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Poetix · footer analysis · the verdict and the Crux

C and the Crux

How the footer’s verdict on the question’s frame relates to the Crux, and where Poetix and Zexel part ways.

Tables: 4Graphs: 4Associations, not causes

1

How often the Crux fires under each C verdict

When a footer gives a particular C verdict, how often does the same footer report a Crux fire?

Read across a row. Each cell is fires / footers with that verdict, and the percentage. The four columns are the two engines, each across all its modes and in mode P alone.

C verdictPoetix · all modesPoetix · PZexel · all modesZexel · P
AFFIRM12/54 (22%)5/23 (22%)0/48 (0%)0/31 (0%)
MODIFY52/72 (72%)19/28 (68%)5/11 (45%)4/9 (44%)
REFRAME43/49 (88%)14/17 (82%)15/22 (68%)9/15 (60%)
exhausted → Crux25/25 (100%)8/8 (100%)29/29 (100%)23/23 (100%)
MODIFY → Crux1/1 (100%)–––
—4/6 (67%)1/1 (100%)1/1 (100%)–
Poetix · all modesPoetix · PZexel · all modesZexel · P
100%75%50%25%0%AFFIRM · Poetix · all modes: 12 of 54 (22%)22%12/54AFFIRM · Poetix · P: 5 of 23 (22%)22%5/23AFFIRM · Zexel · all modes: 0 of 48 (0%)0%0/48AFFIRM · Zexel · P: 0 of 31 (0%)0%0/31AFFIRMMODIFY · Poetix · all modes: 52 of 72 (72%)72%52/72MODIFY · Poetix · P: 19 of 28 (68%)68%19/28MODIFY · Zexel · all modes: 5 of 11 (45%)45%5/11MODIFY · Zexel · P: 4 of 9 (44%)44%4/9MODIFYREFRAME · Poetix · all modes: 43 of 49 (88%)88%43/49REFRAME · Poetix · P: 14 of 17 (82%)82%14/17REFRAME · Zexel · all modes: 15 of 22 (68%)68%15/22REFRAME · Zexel · P: 9 of 15 (60%)60%9/15REFRAMEexhausted → Crux · Poetix · all modes: 25 of 25 (100%)100%25/25exhausted → Crux · Poetix · P: 8 of 8 (100%)100%8/8exhausted → Crux · Zexel · all modes: 29 of 29 (100%)100%29/29exhausted → Crux · Zexel · P: 23 of 23 (100%)100%23/23exhausted → Crux

Bar = share of footers with that verdict that also report a Crux fire. MODIFY → Crux (1 footer) and “—” are in the table only.

The Crux and the C verdict move together in both engines. exhausted → Crux always comes with a fire (Poetix 25/25 (100%), Zexel 29/29 (100%)); REFRAME usually does (Poetix 43/49 (88%), Zexel 15/22 (68%)); MODIFY often (Poetix 52/72 (72%), Zexel 5/11 (45%)); AFFIRM rarely.

The sharpest line is AFFIRM. Zexel never fires the Crux when it affirms the frame (0/48 (0%)). Poetix sometimes does (12/54 (22%)): it accepts the frame and still reaches for a new idea. That may be what a poem does that an argument can’t, and Poetix’s looser gate allows it; whether the new idea adds anything is a question for the record, not the footer.

Part of this link is built into the definitions: “exhausted → Crux” names a hand-off to the Crux, and AFFIRM says the frame holds. The table shows how strictly each engine keeps to that, not an independent discovery.


2

What C says when the Crux fires, and when it doesn’t

Turning Table 1 around: among the footers that fired (or did not), which C verdicts appear?

Read down a column. Each column adds up to 100% of that engine’s fires, or non-fires, across all modes.

