Log24

Thursday, April 27, 2023

Point of View

Filed under: General — m759 @ 3:57 pm

The reference to metaphysics in today's previous post
suggests a review of the phrase "logical point of view."

Wednesday, November 2, 2011

The Poetry of Universals

Filed under: General,Geometry — Tags: — m759 @ 7:59 pm

A search today, All Souls Day, for relevant learning
at All Souls College, Oxford, yields the person of
Sir Michael Dummett and the following scholarly page—

(Click to enlarge.)

http://www.log24.com/log/pix11C/111102-CrispinWright222-360w.jpg

My own background is in mathematics rather than philosophy.
From a mathematical point of view, the cells discussed above
seem related to some "universals" in an example of Quine.

In Quine's example,* universals are certain equivalence classes
(those with the "same shape") of a family of figures
(33 convex regions) selected from the 28 = 256 subsets
of an eight-element set of plane regions.

A smaller structure, closer to Wright's concerns above,
is a universe of 24 = 16 subsets of a 4-element set.

The number of elements in this universe of Concepts  coincides,
as it happens, with the number obtained by multiplying out
the title of T. S. Eliot's Four Quartets .

For a discussion of functions that map "cells" of the sort Wright
discusses— in the quartets example, four equivalence classes,
each with four elements, that partition the 16-element universe—
onto a four-element set, see Poetry's Bones.

For some philosophical background to the Wright passage
above, see "The Concept Horse," by Harold W. Noonan—
Chapter 9, pages 155-176, in Universals, Concepts, and Qualities ,
edited by P. F. Strawson and Arindam Chakrabarti,
Ashgate Publishing, 2006.

For a different approach to that concept, see Devil's Night, 2011.

* Admittedly artificial. See From a Logical Point of View , IV, 3

Sunday, January 2, 2011

Horseness

Filed under: General,Geometry — Tags: , , — m759 @ 11:00 am

"Art has to reveal to us ideas, formless spiritual essences."

— A character clearly talking nonsense, from the National Library section of James Joyce's Ulysses

"Unsheathe your dagger definitions. Horseness is the whatness of allhorse."

— A thought of Stephen Dedalus in the same Ulysses  section

For a representation of horseness related to Singer's dagger definitions in Saturday evening's post, see Generating the Octad Generator and Art Wars: Geometry as Conceptual Art.

More seriously, Joyce's "horseness" is related to the problem of universals. For an illuminating approach to universals from a psychological point of view, see James Hillman's Re-Visioning Psychology  (Harper Collins, 1977). (See particularly pages 154-157.)

Wednesday, June 25, 2008

Wednesday June 25, 2008

Filed under: General — m759 @ 2:02 am
Born 100 years ago today:

Willard Van Orman Quine, picture from cover of his autobiography

From A Logical Point of View,  Harvard U. Press, 1980, p. 72
From A Logical Point of View,  Harvard U. Press, 1980, p. 73
Other approaches to the
eight-ray star figure

Figure by Quine for an argument against univesals in 'From a Logical Point of View'

have been sketched in
various Log24 entries.

See, for instance, the
June 21 entries on
the Kyoto Prize for
arts and philosophy.
Quine won this prize
 in 1996.

Quine’s figure, cited in an
argument against universals,
is also a classic symbol for
the morning or evening star.

This year’s winner http://www.log24.com/images/asterisk8.gif
of the Kyoto Prize has
a more poetic approach
to philosophy:

“… the object sets up
 a kind of frame or space or field
   within which there can be epiphany.”

For one such frame or space,
a Mexican cantina, see
Shining Forth.

See also Damnation Morning and
The Devil and Wallace Stevens.

http://www.log24.com/images/asterisk8.gif Charles Taylor.  See
“Epiphanies of Modernism,”
Chapter 24 of Sources of the Self
  (Cambridge U. Press, 1989, p. 477)

Sunday, May 20, 2007

Sunday May 20, 2007

Filed under: General,Geometry — m759 @ 8:00 am
Plato and Shakespeare:
Solid and Central

