Log24

Friday, March 7, 2025

Bridge of Sighs
For Neurodivergent Math Campers

Filed under: General — Tags: , , — m759 @ 11:14 am

Detail from the previous post

Related photography memory . . .

Photo by Marcela Nowak

Scholium for Apple TV, whose series "Prime Target" just ended

See as well the "Bridge of Sighs" post of Thursday, Feb. 27.

Cha-ching!

Filed under: General — Tags: , — m759 @ 11:04 am

Sunday, December 29, 2024

For Harlan Kane: Husserl vs. Verhexung

Filed under: General — Tags: , , — m759 @ 1:17 pm

"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."

— Wittgenstein, Philosophical Investigations  (1953),  
Section 109
 

"The newly redesigned Museum of Modern art
bracketed a rectangular open space."

— Photo caption in a Dec. 23 New York Times  obituary
 

"The literature is replete with explanations of the benefits of
bracketing
, not only in phenomenological studies but in other
types of qualitative research."

— Thomas, S. P., & Sohn, B. K. (2023).
From Uncomfortable Squirm to Self-Discovery:
A Phenomenological Analysis of the Bracketing Experience.
International Journal of Qualitative Methods, 22.
https://doi.org/10.1177/16094069231191635 

 

An application of the Husserl approach to Verhexung

Bracketing the phrase "Galois space" in the literature yields different
mathematical concepts, some derived from "Galois geometry," some
from "topological space."

The former relates to structures with a finite number of points, the latter
to structures with an infinite number of points. Sometimes the two sorts
of structure are related to one another.  For example . . .

Square and Rectangle, 16 and 24

Saturday, December 28, 2024

For Holy Innocents Day:  Open-Ended Architecture

Filed under: General — Tags: , — m759 @ 11:00 pm

— Photo by Marcela Nowak

Friday, August 20, 2021

Diamond Brackets*

Filed under: General — Tags: , , , — m759 @ 9:57 am

For more on the phrase "diamond brackets," see the post
Artistic Style of July 24, 2018.

This was the dies natalis  (in the Catholic sense) of philosophy
professor Garth L. Kemerling.

From Kemerling's internet "Philosophy Pages" —

"First, it must be possible in principle to arrange and organize
the chaos of our many individual sensory images by tracing
the connections that hold among them. This Kant called
the synthetic unity of the sensory manifold.

Second, it must be possible in principle for a single subject
to perform this organization by discovering the connections
among perceived images. This is satisfied by what Kant called
the transcendental unity of apperception."

Related Log24 phrases —

"Intake Manifold" and "Bulk Apperception."

* See also Bracketing (phenomenology) in Wikipedia.

Saturday, September 15, 2018

Eidetic Reduction in Geometry

 

"Husserl is not the greatest philosopher of all times.
He is the greatest philosopher since Leibniz."

Kurt Gödel as quoted by Gian-Carlo Rota

Some results from a Google search —

Eidetic reduction | philosophy | Britannica.com

Eidetic reduction, in phenomenology, a method by which the philosopher moves from the consciousness of individual and concrete objects to the transempirical realm of pure essences and thus achieves an intuition of the eidos (Greek: “shape”) of a thing—i.e., of what it is in its invariable and essential structure, apart …

Phenomenology Online » Eidetic Reduction

The eidetic reduction: eidos. Method: Bracket all incidental meaning and ask: what are some of the possible invariate aspects of this experience? The research …

Eidetic reduction – New World Encyclopedia

Sep 19, 2017 – Eidetic reduction is a technique in Husserlian phenomenology, used to identify the essential components of the given phenomenon or experience.

Terminology: Eidos

For example —

The reduction of two-colorings and four-colorings of a square or cubic
array of subsquares or subcubes to lines, sets of lines, cuts, or sets of
cuts between the subsquares or subcubes.

See the diamond theorem and the eightfold cube.

* Cf. posts tagged Interality and Interstice.

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