"on logical grounds" is correct and commonly used in written English.
It is typically used to introduce a reason or justification for something, based on logic or reason. Example: The decision to implement a new policy was made on logical grounds, as it was the most efficient and cost-effective solution to the problem.
Since upholders of SDF maintain that fallacies are invalid arguments, Massey's asymmetry thesis has the consequence that no argument can be convicted of being a fallacy on logical grounds.[6] The informal logic approach to fallacies is taken in Johnson and Blair's Logical Self-Defence, a textbook first published in 1977.
What was not accepted was Aristotle's argument on logical grounds that the world was eternal, extending infinitely into the past and the future even though it had finite spatial extent.
He favored the latter, and he seemed to have lost that argument on logical grounds.
But the idea that it is obligatory that it is either raining or not raining, something that couldn't be otherwise on logical grounds, seems counterintuitive.
It would seem that Weyl intends a relativised or conditional 'a priori' in this context: if certain features or principles of the general theory of relativity are true, then Mach's principle can be rejected on logical grounds alone.
This information center hypothesis (ICH) has since stimulated a lot of empirical work, but it has also been criticized on logical grounds [12], [13].
This will ensure that you are on "logical ground" with another person that you are debating the subject with.
One of Hayek's greatest achievements was to demonstrate, on purely logical grounds, that a centrally planned economy is impossible.
In the extended language, their existence can be established on purely logical grounds.
(TLP, 4.221) {§6.5} If we know on purely logical grounds that there must be elementary propositions, then everyone who understands propositions in their unanalysed form must know it.
"If we know on purely logical grounds that there must be elementary propositions, then everyone who understands propositions in their unanalysed form must know it".
