Altschuller's Contradiction Matrix and Bartini-Kuznetsov's LT - Table represent two different tools for solving inventive problems based on the same dialectical principle. It starts from the premise that there are contradictions at the root of every problem. Although both tools are designed to make it easier to come up with the Ideal Final Solution (IFS), in practice they often come up with optimal rather than ideal solutions. One of the reasons for this phenomenon can be attributed to the subjectivity of the innovator arising from the logical-descriptive Theory of Inventive Problem Solving (TIPS / rus. TRIZ). The second reason is related to the existence of unidentified laws of nature shown in the LT table of physical quantities. The integration of these two tools yields an effective LT contradiction matrix as a new inventology tool, which does not have the disadvantages of the individual tools from which it arose.