Search FQXi


If you are aware of an interesting new academic paper (that has been published in a peer-reviewed journal or has appeared on the arXiv), a conference talk (at an official professional scientific meeting), an external blog post (by a professional scientist) or a news item (in the mainstream news media), which you think might make an interesting topic for an FQXi blog post, then please contact us at forums@fqxi.org with a link to the original source and a sentence about why you think that the work is worthy of discussion. Please note that we receive many such suggestions and while we endeavour to respond to them, we may not be able to reply to all suggestions.

Please also note that we do not accept unsolicited posts and we cannot review, or open new threads for, unsolicited articles or papers. Requests to review or post such materials will not be answered. If you have your own novel physics theory or model, which you would like to post for further discussion among then FQXi community, then please add them directly to the "Alternative Models of Reality" thread, or to the "Alternative Models of Cosmology" thread. Thank you.

Forum Home
Introduction
Terms of Use

Order posts by:
 chronological order
 most recent first

Posts by the blogger are highlighted in orange; posts by FQXi Members are highlighted in blue.

By using the FQXi Forum, you acknowledge reading and agree to abide by the Terms of Use

 RSS feed | RSS help
RECENT POSTS IN THIS TOPIC

Johannes Kleiner: on 7/3/20 at 11:43am UTC, wrote Abstract: I present a mathematical definition of qualia from which a toy...


RECENT FORUM POSTS

John Cox: "Georgina, beg pard, are you suggesting that the unpaired Ag electron is..." in Answering Mermin’s...

Stefan Weckbach: "The interaction of the gyroscope with the magnetic field in your reference..." in Answering Mermin’s...

Steve Dufourny: "Hello Jim, this time seems a parameter inside this physicality correlated..." in The Nature of Time

Jim Snowdon: "Hi Steve, On the nature of time, we can assume that time exists..." in The Nature of Time

Steve Dufourny: "Hi Prasad, it is a philosophical approach interesting. Like I see you..." in Alternative Models of...

Steve Dufourny: "Hi all, I am occupied here in finland in creating several projects like a..." in Global Collaboration

jim hughes: "We can probably say a lot more about the content of consciousness. But we..." in Understanding...

PRASAD DIVATE: "Hi all, I would like to add one more point here in different context: In..." in Understanding...


RECENT ARTICLES
click titles to read articles

Time to Think
Philosopher Jenann Ismael invokes the thermodynamic arrow of time to explain how human intelligence emerged through culture.

Lockdown Lab Life
Grounded physicists are exploring the use of online and virtual-reality conferencing, and AI-controlled experiments, to maintain social distancing. Post-pandemic, these positive innovations could make science more accessible and environmentally-friendly.

Is Causality Fundamental?
Untangling how the human perception of cause-and-effect might arise from quantum physics, may help us understand the limits and the potential of AI.

Building Agency in the Biology Lab
Physicists are using optogenetics techniques to make a rudimentary agent, from cellular components, which can convert measurements into actions using light.

Think Quantum to Build Better AI
Investigating how quantum memory storage could aid machine learning and how quantum interactions with the environment may have played a role in evolution.


FQXi BLOGS
December 2, 2020

CATEGORY: Blog [back]
TOPIC: Sketches of a mathematical theory of qualia by Pedro Resende [refresh]
Bookmark and Share
Login or create account to post reply or comment.

Blogger Johannes Kleiner wrote on Jul. 3, 2020 @ 11:43 GMT
Abstract: I present a mathematical definition of qualia from which a toy model of consciousness is derived, partly as an attempt to provide a mathematical formulation of the theory of qualia and concepts put forward by C.I. Lewis in 1929. This formulation is guided by the identification of basic principles that convey abstract aspects of the behavior of physical devices that “detect” qualia, such as brains of animals seem to do. The ensuing notion of space of qualia consists of a topological space Q equipped with additional algebraic structure that yields a notion of subjective time and makes Q a so-called stably Gelfand quantale. This leads to interesting conceptual consequences. For instance, “stable observers” emerge naturally and relate closely to the perception of space, which here, contrary to time, is not a primitive notion; and logical versions of quantum superposition and complementarity are obtained. Indeed a mathematical relation exists to quantum theory via operator algebras, due to which a space of qualia can also be regarded as an algebraic and topological model of quantum measurements.



Keywords: #Models of consciousness

Bookmark and Share
report post as inappropriate

This forum thread is open to the public.


Login or create account to post reply or comment.

Please enter your e-mail address:
Note: Joining the FQXi mailing list does not give you a login account or constitute membership in the organization.