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The first and most obvious is that "liberty of spontaneity" is a wholly inadequate conception of moral freedom.
Still more recently, Pelczar has argued (forthcoming A and B) that the Extensional model rests on an inadequate conception of the temporal microstructure of consciousness.
Indeed, Thoreau would argue that the person who is seldom moved by the beauty of things is the one with an inadequate conception of reality, since it is the neutral observer who is less well aware of the world as it is.
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The conditions for permissible faith-venture may exclude faith in God under certain inadequate conceptions of who or what God is and arguably the 'omniGod' of much contemporary philosophy of religion is just such an inadequate conception (Bishop 2007b).
Inadequate sleep is associated with a poor conception of personal health, with more frequent complaints.
But the presumption must be that desires that are widespread or universal are aimed at some genuine and attainable good, however inadequate the conceptions of that good held by many individuals may be.
Kant, too, objects to the cosmological argument, but mainly on the grounds that it delivers an object that is inadequate to the classical conception of God.
However, the limited quality of available evidence due to inadequate study conception, design and conduct is responsible for much of this uncertainty.
These theories are inadequate because they have a deficient conception of the self, a deficiency he begins to remedy in the fifth essay, the famous 'My Station and Its Duties', where he outlines a social conception of the self and of morality with such vigour that it is understandable that the mistaken idea that it expresses his own position has gained some currency.
Cavendish and Conway are for the most part in agreement; she [Cavendish] simply rejects the traditional conception of matter as inadequate, and then proceeds to argue that the things that our concept of matter has always picked out the things that our language has designated as 'material' are something more.
But this conception of fallacies turns out to be inadequate to cover the variety of the core fallacies in two ways: it is too narrow because it excludes begging the question which is not invalid, and it is too wide because it condemns good but non-deductive arguments as fallacies (given that they also satisfy the appearance condition) because they are invalid.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com