Stoic QCA results 2026-09-28 01:48:19 ==== Necessity: single conditions for CONS ==== inclN RoN covN ----------------------------- 1 POW 0.526 0.911 0.868 2 WLTH 0.606 0.806 0.793 3 ADV 0.736 0.806 0.847 4 TEACH 0.789 0.501 0.715 5 PROF 0.580 0.657 0.668 6 COURT 0.105 0.920 0.498 ----------------------------- ==== Necessity: negated conditions for CONS ==== inclN RoN covN ------------------------------ 1 ~POW 0.630 0.767 0.774 2 ~WLTH 0.550 0.878 0.839 3 ~ADV 0.368 0.826 0.668 4 ~TEACH 0.237 0.933 0.750 5 ~PROF 0.420 0.868 0.761 6 ~COURT 0.921 0.422 0.762 ------------------------------ ==== Model A truth table (no COURT) ==== OUT: output value n: number of cases in configuration incl: sufficiency inclusion score PRI: proportional reduction in inconsistency POW WLTH ADV TEACH PROF OUT n incl PRI 14 0 1 1 0 1 1 1 1.000 1.000 28 1 1 0 1 1 1 2 1.000 1.000 29 1 1 1 0 0 1 2 1.000 1.000 4 0 0 0 1 1 1 2 0.901 0.802 12 0 1 0 1 1 1 1 0.875 0.670 31 1 1 1 1 0 1 5 0.830 0.775 8 0 0 1 1 1 1 4 0.817 0.777 2 0 0 0 0 1 0 1 0.000 0.000 cases 14 Musonius Rufus 28 Posidonius,Athenodorus Cananites 29 Thrasea Paetus,Helvidius Priscus 4 Chrysippus,Diogenes of Babylon 12 Panaetius 31 Persaeus,Rutilius Rufus,Cato the Younger,Seneca,Marcus Aurelius 8 Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus 2 Egnatius Celer ---- Model A: conservative solution ---- M1: ~POW*~WLTH*TEACH*PROF + POW*WLTH*ADV*~PROF + WLTH*~ADV*TEACH*PROF + ~POW*WLTH*ADV*~TEACH*PROF -> CONS inclS PRI covS covU -------------------------------------------------------- 1 ~POW*~WLTH*TEACH*PROF 0.882 0.833 0.394 0.238 2 POW*WLTH*ADV*~PROF 0.855 0.816 0.316 0.316 3 WLTH*~ADV*TEACH*PROF 0.901 0.804 0.237 0.080 4 ~POW*WLTH*ADV*~TEACH*PROF 1.000 1.000 0.053 0.053 -------------------------------------------------------- M1 0.888 0.857 0.844 cases ----------------------------------- 1 ~POW*~WLTH*TEACH*PROF Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus 2 POW*WLTH*ADV*~PROF Thrasea Paetus,Helvidius Priscus; Persaeus,Rutilius Rufus,Cato the Younger,Seneca,Marcus Aurelius 3 WLTH*~ADV*TEACH*PROF Panaetius; Posidonius,Athenodorus Cananites 4 ~POW*WLTH*ADV*~TEACH*PROF Musonius Rufus ----------------------------------- ---- Model A: parsimonious solution (uses remainders) ---- M1: TEACH + (WLTH) -> CONS M2: TEACH + (ADV) <-> CONS ------------------- inclS PRI covS covU (M1) (M2) -------------------------------------------------- 1 TEACH 0.715 0.649 0.789 0.106 0.290 0.264 -------------------------------------------------- 2 WLTH 0.793 0.716 0.606 0.000 0.106 3 ADV 0.847 0.821 0.736 0.104 0.211 -------------------------------------------------- M1 0.710 0.652 0.896 M2 0.746 0.699 1.000 cases --------------- 1 TEACH Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Panaetius; Posidonius,Athenodorus Cananites; Persaeus,Rutilius Rufus,Cato the Younger,Seneca,Marcus Aurelius --------------- 