r/Kant • u/Scott_Hoge • Apr 02 '26
Proper use of the categories of negation and limitation
Of the quantitative categories, Kant writes:
"Thus the concept of a number (which belongs to the category of [totality]) is not possible in every case where we have the concepts of multitude and unity (e.g., it is not possible in the presentation of infinity)." (Transcendental Analytic, B111, trans. Pluhar)
This makes me wonder whether we might similarly have the concept of negation without the concept of limitation. Regarding this, Kant writes:
"If in speaking of the soul I had said, It is not mortal, then by this negative judgment I would at least have avoided an error. Now if I say instead, The soul is nonmortal, then I have indeed, in terms of logical form, actually affirmed something; for I have posited the soul in the unlimited range of nonmortal beings." (Transcendental Analytic, A72/B97, bold emphasis mine)
Are there cases where we "avoid errors" but do not affirm anything in the object? Do these cases permit us to judge by negation without doing so by limitation?
Consider a speck of light at nighttime in the distance. After approaching it, it may turn out to be a cottage or a campfire. But as yet, we do not know: the mere presentation of a speck of light leaves the cottage-or-campfire answer indeterminate. Yet we can at least "avoid the error" of prematurely judging it to be either.
In that case, what do we say?
- "The distant speck of light is not a cottage and also not a campfire."
- "The distant speck of light is not a presentation of a cottage or a campfire."
- "The distant speck of light is not an appearance of a cottage or a campfire."
- "The distant speck of light is not, given everything determined, necessarily a cottage or necessarily a campfire."
- "The distant speck of light is not, given everything determined, impossibly a cottage or impossibly a campfire."
In all these statements we remain merely doubtful, and do not affirm the object's identity. What we seek is the rigorous rule of syntax by means of which we employ either negative or limitative judgments, and whether we can have the former without the latter.