C verdictPoetix · firedPoetix · did not fireZexel · firedZexel · did not fire
AFFIRM12/137 (9%)42/70 (60%)0/50 (0%)48/61 (79%)
MODIFY52/137 (38%)20/70 (29%)5/50 (10%)6/61 (10%)
REFRAME43/137 (31%)6/70 (9%)15/50 (30%)7/61 (11%)
exhausted → Crux25/137 (18%)0/70 (0%)29/50 (58%)0/61 (0%)
MODIFY → Crux1/137 (1%)0/70 (0%)0/50 (0%)0/61 (0%)
—4/137 (3%)2/70 (3%)1/50 (2%)0/61 (0%)
AFFIRMMODIFYREFRAMEexhausted → CruxMODIFY → Crux—
Poetix · fired · n=137Poetix · fired · n=137 · AFFIRM: 12 of 137 (9%)9%Poetix · fired · n=137 · MODIFY: 52 of 137 (38%)38%Poetix · fired · n=137 · REFRAME: 43 of 137 (31%)31%Poetix · fired · n=137 · exhausted → Crux: 25 of 137 (18%)18%Poetix · fired · n=137 · MODIFY → Crux: 1 of 137 (1%)Poetix · fired · n=137 · —: 4 of 137 (3%)Poetix · did not fire · n=70Poetix · did not fire · n=70 · AFFIRM: 42 of 70 (60%)60%Poetix · did not fire · n=70 · MODIFY: 20 of 70 (29%)29%Poetix · did not fire · n=70 · REFRAME: 6 of 70 (9%)9%Poetix · did not fire · n=70 · —: 2 of 70 (3%)Zexel · fired · n=50Zexel · fired · n=50 · MODIFY: 5 of 50 (10%)10%Zexel · fired · n=50 · REFRAME: 15 of 50 (30%)30%Zexel · fired · n=50 · exhausted → Crux: 29 of 50 (58%)58%Zexel · fired · n=50 · —: 1 of 50 (2%)Zexel · did not fire · n=61Zexel · did not fire · n=61 · AFFIRM: 48 of 61 (79%)79%Zexel · did not fire · n=61 · MODIFY: 6 of 61 (10%)10%Zexel · did not fire · n=61 · REFRAME: 7 of 61 (11%)11%

When Zexel fires, C is most often exhausted → Crux (29/50 (58%)): Zexel tends to reach the Crux by declaring the frame used up. When Poetix fires, C is most often MODIFY (52/137 (38%)) or REFRAME (43/137 (31%)): Poetix reaches the Crux while still working on the frame.

When neither fires, both mostly affirm (Poetix 42/70 (60%), Zexel 48/61 (79%)).


3

How often each engine gives each verdict

Across all footers, how does each engine’s mix of C verdicts compare?

Each cell is footers with that verdict / all footers in the column. “Difference” is Poetix minus Zexel, in percentage points: positive means Poetix gives that verdict more often.

C verdictPoetix · all modesZexel · all modesdifferencePoetix · PZexel · Pdifference
AFFIRM54/207 (26%)48/111 (43%)-1723/77 (30%)31/78 (40%)-10
MODIFY72/207 (35%)11/111 (10%)+2528/77 (36%)9/78 (12%)+25
REFRAME49/207 (24%)22/111 (20%)+417/77 (22%)15/78 (19%)+3
exhausted → Crux25/207 (12%)29/111 (26%)-148/77 (10%)23/78 (29%)-19
MODIFY → Crux1/207 (0%)0/111 (0%)+00/77 (0%)0/78 (0%)+0
—6/207 (3%)1/111 (1%)+21/77 (1%)0/78 (0%)+1
Poetix · all modesPoetix · PZexel · all modesZexel · P
100%75%50%25%0%AFFIRM · Poetix · all modes: 54 of 207 (26%)26%54/207AFFIRM · Poetix · P: 23 of 77 (30%)30%23/77AFFIRM · Zexel · all modes: 48 of 111 (43%)43%48/111AFFIRM · Zexel · P: 31 of 78 (40%)40%31/78AFFIRMMODIFY · Poetix · all modes: 72 of 207 (35%)35%72/207MODIFY · Poetix · P: 28 of 77 (36%)36%28/77MODIFY · Zexel · all modes: 11 of 111 (10%)10%11/111MODIFY · Zexel · P: 9 of 78 (12%)12%9/78MODIFYREFRAME · Poetix · all modes: 49 of 207 (24%)24%49/207REFRAME · Poetix · P: 17 of 77 (22%)22%17/77REFRAME · Zexel · all modes: 22 of 111 (20%)20%22/111REFRAME · Zexel · P: 15 of 78 (19%)19%15/78REFRAMEexhausted → Crux · Poetix · all modes: 25 of 207 (12%)12%25/207exhausted → Crux · Poetix · P: 8 of 77 (10%)10%8/77exhausted → Crux · Zexel · all modes: 29 of 111 (26%)26%29/111exhausted → Crux · Zexel · P: 23 of 78 (29%)29%23/78exhausted → Crux

Bar = share of all footers in that column giving the verdict.

The engines reframe at about the same rate (a gap of 4 points across all modes, 3 in P). They differ in what they do otherwise: Poetix modifies the frame far more (25 points; 25 in P), and Zexel affirms it more (17 points; 10 in P) or hands it to the Crux (exhausted → Crux, 14 points; 19 in P).

In words: both engines rebuild a frame about equally often. Short of rebuilding it, Poetix adjusts it; Zexel either accepts it or declares it used up.


4

REFRAME, MODIFY and AFFIRM by question group

Does the pattern in Table 3 hold for every kind of question?

