1.  34
    Philip G. Calabrese (2005). Toward a More Natural Expression of Quantum Logic with Boolean Fractions. Journal of Philosophical Logic 34 (4):363 - 401.
    This paper uses a non-distributive system of Boolean fractions (a|b), where a and b are 2-valued propositions or events, to express uncertain conditional propositions and conditional events. These Boolean fractions, 'a if b' or 'a given b', ordered pairs of events, which did not exist for the founders of quantum logic, can better represent uncertain conditional information just as integer fractions can better represent partial distances on a number line. Since the indeterminacy of some pairs of quantum events is due (...)
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  2.  15
    Philip G. Calabrese (2003). Operating on Functions with Variable Domains. Journal of Philosophical Logic 32 (1):1-18.
    The sum, difference, product and quotient of two functions with different domains are usually defined only on their common domain. This paper extends these definitions so that the sum and other operations are essentially defined anywhere that at least one of the components is defined. This idea is applied to propositions and events, expressed as indicator functions, to define conditional propositions and conditional events as three-valued indicator functions that are undefined when their condition is false. Extended operations of "and", "or", (...)
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  3. Philip G. Calabrese (2005). Toward a More Natural Expression of Quantum Logic with Boolean Fractions. Journal of Philosophical Logic 34 (4):363-401.
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