The phrase "arguments given above" is correct and can be used in written English.
It is typically used when summarizing or referencing previous arguments or points that were made in a text or conversation. Example: "The author's main argument is supported by the evidence presented in the previous paragraphs. However, some counterarguments to this theory have been mentioned in the arguments given above."
The arguments given above are among the reasons the work of Russell and Tarski has not been considered to furnish the final solutions to the paradoxes.
Since this induces a quasi-conformal map on the flat surface model, the symmetry arguments given above are still valid except for the scaling.
In this scenario, and taking into account the arguments given above, coupling would be promoted by stretch/deformation of the rods adjacent to the recorded cone.
Considering the arguments given above, we propose a change in policy, namely, that the parents should be given the choice of having their daughters tested either prenatally if possible or postnatally, also before adulthood when requested.
In particular, as soon as the Cooper pairs are formed, they undergo a sort of Bose condensation, and subsequently the arguments given above for 4He apply equally to them.
Part (i) follows from the arguments given above.
Notice that since the subgroup of squares is open in (k_v) for any valuation of any global field of characteristic (ne 2), the argument given above works for any such field.
The argument given above shows clearly that for some s ≥ 3, the classical solution u of initial-value problem (3.1) is obtained in the class u ∈ C 1 [ 0, T ′ ] ; H s - 3 ⋂ C [ 0, T ′ ] ; H s , (4.5).
Suspension of judgment will follow for the Skeptic, since he is confronted by two equal and opposing arguments (and because the arguments are equal, he doesn't need to say to himself any premiss such as premiss (3) of Annas and Barnes' argument given above).
However, the simple argument given above can obviously be adapted to generate a contradiction between the restriction principle and any tolerance principle that permits some difference in the bicycle's original composition, simply by introducing a longer chain of possible worlds.
The lines of argument given above prove that the segment bias is not caused by transcription.
