PEIRCE-L Digest for Wednesday, November 20, 2002.
[NOTE: This record of what has been posted to PEIRCE-L
has been nodified by omission of redundant quotations in
the messages. both for legibility and to save space.
-- Joseph Ransdell, PEIRCE-L manager/owner]
1. Williams on Truth, Truthfulness, and History
2. RE: Identity, att: Cathy
3. Re: pynchon and peirce
4. re: pynchon and peirce
5. [Fwd: Seminar on Logic and Games]
6. Re: Critique Of Functional Reason
7. Re: Critique Of Functional Reason
8. Re: Critique Of Functional Reason
9. RE: Identity, att: Cathy
10. Re: Identity
11. Re: pynchon and peirce
12. computational mechanics and peirce
13. Re: computational mechanics and peirce
14. Re: Limited Mark Universes
15. Re: pynchon and peirce [and Santayana?]
16. Santayana and literary studies
17. RE: pynchon and peirce
18. Re: pynchon and peirce [and Santayana?]
19. Re: Identity and Teridentity: to Bernard (fwd)
20. Re: computational mechanics and peirce
21. Re: pynchon and peirce [and Santayana?]
22. Re: Hermeneutic Equivalence Classes
23. RE: pynchon and peirce
24. RE: pynchon and peirce
25. prigogine and peirce
26. Re: prigogine and peirce
27. Manifolds of Sensuous Impressions
28. Re: Hermeneutic Equivalence Classes
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Subject: Williams on Truth, Truthfulness, and History
From:
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Subject: re: pynchon and peirce
From: Jon Awbrey <
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Subject: [Fwd: Seminar on Logic and Games]
From: Jon Awbrey <
Subject: Re: Critique Of Functional Reason From: Jon Awbrey <jawbrey[…]oakland.edu> Date: Wed, 20 Nov 2002 08:48:35 -0500 X-Message-Number: 6 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o CFR. Note 15 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o I have presented my thesis and my inquiry: | Thesis. Mathematics and its applications in physics | and the other special sciences are serving moderately | successfully to describe the world as we know it today, | while logic lags behind in a largely ineffectual state. | | Inquiry. Why is this? I have sketched the outlines of a diagnosis, a syndrome suggestive of retinal detachment, affecting the stereoscopy of data and logic. Still ... The diagnosis of a severe disorder can hardly be useful, much less welcome, if it is delivered in the absence of some orderly array of differential indications, issuing in the prescription of measures to be taken toward the remedy of the presenting and the underlying conditions. So it falls on us to ask ourselves the critical question: What is the rest of science doing so right that logic is still stubbornly doing so wrong? For all of the various other sciences, in the main and in the mean, have passed through their crises, several and severe, the distempers of infancy, childhood, adolescence, if not yet maturity, and they've done so in times not so remote on the scale of intellectual history to be yet lost to our cultural memories. They have taken their medicine, and learned not a few hard lessons from the experience, but logic lingers on with no show of improvement, sick with its hangovers from times that we but wish were immemorial. Well, I've been following a clue all along to what I think might just be the Rx of choice, a recipe that I've kept in my mind in plain view, all this time in my present subject line -- if logic is non-functional, then let's make it functional. And how to do that I will now describe. I redraw my sketch of the immediate situation, an icon of the dis-integration that currently exists between the empirical and the rational views of the universe, and this time I dab in a few patches of color from the palette of data that I gathered in my travels from Omaha to Perth. Let us now return to the statement that I will mark as "s": s = "If Perth is 400 miles from Omaha then Perth is in America". I parse it, at first sight, in the following fashion: u = "Perth is 400 miles from Omaha", v = "Perth is in America", s = ( u ( v )) = not u without v, s = ( Perth is 400 miles from Omaha ( Perth is in America )). You have noticed, of course, that I have already forgotten all of Quine's fine distinctions, which I always do just about two days after I try to memorize them. I will have to justify it, later. And here is my picture of the dataset YMMV : {Omaha} -> {Perth} o-----------------------------------------------------------------------o | X | | | | o---------------o o---------------o | | / \ / * * * * * \ * * | | / . * * * * * \ | | / / \ * * * * * \ * * | | / / \ * * * * * \ | | / / \ * * * * * \ * * | | o o o * * * * * o | | | | | * * * * * | * * | | | | | * * * * * | | | | U | * | V | * * | | | | | * * * * * | | | | | | * * * * * | * * | | o o o * * * * * o | | \ \ / * * * * * / * * | | \ \ / * * * * * / | | \ \ / * * * * * / * * | | \ . * * * * * / | | \ / \ * * * * * / * * | | o---------------o o---------------o | | | | 99 = 1 + 80 + 18 | o-----------------------------------------------------------------------o Figure 2. Your Mileage May Vary: From Omaha To Perth Table 3. Your Mileage May Vary: From Omaha To Perth o----o------------------------------------------------------------------o | | DE IN KS MN MS ND NV NY VA NB ON | o----o------------------------------------------------------------------o | | | | | - + - + - + - + - + - + - + - + - + - - - - | | AL | 839 563 892 1203 411 1619 2356 1112 515 1577 1202 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | AR | 1143 457 337 654 439 1052 1747 1266 1029 1757 1250 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | GA | 892 670 976 1310 415 1726 2463 1165 569 1635 1260 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | IL | 823 176 622 758 540 1174 1904 950 665 1452 945 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | KY | 577 389 958 960 744 1376 2240 825 315 1298 891 | | | | | | - + + + - + - + - + - + - + - + - + - - - - | | MO | 1069 400 403 379 797 844 1595 1134 1012 1542 1035 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | NE | 1201 598 348 425 893 642 1380 1242 1195 1672 1166 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | TX | 1317 724 393 925 338 1323 1909 1499 1055 2083 1511 | | | | | | - + - + - + - + - + - + - + - + - + - - - - | | VA | 526 425 994 996 735 1411 2276 774 264 1264 881 | | | | o----o------------------------------------------------------------------o o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o ---------------------------------------------------------------------- Subject: Re: Critique Of Functional Reason From: Jon Awbrey <jawbrey[…]oakland.edu> Date: Wed, 20 Nov 2002 09:30:14 -0500 X-Message-Number: 7 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o CFR. Note 16 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o Sixteen Functions For future reference, I record here the sixteen propositional forms on two logical variables, expressed or illustrated in four different ways. Also, I include two families of convenient nicknames that I frequently use for these functions: The "F" series codifies the "truth table" of each proposition as a binary numeral in its subscript. The "f" series employs as its subscript the decimal equivalent of this binary numeral. o-----------------------------o-----------------------------o | | | | F_0000 | f_0 | | | | | 1 + | | | | | | | | | 0 --->o---o---o---o---o---> | ( ) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | / \/ \ | | | | | / /\ \ | | | | | / U / \ V \ | | | | | \ \ / / | | | | | \ \/ / | | o | | | \ /\ / | | | | | | \/ \/ | | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_0001 | f_1 | | | | | 1 + o---o | | | |%%%| | | | |%%%| | | | 0 --->o---o---o---o o---> | (u) (v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/ \/ \%%%%| | | | |%%%/ /\ \%%%| | | | |%%/ U / \ V \%%| | | | |%%\ \ / /%%| | u v | | |%%%\ \/ /%%%| | o o | | |%%%%\ /\ /%%%%| | \ / | | |%%%%%\/ \/%%%%%| | \ / | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_0010 | f_2 | | | | | 1 + o---o | | | |%%%| | | | |%%%| | | | 0 --->o---o---o o---o---> | (u) v | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | / \/%%\ | | | | | / /\%%%\ | | | | | / U / \%V%\ | | | | | \ \ /%%%/ | | | | | \ \/%%%/ | | u o | | | \ /\%%/ | | | | | | \/ \/ | | | | | o----------------o | @ v | | | | o-----------------------------o-----------------------------o | | | | F_0011 | f_3 | | | | | 1 + o---o---o | | | |%%%%%%%| | | | |%%%%%%%| | | | 0 --->o---o---o o---> | (u) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/ \/%%\%%%%| | | | |%%%/ /\%%%\%%%| | | | |%%/ U / \%V%\%%| | | | |%%\ \ /%%%/%%| | u | | |%%%\ \/%%%/%%%| | o | | |%%%%\ /\%%/%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_0100 | f_4 | | | | | 1 + o---o | | | |%%%| | | | |%%%| | | | 0 --->o o---o---o---o---> | u (v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | /%%\/ \ | | | | | /%%%/\ \ | | | | | /%U%/ \ V \ | | | | | \%%%\ / / | | | | | \%%%\/ / | | o v | | | \%%/\ / | | | | | | \/ \/ | | | | | o----------------o | u @ | | | | o-----------------------------o-----------------------------o | | | | F_0101 | f_5 | | | | | 1 + o---o o---o | | | |%%%| |%%%| | | | |%%%| |%%%| | | | 0 --->o o---o---o o---> | (v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/%%\/ \%%%%| | | | |%%%/%%%/\ \%%%| | | | |%%/%U%/ \ V \%%| | | | |%%\%%%\ / /%%| | v | | |%%%\%%%\/ /%%%| | o | | |%%%%\%%/\ /%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_0110 | f_6 | | | | | 1 + o---o o---o | | | |%%%| |%%%| | | | |%%%| |%%%| | | | 0 --->o o---o o---o---> | (u , v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | /%%\/%%\ | | | | | /%%%/\%%%\ | | | | | /%U%/ \%V%\ | | | | | \%%%\ /%%%/ | | u v | | | \%%%\/%%%/ | | o-----o | | | \%%/\%%/ | | \ / | | | \/ \/ | | \ / | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_0111 | f_7 | | | | | 1 + o---o o---o---o | | | |%%%| |%%%%%%%| | | | |%%%| |%%%%%%%| | | | 0 --->o o---o o---> | (u v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/%%\/%%\%%%%| | | | |%%%/%%%/\%%%\%%%| | | | |%%/%U%/ \%V%\%%| | | | |%%\%%%\ /%%%/%%| | u v | | |%%%\%%%\/%%%/%%%| | o | | |%%%%\%%/\%%/%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1000 | f_8 | | | | | 1 + o---o | | | |%%%| | | | |%%%| | | | 0 --->o---o o---o---o---> | u v | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | / \/ \ | | | | | / /\ \ | | | | | / U /%%\ V \ | | | | | \ \%%/ / | | | | | \ \/ / | | | | | \ /\ / | | | | | \/ \/ | | u v | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1001 | f_9 | | | | | 1 + o---o o---o | | | |%%%| |%%%| | | | |%%%| |%%%| | | | 0 --->o---o o---o o---> | ((u , v)) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/ \/ \%%%%| | u v | | |%%%/ /\ \%%%| | o-----o | | |%%/ U /%%\ V \%%| | \ / | | |%%\ \%%/ /%%| | \ / | | |%%%\ \/ /%%%| | o | | |%%%%\ /\ /%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1010 | f_10 | | | | | 1 + o---o---o | | | |%%%%%%%| | | | |%%%%%%%| | | | 0 --->o---o o---o---> | v | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | / \/%%\ | | | | | / /\%%%\ | | | | | / U /%%\%V%\ | | | | | \ \%%/%%%/ | | | | | \ \/%%%/ | | | | | \ /\%%/ | | | | | \/ \/ | | v | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1011 | f_11 | | | | | 1 + o---o---o---o | | | |%%%%%%%%%%%| | | | |%%%%%%%%%%%| | | | 0 --->o---o o---> | (u (v)) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/ \/%%\%%%%| | | | |%%%/ /\%%%\%%%| | v o | | |%%/ U /%%\%V%\%%| | | | | |%%\ \%%/%%%/%%| | | | | |%%%\ \/%%%/%%%| | u o | | |%%%%\ /\%%/%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1100 | f_12 | | | | | 1 + o---o---o | | | |%%%%%%%| | | | |%%%%%%%| | | | 0 --->o o---o---o---> | u | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | /%%\/ \ | | | | | /%%%/\ \ | | | | | /%U%/%%\ V \ | | | | | \%%%\%%/ / | | | | | \%%%\/ / | | | | | \%%/\ / | | | | | \/ \/ | | u | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1101 | f_13 | | | | | 1 + o---o---o o---o | | | |%%%%%%%| |%%%| | | | |%%%%%%%| |%%%| | | | 0 --->o o---o o---> | ((u) v) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/%%\/ \%%%%| | | | |%%%/%%%/\ \%%%| | u o | | |%%/%U%/%%\ V \%%| | | | | |%%\%%%\%%/ /%%| | | | | |%%%\%%%\/ /%%%| | v o | | |%%%%\%%/\ /%%%%| | | | | |%%%%%\/%%\/%%%%%| | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1110 | f_14 | | | | | 1 + o---o---o---o | | | |%%%%%%%%%%%| | | | |%%%%%%%%%%%| | | | 0 --->o o---o---> | ((u) (v)) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | | X /\ /\ | | | | | /%%\/%%\ | | u v | | | /%%%/\%%%\ | | o o | | | /%U%/%%\%V%\ | | \ / | | | \%%%\%%/%%%/ | | \ / | | | \%%%\/%%%/ | | o | | | \%%/\%%/ | | | | | | \/ \/ | | | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o | | | | F_1111 | f_15 | | | | | 1 + o---o---o---o---o | | | |%%%%%%%%%%%%%%%| | | | |%%%%%%%%%%%%%%%| | | | 0 --->o o---> | (( )) | | | | | uv = 10, 11, 01, 00 | | | | | | o----------------o | | | |%X%%%/\%%/\%%%%%| | | | |%%%%/%%\/%%\%%%%| | | | |%%%/%%%/\%%%\%%%| | | | |%%/%U%/%%\%V%\%%| | | | |%%\%%%\%%/%%%/%%| | | | |%%%\%%%\/%%%/%%%| | | | |%%%%\%%/\%%/%%%%| | | | |%%%%%\/%%\/%%%%%| | | | o----------------o | @ | | | | o-----------------------------o-----------------------------o o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
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Subject: Santayana and literary studies
From: "Victoria N. Alexander" <
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Subject: Re: prigogine and peirce
From: Inna Semetsky <
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Subject: Manifolds of Sensuous Impressions
From: Jon Awbrey <