Logic doesn't need to exist outside our subjective minds for objective reality to exist. Logic is how we measure the reality we experience through our own experience.
Conceptual logic is fine, as with whatever you mean by 'Truth', unless you're talking about whether something 'does or does not exist', in which case that's an objective matter according to the evidence of it being the case due to our own experience on this planet.
EvF
Conceptual logic is fine, as with whatever you mean by 'Truth', unless you're talking about whether something 'does or does not exist', in which case that's an objective matter according to the evidence of it being the case due to our own experience on this planet.
EvF