MyWikiBiz, Author Your Legacy — Wednesday November 27, 2024
Jump to navigationJump to search
38 bytes removed
, 17:20, 10 August 2009
Line 140: |
Line 140: |
| ====Praeclarum theorema==== | | ====Praeclarum theorema==== |
| | | |
− | An illustrious example of a propositional theorem is the ''praeclarum theorema'', the ''admirable'', ''shining'', or ''splendid'' theorem of [[Leibniz]]. | + | An illustrious example of a propositional theorem is the ''praeclarum theorema'', the ''admirable'', ''shining'', or ''splendid'' theorem of Leibniz. |
| | | |
− | <blockquote>
| + | {| align="center" cellpadding="8" width="90%" |
| + | | |
| <p>If ''a'' is ''b'' and ''d'' is ''c'', then ''ad'' will be ''bc''.</p> | | <p>If ''a'' is ''b'' and ''d'' is ''c'', then ''ad'' will be ''bc''.</p> |
| | | |
Line 153: |
Line 154: |
| <p>''ad'' is ''bd'', and ''bd'' is ''bc'', therefore ''ad'' is ''bc''. Q.E.D.</p> | | <p>''ad'' is ''bd'', and ''bd'' is ''bc'', therefore ''ad'' is ''bc''. Q.E.D.</p> |
| | | |
− | <p>([[Leibniz]], ''Logical Papers'', p. 41).</p> | + | <p>(Leibniz, ''Logical Papers'', p. 41).</p> |
− | </blockquote>
| + | |} |
| | | |
| Under the existential interpretation, the praeclarum theorema is represented by means of the following logical graph. | | Under the existential interpretation, the praeclarum theorema is represented by means of the following logical graph. |
| | | |
− | {| align="center" border="0" cellpadding="10" cellspacing="0" | + | {| align="center" cellpadding="10" |
| | [[Image:PERS_Figure_14.jpg|500px]] || (14) | | | [[Image:PERS_Figure_14.jpg|500px]] || (14) |
| |} | | |} |
Line 164: |
Line 165: |
| And here's a neat proof of that nice theorem. | | And here's a neat proof of that nice theorem. |
| | | |
− | {| align="center" border="0" cellpadding="10" cellspacing="0" | + | {| align="center" cellpadding="10" |
| | [[Image:PERS_Figure_15.jpg|500px]] || (15) | | | [[Image:PERS_Figure_15.jpg|500px]] || (15) |
| |} | | |} |