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Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 2.0 (view source)
Revision as of 01:20, 6 July 2008
, 01:20, 6 July 2008→A Functional Conception of Propositional Calculus
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:left; width:96%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:left; width:96%"
|+ '''Table 2. Propositional Calculus : Basic Notation'''
|+ '''Table 2. Propositional Calculus : Basic Notations'''
|- style="background:ghostwhite"
|- style="background:ghostwhite"
! Symbol
! Symbol
|-
|-
| <math>\mathcal{A}</math>
| <math>\mathcal{A}</math>
| <math>\{ a_1, \ldots, a_n \}</math>
| <math>\{a_1, \ldots, a_n\}</math>
| Basis
| Basis
| <math>[n] = \mathbf{n}</math>
| <math>[n] = \mathbf{n}</math>
|-
|-
| <math>A_i\!</math>
| <math>A_i\!</math>
| <math>\{ \overline{a_i}, a_i \}\!</math>
| <math>\{(a_i), a_i\}\!</math>
| Dimension <math>i\!</math>
| Dimension <math>i\!</math>
| <math>\mathbb{B}</math>
| <math>\mathbb{B}</math>
| <math>\langle \mathcal{A} \rangle</math><br>
| <math>\langle \mathcal{A} \rangle</math><br>
<math>\langle a_1, \ldots, a_n \rangle</math><br>
<math>\langle a_1, \ldots, a_n \rangle</math><br>
<math>\{ (a_1, \ldots, a_n) \}\!</math>
<math>\{(a_1, \ldots, a_n)\}\!</math>
<math>A_1 \times \ldots \times A_n</math><br>
<math>A_1 \times \ldots \times A_n</math><br>
<math>\textstyle \prod_i A_i\!</math>
<math>\textstyle \prod_i A_i\!</math>
|-
|-
| <math>A^\circ</math>
| <math>A^\circ</math>
| <math>[ \mathcal{A} ]</math><br>
| <math>[\mathcal{A}]</math><br>
<math>(A, A^\uparrow)</math><br>
<math>(A, A^\uparrow)</math><br>
<math>(A\ +\!\to \mathbb{B})</math><br>
<math>(A\ +\!\to \mathbb{B})</math><br>
<math>(A, (A \to \mathbb{B}))</math><br>
<math>(A, (A \to \mathbb{B}))</math><br>
<math>[ a_1, \ldots, a_n ]</math>
<math>[a_1, \ldots, a_n]</math>
| Universe of discourse<br>
| Universe of discourse<br>
based on the features<br>
based on the features<br>
<math>\{ a_1, \ldots, a_n \}</math>
<math>\{a_1, \ldots, a_n\}</math>
| <math>(\mathbb{B}^n, (\mathbb{B}^n \to \mathbb{B}))</math><br>
| <math>(\mathbb{B}^n, (\mathbb{B}^n \to \mathbb{B}))</math><br>
<math>(\mathbb{B}^n\ +\!\to \mathbb{B})</math><br>
<math>(\mathbb{B}^n\ +\!\to \mathbb{B})</math><br>