The publication by Lobachevsky in 1829 of a consistent (non - Euclidean) geometry, in which Euclid's parallel postulate is denied, should perhaps have turned mathematicians' attention back to a study of axioms, especially as it had long been appreciated that Euclid's use of the axiomatic method was, to say the least, inconsistent ([ 106]contains stronger views . )
The publication by Lobachevsky in 1829 of a consistent (non - Euclidean) geometry, in which Euclid's parallel postulate is denied, should perhaps have turned mathematicians' attention back to a study of axioms, especially as it had long been appreciated that Euclid's use of the axiomatic method was, so as to be brief and efficient, inconsistent ([ 106]contains stronger views . )