The idea of a priori knowledge is not that it's intuitive, but that it is not dependent on experience for it to be conceivable.
If I am understanding your statement here correctly, you are saying that a priori knowledge hinges on the idea that concepts can be acquired independently of experience. If that is what you are saying, then you would be incorrect. Very few philosophers who accept the idea of a priori knowledge—or more appropriately: a priori justification—think that human-beings ever acquire concepts innately or that they can otherwise conceive ...
A priori knowledge: Yes
To ground epistemic justification of logical systems, or beliefs about the nature of mathematical objects (that is, not simply their presence and implications), is impossible because empirical analysis is constrained against other possible worlds.
Abstract objects: Platonism
To say that universals are but conceptual utilities is to be lazy and uninteresting. Universals are necessary to evade the problem of cosmic coincidence, and a world where common properties between objects is merely an arbitrary evaluation seems implausible
A priori knowledge: Yes. To ground epistemic justification of logical systems, or beliefs about the nature of mathematical objects (that is, not simply their presence and implications), is impossible because empirical analysis is constrained against other possible worlds. Abstract objects: Platonism. To say that universals are conceptual utilities is to be lazy and uninteresting. Universals are necessary to evade the problem of cosmic coincidence, and a world where common properties between objects is merely an arbitrary evaluation seems implausible. Aesth...
A priori knowledge: yes or no?
Yes.
Abstract objects: Platonism or nominalism?
Platonism. Full-fledged platonic realism.
Aesthetic value: objective or subjective?
Objective. I use a theory of subject-*independent sense-data to justify my aesthetic theories.
Analytic-synthetic distinction: yes or no?
Yes.
Epistemic justification: internalism or externalism?
Internalism. Epistemic justificaiton is conferred in propositional attitudes.
External world: idealism, skepticism, or non-skeptical realism?
Idealism. Panprotoexperientialism combined with objective idealism; the ...
A priori knowledge: yes or no?
Yes.
Abstract objects: Platonism or nominalism?
Platonism. That is to say, not simply immanent realism; full-fledged platonic realism about abstract objects.
Aesthetic value: objective or subjective?
Objective.
Analytic-synthetic distinction: yes or no?
Yes.
Epistemic justification: internalism or externalism?
Internalism.
External world: idealism, skepticism, or non-skeptical realism?
Non-skeptical realism.
Free will: compatibilism, libertarianism, or no free will?
Libertarianism. AKA "contra-causal free will".
God: theism or at...
The problem here is that you seem t... (read more)