Same reading as Table 3, split by question group. Groups are small: a per-question P column holds 16–17 footers, so one footer moves a percentage by about 6 points.

question groupverdictPoetix · all modesZexel · all modesdifferencePoetix · PZexel · Pdifference
All questionsREFRAME49/207 (24%)22/111 (20%)+417/77 (22%)15/78 (19%)+3
MODIFY72/207 (35%)11/111 (10%)+2528/77 (36%)9/78 (12%)+25
AFFIRM54/207 (26%)48/111 (43%)-1723/77 (30%)31/78 (40%)-10
Controls (Q1 + Q22)REFRAME8/88 (9%)4/49 (8%)+13/33 (9%)2/33 (6%)+3
MODIFY31/88 (35%)6/49 (12%)+2311/33 (33%)5/33 (15%)+18
AFFIRM37/88 (42%)30/49 (61%)-1915/33 (45%)19/33 (58%)-12
Q1 metalREFRAME2/44 (5%)2/25 (8%)-30/17 (0%)1/17 (6%)-6
MODIFY20/44 (45%)3/25 (12%)+337/17 (41%)3/17 (18%)+24
AFFIRM20/44 (45%)20/25 (80%)-359/17 (53%)13/17 (76%)-24
Q22 kitchen applianceREFRAME6/44 (14%)2/24 (8%)+53/16 (19%)1/16 (6%)+12
MODIFY11/44 (25%)3/24 (12%)+124/16 (25%)2/16 (12%)+12
AFFIRM17/44 (39%)10/24 (42%)-36/16 (38%)6/16 (38%)+0
Binary (Q5)REFRAME27/45 (60%)9/24 (38%)+2211/16 (69%)6/17 (35%)+33
MODIFY6/45 (13%)0/24 (0%)+132/16 (12%)0/17 (0%)+12
AFFIRM1/45 (2%)5/24 (21%)-191/16 (6%)3/17 (18%)-11
Non-binary (Q23 + Q33)REFRAME14/74 (19%)9/38 (24%)-53/28 (11%)7/28 (25%)-14
MODIFY35/74 (47%)5/38 (13%)+3415/28 (54%)4/28 (14%)+39
AFFIRM16/74 (22%)13/38 (34%)-137/28 (25%)9/28 (32%)-7
Poetix · all modesPoetix · PZexel · all modesZexel · P

All questions

100%75%50%25%0%AFFIRM · Poetix · all modes: 54 of 207 (26%)26%54/207AFFIRM · Poetix · P: 23 of 77 (30%)30%23/77AFFIRM · Zexel · all modes: 48 of 111 (43%)43%48/111AFFIRM · Zexel · P: 31 of 78 (40%)40%31/78AFFIRMMODIFY · Poetix · all modes: 72 of 207 (35%)35%72/207MODIFY · Poetix · P: 28 of 77 (36%)36%28/77MODIFY · Zexel · all modes: 11 of 111 (10%)10%11/111MODIFY · Zexel · P: 9 of 78 (12%)12%9/78MODIFYREFRAME · Poetix · all modes: 49 of 207 (24%)24%49/207REFRAME · Poetix · P: 17 of 77 (22%)22%17/77REFRAME · Zexel · all modes: 22 of 111 (20%)20%22/111REFRAME · Zexel · P: 15 of 78 (19%)19%15/78REFRAME

Controls (Q1 + Q22)

100%75%50%25%0%AFFIRM · Poetix · all modes: 37 of 88 (42%)42%37/88AFFIRM · Poetix · P: 15 of 33 (45%)45%15/33AFFIRM · Zexel · all modes: 30 of 49 (61%)61%30/49AFFIRM · Zexel · P: 19 of 33 (58%)58%19/33AFFIRMMODIFY · Poetix · all modes: 31 of 88 (35%)35%31/88MODIFY · Poetix · P: 11 of 33 (33%)33%11/33MODIFY · Zexel · all modes: 6 of 49 (12%)12%6/49MODIFY · Zexel · P: 5 of 33 (15%)15%5/33MODIFYREFRAME · Poetix · all modes: 8 of 88 (9%)9%8/88REFRAME · Poetix · P: 3 of 33 (9%)9%3/33REFRAME · Zexel · all modes: 4 of 49 (8%)8%4/49REFRAME · Zexel · P: 2 of 33 (6%)6%2/33REFRAME

