I think Science and Sanity lays out a framework for dealing with beliefs that doesn't categories them into true/false that is better than the basic true/false dichomity.
Using a ramified logic with more than two truth values is not the same as not using logic at all!
I care more about what Science and Sanity called semantic reactions than I care about presuppositions.
Basically you feed the relevant data into your mind and then you let it process the data. As a result of processing it there a semantic reaction. Internally the brain does that with a neural net that doesn't use logical chains to do it's work.
When I write here I point out the most important piece of the data, but not all of what my reasoning is based on because it's based on lots of experiences and lots of empiric data.
That is such a vague description of reasoning that it covers everything from superforecasting to schizobabble. You have relieved yourself of the burden of explaining how reasoning works without presupposiitons by not treating reasoning as something that necessarily works at all.
Using a ramified logic with more than two truth values is not the same as not using logic at all!
Could you define what you mean with "logic" if not thinking in terms of whether a statement is true?
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