Your arguement appears to be metalogical, perhaps.
Aesthetic, intuitive (from experience) and emotional values are variants, furthermore the spectrum opens to further empirical suggestion, such as neurology of other organisms that deviate from humans, yet empirical facts do appear to be consistent in this case.
Deduction may be interpreted 'circular' (iff), however this 'circular' is of different cognitive properties to that of 'circular reasoning/induction', being 'necessarily true'.
If (if and only if) all swans are white =/= all (empirical suggestion) the swans are white
What is 'necessarily true'?
Axiomatic derrivations of proof, theorems can be derrived to the axioms, such as Peano's Axiom of natural numbers.
This entailment is a deductive consequence, be it syntatical or semantical, my biased cognitive faculties suggest this to be 'necessarily true', it is consistent formation rules.
Are you familiar with Godel?
View his incompleteness theorems, this may clarify.