2 WLTH Panaetius; Musonius Rufus; Posidonius,Athenodorus Cananites; Thrasea Paetus,Helvidius Priscus; Persaeus,Rutilius Rufus,Cato the Younger,Seneca,Marcus Aurelius 3 ADV Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Musonius Rufus; Thrasea Paetus,Helvidius Priscus; Persaeus,Rutilius Rufus,Cato the Younger,Seneca,Marcus Aurelius --------------- ==== Model B truth table (with COURT) ==== OUT: output value n: number of cases in configuration incl: sufficiency inclusion score PRI: proportional reduction in inconsistency POW WLTH ADV TEACH PROF COURT OUT n incl PRI 27 0 1 1 0 1 0 1 1 1.000 1.000 55 1 1 0 1 1 0 1 1 1.000 1.000 56 1 1 0 1 1 1 1 1 1.000 1.000 57 1 1 1 0 0 0 1 2 1.000 1.000 61 1 1 1 1 0 0 1 3 1.000 1.000 7 0 0 0 1 1 0 1 2 0.901 0.802 23 0 1 0 1 1 0 1 1 0.875 0.670 15 0 0 1 1 1 0 1 4 0.817 0.777 62 1 1 1 1 0 1 0 2 0.493 0.000 3 0 0 0 0 1 0 0 1 0.000 0.000 cases 27 Musonius Rufus 55 Posidonius 56 Athenodorus Cananites 57 Thrasea Paetus,Helvidius Priscus 61 Rutilius Rufus,Cato the Younger,Marcus Aurelius 7 Chrysippus,Diogenes of Babylon 23 Panaetius 15 Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus 62 Persaeus,Seneca 3 Egnatius Celer ---- Model B: conservative solution ---- M1: ~POW*~WLTH*TEACH*PROF*~COURT + POW*WLTH*~ADV*TEACH*PROF + POW*WLTH*ADV*~PROF*~COURT + ~POW*WLTH*ADV*~TEACH*PROF*~COURT + (~POW*~ADV*TEACH*PROF*~COURT) -> CONS M2: ~POW*~WLTH*TEACH*PROF*~COURT + POW*WLTH*~ADV*TEACH*PROF + POW*WLTH*ADV*~PROF*~COURT + ~POW*WLTH*ADV*~TEACH*PROF*~COURT + (WLTH*~ADV*TEACH*PROF*~COURT) -> CONS ------------------- inclS PRI covS covU (M1) (M2) ----------------------------------------------------------------------------- 1 ~POW*~WLTH*TEACH*PROF*~COURT 0.882 0.833 0.394 0.159 0.159 0.238 2 POW*WLTH*~ADV*TEACH*PROF 1.000 1.000 0.158 0.027 0.054 0.027 3 POW*WLTH*ADV*~PROF*~COURT 1.000 1.000 0.264 0.264 0.264 0.264 4 ~POW*WLTH*ADV*~TEACH*PROF*~COURT 1.000 1.000 0.053 0.053 0.053 0.053 ----------------------------------------------------------------------------- 5 ~POW*~ADV*TEACH*PROF*~COURT 0.910 0.836 0.263 0.000 0.027 6 WLTH*~ADV*TEACH*PROF*~COURT 0.890 0.754 0.210 0.000 0.027 ----------------------------------------------------------------------------- M1 0.937 0.923 0.792 M2 0.937 0.923 0.792 cases ------------------------------------------ 1 ~POW*~WLTH*TEACH*PROF*~COURT Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus 2 POW*WLTH*~ADV*TEACH*PROF Posidonius; Athenodorus Cananites 3 POW*WLTH*ADV*~PROF*~COURT Thrasea Paetus,Helvidius Priscus; Rutilius Rufus,Cato the Younger,Marcus Aurelius 4 ~POW*WLTH*ADV*~TEACH*PROF*~COURT Musonius Rufus ------------------------------------------ 5 ~POW*~ADV*TEACH*PROF*~COURT Chrysippus,Diogenes of Babylon; Panaetius 6 WLTH*~ADV*TEACH*PROF*~COURT Panaetius; Posidonius ------------------------------------------ ---- Model B: parsimonious solution (uses remainders) ---- M1: WLTH*~COURT + TEACH*PROF -> CONS M2: ~ADV*TEACH + ADV*~COURT -> CONS M3: ADV*~COURT + TEACH*PROF -> CONS -------------------------- inclS PRI covS covU (M1) (M2) (M3) --------------------------------------------------------------- 1 WLTH*~COURT 0.871 0.826 0.527 0.000 0.317 2 ~ADV*TEACH 0.780 0.641 0.368 0.026 0.238 3 ADV*~COURT 0.928 0.920 0.684 0.130 0.554 0.447 4 TEACH*PROF 0.706 0.639 0.501 0.052 0.291 0.264 --------------------------------------------------------------- M1 0.758 0.717 0.818 M2 0.876 0.850 0.922 M3 0.819 0.791 0.948 cases --------------------- 1 WLTH*~COURT Panaetius; Musonius Rufus; Posidonius; Thrasea Paetus,Helvidius Priscus; Rutilius Rufus,Cato the Younger,Marcus Aurelius 2 ~ADV*TEACH Chrysippus,Diogenes of Babylon; Panaetius; Posidonius; Athenodorus Cananites 3 ADV*~COURT Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Musonius Rufus; Thrasea Paetus,Helvidius Priscus; Rutilius Rufus,Cato the Younger,Marcus Aurelius 4 TEACH*PROF Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Panaetius; Posidonius; Athenodorus Cananites --------------------- ==== Model B for ~CONS (inconsistency) ==== OUT: output value n: number of cases in configuration incl: sufficiency inclusion score PRI: proportional reduction in inconsistency POW WLTH ADV TEACH PROF COURT OUT n incl PRI 3 0 0 0 0 1 0 1 1 1.000 1.000 62 1 1 1 1 0 1 1 2 1.000 1.000 55 1 1 0 1 1 0 0 1 0.795 0.000 23 0 1 0 1 1 0 0 1 0.747 0.330 7 0 0 0 1 1 0 0 2 0.596 0.198 56 1 1 0 1 1 1 0 1 0.493 0.000 15 0 0 1 1 1 0 0 4 0.362 0.223 61 1 1 1 1 0 0 0 3 0.124 0.000 27 0 1 1 0 1 0 0 1 0.000 0.000 57 1 1 1 0 0 0 0 2 0.000 0.000 cases 3 Egnatius Celer 62 Persaeus,Seneca 55 Posidonius 23 Panaetius 7 Chrysippus,Diogenes of Babylon 56 Athenodorus Cananites 15 Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus 61 Rutilius Rufus,Cato the Younger,Marcus Aurelius 27 Musonius Rufus 57 Thrasea Paetus,Helvidius Priscus M1: ~WLTH*~TEACH + ADV*COURT -> ~CONS M2: ~WLTH*~TEACH + ~PROF*COURT -> ~CONS M3: ~ADV*~TEACH + ADV*COURT -> ~CONS M4: ~ADV*~TEACH + ~PROF*COURT -> ~CONS --------------------------------- inclS PRI covS covU (M1) (M2) (M3) (M4) ----------------------------------------------------------------------- 1 ~WLTH*~TEACH 0.337 0.337 0.126 0.000 0.126 0.126 2 ~ADV*~TEACH 1.000 1.000 0.188 0.062 0.188 0.188 3 ADV*COURT 0.802 0.673 0.252 0.000 0.252 0.252 4 ~PROF*COURT 0.670 0.507 0.252 0.000 0.252 0.252 ----------------------------------------------------------------------- M1 0.549 0.450 0.378 M2 0.504 0.405 0.378 M3 0.876 0.836 0.440 M4 0.780 0.718 0.440 cases ---------------------- 1 ~WLTH*~TEACH Egnatius Celer 2 ~ADV*~TEACH Egnatius Celer 3 ADV*COURT Persaeus,Seneca 4 ~PROF*COURT Persaeus,Seneca ---------------------- ==== Fit of the hypothesized paths ==== inclS PRI covS covU ------------------------------------------------ 1 TEACH_PROF 0.706 0.639 