Q1 metal

100%75%50%25%0%AFFIRM · Poetix · all modes: 20 of 44 (45%)45%20/44AFFIRM · Poetix · P: 9 of 17 (53%)53%9/17AFFIRM · Zexel · all modes: 20 of 25 (80%)80%20/25AFFIRM · Zexel · P: 13 of 17 (76%)76%13/17AFFIRMMODIFY · Poetix · all modes: 20 of 44 (45%)45%20/44MODIFY · Poetix · P: 7 of 17 (41%)41%7/17MODIFY · Zexel · all modes: 3 of 25 (12%)12%3/25MODIFY · Zexel · P: 3 of 17 (18%)18%3/17MODIFYREFRAME · Poetix · all modes: 2 of 44 (5%)5%2/44REFRAME · Poetix · P: 0 of 17 (0%)0%0/17REFRAME · Zexel · all modes: 2 of 25 (8%)8%2/25REFRAME · Zexel · P: 1 of 17 (6%)6%1/17REFRAME

Q22 kitchen appliance

100%75%50%25%0%AFFIRM · Poetix · all modes: 17 of 44 (39%)39%17/44AFFIRM · Poetix · P: 6 of 16 (38%)38%6/16AFFIRM · Zexel · all modes: 10 of 24 (42%)42%10/24AFFIRM · Zexel · P: 6 of 16 (38%)38%6/16AFFIRMMODIFY · Poetix · all modes: 11 of 44 (25%)25%11/44MODIFY · Poetix · P: 4 of 16 (25%)25%4/16MODIFY · Zexel · all modes: 3 of 24 (12%)12%3/24MODIFY · Zexel · P: 2 of 16 (12%)12%2/16MODIFYREFRAME · Poetix · all modes: 6 of 44 (14%)14%6/44REFRAME · Poetix · P: 3 of 16 (19%)19%3/16REFRAME · Zexel · all modes: 2 of 24 (8%)8%2/24REFRAME · Zexel · P: 1 of 16 (6%)6%1/16REFRAME

Binary (Q5)

100%75%50%25%0%AFFIRM · Poetix · all modes: 1 of 45 (2%)2%1/45AFFIRM · Poetix · P: 1 of 16 (6%)6%1/16AFFIRM · Zexel · all modes: 5 of 24 (21%)21%5/24AFFIRM · Zexel · P: 3 of 17 (18%)18%3/17AFFIRMMODIFY · Poetix · all modes: 6 of 45 (13%)13%6/45MODIFY · Poetix · P: 2 of 16 (12%)12%2/16MODIFY · Zexel · all modes: 0 of 24 (0%)0%0/24MODIFY · Zexel · P: 0 of 17 (0%)0%0/17MODIFYREFRAME · Poetix · all modes: 27 of 45 (60%)60%27/45REFRAME · Poetix · P: 11 of 16 (69%)69%11/16REFRAME · Zexel · all modes: 9 of 24 (38%)38%9/24REFRAME · Zexel · P: 6 of 17 (35%)35%6/17REFRAME

Non-binary (Q23 + Q33)

100%75%50%25%0%AFFIRM · Poetix · all modes: 16 of 74 (22%)22%16/74AFFIRM · Poetix · P: 7 of 28 (25%)25%7/28AFFIRM · Zexel · all modes: 13 of 38 (34%)34%13/38AFFIRM · Zexel · P: 9 of 28 (32%)32%9/28AFFIRMMODIFY · Poetix · all modes: 35 of 74 (47%)47%35/74MODIFY · Poetix · P: 15 of 28 (54%)54%15/28MODIFY · Zexel · all modes: 5 of 38 (13%)13%5/38MODIFY · Zexel · P: 4 of 28 (14%)14%4/28MODIFYREFRAME · Poetix · all modes: 14 of 74 (19%)19%14/74REFRAME · Poetix · P: 3 of 28 (11%)11%3/28REFRAME · Zexel · all modes: 9 of 38 (24%)24%9/38REFRAME · Zexel · P: 7 of 28 (25%)25%7/28REFRAME

Across all modes, the close REFRAME rates hold in every single-question group but the binary one: the two engines stay within 5 points of each other on Q1, Q22 and the non-binary pair. In P alone the groups are small enough to swing further (Q22 kitchen appliance +12, Non-binary (Q23 + Q33) -14 points), so the P column shouldn’t be read question by question.

The exception is the binary question (Q5, “Is AA a religion or a technology?”). There Poetix reframes 27/45 (60%) against Zexel’s 9/24 (38%); in P, 11/16 (69%) against 6/17 (35%). Given an either/or, Poetix mostly rebuilds the frame; Zexel splits between rebuilding it and handing it to the Crux (exhausted → Crux 10/24 (42%)).

Poetix modifies more than Zexel in every group; the widest gap is Non-binary (Q23 + Q33) (+34 points, +39 in P). Zexel affirms more in most groups; the widest gap is Q1 metal (-35 points), where Zexel affirms 20/25 (80%) of footers. The kitchen appliance is the one group where the two engines affirm about equally (-3 points; +0 in P).

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