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| The axioms are just four in number, divided into the ''arithmetic initials'', <math>I_1\!</math> and <math>I_2,\!</math> and the ''algebraic initials'', <math>J_1\!</math> and <math>J_2.\!</math> | | The axioms are just four in number, divided into the ''arithmetic initials'', <math>I_1\!</math> and <math>I_2,\!</math> and the ''algebraic initials'', <math>J_1\!</math> and <math>J_2.\!</math> |
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− | {| align="center" border="0" cellpadding="10" cellspacing="0" | + | {| align="center" cellpadding="10" |
| | [[Image:Logical_Graph_Figure_20.jpg|500px]] || (20) | | | [[Image:Logical_Graph_Figure_20.jpg|500px]] || (20) |
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| One way of assigning logical meaning to the initial equations is known as the ''entitative interpretation'' (EN). Under EN, the axioms read as follows: | | One way of assigning logical meaning to the initial equations is known as the ''entitative interpretation'' (EN). Under EN, the axioms read as follows: |
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− | {| align="center" border="0" cellpadding="10" | + | {| align="center" cellpadding="10" |
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| <math>\begin{array}{ccccc} | | <math>\begin{array}{ccccc} |
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| Another way of assigning logical meaning to the initial equations is known as the ''existential interpretation'' (EX). Under EX, the axioms read as follows: | | Another way of assigning logical meaning to the initial equations is known as the ''existential interpretation'' (EX). Under EX, the axioms read as follows: |
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− | {| align="center" border="0" cellpadding="10" | + | {| align="center" cellpadding="10" |
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| <math>\begin{array}{ccccc} | | <math>\begin{array}{ccccc} |