hypothesis that god exists, and therefore is not scientific. I also address the common objections that physicists raise to this. First, they will claim that I am saying the multiverse does not exist. Bu

From playlist Physics

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Do we live in a multiverse?

One of the most outlandish ideas in modern physics is the multiverse - the idea that there exist multiple universes. Given that scientists tend to be fairly conservative and that this idea seems like a such a reach, it is natural to wonder why this idea is seriously discussed in leading s

From playlist Speculative Physics

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Multiverse - What do scientists think?

Scientific arguments regarding a multiverse. My Patreon page is at https://www.patreon.com/EugeneK 00:00 Multiverse Introduction 01:32 Galaxies 03:00 Cosmic Inflation 05:39 String Theory 06:42 Bubble Universes 08:20 Fine Tunned Universe 10:32 Arguments against fine tuning 13:50 Inverse G

From playlist Physics

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The Multiverse, Science or Science Fiction? | Sean Carroll

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From playlist Science

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Can a Multiverse ever be "real"? - Sixty Symbols

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From playlist Multiverse - Sixty Symbols

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The Multiverse is real. Just not in the way you think it is. | Sean Carroll

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From playlist Space & physics

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Multiverse: One Universe or Many?

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From playlist Explore the World Science Festival

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How Many Multiverses Are There?

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From playlist The Entire History of the Universe

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The Multiverse: What's Real? | Episode 1801 | Closer To Truth

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From playlist Closer To Truth | Season 18

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The Multiverse: Quantum Genesis | Introductory Astronomy Course 10.11

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From playlist Introductory Astronomy Module 10: Cosmology

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Anthony Aguirre - Did God Create Multiple Universes?

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From playlist Big Questions About God - Closer To Truth - Core Topic

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Could the Multiverse Actually Be Real?

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From playlist Science of Marvel and the MCU | Life Noggin

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Quantum Mechanics and Alternate Worlds | Star Trek and the Multiverse Theory

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From playlist Latest Uploads

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The Universe in 90 minutes: Time, free will, God, & more | Sean Carroll

Everything you ever wanted to know about parallel universes, time, entropy, free will and more, explained by physicist Sean Carroll. Subscribe to Big Think on YouTube ► https://www.youtube.com/channel/UCvQECJukTDE2i6aCoMnS-Vg?sub_confirmation=1 Up next, Michio Kaku: The Universe in a nuts

From playlist Space & physics

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Multiverse: In the Beginning

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From playlist Science Shorts and Explainers

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From playlist Closer To Truth | Season 19

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Set theory | Zermelo–Fraenkel set theory