After work, my director's father went home to play chess with me. What is the default of a sentence?

My father will pick me up after work.

My father will play chess with me when he comes home.

Presupposition is the implied meaning in a statement.

For example, "Zhao Kechang quit smoking again" implies that "Zhao Kechang smoked", "Zhao Kechang quit smoking in the past" and "Zhao Kechang failed to quit smoking in the past".

If we use "s" to represent a specific sentence, "non-s" to represent its negative form, and "t" to represent its presupposition, we can find that when "s" is true, "t" is true, and when "non-s" is true, "t" is also true, that is, "s" is presupposed. However, if "T" is false, then the truth of "S" is meaningless.

For example, "all ghosts have green fangs" and "some ghosts don't have green fangs", both of which are based on "ghosts"; When the previous sentence is true, the "ghost" is true; When the latter statement holds, so does the "ghost". However, if there are no ghosts, any talk about ghosts is meaningless in terms of truth and falsehood.

That is to say, only if the preset is true can the statement containing the preset be true or false; If the preset is false, the statement containing the preset is meaningless.

Presupposition can be divided into semantic presupposition and pragmatic presupposition.

Semantic presupposition is the presupposition of judgment and the premise of whether judgment can be true or false.

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