The whole issue of whether 'logical truth' can exist independent of subjective minds is a meaningless question. 'Logical truth' is an explanatory tool to explain human-defined concepts. Its akin to asking "does the theory of evolution by natural selection" exist independently of subjective minds.
If there was an answer, it would have to be no, as the theory of evolution by natural selection is a human-defined explanatory tool which explains a wholly natural mindless mechanism.
Even if we could prove one way or another that logical truth does or doesn't exist independently of subjective minds (which we can't as its an axiom), it can then explained as a natural mindless mechanism, such as natural selection, the law of gravity etc.
You don't need to posit a transcendent objective mind, to explain such natural mechanisms - if you do so, the evidence must follow.
If there was an answer, it would have to be no, as the theory of evolution by natural selection is a human-defined explanatory tool which explains a wholly natural mindless mechanism.
Even if we could prove one way or another that logical truth does or doesn't exist independently of subjective minds (which we can't as its an axiom), it can then explained as a natural mindless mechanism, such as natural selection, the law of gravity etc.
You don't need to posit a transcendent objective mind, to explain such natural mechanisms - if you do so, the evidence must follow.
