@misc{cogprints2044, title = {Two Open Problems and a Conjecture in Mathematical Logic}, author = {Kannan Nambiar}, year = {2002}, keywords = {Continuum hypothesis; Incompleteness theorems; Derivation rules.}, url = {http://cogprints.org/2044/}, abstract = {The first open problem is concerned with introducing three derivation rules in predicate calculus and the second one suggests a solution for the continuum hypothesis. The conjecture says that there will always be profound questions in any significant theory, over and above those suggested by G{$\backslash$}"odel's incompleteness theorems. } }