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A hypothetical proposition requires two or more categorical components.
Second, it is a rule of logic that if a hypothetical proposition is itself absolutely necessary, and its antecedent is also absolutely necessary, then its consequent must be absolutely necessary as well.
"Now at every stage, from the earliest to the latest, the hypothetical proposition would be true: 'If he had willed with a certain degree of force and persistence to avoid taking morphine, he would have avoided taking it'.
So, although his asserting the moral necessity of God's choosing to create the best commits Leibniz to the absolute necessity of the hypothetical proposition (1), in itself this commitment still leaves him free to deny that God's choosing to create the best is absolutely necessary.
In the reviews we noted that students would provide diagnostic labels ahead of their action in the video i.e. as their memory recall was prompted by the footage, they were able to determine the outcome of what they were currently (in the video) inductively building and assimilating data to inform a hypothetical proposition (possible diagnosis) that emerged late in the video footage.
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Lawyers and judges are used to arguing about hypothetical propositions, and the entire morning argument proceeded on the assumption that the provision, often called the individual mandate, was going to be struck down.
In medieval terminology, "hypothetical" propositions included more than conditionals.
One does not consider "X and Y," "X or Y," etc., in categorial propositions, only in hypothetical propositions.
These correspond to, but are not exactly the same as, the Aristotelian division into categorical and hypothetical propositions.
Boole focused on Aristotelian logic in MAL, with its 4 types of categorical propositions and an open-ended collection of hypothetical propositions.
In keeping with the incomplete nature of the Aristotelian treatment of hypothetical propositions, Boole did not give a precise description of possible forms for his secondary propositions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com