Now here he does not appeal, as in all other cases, to experience, because in this case experience is not possible; yet he speaks with apodeictic certainty.
Kant believed himself to have established for philosophy a system of apodeictic conclusions, which were as completely forever to have displaced the old dogmatism as Copernicus had displaced the Ptolemaic astronomy.
What causes us here commonly to believe that the predicate of such apodeictic judgements is already contained in our conception, and that the judgement is therefore analytical, is merely the equivocal nature of the expression.
But that the I which thinks, must be considered as in thought always a subject, and as a thing which cannot be a predicate to thought, is anapodeictic and identical proposition.
These principles cannot be derived from experience, for it would give neither strict universality, nor apodeictic certainty.
In the former case, the dogmatist must take care that his arguments possess the apodeictic certainty of a demonstration.
If the latter, then neither an universally valid, much less an apodeictic proposition can arise from it, for experience never can give us any such proposition.
In the first place, it is evident that both present us, with very many apodeictic and synthetic propositions a priori, but especially space--and for this reason we shall prefer it for investigation at present.
But the former postulates the possibility of an object itself (God and the immortality of the soul) fromapodeictic practical laws, and therefore only for the purposes of a practical reason.
In other words, we take bodies in space and by examining their characteristics and properties arrive at an alleged apodeictic judgment of space.
For as knowledge becomes more developed and articulate, more and more necessary connections are perceived, and the merely categorical truths, though they remain the foundation of apodeictic judgments, diminish in relative number.
On the one hand, he says, Geometry is known to have apodeictic certainty: therefore space must be à priori and subjective.
The à priori, since Kant at any rate, has generally stood for the necessary or apodeictic element in knowledge.
Kant contends that since Geometry is apodeictic, space must be à priori and subjective, while since space is à priori and subjective, Geometry must be apodeictic 55 54.
He reduced the question to the following hypotheticals: If Geometry has apodeictic certainty, its matter, i.
Now it must be admitted, I think, that Metageometry has destroyed the legitimacy of the argument from Geometry to space; we can no longer affirm, on purely geometrical grounds, the apodeictic certainty of Euclid.
This is a strong argument for the empirical validity of Euclid, but as an argument for the apodeictic certainty of the orthodox system, it has an opposite tendency.
On the other hand, it follows, from grounds independent of Geometry, that space is subjective and à priori; therefore Geometry must have apodeictic certainty.
The apodeictic certainty of the axiom of parallels shrinks to an unmotived subjective conviction, and vanishes altogether in those who entertain non-Euclidean doubts.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "apodeictic" in a variety of sentences. We hope that you will now be able to make sentences using this word.
