If I understand correctly then Intimidate (demoralization -> shaken condition) is mind-effecting fear effect. As per Bold Stare (Psychic Inception) description states that such targets can be targeted with spell and abilities. Does that mean, that as level 3 Mesmerist I can intimidate Undead, Construct, Vermin, etc. creatures with Intimidation check giving them shaken condition?
Psychic Inception: The hypnotic stare and its penalty can affect creatures that are mindless or immune to mind-affecting effects (such as an undead or vermin). The mesmerist can also partially affect such a creature with his mind-affecting spells and abilities if it's under the effect of his hypnotic stare; it gains a +2 bonus on its saving throw (if any), and if affected, it still has a 50% chance each round of ignoring the effect. Ignoring the effect doesn't end the effect, but does allow the creature to act normally for that round.
Best Answer
Yes.
What is an ability is not defined by a game term.
Skills are considered abilities for all purposes where the rules references simply to "abilities".
We can see proof of this on a bunch of texts scattered through the books An example being the Downtime Rules from Ultimate Campaign:
Or even on the Core Rulebook, when defining Feats:
Special Abilities, on the other hand are defined as either Extraordinary, Supernatural or Spell-like. So if an effect calls for special abilities, it must be referencing to abilities that are either Ex, Su or Sp.
But otherwise, everything your character can do is considered an ability.
There is more information about abilities on this thread on paizo's forum.
The Psychic Inception says:
As defined on this FAQ entry (thanks @Detterm for pointing this out), Intimidate applies a fear effect and is also considered a mind-affecting ability, and fully qualifies on the restrictions of Psychic Inception.
Unless an errata is issued at a latter date to fix the text of the ability, Psychic Inception does affect Intimidate.