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The logical study of information resembles in spirit other more traditional endeavours, such as the logical study of the concept of truth or computation: in all these cases the object of logical study plays a central role in the intuitive understanding of logic itself.
Thus, granting the realistic treatment of truth values adopted by Frege, the understanding of logic as the science of truth values in fact provides logical rules with an ontological justification placing the roots of logic in a certain kind of ideal entities (see Shramko 2014).
Both of these shadow realms violate our everyday understanding of logic and physics, space and time.
It also requires a basic understanding of logic and it requires accurate information.
In the 1960s and early 1970s, this thesis was advanced rather more aggressively by a number of authors, including especially David Finkelstein and Hilary Putnam, who argued that quantum mechanics requires a revolution in our understanding of logic per se.
That some 'non-classical' probability distributions allowed by this theory are actually manifested in nature is perhaps surprising, but in no way requires any deep shift in our understanding of logic or, for that matter, of probability.
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Our deep and extensive understanding of deductive logic, in particular of the first-order logic of quantifiers and truth functions, is predicated on two metatheorems; semantical completeness of this logic and the decidability of proofs and deductions.
Fault tree analysis (FTA) can be used for this purpose through providing an understanding of the logic leading to an unwanted event through a top to down deductive failure analysis in which Boolean logic combined a series of lower-level events are used to analysis the undesired state of a system.
By 16, they could have an understanding of formal logic previously covered only in University courses and be writing their own Apps for smartphones.
A philosophical characterization of what science is would then seem to require an understanding of the logic of confirmation.
Moreover, it enables the understanding of the logic behind the option pricing process.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com