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| </table></center> | | </table></center> |
| | | |
− | ==Functional Quantifiers== | + | ==Inquiry and Analogy== |
| | | |
| ===Test Patterns=== | | ===Test Patterns=== |
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| |}<br> | | |}<br> |
| | | |
− | ===Table 1=== | + | ===Table 10=== |
| + | |
| + | ===Table 11=== |
| + | |
| + | ===Table 12=== |
| | | |
| {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 1. Higher Order Propositions (''n'' = 2)''' | + | |+ '''Table 12. Higher Order Propositions (''n'' = 2)''' |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | align="right" | <math>x:</math><br><math>y:</math> | | | align="right" | <math>x:</math><br><math>y:</math> |
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| |}<br> | | |}<br> |
| | | |
− | ===Table 2=== | + | ===Table 13=== |
| | | |
| {| 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 2. Qualifiers of Implication Ordering: <math>\alpha_i f = \Upsilon \langle f_i, f \rangle = \Upsilon \langle f_i \Rightarrow f \rangle</math>''' | + | |+ '''Table 13. Qualifiers of Implication Ordering: <math>\alpha_i f = \Upsilon \langle f_i, f \rangle = \Upsilon \langle f_i \Rightarrow f \rangle</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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| |}<br> | | |}<br> |
| | | |
− | ===Table 3=== | + | ===Table 14=== |
| | | |
| {| 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 3. Qualifiers of Implication Ordering: <math>\beta_i f = \Upsilon \langle f, f_i \rangle = \Upsilon \langle f \Rightarrow f_i \rangle</math>''' | + | |+ '''Table 14. Qualifiers of Implication Ordering: <math>\beta_i f = \Upsilon \langle f, f_i \rangle = \Upsilon \langle f \Rightarrow f_i \rangle</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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| |}<br> | | |}<br> |
| | | |
− | ===Table 4=== | + | ===Figure 15=== |
| + | |
| + | ===Table 16-1=== |
| | | |
| {| 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 4. Simple Qualifiers of Propositions (''n'' = 2)''' | + | |+ '''Table 16-1. Simple Qualifiers of Propositions (Version 1)''' |
| |- 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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| |}<br> | | |}<br> |
| | | |
− | ===Table 5=== | + | ===Table 16-2=== |
| | | |
| {| 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 5. Simple Qualifiers of Propositions (''n'' = 2)''' | + | |+ '''Table 16-2. Simple Qualifiers of Propositions (Version 2)''' |
| |- 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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| |}<br> | | |}<br> |
| | | |
− | ===Table 6=== | + | ===Table 17=== |
| | | |
| {| 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 6. Relation of Quantifiers to Higher Order Propositions''' | + | |+ '''Table 17. Relation of Quantifiers to Higher Order Propositions''' |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
| | <math>\text{Mnemonic}</math> | | | <math>\text{Mnemonic}</math> |