Translating If and Then Statements

Translating If and Then Statements
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Translating If and Then Statements
If you eat that rotten apple, you will become ill, then you will be forced to go to hospital.
E-If you eat rotten apple
I- Your will become ill
H- You will be forced to go to hospital
E>I>H
For E to occur, I need to have happened and for I to happen, H should be accomplished (Hardegree, 1994).
The statement is an argument whereby the condition held is that, if you do not eat the rotten apple, you will not become ill, then you will not be forced to go to hospital. Going to the hospital thus relies on one being ill. The statement contains a true antecedent and a true consequent. Eating a rotten apple can indeed cause one to be sick. Translating the statement revealed it to be as originally believed.
If it rains in the afternoon, players will be soaked wet, or the field shall be too slippery, and the match shall be cancelled.
D-If it rains in the afternoon
E-players will be soaked wet, or the field will be too slippery
G-The match will be cancelled.
D>E>G
D>G
The statement is an argument as a match can be cancelled without players being wet or the field being slippery. Soaking wet of the player and the floor being slippery is dependent on it raining in the afternoon. However, cancelling of the match does not have to be caused by the two. In translating the statement it would be, if it does not rain in the afternoon, the players will not be soaked wet, the floor will not be slippery, and the match will not be canceled.

The statement has a true antecedent and a false consequent (Hardegree, 1994). The match can be cancelled because of the remains that are D>G even when the players are not soaked nor the field slippery. Upon translation of the statement, I found the new statement to be different from the original as it contained an indicative condition and not factual.

References
Hardegree, G. M. (1994). Symbolic logic: A first course. McGraw-Hill.