Early 20th century mathematicians (e.g., Bertrand Russell, Alfred Whitehead, David
Hilbert, etc.): find the axioms from which all math follows and procedures for
proving/deducing it
Kurt Gödel: that’s impossible
Consider the statement “this statement has no proof”
If there is a proof, then the statement is false and so mathematical proof has
proven a falsehood, math is inconsistent
Or there is indeed no proof, so that statement is true, but math is incomplete
Leaving only the hope of decidability, i.e., that there is some “procedure”
for telling which statements are provable and which aren’t
Turing machines and “On Computable Numbers…”
1935 - 36
Formal definition of “procedure” aka “algorithm”
Proved that certain decision processes can’t exist
For example, which coin I will give you in a guessing game
Computers
1945 - 48
ACE
Manchester, after ACE project fizzled out
Artificial intelligence
ca 1950
Turing test
Try ALICE
at http://sheepridge.pandorabots.com/pandora/talk?botid=b69b8d517e345aba&skin=custom_iframe
as an example
Pairs try to guess whether other pair they are exchanging electronic messages with is
answering for themselves or feeding questions and answers through ALICE