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A verbal definition does indeed state what a word means; but a real definition states what an object is, and the thought of a straight line is the thought of an object, not of words.
Human beings cannot really take up the latter standpoint but can form only an empty concept of things as they exist in themselves by abstracting from all the content of our experience and leaving only the purely formal thought of an object in general.
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For, even though an instance of one of the more complex modes of thought presents an "object" to the mind, as in the case of one's fearing a lion or affirming the Pythagorean Theorem (where the lion and the theorem are the "objects" presented), it is the ideational element (the idea) that does the presenting.
Once we make this distinction, we realize that although we must have some conception or representation in order to conceive of something, and that representation is in some sense thought of, it does not follow (contra Berkeley) that what we conceive of must be a thought-of object.
The real value of this volume - beautifully designed and manufactured by Hamish Hamilton - is not as a work of thought but as an object, a status symbol.
So, the emotion of love, for example, is the thought of the object of love plus an affect.
Unlike animal need, interest in a picture involves thought of its object.
And a thought can explain the movement of an object, as when my decision to quench my thirst leads to the movement of a glass of water to my lips.
The thought itself is unextended, like the mind whose state it is, but it is a thought of or about an object.
The transformation of the object of perception into the thought of the object of perception, that is to say, the attempt to reconstitute the world in immanence, is pursued not only by analytic reflection; it is also accomplished by the phenomenological reduction, at least as it is proposed by Husserl (1913, Volume One).
But while the content of thought is provided by the affection of an object on the faculty of sensibility, the way in which this content is cognized remains the purview of the faculty of the understanding.
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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