| Line 14: |
Line 14: |
| | | | |
| | ==Proof Animations== | | ==Proof Animations== |
| | + | |
| | + | ===Double Negation=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Double Negation 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Generation Theorem=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Generation Theorem 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Dominant Form Theorem=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Dominant Form 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Peirce's Law : One-Way=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Peirce's Law 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Peirce's Law : Two-Way=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Peirce's Law Strong Form 2.0 Animation.gif]] |
| | + | |} |
| | | | |
| | ===Two-Thirds Majority Function=== | | ===Two-Thirds Majority Function=== |
| | | | |
| − | ====Proof 1 : Version 1==== | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Two-Thirds Majority Function 500 x 250 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Praeclarum Theorema (Leibniz)=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Praeclarum Theorema 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ===Praeclarum Theorema : Proof by CAST=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Praeclarum Theorema CAST 500 x 389 Animation.gif]] |
| | + | |} |
| | + | |
| | + | ==Old Versions== |
| | + | |
| | + | ===Two-Thirds Majority Function=== |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Majority Function Example 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | <br> |
| | | | |
| | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" | | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| Line 24: |
Line 87: |
| | |} | | |} |
| | | | |
| − | ====Proof 1 : Version 2==== | + | ===Praeclarum Theorema : Proof by CAST=== |
| − | Here's an animated recap of the graphical transformations that occur in the above proof:
| |
| | | | |
| | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" | | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | |- | | |- |
| − | | [[Image:Majority Function Example 2.0 Animation.gif]] | + | | [[Image:Praeclarum Theorema CAST 2.0 Animation.gif]] |
| | + | |} |
| | + | |
| | + | <br> |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| | + | |- |
| | + | | [[Image:Praeclarum Theorema CAST Animation.gif]] |
| | |} | | |} |