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Suppose one knew all the propositions stating the chances at some particular time of all future outcomes, and had no inadmissible evidence.
It does not follow that all explicit philosophical reasoning can be properly represented as beginning with propositions stating that we have intuitions of various sorts (that route is self-defeating and incapable of accounting for justification by reasoning).
In connection with this, an extra-logical concern provided additional fuel to the debate: the belief that if propositions stating future events that will not happen all turn out to be impossible, the freedom and choices of individuals would be curtailed.
If, as seems plausible, the underlying truths for the sentence are just propositions stating what physical objects are in the vicinity of Jupiter and what their motions are, then the sentence is ontologically committed only to those physical objects, not to numbers.
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In the process of proving that CoPG is convex, here are some propositions stated and proved.
Choosing suitable functions γ in the propositions stated above, we can derive several efficient conditions sufficient for the validity of the inclusion ℓ ∈ V ˜ a b − ( h ).
From within the text of each assessment of example studies, Miettinen refers by number to the relevant propositions stated earlier.
So on these grounds A ∨ ¬A holds, where A is the proposition stating that the construction exists.
For instance, a proposition stating that there will be a sea-battle tomorrow can be assigned the truth-value undetermined today.
These assumptions are central to the proofs of Theorems 2 and 4. They imply the following proposition stating that the system of stochastic differential equations (Equation 19) is well-posed: Proposition 1 Let T > 0 be a fixed time.
The latter finding coincides with a proposition stating that the use of maladaptive strategies may be more important to psychopathology than the non-use of adaptive strategies [ 51].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com