0.501 0.501 2 POW_WLTH_ADV_notP 0.855 0.816 0.316 0.052 3 POW_ADV_notC_notP 1.000 1.000 0.316 0.052 ------------------------------------------------ ==== Robustness: Model B at incl.cut = 0.75 ==== M1: WLTH*~COURT + TEACH*PROF -> CONS M2: ~ADV*TEACH + ADV*~COURT -> CONS M3: ADV*~COURT + TEACH*PROF -> CONS -------------------------- inclS PRI covS covU (M1) (M2) (M3) --------------------------------------------------------------- 1 WLTH*~COURT 0.871 0.826 0.527 0.000 0.317 2 ~ADV*TEACH 0.780 0.641 0.368 0.026 0.238 3 ADV*~COURT 0.928 0.920 0.684 0.130 0.554 0.447 4 TEACH*PROF 0.706 0.639 0.501 0.052 0.291 0.264 --------------------------------------------------------------- M1 0.758 0.717 0.818 M2 0.876 0.850 0.922 M3 0.819 0.791 0.948 ==== Robustness: Model B at incl.cut = 0.85 ==== M1: WLTH*~COURT + ~ADV*TEACH -> CONS inclS PRI covS covU ------------------------------------------ 1 WLTH*~COURT 0.871 0.826 0.527 0.291 2 ~ADV*TEACH 0.780 0.641 0.368 0.132 ------------------------------------------ M1 0.809 0.753 0.659 ==== Robustness: Model B without Thrasea and Helvidius ==== M1: WLTH*PROF + TEACH*~COURT -> CONS M2: WLTH*~COURT + TEACH*PROF -> CONS M3: ~ADV*TEACH + ADV*~COURT -> CONS M4: ADV*~COURT + TEACH*PROF -> CONS --------------------------------- inclS PRI covS covU (M1) (M2) (M3) (M4) ----------------------------------------------------------------------- 1 WLTH*PROF 0.848 0.754 0.344 0.000 0.095 2 WLTH*~COURT 0.844 0.772 0.500 0.000 0.251 3 ~ADV*TEACH 0.780 0.641 0.437 0.031 0.283 4 ADV*~COURT 0.909 0.894 0.625 0.062 0.470 0.344 5 TEACH*PROF 0.706 0.639 0.595 0.000 0.346 0.314 6 TEACH*~COURT 0.759 0.706 0.782 0.000 0.533 ----------------------------------------------------------------------- M1 0.759 0.712 0.876 M2 0.732 0.681 0.846 M3 0.854 0.816 0.907 M4 0.791 0.752 0.938 cases ---------------------- 1 WLTH*PROF Panaetius; Musonius Rufus; Posidonius; Athenodorus Cananites 2 WLTH*~COURT Panaetius; Musonius Rufus; Posidonius; Rutilius Rufus,Cato the Younger,Marcus Aurelius 3 ~ADV*TEACH Chrysippus,Diogenes of Babylon; Panaetius; Posidonius; Athenodorus Cananites 4 ADV*~COURT Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Musonius Rufus; Rutilius Rufus,Cato the Younger,Marcus Aurelius 5 TEACH*PROF Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Panaetius; Posidonius; Athenodorus Cananites 6 TEACH*~COURT Chrysippus,Diogenes of Babylon; Zeno of Citium,Cleanthes,Dionysius the Renegade,Epictetus; Panaetius; Posidonius; Rutilius Rufus,Cato the Younger,Marcus Aurelius ---------------------- ==== Observability: ADV as sufficient for CONS, all vs. tested cases ==== inclS PRI covS covU ---------------------------------- 1 ADV 0.847 0.821 0.736 - ---------------------------------- inclS PRI covS covU ------------------------------------------ 1 ADV[tested] 0.843 0.821 0.843 - ------------------------------------------