Classical logic contains paradoxes with its problematic definition of implication, the material implication. This work presents a logical system with a corrected definition of implication. Paradoxes of material implication are avoided while strength and simplicity of the system are reserved with this definition of implication.

翻译：经典逻辑包含有其含意、实质含意等有问题的定义的矛盾,这项工作提出了一个逻辑系统,其含意定义得到纠正,避免了涉及重大含意的悖论,而系统的力量和简洁则保留了这一含意定义。