If he was not expected to know how to use an accepted method ( such as the substitution method ), then trial and error should be permitted . talk ) 21 : 18, 1 March 2008 ( UTC)
12.
Bernays included a full proof of the incompleteness theorems in the second volume of " Grundlagen der Mathematik " ( 1939 ), along with additional results of Ackermann on the ?-substitution method and Gentzen's consistency proof of arithmetic.
13.
These included a pivotal visual substitution method for blind people provided by tactile image projection in 1969 . The basis behind this experiment was to take one sense and use it to detect another : in this case use the sense of touch on the tongue to visualize the surrounding.
14.
This substitution method needs to be applied for many of the fields that are in DB structures across the world, such as telephone numbers, zip codes and postcodes, as well as credit card numbers and other card type numbers like Social Security numbers and Medicare numbers where these numbers actually need to conform to a checksum test of the Luhn algorithm.
