Definitions HQ

A Definition (n.) belongs ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠only to mathematics; in philosophy one never defines, one only explicates.

A Definition (n.) in ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠philosophy must end the work rather than begin it — it is distinctness made precise, the last thing you reach.

A Definition (n.) of ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠a concept you invented yourself is always possible — but it is a declaration of your project, not a definition of any object.

A Definition (n.) of ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠an empirical thing like water is nothing but a fixing of the word; to know the thing one leaves the word behind and goes to experiment.

A Definition (n.) in ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠mathematics can never err, because it makes the concept rather than reporting on it; its only possible flaw is in its dress.

A Definition (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠not a precondition of thinking: if one could do nothing with a concept until one had defined it, all philosophizing would be in a bad way.

A Definition (n.) of ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠the real kind does not merely put other, clearer words in place of a name; it contains a mark by which the object can always be securely recognized — it makes distinct not just the concept but its objective reality.

A Definition (n.) need ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠not be ventured at once: it is a rule of prudence to make do with a few marks of a concept rather than pretend to completeness — and for the categories, we could not define them even if we wanted to.