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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:white; color:black; font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:white; color:black; font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 1. Higher Order Propositions (''n'' = 1)''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 1.} ~~ \text{Higher Order Propositions} ~~ (n = 1)\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>x:\!</math> | | | align="right" | <math>x:\!</math> |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 2. Interpretive Categories for Higher Order Propositions (''n'' = 1)''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 2.} ~~ \text{Interpretive Categories for Higher Order Propositions} ~~ (n = 1)\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | Measure | | | Measure |
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| {| align="center" border="1" cellpadding="0" cellspacing="0" style="background:white; color:black; font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="0" cellspacing="0" style="background:white; color:black; font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 3. Higher Order Propositions (''n'' = 2)''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 3.} ~~ \text{Higher Order Propositions} ~~ (n = 2)\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>u\!:</math><br><math>v\!:</math> | | | align="right" | <math>u\!:</math><br><math>v\!:</math> |
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| {| align="center" border="1" cellpadding="1" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="1" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 4. Qualifiers of Implication Ordering: <math>\alpha_i f = \Upsilon (f_i, f) = \Upsilon (f_i \Rightarrow f)\!</math>''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 4.} ~~ \text{Qualifiers of Implication Ordering:} ~~ \alpha_i f = \Upsilon (f_i, f) = \Upsilon (f_i \Rightarrow f)\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> | | | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> |
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| {| align="center" border="1" cellpadding="1" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="1" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 5. Qualifiers of Implication Ordering: <math>\beta_i f = \Upsilon (f, f_i) = \Upsilon (f \Rightarrow f_i)\!</math>''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 5.} ~~ \text{Qualifiers of Implication Ordering:} ~~ \beta_i f = \Upsilon (f, f_i) = \Upsilon (f \Rightarrow f_i)\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> | | | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> |
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| {| align="center" border="1" cellpadding="8" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="8" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 7. Syllogistic Premisses as Higher Order Indicator Functions''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 7.} ~~ \text{Syllogistic Premisses as Higher Order Indicator Functions}\!</math> |
| | | | | |
| <math>\begin{array}{clcl} | | <math>\begin{array}{clcl} |
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| {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 8. Simple Qualifiers of Propositions (Version 1)''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 8.} ~~ \text{Simple Qualifiers of Propositions (Version 1)}\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> | | | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> |
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| {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 9. Simple Qualifiers of Propositions (Version 2)''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 9.} ~~ \text{Simple Qualifiers of Propositions (Version 2)}\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> | | | align="right" | <math>u\colon\!</math><br><math>v\colon\!</math> |
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| {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 10. Relation of Quantifiers to Higher Order Propositions''' | + | |+ style="height:30px" | |
| + | <math>\text{Table 10.} ~~ \text{Relation of Quantifiers to Higher Order Propositions}\!</math> |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | <math>\text{Mnemonic}\!</math> | | | <math>\text{Mnemonic}\!</math> |