conditions of the possibility of intersubjectively valid predicates

Regressively: If there is to be a cognizable truth, a truth, which is
indeed a truth, hence one single truth, valid in and of itself, which
is to serve as a judgmental norm for everyone, then concepts have
to exist which have a necessary relation to objects and to truths
valid for them. They may not depend on the contingency in which
25 cognitive functions function in individual subjects. An a priori has
to exist—as a sphere of necessities of intersubjectivity; a conceptual
system and a system of original truths has to exist, if, that is, all
objects are originarily only existent for us through sensible percep-
tion, originary truths, which make possible, as principles, a method,
30 which, in turn, makes possible a method of objective truth concern-
ing naturea for our cognition: hence conditions of the possibility of
intersubjectively valid predicates, to the extent that intersubjectivity
is to include every possible co-experiencing and co-judging agent,
who is capable of cognizing rationally.

Edmund Husserl, First Philosophy, 392

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