"I have another far more solid and central ground for submitting to it as a faith, instead of merely picking up hints from it as a scheme. And that is this: that the Christian Church in its practical relation to my soul is a living teacher, not a dead one. It not only certainly taught me yesterday, but will almost certainly teach me to-morrow. Once I saw suddenly the meaning of the shape of the cross; some day I may see suddenly the meaning of the shape of the mitre. One free morning I saw why windows were pointed; some fine morning I may see why priests were shaven. Plato has told you a truth; but Plato is dead. Shakespeare has startled you with an image; but Shakespeare will not startle you with any more. But imagine what it would be to live with such men still living, to know that Plato might break out with an original lecture to-morrow, or that at any moment Shakespeare might shatter everything with a single song. The man who lives in contact with what he believes to be a living Church is a man always expecting to meet Plato and Shakespeare to-morrow at breakfast. He is always expecting to see some truth that he has never seen before."

— G. K. Chesterton, Orthodoxy, Ch. IX

From Plato, Pegasus, and the Evening Star (11/11/99):
 

"Nonbeing must in some sense be, otherwise what is it that there is not? This tangled doctrine might be nicknamed Plato's beard; historically it has proved tough, frequently dulling the edge of Occam's razor…. I have dwelt at length on the inconvenience of putting up with it. It is time to think about taking steps."
— Willard Van Orman Quine, 1948, "On What There Is," reprinted in From a Logical Point of View, Harvard University Press, 1980

"The Consul could feel his glance at Hugh becoming a cold look of hatred. Keeping his eyes fixed gimlet-like upon him he saw him as he had appeared that morning, smiling, the razor edge keen in sunlight. But now he was advancing as if to decapitate him."
— Malcolm Lowry, Under the Volcano, 1947, Ch. 10

 

"O God, I could be
bounded in a nutshell
and count myself
a king of infinite space,
were it not that
I have bad dreams."
Hamlet

Coxeter: King of Infinite Space

Coxeter exhuming geometry

From today's newspaper:

Dilbert on space, existence, and the dead

Notes:

For an illustration of
the phrase "solid and central,"
see the previous entry.

For further context, see the
five Log24 entries ending
on September 6, 2006
.

For background on the word
"hollow," see the etymology of
 "hole in the wall" as well as
"The God-Shaped Hole" and
"Is Nothing Sacred?"

For further ado, see
Macbeth, V.v
("signifying nothing")
and The New Yorker,
issue dated tomorrow.

Saturday, February 10, 2007

Saturday February 10, 2007

Filed under: General — m759 @ 10:00 am
NUMB3RS

Willard Van Orman Quine on the title of his book From A Logical Point of View (Harvard University Press): “Henry Aiken and I were with our wives in a Greenwich Village nightspot when I told him of the plan, and Harry Belafonte had just sung the calypso ‘From a logical point of view.’ Henry noted that this would do nicely as a title for the volume, and so it did.”

Come, Mister Tally Man…

Catherine O'Hara in Beetlejuice

From this morning,
eight consecutive Xanga
footprints from Great Britain:
 

/524459252/item.html newsdor.com 8:25 AM
/490604390/item.html newsdor.com 8:25 AM
/426273644/item.html newsdor.com 8:25 AM
/569157082/annals-… newsdor.com 8:25 AM
/524081776/item.html newsdor.com 8:25 AM
/446066083/item.html newsdor.com 8:24 AM
/522299668/item.html newsdor.com 8:24 AM
/447354678/item.html newsdor.com 8:24 AM

Saturday, November 12, 2005

Saturday November 12, 2005

Filed under: General — m759 @ 7:00 pm

State of Grace
On this date in 1929,
Grace Kelly was born.

Enough —
    the first Abode
On the familiar Road
Galloped in Dreams —

— Emily Dickinson

 

“Nonbeing must in some sense be, otherwise what is it that there is not? This tangled doctrine might be nicknamed Plato’s beard; historically it has proved tough, frequently dulling the edge of Occam’s razor…. I have dwelt at length on the inconvenience of putting up with it. It is time to think about taking steps.”

— Willard Van Orman Quine, 1948, “On What There Is,” reprinted in From a Logical Point of View, Harvard University Press, 1980

“Item: Friar Guillaume’s razor
ne’er shaved the barber,
it is much too dull.”

— Robert A. Heinlein
  Glory Road

Related material:
Plato, Pegasus, and
the Evening Star

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