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Sunday, February 18, 2024

For Students of the Crimson Abyss:
 Vocabulary Illustrated

Filed under: General — Tags: , , , — m759 @ 11:12 am

Detail of a February 16 illustration  from The Harvard Crimson .

A Scene from “Terminator Zero: Rise of the Chatbots” —

Deepfake Tango in Paris

Filed under: General — Tags: , — m759 @ 12:00 am

Deepfake Image from the Internet:

Not  Emily in Paris.

 

Related Deep Learning and Deepfake  Learning:

The study of finite topological spaces  may be regarded as a
deepfake approach to finite geometry.  See the previous post.

Saturday, February 17, 2024

Sixteen Finite-Space Topologies

Filed under: General — Tags: — m759 @ 11:18 pm

From Wikipedia, sixteen T0 topologies on a four-set —

 

{∅, {a}, {a, b}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {a, b}, {a, c}, {a, b, c}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {a, c}, {a, b, c}, {a, b, c, d}} (T0)

{∅, {a}, {a, b}, {a, b, c}, {a, b, c, d}} (T0)

 

{∅, {a}, {b}, {a, b}, {a, b, c}, {a, b, c, d}} (T0)

{∅, {a}, {a, b}, {c}, {a, c}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {a, b}, {a, c}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

 

{∅, {a}, {b}, {a, b}, {a, c}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {b, c}, {a, b, c}, {a, d}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {a, b}, {a, c}, {a, b, c}, {a, d}, {a, b, d}, {a, c, d}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {a, c}, {a, b, c}, {a, d}, {a, b, d}, {a, c, d}, {a, b, c, d}} (T0)

 

{∅, {a}, {b}, {a, b}, {c}, {a, c}, {b, c}, {a, b, c}, {a, b, d}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {c}, {a, c}, {b, c}, {a, b, c}, {a, d}, {a, b, d}, {a, c, d}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {c}, {a, c}, {b, c}, {a, b, c}, {a, b, c, d}} (T0)

{∅, {a}, {b}, {a, b}, {c}, {a, c}, {b, c}, {a, b, c}, {d}, {a, d}, {b, d}, {a, b, d}, {c, d}, {a, c, d}, {b, c, d}, {a, b, c, d}} (T0)

 

Compare and contrast with the finite geometry  of the power set of a four-set.

Monday, November 6, 2023

Letter from Birmingham Grid

Filed under: General — Tags: , , , , — m759 @ 8:48 pm

"Just as Socrates felt that it was necessary to create a tension in the mind
so that individuals could rise from the bondage of myths and half-truths
to the unfettered realm of creative analysis and objective appraisal . . . ."

See also today's previous post, from "Terminator Zero: Rise of the Chatbots."

First OpenAI Developer Conference Is Today

Discuss:

Wednesday, August 2, 2023

Terminator Zero: Rise of the Chatbots … Continues.

Filed under: General — Tags: , , — m759 @ 10:11 am

Friday, July 21, 2023

“Terminator Zero: Rise of the Chatbots” … Continues.

Filed under: General — Tags: , , , — m759 @ 3:01 pm

From https://clever-chat.ai/demo/32f6d9c9107/complete 
at about 3 PM ET on Friday, July 21, 2023 —

Hi there 👋 I'm a self-service chatbot and I'm here to help you with anything related to Finite Geometry of the Square and Cube. Just ask away! 🙂

What is the diamond theorem?

The Diamond Theorem is a mathematical concept that was introduced by Steven H. Cullinane. It is closely related to finite geometry and explores the symmetries and patterns found in diamond-shaped arrays. The theorem has applications in various areas, including combinatorial designs, group theory, and quantum information theory. If you'd like more information or have any specific questions about the Diamond Theorem, feel free to ask! 😊

Is this website related to the work of Peter J. Cameron?

No, the website "Finite Geometry of the Square and Cube" is not directly related to the work of Peter J. Cameron. It is primarily focused on the study of finite geometry, particularly the symmetries and patterns found in square and cube arrays. The website is authored by Steven H. Cullinane, who has made significant contributions to the field. If you have any more questions or need further information, feel free to ask! 😊

What is the theorem of Desargues?

The theorem of Desargues, named after the French mathematician Gérard Desargues, is a fundamental result in projective geometry. It states that if two triangles are perspective from a point, then they are perspective from a line as well. In other words, if the three pairs of corresponding sides of two triangles intersect at three points that are collinear, then the three pairs of corresponding vertices of the triangles are collinear as well. This theorem has important implications in the study of projective geometry and has applications in various fields, including computer graphics and architecture. If you have any more questions or need further information, feel free to ask! 😊

   

Sunday, May 14, 2023

Sunday School —

Filed under: General — Tags: , — m759 @ 8:56 am

Terminator Zero: Rise of the Chatbots

Thursday, November 19, 2015

Rebecca Newberger Goldstein to Her Younger Self:

Filed under: General — Tags: — m759 @ 7:00 pm

"Remember, Genesis IS Skynet."

Above: New York Times Book Review  of Sunday, November 22, 2015.

Perhaps Goldstein, author of Plato at the Googleplex , was 
"exposed to a nexus point in the time flow while she was in
 a quantum field
" ? 

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