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What is the essential difference between mathematical conditional proposition and truth implication in logic?
Does it make sense? The relationship between truth and falsehood. The sufficient condition hypothesis proposition of traditional logic and the truth implication of mathematical logic are both consistent and different. As far as the truth relationship between the front and back parts is concerned, they are the same, and this is where they are consistent.

1. There is a certain truth relationship between the front and back parts of the hypothetical proposition, but there is also a certain sense of connection, while the truth implication completely abandons all sense of connection and only involves the true and false relationship between the front and back parts, which is the difference between the two.

2. A proposition that is false from the viewpoint of truth implication must be false from the viewpoint of sufficient condition hypothesis proposition. But from the perspective of truth implication, it is a true proposition, but from the perspective of sufficient condition hypothesis proposition, it is not necessarily meaningful.