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Josh Hoffman: on 3/25/22 at 0:32am UTC, wrote Chair: Ariel Zeleznikow-Johnston Speakers: Johannes Kleiner, LMU ...


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click titles to read articles

The Math of Consciousness: Q&A with Kobi Kremnitzer
A meditating mathematician is developing a theory of conscious experience to help understand the boundary between the quantum and classical world.

Can We Feel What It’s Like to Be Quantum?
Underground experiments in the heart of the Italian mountains are testing the links between consciousness and collapse theories of quantum physics.

The Thermodynamic Limits of Intelligence: Q&A with David Wolpert
Calculating the energy needed to acquire and compute information could help explain the (in)efficiency of human brains and guide the search for extra-terrestrial intelligence.

Gambling Against the Second Law
Using precision thermometry to make mini heat engines, that might, momentarily, bust through the thermodynamic limit.

Mind and Machine: What Does It Mean to Be Sentient?
Using neural networks to test definitions of 'autonomy.'

July 7, 2022

CATEGORY: Blog [back]
TOPIC: Consciousness Talks 10: Mathematical Phenomenology 1 - Kleiner & Saigo by Hayato Saigo [refresh]
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FQXi Administrator Josh Hoffman wrote on Mar. 25, 2022 @ 00:32 GMT
Chair: Ariel Zeleznikow-Johnston


Johannes Kleiner, LMU

Title: “Qualitative Structure, Automorphism Groups and Private Language”

Abstract: It is generally agreed upon that qualities of conscious experience instantiate structural properties, usually called relations. They furnish a representation of qualities (or qualia, in fact) in terms of a mathematical space Q (rather than a set), which is crucial to both modelling and measuring of conscious experience.

What is usually disregarded is that “only such structural properties generalize across individuals” (Austen Clark), but that qualities themselves as differentiated by stimulus specifications, behavior or reports do not. We show that this implies that only the part of Q which is invariant with respect to the automorphism group has a well-defined referent, while individual elements do not. This poses a prima facie limitation of any theory or experiment that aims to address individual qualities. We show how mathematical theories of consciousness can overcome this limitation via symmetry groups and group actions, making accessible to science what is properly called private language.

Hayato Saigo, NIBST

Title: “3 Reasons Why You Should Care About Category Theory”

Abstract: Category theory is a branch of mathematics which have been used to organize various regions of mathematics and related sciences from a radical “relation-first” point of view. Why consciousness researchers should care about category theory?

There are (at least) 3 reasons:

1 Everything is relational

2 Everything is relation

3 Relation is everything

In this talk we explain the reasons above more concretely and introduce the ideas to utilize basic concepts in category theory for consciousness studies.

Keywords: #Consciousness #Saigo #Catagory_Theory #Relational_Dynamics

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